RAGE_RGEQUATE 3.22 (September 20, 2005)

Input file:	rgequate_data.txt
Output file:	rgequate_out.txt
Columns read (new, old, scale):	2	3	4
PostSmoothing limit: 0.005
PostSmoothing parameter:	 0.01	 0.05	 0.10	 0.20	 0.30	 0.40	 0.50	 0.75	 1.00
PreSmoothing parameter Pairs (new, old):
				1,1
				2,2
				2,3
				6,3
				8,3
				10,3

Scale: min=1.00, max=36.00, inc=1.00
Sample sizes: new=0, old=0

Raw-to-Raw Score Conversion for Postsmoothing.
   X Score        SE  NoSmooth    S=0.01    S=0.05    S=0.10    S=0.20    S=0.30    S=0.40    S=0.50    S=0.75    S=1.00    linear
         0    1.4142     0.000     0.013     0.013     0.013     0.013     0.013     0.013     0.013     0.013     0.013     0.992
         1    0.0001     1.000     1.038     1.038     1.038     1.038     1.038     1.038     1.038     1.038     1.038     1.960
         2    0.0001     2.000     2.063     2.063     2.063     2.063     2.063     2.063     2.063     2.063     2.063     2.927
         3 2830.8869     3.000     3.089     3.089     3.089     3.089     3.089     3.089     3.089     3.089     3.089     3.895
         4 1778.7208     4.000     4.114     4.114     4.114     4.114     4.114     4.114     4.114     4.114     4.114     4.863
         5 1110.5894     5.038     5.139     5.139     5.139     5.139     5.139     5.139     5.139     5.139     5.139     5.831
         6  695.0304     6.066     6.165     6.165     6.165     6.165     6.165     6.165     6.165     6.165     6.165     6.799
         7  468.0034     7.088     7.190     7.190     7.190     7.190     7.190     7.190     7.190     7.190     7.190     7.767
         8  326.2941     8.100     8.215     8.215     8.215     8.215     8.215     8.215     8.215     8.215     8.215     8.734
         9  238.7082     9.107     9.241     9.241     9.241     9.241     9.241     9.241     9.241     9.241     9.241     9.702
        10  180.3813    10.111    10.266    10.266    10.266    10.266    10.266    10.266    10.266    10.266    10.266    10.670
        11  140.7495    11.113    11.291    11.291    11.291    11.291    11.291    11.291    11.291    11.291    11.291    11.638
        12  112.6765    12.114    12.317    12.317    12.317    12.317    12.317    12.317    12.317    12.317    12.317    12.606
        13   92.3394    13.114    13.342    13.342    13.342    13.342    13.342    13.342    13.342    13.342    13.342    13.573
        14   77.2097    14.113    14.367    14.367    14.367    14.367    14.367    14.367    14.367    14.367    14.367    14.541
        15   65.7276    15.111    15.393    15.393    15.393    15.393    15.393    15.393    15.393    15.393    15.393    15.509
        16   56.8494    16.109    16.418    16.418    16.418    16.418    16.418    16.418    16.418    16.418    16.418    16.477
        17   49.8730    17.106    17.431    17.431    17.431    17.431    17.431    17.431    17.431    17.431    17.431    17.445
        18   44.3131    18.103    18.399    18.399    18.399    18.399    18.399    18.399    18.399    18.399    18.399    18.413
        19   39.8251    19.100    19.367    19.367    19.367    19.367    19.367    19.367    19.367    19.367    19.367    19.380
        20   36.1635    20.097    20.334    20.334    20.334    20.334    20.334    20.334    20.334    20.334    20.334    20.348
        21   33.1467    21.093    21.302    21.302    21.302    21.302    21.302    21.302    21.302    21.302    21.302    21.316
        22   30.6390    22.090    22.270    22.270    22.270    22.270    22.270    22.270    22.270    22.270    22.270    22.284
        23   28.5387    23.086    23.237    23.237    23.237    23.237    23.237    23.237    23.237    23.237    23.237    23.252
        24   26.7663    24.082    24.205    24.205    24.205    24.205    24.205    24.205    24.205    24.205    24.205    24.219
        25   25.2616    25.077    25.173    25.173    25.173    25.173    25.173    25.173    25.173    25.173    25.173    25.187
        26   23.9764    26.071    26.141    26.141    26.141    26.141    26.141    26.141    26.141    26.141    26.141    26.155
        27   22.8726    27.065    27.108    27.108    27.108    27.108    27.108    27.108    27.108    27.108    27.108    27.123
        28   21.9199    28.057    28.076    28.076    28.076    28.076    28.076    28.076    28.076    28.076    28.076    28.091
        29   21.0939    29.048    29.044    29.044    29.044    29.044    29.044    29.044    29.044    29.044    29.044    29.059
        30   20.3749    30.037    30.011    30.011    30.011    30.011    30.011    30.011    30.011    30.011    30.011    30.026
        31   19.7467    31.024    30.979    30.979    30.979    30.979    30.979    30.979    30.979    30.979    30.979    30.994
        32   19.1966    32.008    31.947    31.947    31.947    31.947    31.947    31.947    31.947    31.947    31.947    31.962
        33   18.7144    32.990    32.915    32.915    32.915    32.915    32.915    32.915    32.915    32.915    32.915    32.930
        34   18.2920    33.969    33.882    33.882    33.882    33.882    33.882    33.882    33.882    33.882    33.882    33.898
        35   17.9233    34.946    34.850    34.850    34.850    34.850    34.850    34.850    34.850    34.850    34.850    34.865
        36   17.6040    35.919    35.818    35.818    35.818    35.818    35.818    35.818    35.818    35.818    35.818    35.833
        37   17.3312    36.889    36.785    36.785    36.785    36.785    36.785    36.785    36.785    36.785    36.785    36.801
        38   17.1035    37.857    37.753    37.753    37.753    37.753    37.753    37.753    37.753    37.753    37.753    37.769
        39   16.9207    38.821    38.721    38.721    38.721    38.721    38.721    38.721    38.721    38.721    38.721    38.737
        40   16.7841    39.782    39.689    39.689    39.689    39.689    39.689    39.689    39.689    39.689    39.689    39.705
        41   16.6960    40.741    40.656    40.656    40.656    40.656    40.656    40.656    40.656    40.656    40.656    40.672
        42   16.6602    41.697    41.624    41.624    41.624    41.624    41.624    41.624    41.624    41.624    41.624    41.640
        43   16.6816    42.651    42.592    42.592    42.592    42.592    42.592    42.592    42.592    42.592    42.592    42.608
        44   16.7668    43.604    43.559    43.559    43.559    43.559    43.559    43.559    43.559    43.559    43.559    43.576
        45   16.9241    44.554    44.527    44.527    44.527    44.527    44.527    44.527    44.527    44.527    44.527    44.544
        46   17.1637    45.503    45.495    45.495    45.495    45.495    45.495    45.495    45.495    45.495    45.495    45.512
        47   16.3886    46.454    46.462    46.462    46.462    46.462    46.462    46.462    46.462    46.462    46.462    46.479
        48   16.4910    47.406    47.430    47.430    47.430    47.430    47.430    47.430    47.430    47.430    47.430    47.447
        49   16.6770    48.359    48.398    48.398    48.398    48.398    48.398    48.398    48.398    48.398    48.398    48.415
        50   16.9589    49.312    49.366    49.366    49.366    49.366    49.366    49.366    49.366    49.366    49.366    49.383
        51   17.3522    50.267    50.333    50.333    50.333    50.333    50.333    50.333    50.333    50.333    50.333    50.351
        52   17.8766    51.224    51.301    51.301    51.301    51.301    51.301    51.301    51.301    51.301    51.301    51.318
        53   18.5576    52.183    52.269    52.269    52.269    52.269    52.269    52.269    52.269    52.269    52.269    52.286
        54   19.4283    53.145    53.236    53.236    53.236    53.236    53.236    53.236    53.236    53.236    53.236    53.254
        55   20.5327    54.110    54.204    54.204    54.204    54.204    54.204    54.204    54.204    54.204    54.204    54.222
        56   21.9299    55.078    55.172    55.172    55.172    55.172    55.172    55.172    55.172    55.172    55.172    55.190
        57   23.7009    56.049    56.140    56.140    56.140    56.140    56.140    56.140    56.140    56.140    56.140    56.158
        58   25.9580    57.025    57.107    57.107    57.107    57.107    57.107    57.107    57.107    57.107    57.107    57.125
        59   28.8630    58.006    58.075    58.075    58.075    58.075    58.075    58.075    58.075    58.075    58.075    58.093
        60   32.6515    58.992    59.047    59.047    59.047    59.047    59.047    59.047    59.047    59.047    59.047    59.061
        61   37.6833    59.985    60.174    60.174    60.174    60.174    60.174    60.174    60.174    60.174    60.174    60.029
        62   44.5196    60.986    61.301    61.301    61.301    61.301    61.301    61.301    61.301    61.301    61.301    60.997
        63   54.0858    61.997    62.428    62.428    62.428    62.428    62.428    62.428    62.428    62.428    62.428    61.964
        64   68.0229    63.019    63.555    63.555    63.555    63.555    63.555    63.555    63.555    63.555    63.555    62.932
        65   89.3406    64.057    64.682    64.682    64.682    64.682    64.682    64.682    64.682    64.682    64.682    63.900
        66  124.0586    65.116    65.809    65.809    65.809    65.809    65.809    65.809    65.809    65.809    65.809    64.868
        67  183.4597    66.224    66.936    66.936    66.936    66.936    66.936    66.936    66.936    66.936    66.936    65.836

Raw Score Moments for Postsmoothing:
Test Form       Mean        SE        sk        ku
Form Y:     39.6953    8.9579   -0.1659    2.6312 
Form X:     39.9904    9.2558   -0.1340    2.5911 
Form X Equated to Form Y Scale
Unsmth:     39.6941    8.9569   -0.1657    2.6316 
S=0.01:     39.6805    8.9632   -0.1322    2.6033 
S=0.05:     39.6805    8.9632   -0.1322    2.6033 
S=0.10:     39.6805    8.9632   -0.1322    2.6033 
S=0.20:     39.6805*   8.9632   -0.1322    2.6033 
S=0.30:     39.6805    8.9632   -0.1322*   2.6033 
S=0.40:     39.6805    8.9632*  -0.1322    2.6033*
S=0.50:     39.6805    8.9632   -0.1322    2.6033 
S=0.75:     39.6805    8.9632   -0.1322    2.6033 
S=1.00:     39.6805    8.9632   -0.1322    2.6033 
Linear:     39.6953    8.9579   -0.1340    2.5911 

