General Linear Models Procedure Class Level Information Class Levels Values SEX 2 F M Number of observations in data set = 27 General Linear Models Procedure Repeated Measures Analysis of Variance Repeated Measures Level Information Dependent Variable Y1 Y2 Y3 Y4 Level of AGE 8 10 12 14 General Linear Models Procedure Repeated Measures Analysis of Variance Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r| DF = 25 Y1 Y2 Y3 Y4 Y1 1.000000 0.570699 0.661320 0.521583 0.0001 0.0023 0.0002 0.0063 Y2 0.570699 1.000000 0.563167 0.726216 0.0023 0.0001 0.0027 0.0001 Y3 0.661320 0.563167 1.000000 0.728098 0.0002 0.0027 0.0001 0.0001 Y4 0.521583 0.726216 0.728098 1.000000 0.0063 0.0001 0.0001 0.0001 E = Error SS&CP Matrix AGE.N represents the nth degree polynomial contrast for AGE AGE.1 AGE.2 AGE.3 AGE.1 59.16732955 -11.22417190 4.52784091 AGE.2 -11.22417190 26.04119318 -1.28192761 AGE.3 4.52784091 -1.28192761 62.91931818 General Linear Models Procedure Repeated Measures Analysis of Variance Partial Correlation Coefficients from the Error SS&CP Matrix of the Variables Defined by the Specified Transformation / Prob > |r| DF = 25 AGE.1 AGE.2 AGE.3 AGE.1 1.000000 -0.285945 0.074209 0.0001 0.1567 0.7186 AGE.2 -0.285945 1.000000 -0.031669 0.1567 0.0001 0.8779 AGE.3 0.074209 -0.031669 1.000000 0.7186 0.8779 0.0001 Test for Sphericity: Mauchly's Criterion = 0.7353334 Chisquare Approximation = 7.2929515 with 5 df Prob > Chisquare = 0.1997 Manova Test Criteria and Exact F Statistics for the Hypothesis of no AGE Effect H = Type I SS&CP Matrix for AGE E = Error SS&CP Matrix S=1 M=0.5 N=10.5 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.17443269 36.2853 3 23 0.0001 Pillai's Trace 0.82556731 36.2853 3 23 0.0001 Hotelling-Lawley Trace 4.73287035 36.2853 3 23 0.0001 Roy's Greatest Root 4.73287035 36.2853 3 23 0.0001 Manova Test Criteria and Exact F Statistics for the Hypothesis of no AGE*SEX Effect H = Type I SS&CP Matrix for AGE*SEX E = Error SS&CP Matrix S=1 M=0.5 N=10.5 Statistic Value F Num DF Den DF Pr > F Wilks' Lambda 0.73988739 2.6953 3 23 0.0696 Pillai's Trace 0.26011261 2.6953 3 23 0.0696 Hotelling-Lawley Trace 0.35155702 2.6953 3 23 0.0696 Roy's Greatest Root 0.35155702 2.6953 3 23 0.0696 General Linear Models Procedure Repeated Measures Analysis of Variance Tests of Hypotheses for Between Subjects Effects Source DF Type I SS Mean Square F Value Pr > F SEX 1 140.4648569 140.4648569 9.29 0.0054 Error 25 377.9147727 15.1165909 General Linear Models Procedure Repeated Measures Analysis of Variance Univariate Tests of Hypotheses for Within Subject Effects Source: AGE Adj Pr > F DF Type I SS Mean Square F Value Pr > F G - G H - F 3 237.19212963 79.06404321 40.03 0.0001 0.0001 0.0001 Source: AGE*SEX Adj Pr > F DF Type I SS Mean Square F Value Pr > F G - G H - F 3 13.99252946 4.66417649 2.36 0.0781 0.0878 0.0781 Source: Error(AGE) DF Type I SS Mean Square 75 148.12784091 1.97503788 Greenhouse-Geisser Epsilon = 0.8672 Huynh-Feldt Epsilon = 1.0156 General Linear Models Procedure Repeated Measures Analysis of Variance Analysis of Variance of Contrast Variables AGE.N represents the nth degree polynomial contrast for AGE Contrast Variable: AGE.1 Source DF Type I SS Mean Square F Value Pr > F MEAN 1 235.35601852 235.35601852 99.45 0.0001 SEX 1 12.11415194 12.11415194 5.12 0.0326 Error 25 59.16732955 2.36669318 Contrast Variable: AGE.2 Source DF Type I SS Mean Square F Value Pr > F MEAN 1 1.44675926 1.44675926 1.39 0.2497 SEX 1 1.19954756 1.19954756 1.15 0.2935 Error 25 26.04119318 1.04164773 Contrast Variable: AGE.3 Source DF Type I SS Mean Square F Value Pr > F MEAN 1 0.38935185 0.38935185 0.15 0.6974 SEX 1 0.67882997 0.67882997 0.27 0.6081 Error 25 62.91931818 2.51677273 The MIXED Procedure Class Level Information Class Levels Values PERSON 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 SEX 2 F M AGE 4 8 10 12 14 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 286.70313978 1 1 239.62082619 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Ratio Estimate Std Error Z Pr > |Z| DIAG CS 1.66345582 3.28538826 1.07194118 3.06 0.0022 Residual 