
Note C1 is theta (true rate) value, c2-c4 are X(1) X(3) X(5) and
c5 is W from exhibit 1
MTB > print c1-c5


 ROW        C1        C2        C3        C4        C5

   1   5.86570   37.5163   51.3524   59.4477   15.9725
   2   2.96511   45.1275   52.8179   61.6466   15.3772
   3   5.97049   35.1462   56.8257   66.1506   11.4790
   4   4.04471   44.1259   49.1900   64.5707   16.8894
   5   4.99920   52.7425   66.5582   70.4882   19.1783
   6   7.94426   30.4294   49.9536   64.2909   11.8182
   7   7.36189   45.8559   61.8050   68.0401   15.3287
   8   4.05363   41.0852   48.4779   56.0376   13.2081
   9   3.92327   45.5963   53.6096   56.3916   13.0904
  10   4.21732   41.6409   52.9212   53.4265   10.3156
  11   1.09569   40.5533   41.0630   42.6694   10.2613
  12   4.54114   43.5961   50.7012   61.3018   15.5985
  13   4.39203   40.3309   42.9266   56.8234   13.9009
  14   3.54375   36.4681   39.0482   55.9819   13.5257
  15   4.45895   50.9351   64.5776   73.2688   14.4470
  16   1.72397   56.3893   64.3517   66.4653   20.1588
  17   5.60468   54.8209   55.9406   78.9812   16.1145
  18   6.96160   46.2341   55.5708   69.2087   15.0577
  19   8.82699   40.3382   55.8152   79.8393   18.3338
  20   5.36734   39.7826   48.4636   61.5885   13.7722
  21   6.77648   45.5685   57.2980   76.4712   15.8823
  22   7.06840   50.7944   66.0294   82.1406   18.2535
  23   3.98403   36.5567   45.8360   41.5185   10.1454
  24   6.35265   39.4845   50.6843   57.4999    9.4617
  25   6.32075   38.3353   47.6726   64.6937   15.8149
  26   6.14549   32.5743   48.0593   54.2916   11.6046
  27   8.43007   44.1819   61.1865   83.9185   14.0775
  28   5.87471   32.7935   44.4017   57.7645   12.1867
  29   6.41645   38.6120   49.7566   63.5210   14.0722
  30   1.45204   54.8978   58.3608   59.3590   16.6798
  31   5.06413   37.4215   45.6672   54.2164   15.0716
  32   3.14788   43.1943   51.1080   54.7078   13.9429
  33   5.22770   57.0713   64.6214   75.8601   20.3992
  34   5.98446   52.4042   57.1514   76.9727   15.9967
  35   1.37833   53.3487   61.3538   60.0911   17.4674
  36   3.99478   47.2145   58.3382   63.7706   17.2962
  37   8.99120   37.5320   62.9725   80.0523   15.8574
  38   5.00195   47.8897   58.3557   68.9706   18.9465
  39   4.36716   58.7889   61.7767   81.9523   18.8964
  40   1.24141   39.9800   45.8644   42.6662   13.7900

NOTE create difference score
MTB > let c10 = c4 -c2
MTB > corr c10 c5 c1

            C10       C5
C5        0.158
C1        0.908   -0.001

MTB > let c30 = Round(c10*100)/100
MTB > let c31 = Round(c2*100)/100
MTB > let c32 = Round(c4*100)/100
MTB > let c33 = Round(c5*100)/100
MTB > note c30-c33 is D X1 X2 W
MTB > print c30-c33