Unrounded Raw-to-Scale Score Conversion for Postsmoothing.
   X Score  NoSmooth    S=0.01    S=0.05    S=0.10    S=0.20    S=0.30    S=0.40    S=0.50    S=0.75    S=1.00    Linear
       0        1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00
       1        1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00
       2        1.00      1.06      1.06      1.06      1.06      1.06      1.06      1.06      1.06      1.06      1.93
       3        2.00      2.00      2.00      2.00      2.00      2.00      2.00      2.00      2.00      2.00      2.00
       4        2.00      2.11      2.11      2.11      2.11      2.11      2.11      2.11      2.11      2.11      2.86
       5        3.00      3.00      3.00      3.00      3.00      3.00      3.00      3.00      3.00      3.00      3.00
       6        3.07      3.16      3.16      3.16      3.16      3.16      3.16      3.16      3.16      3.16      3.80
       7        4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00
       8        4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00
       9        4.11      4.24      4.24      4.24      4.24      4.24      4.24      4.24      4.24      4.24      4.70
      10        5.00      5.00      5.00      5.00      5.00      5.00      5.00      5.00      5.00      5.00      5.00
      11        5.11      5.29      5.29      5.29      5.29      5.29      5.29      5.29      5.29      5.29      5.64
      12        6.00      6.00      6.00      6.00      6.00      6.00      6.00      6.00      6.00      6.00      6.00
      13        6.11      6.34      6.34      6.34      6.34      6.34      6.34      6.34      6.34      6.34      6.57
      14        7.00      7.00      7.00      7.00      7.00      7.00      7.00      7.00      7.00      7.00      7.00
      15        7.11      7.39      7.39      7.39      7.39      7.39      7.39      7.39      7.39      7.39      7.51
      16        8.11      8.42      8.42      8.42      8.42      8.42      8.42      8.42      8.42      8.42      8.48
      17        9.11      9.43      9.43      9.43      9.43      9.43      9.43      9.43      9.43      9.43      9.44
      18       10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00
      19       10.10     10.37     10.37     10.37     10.37     10.37     10.37     10.37     10.37     10.37     10.38
      20       11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00
      21       11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00
      22       11.09     11.27     11.27     11.27     11.27     11.27     11.27     11.27     11.27     11.27     11.28
      23       12.09     12.24     12.24     12.24     12.24     12.24     12.24     12.24     12.24     12.24     12.25
      24       13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00
      25       13.08     13.17     13.17     13.17     13.17     13.17     13.17     13.17     13.17     13.17     13.19
      26       14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00
      27       14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00
      28       14.06     14.08     14.08     14.08     14.08     14.08     14.08     14.08     14.08     14.08     14.09
      29       15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00
      30       15.04     15.01     15.01     15.01     15.01     15.01     15.01     15.01     15.01     15.01     15.03
      31       16.00     15.98     15.98     15.98     15.98     15.98     15.98     15.98     15.98     15.98     15.99
      32       16.01     16.00     16.00     16.00     16.00     16.00     16.00     16.00     16.00     16.00     16.00
      33       16.99     16.91     16.91     16.91     16.91     16.91     16.91     16.91     16.91     16.91     16.93
      34       17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00
      35       17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00
      36       17.92     17.82     17.82     17.82     17.82     17.82     17.82     17.82     17.82     17.82     17.83
      37       18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00
      38       18.86     18.75     18.75     18.75     18.75     18.75     18.75     18.75     18.75     18.75     18.77
      39       19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00
      40       19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00
      41       19.74     19.66     19.66     19.66     19.66     19.66     19.66     19.66     19.66     19.66     19.67
      42       20.70     20.62     20.62     20.62     20.62     20.62     20.62     20.62     20.62     20.62     20.64
      43       21.65     21.59     21.59     21.59     21.59     21.59     21.59     21.59     21.59     21.59     21.61
      44       22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00
      45       22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00
      46       22.50     22.49     22.49     22.49     22.49     22.49     22.49     22.49     22.49     22.49     22.51
      47       23.45     23.46     23.46     23.46     23.46     23.46     23.46     23.46     23.46     23.46     23.48
      48       24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00
      49       24.36     24.40     24.40     24.40     24.40     24.40     24.40     24.40     24.40     24.40     24.41
      50       25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00
      51       25.27     25.33     25.33     25.33     25.33     25.33     25.33     25.33     25.33     25.33     25.35
      52       26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00
      53       26.18     26.27     26.27     26.27     26.27     26.27     26.27     26.27     26.27     26.27     26.29
      54       27.15     27.24     27.24     27.24     27.24     27.24     27.24     27.24     27.24     27.24     27.25
      55       28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00
      56       28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00
      57       28.05     28.14     28.14     28.14     28.14     28.14     28.14     28.14     28.14     28.14     28.16
      58       29.00     29.00     29.00     29.00     29.00     29.00     29.00     29.00     29.00     29.00     29.00
      59       29.01     29.08     29.08     29.08     29.08     29.08     29.08     29.08     29.08     29.08     29.09
      60       29.99     30.05     30.05     30.05     30.05     30.05     30.05     30.05     30.05     30.05     30.06
      61       30.99     31.00     31.00     31.00     31.00     31.00     31.00     31.00     31.00     31.00     31.00
      62       31.00     31.30     31.30     31.30     31.30     31.30     31.30     31.30     31.30     31.30     31.00
      63       32.00     32.43     32.43     32.43     32.43     32.43     32.43     32.43     32.43     32.43     31.96
      64       33.02     33.56     33.56     33.56     33.56     33.56     33.56     33.56     33.56     33.56     32.93
      65       34.06     34.68     34.68     34.68     34.68     34.68     34.68     34.68     34.68     34.68     33.90
      66       35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00     34.87
      67       35.22     35.94     35.94     35.94     35.94     35.94     35.94     35.94     35.94     35.94     35.00

Rounded Raw-to-Scale Score Conversion for Postsmoothing.
   X Score  NoSmooth    S=0.01    S=0.05    S=0.10    S=0.20    S=0.30    S=0.40    S=0.50    S=0.75    S=1.00    Linear
         0      1         1         1         1         1         1         1         1         1         1         1   
         1      1         1         1         1         1         1         1         1         1         1         1   
         2      1         1         1         1         1         1         1         1         1         1         2   
         3      2         2         2         2         2         2         2         2         2         2         2   
         4      2         2         2         2         2         2         2         2         2         2         3   
         5      3         3         3         3         3         3         3         3         3         3         3   
         6      3         3         3         3         3         3         3         3         3         3         4   
         7      4         4         4         4         4         4         4         4         4         4         4   
         8      4         4         4         4         4         4         4         4         4         4         4   
         9      4         4         4         4         4         4         4         4         4         4         5   
        10      5         5         5         5         5         5         5         5         5         5         5   
        11      5         5         5         5         5         5         5         5         5         5         6   
        12      6         6         6         6         6         6         6         6         6         6         6   
        13      6         6         6         6         6         6         6         6         6         6         7   
        14      7         7         7         7         7         7         7         7         7         7         7   
        15      7         7         7         7         7         7         7         7         7         7         8   
        16      8         8         8         8         8         8         8         8         8         8         8   
        17      9         9         9         9         9         9         9         9         9         9         9   
        18     10        10        10        10        10        10        10        10        10        10        10   
        19     10        10        10        10        10        10        10        10        10        10        10   
        20     11        11        11        11        11        11        11        11        11        11        11   
        21     11        11        11        11        11        11        11        11        11        11        11   
        22     11        11        11        11        11        11        11        11        11        11        11   
        23     12        12        12        12        12        12        12        12        12        12        12   
        24     13        13        13        13        13        13        13        13        13        13        13   
        25     13        13        13        13        13        13        13        13        13        13        13   
        26     14        14        14        14        14        14        14        14        14        14        14   
        27     14        14        14        14        14        14        14        14        14        14        14   
        28     14        14        14        14        14        14        14        14        14        14        14   
        29     15        15        15        15        15        15        15        15        15        15        15   
        30     15        15        15        15        15        15        15        15        15        15        15   
        31     16        16        16        16        16        16        16        16        16        16        16   
        32     16        16        16        16        16        16        16        16        16        16        16   
        33     17        17        17        17        17        17        17        17        17        17        17   
        34     17        17        17        17        17        17        17        17        17        17        17   
        35     17        17        17        17        17        17        17        17        17        17        17   
        36     18        18        18        18        18        18        18        18        18        18        18   
        37     18        18        18        18        18        18        18        18        18        18        18   
        38     19        19        19        19        19        19        19        19        19        19        19   
        39     19        19        19        19        19        19        19        19        19        19        19   
        40     19        19        19        19        19        19        19        19        19        19        19   
        41     20        20        20        20        20        20        20        20        20        20        20   
        42     21        21        21        21        21        21        21        21        21        21        21   
        43     22        22        22        22        22        22        22        22        22        22        22   
        44     22        22        22        22        22        22        22        22        22        22        22   
        45     22        22        22        22        22        22        22        22        22        22        22   
        46     23***     22        22        22        22        22        22        22        22        22        23   
        47     23        23        23        23        23        23        23        23        23        23        23   
        48     24        24        24        24        24        24        24        24        24        24        24   
        49     24        24        24        24        24        24        24        24        24        24        24   
        50     25        25        25        25        25        25        25        25        25        25        25   
        51     25        25        25        25        25        25        25        25        25        25        25   
        52     26        26        26        26        26        26        26        26        26        26        26   
        53     26        26        26        26        26        26        26        26        26        26        26   
        54     27        27        27        27        27        27        27        27        27        27        27   
        55     28        28        28        28        28        28        28        28        28        28        28   
        56     28        28        28        28        28        28        28        28        28        28        28   
        57     28        28        28        28        28        28        28        28        28        28        28   
        58     29        29        29        29        29        29        29        29        29        29        29   
        59     29        29        29        29        29        29        29        29        29        29        29   
        60     30        30        30        30        30        30        30        30        30        30        30   
        61     31        31        31        31        31        31        31        31        31        31        31   
        62     31        31        31        31        31        31        31        31        31        31        31   
        63     32        32        32        32        32        32        32        32        32        32        32   
        64     33***     34        34        34        34        34        34        34        34        34        33   
        65     34***     35        35        35        35        35        35        35        35        35        34   
        66     35        35        35        35        35        35        35        35        35        35        35   
        67     35***     36        36        36        36        36        36        36        36        36        35   

Scale Score Moments for Postsmoothing:
Test Form         Mean        SE        sk        ku
Form Y:
   unrounded   19.9096    4.4848    0.0419    2.6256
     rounded   19.9096    4.4848    0.0419    2.6256
Form x Equated to Form Y Scale for
Unsmoothed
   unrounded  19.9092    4.4801    0.0402    2.6281 
     rounded  19.9275    4.4677   -0.0032    2.6488 
S=0.01
   unrounded  19.9044    4.4845    0.0763    2.6112 
     rounded  19.8922*   4.4489*   0.0166*   2.7054*
S=0.05
   unrounded  19.9044*   4.4845    0.0763    2.6112*
     rounded  19.8922    4.4489    0.0166    2.7054 
S=0.10
   unrounded  19.9044    4.4845*   0.0763    2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
S=0.20
   unrounded  19.9044    4.4845    0.0763    2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
S=0.30
   unrounded  19.9044    4.4845    0.0763*   2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
S=0.40
   unrounded  19.9044    4.4845    0.0763    2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
S=0.50
   unrounded  19.9044    4.4845    0.0763    2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
S=0.75
   unrounded  19.9044    4.4845    0.0763    2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
S=1.00
   unrounded  19.9044    4.4845    0.0763    2.6112 
     rounded  19.8922    4.4489    0.0166    2.7054 
Linear
   unrounded  19.9117    4.4807    0.0722    2.5870 
     rounded  19.9293    4.4627    0.0055    2.6220 