1.00000000 1.97503788 0.32252234 6.12 0.0000 The MIXED Procedure Model Fitting Information for Y Description Value Observations 108.0000 Variance Estimate 1.9750 Standard Deviation Estimate 1.4054 REML Log Likelihood -211.704 Akaike's Information Criterion -213.704 Schwarz's Bayesian Criterion -216.309 -2 REML Log Likelihood 423.4085 Null Model LRT Chi-Square 47.0823 Null Model LRT DF 1.0000 Null Model LRT P-Value 0.0000 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F SEX 1 100 9.29 0.0029 AGE 3 100 35.35 0.0000 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F SEX*AGE 3 100 2.36 0.0759 The MIXED Procedure Class Level Information Class Levels Values PERSON 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 SEX 2 F M AGE 4 8 10 12 14 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 286.70313978 1 1 230.24709436 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Estimate Std Error Z Pr > |Z| DIAG UN(1,1) 5.41545455 1.53172185 3.54 0.0004 UN(2,1) 2.71681818 1.09623989 2.48 0.0132 UN(2,2) 4.18477273 1.18363247 3.54 0.0004 UN(3,1) 3.91022727 1.41775367 2.76 0.0058 UN(3,2) 2.92715909 1.19304751 2.45 0.0141 UN(3,3) 6.45573864 1.82595863 3.54 0.0004 UN(4,1) 2.71022727 1.17209851 2.31 0.0208 UN(4,2) 3.31715909 1.12903016 2.94 0.0033 UN(4,3) 4.13073864 1.40356157 2.94 0.0033 UN(4,4) 4.98573864 1.41017984 3.54 0.0004 Residual 1.00000000 . . . The MIXED Procedure Model Fitting Information for Y Description Value Observations 108.0000 Variance Estimate 1.0000 Standard Deviation Estimate 1.0000 REML Log Likelihood -207.017 Akaike's Information Criterion -217.017 Schwarz's Bayesian Criterion -230.043 -2 REML Log Likelihood 414.0348 Null Model LRT Chi-Square 56.4560 Null Model LRT DF 9.0000 Null Model LRT P-Value 0.0000 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F SEX 1 100 9.29 0.0029 AGE 3 100 34.45 0.0000 SEX*AGE 3 100 2.93 0.0373 The MIXED Procedure Class Level Information Class Levels Values PERSON 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 SEX 2 F M AGE 4 8 10 12 14 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 286.70313978 1 1 239.62082619 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Ratio Estimate Std Error Z Pr > |Z| PERSON 1.66345582 3.28538826 1.07194118 3.06 0.0022 Residual 1.00000000 1.97503788 0.32252234 6.12 0.0000 The MIXED Procedure Model Fitting Information for Y Description Value Observations 108.0000 Variance Estimate 1.9750 Standard Deviation Estimate 1.4054 REML Log Likelihood -211.704 Akaike's Information Criterion -213.704 Schwarz's Bayesian Criterion -216.309 -2 REML Log Likelihood 423.4085 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F SEX 1 75 9.29 0.0032 AGE 3 75 35.35 0.0000 SEX*AGE 3 75 2.36 0.0781 The MIXED Procedure Class Level Information Class Levels Values PERSON 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 SEX 2 F M The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 313.27829871 1 1 256.82225329 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Estimate Std Error Z Pr > |Z| DIAG UN(1,1) 5.41545455 1.53172185 3.54 0.0004 UN(2,1) 2.71681818 1.09623989 2.48 0.0132 UN(2,2) 4.18477273 1.18363247 3.54 0.0004 UN(3,1) 3.91022727 1.41775367 2.76 0.0058 UN(3,2) 2.92715909 1.19304751 2.45 0.0141 UN(3,3) 6.45573864 1.82595863 3.54 0.0004 UN(4,1) 2.71022727 1.17209851 2.31 0.0208 UN(4,2) 3.31715909 1.12903016 2.94 0.0033 UN(4,3) 4.13073864 1.40356157 2.94 0.0033 UN(4,4) 4.98573864 1.41017984 3.54 0.0004 Residual 1.00000000 . . . The MIXED Procedure Model Fitting Information for Y Description Value Observations 108.0000 Variance Estimate 1.0000 Standard Deviation Estimate 1.0000 REML Log Likelihood -220.305 Akaike's Information Criterion -230.305 Schwarz's Bayesian Criterion -243.331 -2 REML Log Likelihood 440.6100 Null Model LRT Chi-Square 56.4560 Null Model LRT DF 9.0000 Null Model LRT P-Value 0.0000 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type I F Pr > F SEX 1 100 9.29 0.0029 AGE 1 100 99.45 0.0000 AGE*SEX 1 100 5.12 0.0258 AGE*AGE 1 100 1.39 0.2414 AGE*AGE*SEX 1 100 1.15 0.2858 AGE*AGE*AGE 1 100 0.15 0.6949 AGE*AGE*AGE*SEX 1 100 0.27 0.6047