 ROW     C30     C31     C32     C33

   1   21.93   37.52   59.45   15.97
   2   16.52   45.13   61.65   15.38
   3   31.00   35.15   66.15   11.48
   4   20.44   44.13   64.57   16.89
   5   17.75   52.74   70.49   19.18
   6   33.86   30.43   64.29   11.82
   7   22.18   45.86   68.04   15.33
   8   14.95   41.09   56.04   13.21
   9   10.80   45.60   56.39   13.09
  10   11.79   41.64   53.43   10.32
  11    2.12   40.55   42.67   10.26
  12   17.71   43.60   61.30   15.60
  13   16.49   40.33   56.82   13.90
  14   19.51   36.47   55.98   13.53
  15   22.33   50.94   73.27   14.45
  16   10.08   56.39   66.47   20.16
  17   24.16   54.82   78.98   16.11
  18   22.97   46.23   69.21   15.06
  19   39.50   40.34   79.84   18.33
  20   21.81   39.78   61.59   13.77
  21   30.90   45.57   76.47   15.88
  22   31.35   50.79   82.14   18.25
  23    4.96   36.56   41.52   10.15
  24   18.02   39.48   57.50    9.46
  25   26.36   38.34   64.69   15.81
  26   21.72   32.57   54.29   11.60
  27   39.74   44.18   83.92   14.08
  28   24.97   32.79   57.76   12.19
  29   24.91   38.61   63.52   14.07
  30    4.46   54.90   59.36   16.68
  31   16.79   37.42   54.22   15.07
  32   11.51   43.19   54.71   13.94
  33   18.79   57.07   75.86   20.40
  34   24.57   52.40   76.97   16.00
  35    6.74   53.35   60.09   17.47
  36   16.56   47.21   63.77   17.30
  37   42.52   37.53   80.05   15.86
  38   21.08   47.89   68.97   18.95
  39   23.16   58.79   81.95   18.90
  40    2.69   39.98   42.67   13.79

MTB > describe c1-c5

                N     MEAN   MEDIAN   TRMEAN    STDEV   SEMEAN
C1             40    5.027    5.033    5.026    2.032    0.321
C2             40    43.93    43.40    43.85     7.29     1.15
C3             40    53.96    53.27    54.05     7.30     1.15
C4             40    64.18    63.65    64.36    10.92     1.73
C5             40   14.992   15.200   14.986    2.803    0.443

              MIN      MAX       Q1       Q3
C1          1.096    8.991    3.987    6.345
C2          30.43    58.79    38.40    50.07
C3          39.05    66.56    48.47    60.48
C4          41.52    83.92    56.50    72.57
C5          9.462   20.399   13.288   16.837

MTB > describe c10

                N     MEAN   MEDIAN   TRMEAN    STDEV   SEMEAN
C10            40    20.24    20.76    20.07     9.71     1.54

              MIN      MAX       Q1       Q3
C10          2.12    42.52    15.34    24.82


MTB > stem c10

Stem-and-leaf of C10       N  = 40
Leaf Unit = 1.0


    3    0 234
    5    0 57
    9    1 0122
   18    1 567778889
  (11)   2 00122222334
   11    2 5556
    7    3 1114
    3    3 
    3    4 003

MTB > GStd.
MTB > Plot C10 C5;
SUBC>   Symbol '*';
SUBC>   Title 'Change vs W'.

                                  Change vs W
         -
       45+
         -                                  *
 C10     -                         *                     *
         -
         -              *
       30+            *                     *           *
         -                                  *
         -                *        *    *    **            *
         -             *         **  *    *  *   *          *
         -  *                           * **       *         *     *
       15+                     *   *
         -       *            *    *
         -                                                        *
         -      *                                   *
         -      *                 *             *
        0+
           ----+---------+---------+---------+---------+---------+--C5      
            10.0      12.0      14.0      16.0      18.0      20.0

MTB > GPro.
MTB > corr c5 c10

Correlation of C5 and C10 = 0.158

MTB > regress c10 1 c5

The regression equation is
C10 = 12.0 + 0.549 C5

Predictor       Coef       Stdev    t-ratio        p
Constant      12.015       8.460       1.42    0.164
C5            0.5488      0.5549       0.99    0.329

s = 9.713       R-sq = 2.5%      R-sq(adj) = 0.0%

Analysis of Variance

SOURCE       DF          SS          MS         F        p
Regression    1       92.26       92.26      0.98    0.329
Error        38     3584.72       94.33
Total        39     3676.98

Unusual Observations
Obs.       C5        C10        Fit  Stdev.Fit   Residual    St.Resid
 27      14.1      39.74      19.74       1.62      20.00       2.09R 
 37      15.9      42.52      20.72       1.61      21.80       2.28R 

R denotes an obs. with a large st. resid.

MTB > note--now go to traditional analyses
MTB > GStd.
MTB > Plot C4 C2;
SUBC>   Symbol '*';
SUBC>   Title 'time-2 vs time-1'.