Data for Form Y and Form X:
     Score   Ny*g(y)   Ny*G(y)      g(y)      G(y)      Q(y)   Nx*f(x)   Nx*F(x)      f(x)      F(x)      P(x)
         0         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         1         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         2         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         3         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         4         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         5         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         6         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         7         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         8         0         0    0.0000    0.0000      0.00         0         0    0.0000    0.0000      0.00
         9         0         0    0.0000    0.0001      0.01         0         0    0.0000    0.0001      0.01
        10         0         0    0.0001    0.0002      0.01         0         0    0.0001    0.0002      0.01
        11         0         0    0.0002    0.0003      0.03         0         0    0.0002    0.0004      0.03
        12         0         0    0.0003    0.0006      0.05         0         0    0.0003    0.0006      0.05
        13         0         0    0.0004    0.0010      0.08         0         0    0.0005    0.0011      0.09
        14         0         0    0.0007    0.0017      0.14         0         0    0.0007    0.0018      0.15
        15         0         0    0.0010    0.0027      0.22         0         0    0.0011    0.0029      0.23
        16         0         0    0.0015    0.0042      0.35         0         0    0.0015    0.0044      0.36
        17         0         0    0.0020    0.0062      0.52         0         0    0.0021    0.0065      0.54
        18         0         0    0.0028    0.0090      0.76         0         0    0.0028    0.0093      0.79
        19         0         0    0.0037    0.0126      1.08         0         0    0.0037    0.0130      1.12
        20         0         0    0.0047    0.0174      1.50         0         0    0.0048    0.0179      1.55
        21         0         0    0.0060    0.0234      2.04         0         0    0.0061    0.0240      2.09
        22         0         0    0.0075    0.0308      2.71         0         0    0.0076    0.0315      2.78
        23         0         0    0.0091    0.0399      3.54         0         0    0.0092    0.0408      3.62
        24         0         0    0.0109    0.0509      4.54         0         0    0.0110    0.0518      4.63
        25         0         0    0.0129    0.0638      5.73         0         0    0.0130    0.0648      5.83
        26         0         0    0.0151    0.0789      7.13         0         0    0.0151    0.0800      7.24
        27         0         0    0.0173    0.0962      8.75         0         0    0.0174    0.0973      8.87
        28         0         0    0.0197    0.1159     10.61         0         0    0.0197    0.1170     10.72
        29         0         0    0.0221    0.1380     12.70         0         0    0.0220    0.1390     12.80
        30         0         0    0.0246    0.1626     15.03         0         0    0.0244    0.1634     15.12
        31         0         0    0.0270    0.1896     17.61         0         0    0.0267    0.1901     17.67
        32         0         0    0.0294    0.2190     20.43         0         0    0.0289    0.2190     20.45
        33         0         0    0.0317    0.2506     23.48         0         0    0.0310    0.2500     23.45
        34         0         0    0.0338    0.2845     26.75         0         0    0.0330    0.2830     26.65
        35         0         0    0.0358    0.3202     30.23         0         0    0.0348    0.3178     30.04
        36         0         0    0.0376    0.3578     33.90         0         0    0.0364    0.3542     33.60
        37         0         0    0.0391    0.3969     37.73         0         0    0.0377    0.3919     37.30
        38         0         0    0.0403    0.4372     41.70         0         0    0.0388    0.4306     41.12
        39         0         0    0.0412    0.4784     45.78         0         0    0.0395    0.4701     45.04
        40         0         0    0.0418    0.5201     49.92         0         0    0.0400    0.5102     49.01
        41         0         0    0.0419    0.5621     54.11         0         0    0.0402    0.5503     53.02
        42         0         0    0.0417    0.6038     58.29         0         0    0.0400    0.5903     57.03
        43         0         0    0.0411    0.6449     62.44         0         0    0.0395    0.6298     61.00
        44         0         0    0.0401    0.6850     66.50         0         0    0.0386    0.6684     64.91
        45         0         0    0.0387    0.7237     70.43         0         0    0.0374    0.7058     68.71
        46         0         0    0.0368    0.7605     74.21         0         0    0.0359    0.7418     72.38
        47         0         0    0.0347    0.7952     77.78         0         0    0.0341    0.7759     75.88
        48         0         0    0.0322    0.8273     81.12         0         0    0.0320    0.8079     79.19
        49         0         0    0.0294    0.8567     84.20         0         0    0.0297    0.8376     82.28
        50         0         0    0.0265    0.8832     87.00         0         0    0.0272    0.8648     85.12
        51         0         0    0.0234    0.9066     89.49         0         0    0.0245    0.8893     87.71
        52         0         0    0.0203    0.9269     91.68         0         0    0.0217    0.9110     90.02
        53         0         0    0.0172    0.9442     93.55         0         0    0.0189    0.9300     92.05
        54         0         0    0.0143    0.9585     95.13         0         0    0.0162    0.9461     93.80
        55         0         0    0.0116    0.9701     96.43         0         0    0.0135    0.9597     95.29
        56         0         0    0.0091    0.9791     97.46         0         0    0.0110    0.9707     96.52
        57         0         0    0.0069    0.9861     98.26         0         0    0.0087    0.9794     97.50
        58         0         0    0.0051    0.9911     98.86         0         0    0.0067    0.9861     98.28
        59         0         0    0.0035    0.9946     99.29         0         0    0.0050    0.9911     98.86
        60         0         0    0.0023    0.9970     99.58         0         0    0.0035    0.9946     99.28
        61         0         0    0.0015    0.9984     99.77         0         0    0.0024    0.9970     99.58
        62         0         0    0.0008    0.9993     99.89         0         0    0.0015    0.9984     99.77
        63         0         0    0.0004    0.9997     99.95         0         0    0.0009    0.9993     99.89
        64         0         0    0.0002    0.9999     99.98         0         0    0.0004    0.9997     99.95
        65         0         0    0.0001    1.0000     99.99         0         0    0.0002    0.9999     99.98
        66         0         0    0.0000    1.0000    100.00         0         0    0.0001    1.0000    100.00
        67         0         0    0.0000    1.0000    100.00         0         0    0.0000    1.0000    100.00

 Moments and Fit Statistics for Presmoothing.
Form Y:
  Method      Mean        SE        sk        ku   Chi-Squared  df  Difference
   Beta4   39.695333  8.957925 -0.165888  2.631173       0.000  63            (alpha= 5.83;beta= 4.35;lower= 0.13;upper= 0.94)
Log-linear
   C=10    39.690866  8.966740 -0.172544  2.656625       0.000  57
   C= 9    39.691112  8.966222 -0.172076  2.654864       0.000  58      -0.000
   C= 8    39.685161  8.978052 -0.181174  2.690246       0.001  59       0.000
   C= 7    39.686050  8.976762 -0.180725  2.689941       0.001  60       0.000
   C= 6    39.689449  8.969832 -0.175006  2.666875       0.001  61       0.000
   C= 5    39.687256  8.973476 -0.176610  2.670829       0.001  62      -0.000
   C= 4    39.695038  8.958374 -0.166058  2.631621       0.000  63      -0.000
   C= 3    39.694365  8.959443 -0.166650  3.032753       0.011  64       0.011
   C= 2    39.693611  8.960622 -0.029467  2.927265       0.015  65       0.003
   C= 1    39.695117 19.036560 -0.384580  2.004844       1.132  66       1.117

 Form X:
  Method      Mean        SE        sk        ku   Chi-Squared  df  Difference
   Beta4   39.990431  9.255768 -0.134017  2.591066       0.000  63            (alpha= 5.27;beta= 4.32;lower= 0.15;upper= 0.97)
Log-linear
   C=10    39.985930  9.264397 -0.140192  2.613756       0.000  57
   C= 9    39.986280  9.263702 -0.139651  2.611837       0.000  58      -0.000
   C= 8    39.980391  9.275133 -0.148037  2.643330       0.001  59       0.000
   C= 7    39.981126  9.274176 -0.147839  2.643852       0.001  60       0.000
   C= 6    39.984282  9.267825 -0.142730  2.623751       0.001  61       0.000
   C= 5    39.982488  9.270579 -0.143651  2.625162       0.001  62      -0.000
   C= 4    39.983507  9.266549 -0.138180  2.602250       0.001  63       0.000
   C= 3    39.989616  9.256992 -0.134591  2.977477       0.012  64       0.011
   C= 2    39.989147  9.257660 -0.040829  2.905793       0.014  65       0.002
   C= 1    39.990192 18.978426 -0.403485  2.025664       1.057  66       1.043

