The GLM Procedure Class Level Information Class Levels Values cond 3 1 2 3 Number of observations 42 The SAS System 13:28 Thursday, August 17, 2000 52 The GLM Procedure Dependent Variable: sr1 Sum of Source DF Squares Mean Square F Value Pr > F Model 2 82.0476190 41.0238095 5.44 0.0082 Error 39 293.8571429 7.5347985 Corrected Total 41 375.9047619 R-Square Coeff Var Root MSE sr1 Mean 0.218267 21.03801 2.744959 13.04762 Source DF Type I SS Mean Square F Value Pr > F cond 2 82.04761905 41.02380952 5.44 0.0082 Source DF Type III SS Mean Square F Value Pr > F cond 2 82.04761905 41.02380952 5.44 0.0082 The SAS System 13:28 Thursday, August 17, 2000 53 The GLM Procedure Dependent Variable: sr2 Sum of Source DF Squares Mean Square F Value Pr > F Model 2 139.0000000 69.5000000 6.99 0.0025 Error 39 387.5714286 9.9377289 Corrected Total 41 526.5714286 R-Square Coeff Var Root MSE sr2 Mean 0.263972 25.65920 3.152416 12.28571 Source DF Type I SS Mean Square F Value Pr > F cond 2 139.0000000 69.5000000 6.99 0.0025 Source DF Type III SS Mean Square F Value Pr > F cond 2 139.0000000 69.5000000 6.99 0.0025 The SAS System 13:28 Thursday, August 17, 2000 54 The GLM Procedure Dependent Variable: sr3 Sum of Source DF Squares Mean Square F Value Pr > F Model 2 98.6190476 49.3095238 2.98 0.0627 Error 39 646.3571429 16.5732601 Corrected Total 41 744.9761905 R-Square Coeff Var Root MSE sr3 Mean 0.132379 34.82345 4.071027 11.69048 Source DF Type I SS Mean Square F Value Pr > F cond 2 98.61904762 49.30952381 2.98 0.0627 Source DF Type III SS Mean Square F Value Pr > F cond 2 98.61904762 49.30952381 2.98 0.0627 The SAS System 13:28 Thursday, August 17, 2000 55 The GLM Procedure Dependent Variable: sr4 Sum of Source DF Squares Mean Square F Value Pr > F Model 2 185.2857143 92.6428571 6.91 0.0027 Error 39 523.0000000 13.4102564 Corrected Total 41 708.2857143 R-Square Coeff Var Root MSE sr4 Mean 0.261597 32.04251 3.662002 11.42857 Source DF Type I SS Mean Square F Value Pr > F cond 2 185.2857143 92.6428571 6.91 0.0027 Source DF Type III SS Mean Square F Value Pr > F cond 2 185.2857143 92.6428571 6.91 0.0027 The SAS System 13:28 Thursday, August 17, 2000 56 The GLM Procedure Dependent Variable: sr5 Sum of Source DF Squares Mean Square F Value Pr > F Model 2 95.5714286 47.7857143 3.56 0.0379 Error 39 523.0000000 13.4102564 Corrected Total 41 618.5714286 R-Square Coeff Var Root MSE sr5 Mean 0.154503 32.44812 3.662002 11.28571 Source DF Type I SS Mean Square F Value Pr > F cond 2 95.57142857 47.78571429 3.56 0.0379 Source DF Type III SS Mean Square F Value Pr > F cond 2 95.57142857 47.78571429 3.56 0.0379 The SAS System 13:28 Thursday, August 17, 2000 57 The GLM Procedure Repeated Measures Analysis of Variance Repeated Measures Level Information Dependent Variable sr1 sr2 sr3 sr4 sr5 Level of time 1 2 3 4 5 Manova Test Criteria and Exact F Statistics for the Hypothesis of no time Effect H = Type III SSCP Matrix for time E = Error SSCP Matrix S=1 M=1 N=17 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.64788274 4.89 4 36 0.0030 Pillai's Trace 0.35211726 4.89 4 36 0.0030 Hotelling-Lawley Trace 0.54348918 4.89 4 36 0.0030 Roy's Greatest Root 0.54348918 4.89 4 36 0.0030 Manova Test Criteria and F Approximations for the Hypothesis of no time*cond Effect H = Type III SSCP Matrix for time*cond E = Error SSCP Matrix S=2 M=0.5 N=17 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.62780347 2.36 8 72 0.0259 Pillai's Trace 0.39613669 2.28 8 74 0.0303 Hotelling-Lawley Trace 0.55472196 2.46 8 49.161 0.0253 Roy's Greatest Root 0.47432775 4.39 4 37 0.0053 NOTE: F Statistic for Roy's Greatest Root is an upper bound. NOTE: F Statistic for Wilks' Lambda is exact. The SAS System 13:28 Thursday, August 17, 2000 58 The GLM Procedure Repeated Measures Analysis of Variance Tests of Hypotheses for Between Subjects Effects Source DF Type III SS Mean Square F Value Pr > F cond 2 573.895238 286.947619 5.70 0.0067 Error 39 1962.528571 50.321245 The SAS System 13:28 Thursday, August 17, 2000 59 The GLM Procedure Repeated Measures Analysis of Variance Univariate Tests of Hypotheses for Within Subject Effects Adj Pr > F Source DF Type III SS Mean Square F Value Pr > F G - G H - F time 4 88.1142857 22.0285714 8.36 <.0001 0.0001 <.0001 time*cond 8 26.6285714 3.3285714 1.26 0.2669 0.2851 0.2807 Error(time) 156 411.2571429 2.6362637 Greenhouse-Geisser Epsilon 0.6496 Huynh-Feldt Epsilon 0.7358 The SAS System 13:28 Thursday, August 17, 2000 60 The GLM Procedure Repeated Measures Analysis of Variance Analysis of Variance of Contrast Variables time_N represents the nth degree polynomial contrast for time Contrast Variable: time_1 Source DF Type III SS Mean Square F Value Pr > F Mean 1 80.6095238 80.6095238 19.78 <.0001 cond 2 5.6333333 2.8166667 0.69 0.5071 Error 39 158.9571429 4.0758242 Contrast Variable: time_2 Source DF Type III SS Mean Square F Value Pr > F Mean 1 7.4081633 7.4081633 1.86 0.1800 cond 2 6.7448980 3.3724490 0.85 0.4358 Error 39 154.9897959 3.9740973 Contrast Variable: time_3 Source DF Type III SS Mean Square F Value Pr > F Mean 1 0.00952381 0.00952381 0.01 0.9331 cond 2 2.74761905 1.37380952 1.03 0.3667 Error 39 52.04285714 1.33443223 The SAS System 13:28 Thursday, August 17, 2000 61 The GLM Procedure Repeated Measures Analysis of Variance Analysis of Variance of Contrast Variables time_N represents the nth degree polynomial contrast for time Contrast Variable: time_4 Source DF Type III SS Mean Square F Value Pr > F Mean 1 0.08707483 0.08707483 0.08 0.7856 cond 2 11.50272109 5.75136054 4.96 0.0121 Error 39 45.26734694 1.16070120