                               time-2 vs time-1
 C4      -                             *
         -                  *   *                 *            *
         -                                          *   *
       75+                               *                  *
         -                                        *
         -                               **  *       *
         -              *    *         *                   *
         -      *            * *        *   *
       60+                  *         *               * *
         -          *     *    ***       *
         -         *       *      *  *
         -
         -
       45+
         -                *     **
         -
         -
           ----+---------+---------+---------+---------+---------+--C2      
            30.0      36.0      42.0      48.0      54.0      60.0

MTB > GPro.

MTB > GStd.
MTB > Plot C4 C5;
SUBC>   Symbol '*';
SUBC>   Title 'time-2 vs W'.

                                  time-2 vs W
 C4      -                         *
         -                                  *           ** *
         -                                   **
       75+                                  *                      *
         -                           *
         -                              * *                 **
         -            *                     *    *                *
         -              *         **      *        *
       60+                                 * *  *   *
         -  *             *   ** * *
         -       *     *           *    *
         -
         -
       45+
         -      2                 *
         -
         -
           ----+---------+---------+---------+---------+---------+--C5      
            10.0      12.0      14.0      16.0      18.0      20.0

MTB > GPro.
MTB > GStd.
MTB > Plot C2 C5;
SUBC>   Symbol '*';
SUBC>   Title 'time-1 vs W'.

                                  time-1 vs W
       60+
         -                                                 *       *
 C2      -                                                        *
         -                                    * *   *
         -                                   *               *
       50+                           *                  *
         -                                         *        *
         -                    *         * 2 *
         -                         2       *     *
         -       *             *
       40+  *   *                 2*                     *
         -                         *    *   2*
         -      *     *          *
         -
         -             *  *
       30+              *
         -
           ----+---------+---------+---------+---------+---------+--C5      
            10.0      12.0      14.0      16.0      18.0      20.0

MTB > GPro.
MTB > corr c1-c5

             C1       C2       C3       C4
C2       -0.301
C3        0.217    0.716
C4        0.606    0.491    0.741
C5       -0.001    0.716    0.652    0.619

MTB > regress c4 2 c2 c5

The regression equation is
C4 = 25.7 + 0.145 C2 + 2.14 C5

Predictor       Coef       Stdev    t-ratio        p
Constant      25.690       8.821       2.91    0.006
C2            0.1447      0.2759       0.52    0.603
C5            2.1431      0.7181       2.98    0.005

s = 8.770       R-sq = 38.8%     R-sq(adj) = 35.5%

Analysis of Variance

SOURCE       DF          SS          MS         F        p
Regression    2     1804.70      902.35     11.73    0.000
Error        37     2845.74       76.91
Total        39     4650.44

SOURCE       DF      SEQ SS
C2            1     1119.60
C5            1      685.10

Unusual Observations
Obs.       C2         C4        Fit  Stdev.Fit   Residual    St.Resid
 27      44.2      83.92      62.25       1.56      21.67       2.51R 
 40      40.0      42.67      61.03       1.58     -18.36      -2.13R 

R denotes an obs. with a large st. resid.

MTB > boxplot c10
MTB > GStd.
MTB > BoxPlot C10.
        

                              ------------
             *----------------I     +    I-----------      **  * 
                              ------------
          +---------+---------+---------+---------+---------+------C10     
        0.0       8.0      16.0      24.0      32.0      40.0

MTB > GPro.
MTB > note change and initial status
MTB > 
MTB > corr c10 c2

Correlation of C10 and C2 = -0.199

MTB > GStd.
MTB > Plot C10 C2;
SUBC>   Symbol '*';
SUBC>   Title 'change vs initial status'.

                           change vs initial status
         -
       45+
         -                  *
 C10     -                      *      *
         -
         -      *
       30+              *                *        *
         -                   *
         -          *        *            *         *   *      *
         -         *      * *  *       * *   *    *
         -                 *   *      * *   *        *      *
       15+                      **
         -                        *  *   *
         -                                                 *
         -                *                           *
         -                      **                      *
        0+
           ----+---------+---------+---------+---------+---------+--C2      
            30.0      36.0      42.0      48.0      54.0      60.0

MTB > GPro.
MTB > 