Raw-to-Raw Score Conversion for Presmoothing.
   X Score    C=1       C=2       C=3       C=4       C=5       C=6       C=7       C=8       C=9       C=10      Beta4 
    0       -0.01601   0.30884  -0.04304   0.24793   0.01788  -0.06040  -0.01689  -0.00829  -0.00093   0.00763  -0.21944
    1        0.95289   1.60399   0.90469   1.36359   1.04031   0.85612   0.93002   0.95996   0.98803   1.01987   0.77631
    2        1.92308   2.72640   1.88188   2.37638   2.05288   1.83015   1.92096   1.94464   1.96000   1.99334   1.77521
    3        2.89454   3.78931   2.87875   3.36308   3.05932   2.84625   2.96814   2.95872   2.93829   2.95648   2.77752
    4        3.86726   4.81628   3.88847   4.34388   4.06221   3.88686   4.05194   3.99720   3.93947   3.93738   3.78343
    5        4.84120   5.82136   4.90631   5.32437   5.06324   4.93712   5.13787   5.04288   4.96025   4.94575   4.79297
    6        5.81635   6.81300   5.92894   6.30608   6.06348   5.98684   6.20043   6.08069   5.98863   5.97417   5.80607
    7        6.79270   7.79631   6.95405   7.28934   7.06353   7.03034   7.23202   7.10466   7.01569   7.00991   6.82250
    8        7.77022   8.77444   7.98000   8.27415   8.06376   8.06528   8.23784   8.11604   8.03802   8.04349   7.84188
    9        8.74890   9.74933   9.00565   9.26039   9.06431   9.09147   9.22738   9.11885   9.05544   9.07049   8.86372
   10        9.72871  10.72218  10.03022  10.24791  10.06526  10.10982  10.20901  10.11695  10.06887  10.09007   9.88742
   11       10.70964  11.69373  11.05315  11.23659  11.06660  11.12167  11.18831  11.11300  11.07924  11.10308  10.91233
   12       11.69168  12.66446  12.07407  12.22628  12.06829  12.12842  12.16832  12.10853  12.08723  12.11087  11.93777
   13       12.67479  13.63465  13.09272  13.21686  13.07028  13.13131  13.15042  13.10430  13.09331  13.11471  12.96308
   14       13.65898  14.60448  14.10896  14.20819  14.07248  14.13138  14.13503  14.10062  14.09775  14.11568  13.98763
   15       14.64422  15.57404  15.12268  15.20016  15.07481  15.12945  15.12216  15.09757  15.10074  15.11464  15.01087
   16       15.63049  16.54338  16.13385  16.19264  16.07719  16.12615  16.11160  16.09512  16.10243  16.11222  16.03233
   17       16.61777  17.51254  17.14246  17.18550  17.07950  17.12194  17.10309  17.09318  17.10292  17.10892  17.05163
   18       17.60606  18.47599  18.14852  18.17860  18.08165  18.11717  18.09634  18.09164  18.10236  18.10513  18.06846
   19       18.59534  19.43623  19.15208  19.17180  19.08350  19.11206  19.09108  19.09037  19.10085  19.10110  19.08261
   20       19.58559  20.39717  20.15318  20.16494  20.08495  20.10675  20.08704  20.08921  20.09851  20.09701  20.09392
   21       20.57679  21.35878  21.15189  21.15787  21.08585  21.10132  21.08392  21.08799  21.09546  21.09296  21.10231
   22       21.56893  22.32101  22.14826  22.15040  22.08605  22.09576  22.08142  22.08653  22.09176  22.08894  22.10774
   23       22.56200  23.28382  23.14239  23.14238  23.08539  23.09004  23.07920  23.08461  23.08748  23.08489  23.11019
   24       23.55599  24.24715  24.13433  24.13361  24.08370  24.08407  24.07691  24.08200  24.08263  24.08065  24.10972
   25       24.55087  25.21096  25.12416  25.12390  25.08082  25.07772  25.07418  25.07847  25.07716  25.07602  25.10636
   26       25.54663  26.17520  26.11195  26.11307  26.07654  26.07081  26.07061  26.07377  26.07097  26.07075  26.10018
   27       26.54326  27.13983  27.09779  27.10094  27.07068  27.06314  27.06582  27.06767  27.06392  27.06453  27.09127
   28       27.54075  28.10479  28.08173  28.08732  28.06304  28.05448  28.05942  28.05991  28.05580  28.05706  28.07972
   29       28.53909  29.07005  29.06383  29.07207  29.05342  29.04458  29.05106  29.05028  29.04637  29.04803  29.06560
   30       29.53825  30.03555  30.04417  30.05502  30.04165  30.03315  30.04043  30.03857  30.03534  30.03713  30.04903
   31       30.53823  31.00125  31.02278  31.03606  31.02753  31.01993  31.02725  31.02462  31.02242  31.02407  31.03008
   32       31.53901  31.96712  31.99973  32.01508  32.01091  32.00464  32.01134  32.00826  32.00729  32.00861  32.00885
   33       32.54059  32.93310  32.97504  32.99200  32.99164  32.98701  32.99254  32.98937  32.98969  32.99053  32.98543
   34       33.54295  33.89916  33.94877  33.96678  33.96961  33.96681  33.97078  33.96786  33.96933  33.96964  33.95990
   35       34.54607  34.86525  34.92093  34.93940  34.94475  34.94384  34.94606  34.94367  34.94603  34.94582  34.93234
   36       35.54995  35.83133  35.89154  35.90986  35.91700  35.91795  35.91839  35.91675  35.91962  35.91898  35.90282
   37       36.55458  36.79738  36.86063  36.87822  36.88638  36.88902  36.88786  36.88707  36.89004  36.88910  36.87143
   38       37.55993  37.76334  37.82818  37.84452  37.85294  37.85704  37.85457  37.85464  37.85728  37.85621  37.83821
   39       38.56601  38.72918  38.79421  38.80885  38.81675  38.82201  38.81864  38.81949  38.82142  38.82038  38.80324
   40       39.57280  39.69487  39.75870  39.77132  39.77798  39.78404  39.78019  39.78165  39.78263  39.78175  39.76656
   41       40.58029  40.66037  40.72162  40.73201  40.73679  40.74328  40.73937  40.74120  40.74111  40.74050  40.72823
   42       41.58847  41.62565  41.68295  41.69105  41.69341  41.69992  41.69632  41.69825  41.69715  41.69688  41.68828
   43       42.59733  42.59070  42.64265  42.64853  42.64808  42.65423  42.65116  42.65292  42.65104  42.65113  42.64674
   44       43.60685  43.55547  43.60068  43.60453  43.60106  43.60646  43.60405  43.60541  43.60308  43.60352  43.60365
   45       44.61704  44.51997  44.55698  44.55914  44.55260  44.55693  44.55514  44.55591  44.55359  44.55433  44.55902
   46       45.62787  45.48526  45.51149  45.51240  45.50297  45.50590  45.50460  45.50471  45.50284  45.50380  45.51286
   47       46.63934  46.45224  46.46696  46.46640  46.45505  46.45622  46.45557  46.45500  46.45396  46.45494  46.46722
   48       47.65143  47.41979  47.42266  47.42101  47.40782  47.40724  47.40696  47.40580  47.40581  47.40671  47.42190
   49       48.66415  48.38792  48.37786  48.37582  48.36149  48.35917  48.35892  48.35735  48.35855  48.35925  48.37639
   50       49.67747  49.35668  49.33258  49.33096  49.31638  49.31239  49.31186  49.31017  49.31247  49.31288  49.33087
   51       50.69140  50.32615  50.28686  50.28653  50.27278  50.26727  50.26622  50.26476  50.26784  50.26789  50.28550
   52       51.70591  51.29644  51.24079  51.24261  51.23091  51.22416  51.22251  51.22164  51.22491  51.22459  51.24051
   53       52.72101  52.26770  52.19447  52.19928  52.19098  52.18333  52.18125  52.18128  52.18399  52.18329  52.19615
   54       53.73668  53.24017  53.14808  53.15656  53.15314  53.14505  53.14298  53.14408  53.14542  53.14440  53.15277
   55       54.75291  54.21416  54.10189  54.11452  54.11749  54.10954  54.10819  54.11038  54.10962  54.10839  54.11075
   56       55.76970  55.19013  55.05633  55.07318  55.08410  55.07703  55.07736  55.08039  55.07712  55.07585  55.07064
   57       56.78704  56.16870  56.01202  56.03264  56.05304  56.04771  56.05087  56.05423  56.04851  56.04746  56.03313
   58       57.80492  57.15075  56.96995  56.99303  57.02435  57.02184  57.02895  57.03188  57.02449  57.02399  56.99912
   59       58.82333  58.13751  57.93156  57.95467  57.99813  57.99976  58.01175  58.01321  58.00577  58.00618  57.96986
   60       59.84226  59.13073  58.89910  58.91815  58.97461  58.98196  58.99926  58.99805  58.99307  58.99469  58.94703
   61       60.86171  60.13289  59.87596  59.88465  59.95430  59.96932  59.99140  59.98628  59.98700  59.98991  59.93293
   62       61.88166  61.14753  60.86738  60.85657  60.93835  60.96342  60.98815  60.97803  60.98809  60.99192  60.93074
   63       62.90211  62.17976  61.88151  61.83869  61.92935  61.96734  61.98986  61.97423  61.99686  62.00049  61.94480
   64       63.92306  63.23700  62.93109  62.84097  62.93336  62.98752  62.99826  62.97806  63.01443  63.01565  62.98092
   65       64.94449  64.33016  64.03638  63.88473  63.96505  64.03810  64.01954  63.99914  64.04463  64.03955  64.04659
   66       65.96640  65.47532  65.22986  65.01750  65.06231  65.15204  65.07600  65.06760  65.10285  65.08477  65.15055
   67       66.98879  66.77337  66.59629  66.35024  66.32990  66.41090  66.25774  66.28587  66.26016  66.22059  66.30099

Raw Score Moments for Presmoothing:
Test Form       Mean        SE        sk        ku
Form Y:     39.6953    8.9579   -0.1659    2.6312 
Form X:     39.9904    9.2558   -0.1340    2.5911 
Form X Equated to Form Y Scale
Unsmth:     39.6941    8.9569   -0.1657    2.6316 
C=1   :     39.6960*  19.0363   -0.3847    2.0050 
C=2   :     39.6921    8.9569   -0.0287    2.9264 
C=3   :     39.6927    8.9578*  -0.1665    3.0332 
C=4   :     39.6939    8.9568   -0.1658*   2.6316*
C=5   :     39.6860    8.9725   -0.1765    2.6713 
C=6   :     39.6883    8.9688   -0.1748    2.6672 
C=7   :     39.6848    8.9757   -0.1805    2.6904 
C=8   :     39.6839    8.9770   -0.1810    2.6907 
C=9   :     39.6899    8.9652   -0.1719    2.6554 
C=10  :     39.6897    8.9657   -0.1724    2.6571 
Beta4 :     39.6941    8.9568   -0.1657    2.6317 

Unrounded Raw-to-Scale Score Conversion for Presmoothing.
   X Score      C=1       C=2       C=3       C=4       C=5       C=6       C=7       C=8       C=9       C=10     Beta4
       0        1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00
       1        1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00      1.00
       2        1.00      1.73      1.00      1.38      1.05      1.00      1.00      1.00      1.00      1.00      1.00
       3        1.89      2.00      1.88      2.00      2.00      1.85      1.97      1.96      1.94      1.96      1.78
       4        2.00      2.82      2.00      2.34      2.06      2.00      2.05      2.00      2.00      2.00      2.00
       5        2.84      3.00      2.91      3.00      3.00      2.94      3.00      3.00      2.96      2.95      2.79
       6        3.00      3.81      3.00      3.31      3.06      3.00      3.20      3.08      3.00      3.00      3.00
       7        3.79      4.00      3.95      4.00      4.00      4.00      4.00      4.00      4.00      4.00      3.82
       8        4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00      4.00
       9        4.00      4.75      4.01      4.26      4.06      4.09      4.23      4.12      4.06      4.07      4.00
      10        4.73      5.00      5.00      5.00      5.00      5.00      5.00      5.00      5.00      5.00      4.89
      11        5.00      5.69      5.05      5.24      5.07      5.12      5.19      5.11      5.08      5.10      5.00
      12        5.69      6.00      6.00      6.00      6.00      6.00      6.00      6.00      6.00      6.00      5.94
      13        6.00      6.63      6.09      6.22      6.07      6.13      6.15      6.10      6.09      6.11      6.00
      14        6.66      7.00      7.00      7.00      7.00      7.00      7.00      7.00      7.00      7.00      6.99
      15        7.00      7.57      7.12      7.20      7.07      7.13      7.12      7.10      7.10      7.11      7.01
      16        7.63      8.54      8.13      8.19      8.08      8.13      8.11      8.10      8.10      8.11      8.03
      17        8.62      9.51      9.14      9.19      9.08      9.12      9.10      9.09      9.10      9.11      9.05
      18        9.61     10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00     10.00
      19       10.00     10.44     10.15     10.17     10.08     10.11     10.09     10.09     10.10     10.10     10.08
      20       10.59     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00
      21       11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00     11.00
      22       11.00     11.32     11.15     11.15     11.09     11.10     11.08     11.09     11.09     11.09     11.11
      23       11.56     12.28     12.14     12.14     12.09     12.09     12.08     12.08     12.09     12.08     12.11
      24       12.56     13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00     13.00
      25       13.00     13.21     13.12     13.12     13.08     13.08     13.07     13.08     13.08     13.08     13.11
      26       13.55     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00
      27       14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00     14.00
      28       14.00     14.10     14.08     14.09     14.06     14.05     14.06     14.06     14.06     14.06     14.08
      29       14.54     15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00     15.00
      30       15.00     15.04     15.04     15.06     15.04     15.03     15.04     15.04     15.04     15.04     15.05
      31       15.54     16.00     16.00     16.00     16.00     16.00     16.00     16.00     16.00     16.00     16.00
      32       16.00     16.00     16.00     16.02     16.01     16.00     16.01     16.01     16.01     16.01     16.01
      33       16.54     16.93     16.98     16.99     16.99     16.99     16.99     16.99     16.99     16.99     16.99
      34       17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00
      35       17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00     17.00
      36       17.55     17.83     17.89     17.91     17.92     17.92     17.92     17.92     17.92     17.92     17.90
      37       18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00     18.00
      38       18.56     18.76     18.83     18.84     18.85     18.86     18.85     18.85     18.86     18.86     18.84
      39       19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00
      40       19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00     19.00
      41       19.58     19.66     19.72     19.73     19.74     19.74     19.74     19.74     19.74     19.74     19.73
      42       20.59     20.63     20.68     20.69     20.69     20.70     20.70     20.70     20.70     20.70     20.69
      43       21.60     21.59     21.64     21.65     21.65     21.65     21.65     21.65     21.65     21.65     21.65
      44       22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00
      45       22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00     22.00
      46       22.63     22.49     22.51     22.51     22.50     22.51     22.50     22.50     22.50     22.50     22.51
      47       23.64     23.45     23.47     23.47     23.46     23.46     23.46     23.45     23.45     23.45     23.47
      48       24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00     24.00
      49       24.66     24.39     24.38     24.38     24.36     24.36     24.36     24.36     24.36     24.36     24.38
      50       25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00     25.00
      51       25.69     25.33     25.29     25.29     25.27     25.27     25.27     25.26     25.27     25.27     25.29
      52       26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00     26.00
      53       26.72     26.27     26.19     26.20     26.19     26.18     26.18     26.18     26.18     26.18     26.20
      54       27.74     27.24     27.15     27.16     27.15     27.15     27.14     27.14     27.15     27.14     27.15
      55       28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00
      56       28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00     28.00
      57       28.79     28.17     28.01     28.03     28.05     28.05     28.05     28.05     28.05     28.05     28.03
      58       29.00     29.00     28.97     28.99     29.00     29.00     29.00     29.00     29.00     29.00     29.00
      59       29.82     29.14     29.00     29.00     29.00     29.00     29.01     29.01     29.01     29.01     29.00
      60       30.84     30.13     29.90     29.92     29.97     29.98     30.00     30.00     29.99     29.99     29.95
      61       31.00     31.00     30.88     30.88     30.95     30.97     30.99     30.99     30.99     30.99     30.93
      62       31.88     31.15     31.00     31.00     31.00     31.00     31.00     31.00     31.00     31.00     31.00
      63       32.90     32.18     31.88     31.84     31.93     31.97     31.99     31.97     32.00     32.00     31.94
      64       33.92     33.24     32.93     32.84     32.93     32.99     33.00     32.98     33.01     33.02     32.98
      65       34.94     34.33     34.04     33.88     33.97     34.04     34.02     34.00     34.04     34.04     34.05
      66       35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00     35.00
      67       35.99     35.77     35.60     35.35     35.33     35.41     35.26     35.29     35.26     35.22     35.30

