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 >