Rounded Raw-to-Scale Score Conversion for Presmoothing.
X Score      C=1       C=2       C=3       C=4       C=5       C=6       C=7       C=8       C=9       C=10     Beta4
0            1         1         1         1         1         1         1         1         1         1         1   
1            1         1         1         1         1         1         1         1         1         1         1   
2            1***      2***      1         1         1         1         1         1         1         1         1   
3            2         2         2         2         2         2         2         2         2         2         2   
4            2***      3***      2         2         2         2         2         2         2         2         2   
5            3         3         3         3         3         3         3         3         3         3         3   
6            3***      4***      3         3         3         3         3         3         3         3         3   
7            4         4         4         4         4         4         4         4         4         4         4   
8            4         4         4         4         4         4         4         4         4         4         4   
9            4***      5***      4         4         4         4         4         4         4         4         4   
10           5         5         5         5         5         5         5         5         5         5         5   
11           5***      6***      5         5         5         5         5         5         5         5         5   
12           6         6         6         6         6         6         6         6         6         6         6   
13           6***      7***      6         6         6         6         6         6         6         6         6   
14           7         7         7         7         7         7         7         7         7         7         7   
15           7***      8***      7         7         7         7         7         7         7         7         7   
16           8***      9***      8         8         8         8         8         8         8         8         8   
17           9***     10***      9         9         9         9         9         9         9         9         9   
18          10        10        10        10        10        10        10        10        10        10        10   
19          10        10        10        10        10        10        10        10        10        10        10   
20          11        11        11        11        11        11        11        11        11        11        11   
21          11        11        11        11        11        11        11        11        11        11        11   
22          11        11        11        11        11        11        11        11        11        11        11   
23          12        12        12        12        12        12        12        12        12        12        12   
24          13        13        13        13        13        13        13        13        13        13        13   
25          13        13        13        13        13        13        13        13        13        13        13   
26          14        14        14        14        14        14        14        14        14        14        14   
27          14        14        14        14        14        14        14        14        14        14        14   
28          14        14        14        14        14        14        14        14        14        14        14   
29          15        15        15        15        15        15        15        15        15        15        15   
30          15        15        15        15        15        15        15        15        15        15        15   
31          16        16        16        16        16        16        16        16        16        16        16   
32          16        16        16        16        16        16        16        16        16        16        16   
33          17        17        17        17        17        17        17        17        17        17        17   
34          17        17        17        17        17        17        17        17        17        17        17   
35          17        17        17        17        17        17        17        17        17        17        17   
36          18        18        18        18        18        18        18        18        18        18        18   
37          18        18        18        18        18        18        18        18        18        18        18   
38          19        19        19        19        19        19        19        19        19        19        19   
39          19        19        19        19        19        19        19        19        19        19        19   
40          19        19        19        19        19        19        19        19        19        19        19   
41          20        20        20        20        20        20        20        20        20        20        20   
42          21        21        21        21        21        21        21        21        21        21        21   
43          22        22        22        22        22        22        22        22        22        22        22   
44          22        22        22        22        22        22        22        22        22        22        22   
45          22        22        22        22        22        22        22        22        22        22        22   
46          23***     22***     23        23        23        23        23        23        23        23        23   
47          24***     23        23        23        23        23        23        23        23        23        23   
48          24        24        24        24        24        24        24        24        24        24        24   
49          25***     24        24        24        24        24        24        24        24        24        24   
50          25        25        25        25        25        25        25        25        25        25        25   
51          26***     25        25        25        25        25        25        25        25        25        25   
52          26        26        26        26        26        26        26        26        26        26        26   
53          27***     26        26        26        26        26        26        26        26        26        26   
54          28***     27        27        27        27        27        27        27        27        27        27   
55          28        28        28        28        28        28        28        28        28        28        28   
56          28        28        28        28        28        28        28        28        28        28        28   
57          29***     28        28        28        28        28        28        28        28        28        28   
58          29        29        29        29        29        29        29        29        29        29        29   
59          30***     29        29        29        29        29        29        29        29        29        29   
60          31***     30        30        30        30        30        30        30        30        30        30   
61          31        31        31        31        31        31        31        31        31        31        31   
62          32***     31        31        31        31        31        31        31        31        31        31   
63          33***     32        32        32        32        32        32        32        32        32        32   
64          34***     33        33        33        33        33        33        33        33        33        33   
65          35***     34        34        34        34        34        34        34        34        34        34   
66          35        35        35        35        35        35        35        35        35        35        35   
67          36        36        36***     35        35        35        35        35        35        35        35   

Scale Score Moments for Presmoothing:
Test Form         Mean        SE        sk        ku
Form Y:
   unrounded   19.9096    4.4848    0.0419    2.6256
     rounded   19.9096    4.4848    0.0419    2.6256
Form x Equated to Form Y Scale for
Unsmoothed
   unrounded  19.9092    4.4801    0.0402    2.6281 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=1   
   unrounded  19.8748    4.6589    0.0828    2.6149 
     rounded  20.0711    4.6492    0.0693    2.5954 
C=2   
   unrounded  19.9092    4.4760    0.0809    2.5989 
     rounded  19.8969*   4.4331    0.0340*   2.6393*
C=3   
   unrounded  19.9080    4.4761    0.0427*   2.6159 
     rounded  19.9275    4.4678*  -0.0031    2.6491 
C=4   
   unrounded  19.9126    4.4743    0.0435    2.6123 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=5   
   unrounded  19.9090    4.4803*   0.0390    2.6281 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=6   
   unrounded  19.9094*   4.4797    0.0401    2.6250*
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=7   
   unrounded  19.9092    4.4801    0.0402    2.6277 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=8   
   unrounded  19.9091    4.4803    0.0397    2.6285 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=9   
   unrounded  19.9091    4.4803    0.0400    2.6286 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=10  
   unrounded  19.9092    4.4801    0.0402    2.6280 
     rounded  19.9275    4.4677   -0.0032    2.6488 
Beta4 
   unrounded  19.9093    4.4807    0.0393    2.6288 
     rounded  19.9275    4.4677   -0.0032    2.6488 

Smoothed distribution Data for Form X:
Score            Raw    C=1       C=2       C=3       C=4       C=5       C=6       C=7       C=8       C=9       C=10      Beta4 
0          0.0000000 0.0078034 0.0000043 0.0000133 0.0000000 0.0000024 0.0000066 0.0001011 0.0001054 0.0000429 0.0000369 0.0000000
1          0.0000000 0.0079390 0.0000068 0.0000190 0.0000000 0.0000037 0.0000080 0.0000460 0.0000415 0.0000135 0.0000166 0.0000000
2          0.0000000 0.0080770 0.0000105 0.0000271 0.0000001 0.0000056 0.0000101 0.0000280 0.0000233 0.0000072 0.0000106 0.0000000
3          0.0000001 0.0082173 0.0000162 0.0000382 0.0000004 0.0000086 0.0000133 0.0000216 0.0000174 0.0000058 0.0000089 0.0000001
4          0.0000004 0.0083601 0.0000247 0.0000536 0.0000011 0.0000133 0.0000182 0.0000202 0.0000163 0.0000062 0.0000093 0.0000003
5          0.0000014 0.0085054 0.0000371 0.0000748 0.0000026 0.0000206 0.0000255 0.0000220 0.0000181 0.0000081 0.0000115 0.0000010
6          0.0000041 0.0086532 0.0000552 0.0001036 0.0000059 0.0000318 0.0000365 0.0000270 0.0000228 0.0000121 0.0000160 0.0000032
7          0.0000105 0.0088036 0.0000812 0.0001424 0.0000127 0.0000491 0.0000530 0.0000362 0.0000316 0.0000198 0.0000241 0.0000085
8          0.0000238 0.0089566 0.0001179 0.0001944 0.0000259 0.0000752 0.0000777 0.0000516 0.0000467 0.0000338 0.0000385 0.0000201
9          0.0000493 0.0091122 0.0001694 0.0002636 0.0000501 0.0001143 0.0001144 0.0000768 0.0000720 0.0000585 0.0000632 0.0000435
10         0.0000943 0.0092706 0.0002406 0.0003547 0.0000924 0.0001720 0.0001684 0.0001173 0.0001132 0.0001009 0.0001048 0.0000863
11         0.0001689 0.0094317 0.0003378 0.0004737 0.0001624 0.0002559 0.0002472 0.0001814 0.0001791 0.0001710 0.0001726 0.0001592
12         0.0002858 0.0095956 0.0004688 0.0006278 0.0002734 0.0003760 0.0003604 0.0002805 0.0002821 0.0002821 0.0002799 0.0002758
13         0.0004600 0.0097623 0.0006432 0.0008256 0.0004417 0.0005446 0.0005208 0.0004304 0.0004384 0.0004507 0.0004433 0.0004521
14         0.0007090 0.0099320 0.0008725 0.0010773 0.0006866 0.0007770 0.0007439 0.0006508 0.0006679 0.0006959 0.0006829 0.0007062
15         0.0010516 0.0101046 0.0011699 0.0013943 0.0010297 0.0010913 0.0010487 0.0009653 0.0009937 0.0010381 0.0010206 0.0010571
16         0.0015077 0.0102802 0.0015507 0.0017899 0.0014932 0.0015079 0.0014568 0.0013995 0.0014404 0.0014978 0.0014785 0.0015242
17         0.0020967 0.0104588 0.0020321 0.0022786 0.0020989 0.0020487 0.0019917 0.0019797 0.0020317 0.0020940 0.0020771 0.0021257
18         0.0028370 0.0106406 0.0026325 0.0028764 0.0028660 0.0027363 0.0026776 0.0027295 0.0027884 0.0028434 0.0028336 0.0028780
19         0.0037443 0.0108255 0.0033714 0.0035999 0.0038097 0.0035921 0.0035377 0.0036674 0.0037259 0.0037594 0.0037608 0.0037948
20         0.0048311 0.0110136 0.0042684 0.0044662 0.0049396 0.0046351 0.0045919 0.0048044 0.0048528 0.0048519 0.0048665 0.0048861
21         0.0061049 0.0112050 0.0053423 0.0054919 0.0062590 0.0058794 0.0058550 0.0061427 0.0061704 0.0061266 0.0061537 0.0061575
22         0.0075680 0.0113997 0.0066100 0.0066926 0.0077644 0.0073328 0.0073339 0.0076753 0.0076730 0.0075851 0.0076207 0.0076102
23         0.0092165 0.0115978 0.0080851 0.0080814 0.0094454 0.0089951 0.0090269 0.0093871 0.0093485 0.0092242 0.0092620 0.0092401
24         0.0110404 0.0117993 0.0097764 0.0096682 0.0112856 0.0108574 0.0109219 0.0112565 0.0111803 0.0110358 0.0110680 0.0110382
25         0.0130232 0.0120044 0.0116866 0.0114581 0.0132633 0.0129013 0.0129971 0.0132577 0.0131482 0.0130060 0.0130254 0.0129901
26         0.0151422 0.0122130 0.0138104 0.0134500 0.0153528 0.0150997 0.0152213 0.0153628 0.0152302 0.0151153 0.0151164 0.0150765
27         0.0173698 0.0124252 0.0161338 0.0156357 0.0175258 0.0174176 0.0175558 0.0175433 0.0174023 0.0173382 0.0173189 0.0172737
28         0.0196736 0.0126411 0.0186329 0.0179987 0.0197519 0.0198138 0.0199563 0.0197716 0.0196399 0.0196438 0.0196059 0.0195532
29         0.0220178 0.0128608 0.0212733 0.0205130 0.0220004 0.0222431 0.0223758 0.0220211 0.0219168 0.0219961 0.0219453 0.0218832
30         0.0243645 0.0130843 0.0240104 0.0231433 0.0242404 0.0246583 0.0247673 0.0242661 0.0242055 0.0243556 0.0243006 0.0242287
31         0.0266744 0.0133117 0.0267903 0.0258445 0.0264418 0.0270127 0.0270853 0.0264816 0.0264761 0.0266805 0.0266313 0.0265524
32         0.0289087 0.0135430 0.0295506 0.0285626 0.0285752 0.0292619 0.0292886 0.0286415 0.0286965 0.0289285 0.0288946 0.0288152
33         0.0310293 0.0137784 0.0322231 0.0312361 0.0306121 0.0313653 0.0313410 0.0307189 0.0308320 0.0310585 0.0310470 0.0309776
34         0.0330001 0.0140178 0.0347360 0.0337973 0.0325250 0.0332875 0.0332119 0.0326844 0.0328456 0.0330323 0.0330463 0.0329999
35         0.0347875 0.0142614 0.0370173 0.0361757 0.0342867 0.0349983 0.0348764 0.0345059 0.0346982 0.0348152 0.0348530 0.0348437
36         0.0363608 0.0145092 0.0389978 0.0383002 0.0358706 0.0364733 0.0363150 0.0361490 0.0363504 0.0363772 0.0364325 0.0364723
37         0.0376923 0.0147614 0.0406151 0.0401027 0.0372501 0.0376936 0.0375124 0.0375775 0.0377633 0.0376927 0.0377558 0.0378518
38         0.0387576 0.0150179 0.0418164 0.0415218 0.0383988 0.0386446 0.0384567 0.0387541 0.0389007 0.0387405 0.0388000 0.0389520
39         0.0395357 0.0152788 0.0425615 0.0425058 0.0392906 0.0393157 0.0391383 0.0396430 0.0397303 0.0395031 0.0395481 0.0397471
40         0.0400087 0.0155444 0.0428252 0.0430160 0.0399000 0.0396992 0.0395490 0.0402110 0.0402264 0.0399661 0.0399881 0.0402162
41         0.0401624 0.0158145 0.0425984 0.0430292 0.0402028 0.0397898 0.0396810 0.0404308 0.0403706 0.0401174 0.0401123 0.0403442
42         0.0399862 0.0160893 0.0418889 0.0425389 0.0401768 0.0395836 0.0395268 0.0402825 0.0401532 0.0399472 0.0399160 0.0401226
43         0.0394737 0.0163689 0.0407208 0.0415567 0.0398038 0.0390783 0.0390790 0.0397559 0.0395738 0.0394482 0.0393971 0.0395490
44         0.0386234 0.0166534 0.0391331 0.0401114 0.0390704 0.0382726 0.0383308 0.0388522 0.0386411 0.0386164 0.0385552 0.0386284
45         0.0374398 0.0169427 0.0371779 0.0382478 0.0379704 0.0371674 0.0372771 0.0375840 0.0373720 0.0374521 0.0373929 0.0373728
46         0.0359335 0.0172372 0.0349170 0.0360244 0.0365062 0.0357661 0.0359159 0.0359753 0.0357909 0.0359618 0.0359162 0.0358013
47         0.0341229 0.0175367 0.0324191 0.0335104 0.0346911 0.0340762 0.0342505 0.0340605 0.0339282 0.0341602 0.0341368 0.0339401
48         0.0320345 0.0178415 0.0297561 0.0307819 0.0325505 0.0321109 0.0322910 0.0318825 0.0318188 0.0320713 0.0320740 0.0318217
49         0.0297034 0.0181515 0.0270000 0.0279180 0.0301230 0.0298907 0.0300576 0.0294899 0.0295010 0.0297303 0.0297571 0.0294852
50         0.0271731 0.0184669 0.0242193 0.0249970 0.0274601 0.0274453 0.0275816 0.0269354 0.0270156 0.0271830 0.0272265 0.0269746
51         0.0244951 0.0187879 0.0214769 0.0220925 0.0246258 0.0248152 0.0249075 0.0242726 0.0244056 0.0244849 0.0245342 0.0243389
52         0.0217273 0.0191143 0.0188275 0.0192706 0.0216937 0.0220519 0.0220929 0.0215548 0.0217160 0.0216995 0.0217428 0.0216301
53         0.0189323 0.0194465 0.0163165 0.0165875 0.0187438 0.0192180 0.0192076 0.0188335 0.0189944 0.0188940 0.0189216 0.0189027
54         0.0161749 0.0197844 0.0139789 0.0140877 0.0158576 0.0163848 0.0163299 0.0161578 0.0162914 0.0161362 0.0161431 0.0162119
55         0.0135184 0.0201282 0.0118394 0.0118037 0.0131131 0.0136290 0.0135425 0.0135747 0.0136606 0.0134898 0.0134767 0.0136117
56         0.0110225 0.0204780 0.0099128 0.0097555 0.0105791 0.0110274 0.0109256 0.0111294 0.0111577 0.0110112 0.0109844 0.0111539
57         0.0087392 0.0208339 0.0082050 0.0079520 0.0083101 0.0086503 0.0085501 0.0088652 0.0088388 0.0087468 0.0087157 0.0088855
58         0.0067098 0.0211959 0.0067138 0.0063920 0.0063425 0.0065549 0.0064705 0.0068226 0.0067561 0.0067317 0.0067061 0.0068468
59         0.0049628 0.0215643 0.0054309 0.0050662 0.0046932 0.0047794 0.0047199 0.0050379 0.0049534 0.0049899 0.0049765 0.0050698
60         0.0035123 0.0219390 0.0043430 0.0039586 0.0033590 0.0033388 0.0033072 0.0035390 0.0034597 0.0035338 0.0035342 0.0035758
61         0.0023568 0.0223203 0.0034333 0.0030490 0.0023199 0.0022244 0.0022180 0.0023404 0.0022841 0.0023653 0.0023759 0.0023735
62         0.0014804 0.0227081 0.0026832 0.0023145 0.0015421 0.0014063 0.0014183 0.0014389 0.0014128 0.0014747 0.0014886 0.0014577
63         0.0008544 0.0231028 0.0020730 0.0017315 0.0009840 0.0008392 0.0008614 0.0008101 0.0008107 0.0008401 0.0008506 0.0008079
64         0.0004398 0.0235042 0.0015833 0.0012763 0.0006011 0.0004700 0.0004949 0.0004103 0.0004268 0.0004264 0.0004302 0.0003890
65         0.0001920 0.0239127 0.0011955 0.0009268 0.0003506 0.0002456 0.0002678 0.0001830 0.0002037 0.0001866 0.0001849 0.0001528
66         0.0000644 0.0243282 0.0008923 0.0006630 0.0001946 0.0001189 0.0001359 0.0000701 0.0000870 0.0000675 0.0000640 0.0000435
67         0.0000126 0.0247510 0.0006584 0.0004671 0.0001025 0.0000530 0.0000644 0.0000224 0.0000328 0.0000191 0.0000166 0.0000067

Smoothed distribution Data for Form Y:
Score            Raw    C=1       C=2       C=3       C=4       C=5       C=6       C=7       C=8       C=9       C=10      Beta4 
0          0.0000000 0.0080615 0.0000027 0.0000145 0.0000000 0.0000024 0.0000075 0.0001047 0.0001071 0.0000429 0.0000364 0.0000000
1          0.0000000 0.0081949 0.0000043 0.0000204 0.0000000 0.0000036 0.0000086 0.0000452 0.0000413 0.0000136 0.0000170 0.0000000
2          0.0000000 0.0083305 0.0000069 0.0000285 0.0000001 0.0000054 0.0000105 0.0000266 0.0000228 0.0000073 0.0000109 0.0000000
3          0.0000001 0.0084684 0.0000109 0.0000396 0.0000003 0.0000084 0.0000135 0.0000201 0.0000168 0.0000058 0.0000091 0.0000001
4          0.0000004 0.0086085 0.0000171 0.0000548 0.0000008 0.0000129 0.0000180 0.0000186 0.0000156 0.0000062 0.0000094 0.0000004
5          0.0000013 0.0087509 0.0000263 0.0000755 0.0000020 0.0000200 0.0000248 0.0000201 0.0000172 0.0000080 0.0000114 0.0000013
6          0.0000038 0.0088957 0.0000402 0.0001034 0.0000048 0.0000310 0.0000350 0.0000246 0.0000217 0.0000119 0.0000156 0.0000038
7          0.0000096 0.0090429 0.0000605 0.0001408 0.0000106 0.0000478 0.0000505 0.0000331 0.0000300 0.0000192 0.0000232 0.0000098
8          0.0000220 0.0091926 0.0000899 0.0001907 0.0000220 0.0000732 0.0000737 0.0000475 0.0000444 0.0000325 0.0000367 0.0000224
9          0.0000457 0.0093447 0.0001321 0.0002568 0.0000434 0.0001113 0.0001082 0.0000712 0.0000684 0.0000560 0.0000598 0.0000469
10         0.0000881 0.0094993 0.0001917 0.0003436 0.0000813 0.0001675 0.0001594 0.0001096 0.0001078 0.0000963 0.0000988 0.0000905
11         0.0001587 0.0096565 0.0002749 0.0004569 0.0001451 0.0002491 0.0002342 0.0001707 0.0001711 0.0001630 0.0001628 0.0001633
12         0.0002702 0.0098163 0.0003892 0.0006037 0.0002474 0.0003659 0.0003424 0.0002660 0.0002702 0.0002690 0.0002646 0.0002777
13         0.0004375 0.0099787 0.0005443 0.0007923 0.0004043 0.0005300 0.0004964 0.0004109 0.0004211 0.0004304 0.0004207 0.0004488
14         0.0006781 0.0101438 0.0007519 0.0010326 0.0006350 0.0007564 0.0007117 0.0006251 0.0006435 0.0006663 0.0006513 0.0006935
15         0.0010110 0.0103117 0.0010260 0.0013362 0.0009610 0.0010626 0.0010072 0.0009321 0.0009602 0.0009971 0.0009786 0.0010302
16         0.0014562 0.0104823 0.0013828 0.0017164 0.0014052 0.0014689 0.0014047 0.0013575 0.0013957 0.0014439 0.0014251 0.0014779
17         0.0020336 0.0106558 0.0018409 0.0021882 0.0019900 0.0019970 0.0019280 0.0019274 0.0019740 0.0020265 0.0020121 0.0020553
18         0.0027619 0.0108321 0.0024208 0.0027681 0.0027359 0.0026696 0.0026018 0.0026656 0.0027162 0.0027625 0.0027573 0.0027800
19         0.0036576 0.0110113 0.0031444 0.0034739 0.0036596 0.0035087 0.0034500 0.0035908 0.0036383 0.0036664 0.0036740 0.0036676
20         0.0047336 0.0111935 0.0040342 0.0043241 0.0047727 0.0045342 0.0044935 0.0047145 0.0047503 0.0047488 0.0047706 0.0047307
21         0.0059985 0.0113787 0.0051125 0.0053374 0.0060805 0.0057615 0.0057481 0.0060397 0.0060549 0.0060167 0.0060503 0.0059783
22         0.0074558 0.0115670 0.0063996 0.0065316 0.0075820 0.0072007 0.0072223 0.0075609 0.0075479 0.0074724 0.0075125 0.0074150
23         0.0091031 0.0117584 0.0079126 0.0079229 0.0092691 0.0088543 0.0089160 0.0092651 0.0092197 0.0091138 0.0091526 0.0090406
24         0.0109324 0.0119530 0.0096636 0.0095242 0.0111278 0.0107163 0.0108192 0.0111335 0.0110560 0.0109339 0.0109630 0.0108494
25         0.0129293 0.0121508 0.0116575 0.0113439 0.0131388 0.0127720 0.0129120 0.0131434 0.0130393 0.0129208 0.0129325 0.0128304
26         0.0150740 0.0123518 0.0138906 0.0133842 0.0152781 0.0149976 0.0151657 0.0152705 0.0151501 0.0150570 0.0150466 0.0149667
27         0.0173416 0.0125562 0.0163489 0.0156396 0.0175189 0.0173614 0.0175437 0.0174899 0.0173674 0.0173195 0.0172866 0.0172360
28         0.0197026 0.0127640 0.0190065 0.0180957 0.0198318 0.0198247 0.0200041 0.0197771 0.0196686 0.0196802 0.0196290 0.0196107
29         0.0221237 0.0129752 0.0218255 0.0207276 0.0221862 0.0223441 0.0225017 0.0221082 0.0220296 0.0221060 0.0220447 0.0220582
30         0.0245689 0.0131899 0.0247557 0.0234992 0.0245507 0.0248729 0.0249905 0.0244592 0.0244238 0.0245599 0.0244995 0.0245416
31         0.0270001 0.0134082 0.0277355 0.0263632 0.0268936 0.0273633 0.0274258 0.0268051 0.0268215 0.0270016 0.0269538 0.0270205
32         0.0293779 0.0136300 0.0306935 0.0292611 0.0291829 0.0297685 0.0297653 0.0291189 0.0291896 0.0293892 0.0293640 0.0294514
33         0.0316621 0.0138556 0.0335509 0.0321250 0.0313866 0.0320439 0.0319710 0.0313700 0.0314904 0.0316801 0.0316837 0.0317892
34         0.0338126 0.0140848 0.0362253 0.0348788 0.0334723 0.0341484 0.0340087 0.0335240 0.0336825 0.0338322 0.0338656 0.0339879
35         0.0357895 0.0143179 0.0386338 0.0374417 0.0354070 0.0360451 0.0358486 0.0355418 0.0357206 0.0358051 0.0358634 0.0360016
36         0.0375538 0.0145548 0.0406980 0.0397313 0.0371571 0.0377015 0.0374647 0.0373796 0.0375573 0.0375604 0.0376336 0.0377862
37         0.0390679 0.0147957 0.0423474 0.0416681 0.0386882 0.0390897 0.0388337 0.0389905 0.0391439 0.0390622 0.0391370 0.0392998
38         0.0402959 0.0150405 0.0435240 0.0431793 0.0399651 0.0401858 0.0399345 0.0403255 0.0404336 0.0402773 0.0403396 0.0405045
39         0.0412044 0.0152894 0.0441856 0.0442036 0.0409526 0.0409696 0.0407472 0.0413362 0.0413830 0.0411754 0.0412132 0.0413672
40         0.0417634 0.0155424 0.0443079 0.0446951 0.0416160 0.0414242 0.0412529 0.0419781 0.0419552 0.0417293 0.0417348 0.0418610
41         0.0419476 0.0157995 0.0438865 0.0446261 0.0419224 0.0415356 0.0414329 0.0422132 0.0421220 0.0419149 0.0418868 0.0419658
42         0.0417369 0.0160610 0.0429367 0.0439900 0.0418424 0.0412925 0.0412694 0.0420143 0.0418658 0.0417126 0.0416562 0.0416693
43         0.0411189 0.0163267 0.0414931 0.0428021 0.0413521 0.0406870 0.0407463 0.0413669 0.0411809 0.0411081 0.0410347 0.0409681
44         0.0400897 0.0165969 0.0396070 0.0410988 0.0404355 0.0397147 0.0398506 0.0402720 0.0400742 0.0400947 0.0400191 0.0398676
45         0.0386556 0.0168715 0.0373437 0.0389365 0.0390873 0.0383763 0.0385744 0.0387466 0.0385648 0.0386748 0.0386124 0.0383827
46         0.0368343 0.0171507 0.0347785 0.0363877 0.0373153 0.0366789 0.0369176 0.0368235 0.0366832 0.0368627 0.0368260 0.0365380
47         0.0346561 0.0174345 0.0319929 0.0335377 0.0351428 0.0346378 0.0348907 0.0345498 0.0344699 0.0346858 0.0346816 0.0343675
48         0.0321638 0.0177230 0.0290700 0.0304790 0.0326103 0.0322787 0.0325176 0.0319840 0.0319737 0.0321865 0.0322140 0.0319140
49         0.0294125 0.0180163 0.0260907 0.0273065 0.0297753 0.0296394 0.0298380 0.0291929 0.0292498 0.0294212 0.0294725 0.0292286
50         0.0264681 0.0183144 0.0231299 0.0241122 0.0267120 0.0267709 0.0269089 0.0262477 0.0263585 0.0264596 0.0265213 0.0263695
51         0.0234053 0.0186174 0.0202541 0.0209808 0.0235083 0.0237382 0.0238039 0.0232212 0.0233638 0.0233811 0.0234379 0.0234005
52         0.0203043 0.0189255 0.0175186 0.0179859 0.0202610 0.0206188 0.0206110 0.0201842 0.0203320 0.0202706 0.0203092 0.0203894
53         0.0172472 0.0192387 0.0149670 0.0151871 0.0170703 0.0174998 0.0174279 0.0172043 0.0173311 0.0172127 0.0172257 0.0174061
54         0.0143130 0.0195570 0.0126305 0.0126286 0.0140319 0.0144730 0.0143552 0.0143439 0.0144296 0.0142870 0.0142744 0.0145195
55         0.0115738 0.0198806 0.0105282 0.0103393 0.0112304 0.0116283 0.0114882 0.0116599 0.0116939 0.0115629 0.0115318 0.0117957
56         0.0090899 0.0202096 0.0086684 0.0083326 0.0087325 0.0090458 0.0089074 0.0092026 0.0091864 0.0090959 0.0090579 0.0092944
57         0.0069069 0.0205440 0.0070497 0.0066091 0.0065818 0.0067884 0.0066717 0.0070151 0.0069611 0.0069259 0.0068931 0.0070660
58         0.0050524 0.0208839 0.0056630 0.0051579 0.0047971 0.0048948 0.0048125 0.0051310 0.0050586 0.0050764 0.0050577 0.0051485
59         0.0035356 0.0212295 0.0044934 0.0039600 0.0033723 0.0033765 0.0033325 0.0035717 0.0035018 0.0035553 0.0035533 0.0035644
60         0.0023470 0.0215808 0.0035217 0.0029902 0.0022806 0.0022179 0.0022080 0.0023427 0.0022912 0.0023558 0.0023668 0.0023182
61         0.0014611 0.0219379 0.0027264 0.0022203 0.0014796 0.0013803 0.0013950 0.0014303 0.0014045 0.0014577 0.0014737 0.0013952
62         0.0008391 0.0223009 0.0020848 0.0016209 0.0009183 0.0008095 0.0008375 0.0008011 0.0007984 0.0008277 0.0008408 0.0007612
63         0.0004334 0.0226699 0.0015747 0.0011630 0.0005435 0.0004447 0.0004760 0.0004045 0.0004162 0.0004216 0.0004275 0.0003657
64         0.0001933 0.0230450 0.0011748 0.0008201 0.0003059 0.0002275 0.0002553 0.0001803 0.0001964 0.0001870 0.0001863 0.0001484
65         0.0000690 0.0234264 0.0008657 0.0005682 0.0001631 0.0001076 0.0001287 0.0000693 0.0000828 0.0000695 0.0000661 0.0000475
66         0.0000166 0.0238140 0.0006302 0.0003867 0.0000822 0.0000468 0.0000608 0.0000223 0.0000307 0.0000207 0.0000178 0.0000107
67         0.0000017 0.0242081 0.0004531 0.0002584 0.0000389 0.0000185 0.0000268 0.0000058 0.0000098 0.0000046 0.0000033 0.0000012

Raw-to-Raw Score Conversion for Presmoothing.
   X Score C=( 1, 1) C=( 2, 2) C=( 2, 3) C=( 6, 3) C=( 8, 3) C=(10, 3)
    0       -0.01601   0.30884  -0.35222  -0.27200   2.12168   0.69225
    1        0.95289   1.60399   0.02829   0.23009   3.91991   1.86073
    2        1.92308   2.72640   0.58791   0.75013   4.50832   2.33699
    3        2.89454   3.78931   1.24366   1.32342   4.77845   2.62800
    4        3.86726   4.81628   2.03403   1.92591   5.00178   2.85718
    5        4.84120   5.82136   2.94469   2.63807   5.22928   3.11890
    6        5.81635   6.81300   3.94059   3.42020   5.49999   3.46471
    7        6.79270   7.79631   4.99681   4.25845   5.76323   3.84010
    8        7.77022   8.77444   6.09541   5.19015   6.14225   4.41149
    9        8.74890   9.74933   7.22326   6.20257   6.65887   5.10968
   10        9.72871  10.72218   8.37065   7.28569   7.31628   6.02743
   11       10.70964  11.69373   9.52258   8.43131   8.13078   7.13785
   12       11.69168  12.66446  10.64760   9.59871   9.12405   8.41885
   13       12.67479  13.63465  11.77584  10.78646  10.26753   9.76003
   14       13.65898  14.60448  12.90474  12.00737  11.52703  11.17595
   15       14.64422  15.57404  14.03222  13.25598  12.80724  12.62622
   16       15.63049  16.54338  15.15657  14.52013  14.14714  14.03972
   17       16.61777  17.51254  16.27638  15.74178  15.52071  15.47485
   18       17.60606  18.47599  17.39048  16.97220  16.83327  16.82237
   19       18.59534  19.43623  18.49792  18.20543  18.14962  18.15550
   20       19.58559  20.39717  19.57869  19.43539  19.45554  19.46723
   21       20.57679  21.35878  20.65392  20.62645  20.69356  20.70088
   22       21.56893  22.32101  21.72357  21.79579  21.90074  21.90143
   23       22.56200  23.28382  22.78729  22.95195  23.08017  23.07198
   24       23.55599  24.24715  23.84480  24.09136  24.22847  24.21122
   25       24.55087  25.21096  24.89591  25.21118  25.34434  25.31950
   26       25.54663  26.17520  25.94050  26.30938  26.42822  26.39832
   27       26.54326  27.13983  26.97851  27.38475  27.48183  27.44994
   28       27.54075  28.10479  28.00992  28.43688  28.50681  28.47700
   29       28.53909  29.07005  29.03478  29.46605  29.50817  29.48223
   30       29.53825  30.03555  30.05317  30.47314  30.48953  30.46832
   31       30.53823  31.00125  31.06519  31.45948  31.45189  31.43773
   32       31.53901  31.96712  32.07098  32.42679  32.39941  32.39269
   33       32.54059  32.93310  33.07068  33.37696  33.33490  33.33520
   34       33.54295  33.89916  34.06446  34.31207  34.26077  34.26701
   35       34.54607  34.86525  35.05248  35.23419  35.17913  35.18970
   36       35.54995  35.83133  36.03488  36.14542  36.09174  36.10467
   37       36.55458  36.79738  37.01182  37.04780  37.00005  37.01328
   38       37.55993  37.76334  37.98343  37.94332  37.90529  37.91680
   39       38.56601  38.72918  38.94983  38.83392  38.80849  38.81653
   40       39.57280  39.69487  39.91109  39.72151  39.71056  39.71381
   41       40.58029  40.66037  40.86728  40.60802  40.61236  40.61006
   42       41.58847  41.62565  41.81844  41.49548  41.51478  41.50681
   43       42.59733  42.59070  42.76454  42.38886  42.42097  42.40830
   44       43.60685  43.55547  43.70554  43.29005  43.33246  43.31636
   45       44.61704  44.51997  44.64137  44.20118  44.25028  44.23272
   46       45.62787  45.48526  45.57187  45.12449  45.17592  45.15927
   47       46.63934  46.45224  46.49713  46.06234  46.11123  46.09800
   48       47.65143  47.41979  47.42383  47.01718  47.05838  47.05095
   49       48.66415  48.38792  48.34726  47.99154  48.02000  48.02021
   50       49.67747  49.35668  49.26737  48.98788  48.99909  49.00787
   51       50.69140  50.32615  50.18413  50.00847  49.99902  50.01601
   52       51.70591  51.29644  51.09749  51.05519  51.02339  51.04662
   53       52.72101  52.26770  52.00746  52.12926  52.07575  52.10157
   54       53.73668  53.24017  52.91410  53.23093  53.15928  53.18258
   55       54.75291  54.21416  53.81761  54.35914  54.27612  54.29099
   56       55.76970  55.19013  54.71844  55.51392  55.42675  55.42764
   57       56.78704  56.16870  55.61739  56.73018  56.63743  56.61639
   58       57.80492  57.15075  56.51588  57.96967  57.90649  57.86277
   59       58.82333  58.13751  57.43467  59.22219  59.20544  59.14508
   60       59.84226  59.13073  58.36376  60.47433  60.52247  60.45307
   61       60.86171  60.13289  59.30440  61.78720  61.93276  61.86671
   62       61.88166  61.14753  60.26372  63.06990  63.29878  63.27881
   63       62.90211  62.17976  61.25284  64.28000  64.60138  64.66237
   64       63.92306  63.23700  62.28931  65.37604  65.77976  65.92547
   65       64.94449  64.33016  63.40100  66.30409  66.64233  66.83060
   66       65.96640  65.47532  64.69124  66.98792  67.20484  67.31217
   67       66.98879  66.77337  66.31692  67.37543  67.43659  67.46796

Raw Score Moments for Presmoothing:
Test Form       Mean        SE        sk        ku
Form Y:     39.6953    8.9579   -0.1659    2.6312 
Form X:     39.9904    9.2558   -0.1340    2.5911 
Form X Equated to Form Y Scale
Unsmth:     39.6941    8.9569   -0.1657    2.6316 
C=( 1, 1)   39.6960    19.0363    -0.3847     2.0050 
C=( 2, 2)   39.6921     8.9569*   -0.0287     2.9264*
C=( 2, 3)   39.6930     8.9559    -0.1666*    3.0305 
C=( 6, 3)   39.6957*    8.9539    -0.1670     3.0307 
C=( 8, 3)   39.6960     8.9533    -0.1667     3.0296 
C=(10, 3)   39.6958     8.9536    -0.1667     3.0299 

Unrounded Raw-to-Scale Score Conversion for Presmoothing.
   X Score C=( 1, 1) C=( 2, 2) C=( 2, 3) C=( 6, 3) C=( 8, 3) C=(10, 3)
       0        1.00      1.00      1.00      1.00      1.12      1.00
       1        1.00      1.00      1.00      1.00      2.00      1.00
       2        1.00      1.73      1.00      1.00      2.51      1.34
       3        1.89      2.00      1.00      1.00      2.78      1.63
       4        2.00      2.82      1.03      1.00      3.00      1.86
       5        2.84      3.00      1.94      1.64      3.00      2.00
       6        3.00      3.81      2.00      2.00      3.00      2.00
       7        3.79      4.00      3.00      2.26      3.00      2.00
       8        4.00      4.00      3.10      3.00      3.14      2.41
       9        4.00      4.75      4.00      3.20      3.66      3.00
      10        4.73      5.00      4.00      4.00      4.00      3.03
      11        5.00      5.69      4.52      4.00      4.00      4.00
      12        5.69      6.00      5.00      4.60      4.12      4.00
      13        6.00      6.63      5.78      5.00      5.00      4.76
      14        6.66      7.00      6.00      6.00      5.53      5.18
      15        7.00      7.57      7.00      6.26      6.00      6.00
      16        7.63      8.54      7.16      7.00      7.00      7.00
      17        8.62      9.51      8.28      7.74      7.52      7.47
      18        9.61     10.00      9.39      8.97      8.83      8.82
      19       10.00     10.44     10.00     10.00     10.00     10.00
      20       10.59     11.00     10.58     10.44     10.46     10.47
      21       11.00     11.00     11.00     11.00     11.00     11.00
      22       11.00     11.32     11.00     11.00     11.00     11.00
      23       11.56     12.28     11.79     11.95     12.08     12.07
      24       12.56     13.00     12.84     13.00     13.00     13.00
      25       13.00     13.21     13.00     13.21     13.34     13.32
      26       13.55     14.00     13.94     14.00     14.00     14.00
      27       14.00     14.00     14.00     14.00     14.00     14.00
      28       14.00     14.10     14.01     14.44     14.51     14.48
      29       14.54     15.00     15.00     15.00     15.00     15.00
      30       15.00     15.04     15.05     15.47     15.49     15.47
      31       15.54     16.00     16.00     16.00     16.00     16.00
      32       16.00     16.00     16.07     16.43     16.40     16.39
      33       16.54     16.93     17.00     17.00     17.00     17.00
      34       17.00     17.00     17.00     17.00     17.00     17.00
      35       17.00     17.00     17.05     17.23     17.18     17.19
      36       17.55     17.83     18.00     18.00     18.00     18.00
      37       18.00     18.00     18.01     18.05     18.00     18.01
      38       18.56     18.76     18.98     18.94     18.91     18.92
      39       19.00     19.00     19.00     19.00     19.00     19.00
      40       19.00     19.00     19.00     19.00     19.00     19.00
      41       19.58     19.66     19.87     19.61     19.61     19.61
      42       20.59     20.63     20.82     20.50     20.51     20.51
      43       21.60     21.59     21.76     21.39     21.42     21.41
      44       22.00     22.00     22.00     22.00     22.00     22.00
      45       22.00     22.00     22.00     22.00     22.00     22.00
      46       22.63     22.49     22.57     22.12     22.18     22.16
      47       23.64     23.45     23.50     23.06     23.11     23.10
      48       24.00     24.00     24.00     24.00     24.00     24.00
      49       24.66     24.39     24.35     24.00     24.02     24.02
      50       25.00     25.00     25.00     24.99     25.00     25.00
      51       25.69     25.33     25.18     25.01     25.00     25.02
      52       26.00     26.00     26.00     26.00     26.00     26.00
      53       26.72     26.27     26.01     26.13     26.08     26.10
      54       27.74     27.24     26.91     27.23     27.16     27.18
      55       28.00     28.00     27.82     28.00     28.00     28.00
      56       28.00     28.00     28.00     28.00     28.00     28.00
      57       28.79     28.17     28.00     28.73     28.64     28.62
      58       29.00     29.00     28.52     29.00     29.00     29.00
      59       29.82     29.14     29.00     30.22     30.21     30.15
      60       30.84     30.13     29.36     31.00     31.00     31.00
      61       31.00     31.00     30.30     31.79     31.93     31.87
      62       31.88     31.15     31.00     33.07     33.30     33.28
      63       32.90     32.18     31.25     34.28     34.60     34.66
      64       33.92     33.24     32.29     35.00     35.00     35.00
      65       34.94     34.33     33.40     35.30     35.64     35.83
      66       35.00     35.00     34.69     35.99     36.20     36.31
      67       35.99     35.77     35.32     36.38     36.44     36.47

Rounded Raw-to-Scale Score Conversion for Presmoothing.
X Score C=( 1, 1) C=( 2, 2) C=( 2, 3) C=( 6, 3) C=( 8, 3) C=(10, 3)
0            1         1         1         1         1         1   
1            1         1         1         1***      2***      1   
2            1***      2***      1         1***      3***      1   
3            2         2***      1         1***      3***      2   
4            2***      3***      1         1***      3***      2   
5            3         3***      2         2***      3***      2   
6            3***      4***      2         2***      3***      2   
7            4         4***      3***      2***      3***      2   
8            4         4***      3         3         3***      2   
9            4***      5***      4***      3***      4***      3   
10           5         5***      4         4         4***      3   
11           5***      6***      5***      4         4         4   
12           6         6***      5         5***      4         4   
13           6***      7***      6***      5         5         5   
14           7         7***      6         6         6***      5   
15           7***      8***      7***      6         6         6   
16           8***      9***      7         7         7         7   
17           9***     10***      8         8         8***      7   
18          10        10***      9         9         9         9   
19          10        10        10        10        10        10   
20          11        11        11***     10        10        10   
21          11        11        11        11        11        11   
22          11        11        11        11        11        11   
23          12        12        12        12        12        12   
24          13        13        13        13        13        13   
25          13        13        13        13        13        13   
26          14        14        14        14        14        14   
27          14        14        14        14        14        14   
28          14        14        14        14***     15***     14   
29          15        15        15        15        15        15   
30          15        15        15        15        15        15   
31          16        16        16        16        16        16   
32          16        16        16        16        16        16   
33          17        17        17        17        17        17   
34          17        17        17        17        17        17   
35          17        17        17        17        17        17   
36          18        18        18        18        18        18   
37          18        18        18        18        18        18   
38          19        19        19        19        19        19   
39          19        19        19        19        19        19   
40          19        19        19        19        19        19   
41          20        20        20        20        20        20   
42          21        21        21***     20***     21        21   
43          22        22        22***     21        21        21   
44          22        22        22        22        22        22   
45          22        22        22        22        22        22   
46          23***     22***     23***     22        22        22   
47          24***     23        23        23        23        23   
48          24        24        24        24        24        24   
49          25***     24        24        24        24        24   
50          25        25        25        25        25        25   
51          26***     25        25        25        25        25   
52          26        26        26        26        26        26   
53          27***     26        26        26        26        26   
54          28***     27        27        27        27        27   
55          28        28        28        28        28        28   
56          28        28        28        28        28        28   
57          29***     28        28***     29        29        29   
58          29        29        29        29        29        29   
59          30***     29        29***     30        30        30   
60          31***     30***     29***     31        31        31   
61          31        31***     30***     32        32        32   
62          32***     31        31***     33        33        33   
63          33***     32***     31***     34***     35        35   
64          34***     33***     32***     35        35        35   
65          35***     34***     33***     35***     36        36   
66          35        35        35***     36        36        36   
67          36        36***     35***     36        36        36   

Scale Score Moments for Presmoothing:
Test Form         Mean        SE        sk        ku
Form Y:
   unrounded   19.9096    4.4848    0.0419    2.6256
     rounded   19.9096    4.4848    0.0419    2.6256
Form x Equated to Form Y Scale for
Unsmoothed
   unrounded  19.9092    4.4801    0.0402    2.6281 
     rounded  19.9275    4.4677   -0.0032    2.6488 
C=( 1, 1) 
   unrounded  19.8748    4.6589    0.0828    2.6149*
     rounded  20.0711    4.6492    0.0693    2.5954 
C=( 2, 2) 
   unrounded  19.9092*   4.4760    0.0809    2.5989 
     rounded  19.8969    4.4331    0.0340    2.6393*
C=( 2, 3) 
   unrounded  19.9029    4.4775*  -0.0491    2.6706 
     rounded  19.9126*   4.4703*  -0.0550    2.6800 
C=( 6, 3) 
   unrounded  19.8983    4.4929    0.0791    3.0522 
     rounded  19.8234    4.5203    0.0855    3.0169 
C=( 8, 3) 
   unrounded  19.8999    4.4946    0.0771    3.0803 
     rounded  19.8839    4.5069    0.0710    3.0597 
C=(10, 3) 
   unrounded  19.8977    4.4978    0.0719*   3.0940 
     rounded  19.8612    4.5389    0.0495*   3.0697 