Problem 15.5 revisited RB CS Convergence criteria met but final hessian is not positive definite. Estimated R Matrix for variety*block 1 1 Row Col1 Col2 Col3 Col4 1 7294.19 -111.43 -111.43 -111.43 2 -111.43 7294.19 -111.43 -111.43 3 -111.43 -111.43 7294.19 -111.43 4 -111.43 -111.43 -111.43 7294.19 Cov Parm Subject Estimate block 407.29 variety*block 5.9384 CS variety*block -111.43 Residual 7405.62 Fit Statistics -2 Res Log Likelihood 394.4 AIC (smaller is better) 402.4 AICC (smaller is better) 403.8 BIC (smaller is better) 398.8 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F variety 3 6 6.11 0.0296 dist 3 24 5.36 0.0057 variety*dist 9 24 0.67 0.7253 RB HF Convergence criteria met but final hessian is not positive definite. Estimated R Matrix for variety*block 1 1 Row Col1 Col2 Col3 Col4 1 4860.99 -1903.50 -489.57 -654.56 2 -1903.50 5978.31 69.0875 -95.9006 3 -489.57 69.0875 8806.17 1318.03 4 -654.56 -95.9006 1318.03 8476.20 Covariance Parameter Estimates Cov Parm Subject Estimate block 5.52E-15 variety*block 110.32 Var(1) variety*block 4860.99 Var(2) variety*block 5978.31 Var(3) variety*block 8806.17 Var(4) variety*block 8476.20 HF variety*block 7323.16 Fit Statistics -2 Res Log Likelihood 390.8 AIC (smaller is better) 402.8 AICC (smaller is better) 406.1 BIC (smaller is better) 397.4 Effect DF DF F Value Pr > F variety 3 10.6 6.47 0.0094 dist 3 24.5 5.42 0.0053 variety*dist 9 24.5 0.68 0.7192 RB AR1 Convergence criteria met. Estimated R Matrix for variety*block 1 1 Row Col1 Col2 Col3 Col4 1 7867.99 3827.84 1862.28 906.01 2 3827.84 7867.99 3827.84 1862.28 3 1862.28 3827.84 7867.99 3827.84 4 906.01 1862.28 3827.84 7867.99 Covariance Parameter Estimates Cov Parm Subject Estimate block 0 variety*block 0 AR(1) variety*block 0.4865 Residual 7867.99 Fit Statistics -2 Res Log Likelihood 389.0 AIC (smaller is better) 393.0 AICC (smaller is better) 393.4 BIC (smaller is better) 391.2 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F variety 3 8.63 2.87 0.0985 dist 3 22.6 7.36 0.0013 variety*dist 9 22.4 0.95 0.5041 RB ARH1 Convergence criteria met but final hessian is not positive definite. Estimated R Matrix for variety*block 1 1 Row Col1 Col2 Col3 Col4 1 7324.28 3648.79 3361.45 2157.55 2 3648.79 5331.95 4912.06 3152.82 3 3361.45 4912.06 13274 8519.79 4 2157.55 3152.82 8519.79 16040 Covariance Parameter Estimates Cov Parm Subject Estimate block 407.21 variety*block 0 Var(1) variety*block 7324.28 Var(2) variety*block 5331.95 Var(3) variety*block 13274 Var(4) variety*block 16040 ARH(1) variety*block 0.5839 Fit Statistics -2 Res Log Likelihood 386.3 AIC (smaller is better) 398.3 AICC (smaller is better) 401.7 BIC (smaller is better) 392.9 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F variety 3 1.46 2.83 0.3295 dist 3 7.51 3.53 0.0723 variety*dist 9 7.91 0.65 0.7323 RB UN Convergence criteria met but final hessian is not positive definite. Estimated R Matrix for variety*block 1 1 Row Col1 Col2 Col3 Col4 1 4156.36 1383.35 -3803.24 -4170.92 2 1383.35 2164.06 -495.84 -1524.29 3 -3803.24 -495.84 10093 8117.98 4 -4170.92 -1524.29 8117.98 12860 Covariance Parameter Estimates Cov Parm Subject Estimate block 2.11E-14 variety*block 212.79 UN(1,1) variety*block 4156.36 UN(2,1) variety*block 1383.35 UN(2,2) variety*block 2164.06 UN(3,1) variety*block -3803.24 UN(3,2) variety*block -495.84 UN(3,3) variety*block 10093 UN(4,1) variety*block -4170.92 UN(4,2) variety*block -1524.29 UN(4,3) variety*block 8117.98 UN(4,4) variety*block 12860 Fit Statistics -2 Res Log Likelihood 376.4 AIC (smaller is better) 398.4 AICC (smaller is better) 411.6 BIC (smaller is better) 388.5 Effect DF DF F Value Pr > F variety 3 9.32 5.39 0.0202 dist 3 6.01 7.51 0.0186 variety*dist 9 6.86 1.50 0.3044 Using the downweighted df approach ... 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 variety 3 128063.0823 42687.6941 6.11 0.0296 block 2 27000.5954 13500.2977 1.93 0.2249 Error 6 41901.9846 6983.6641 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-L distance 3 119128.2290 39709.4097 11.97 0.0002 0.0028 0.0007 distance*variety 9 44836.7785 4981.8643 1.50 0.2208 0.2716 0.2466 distance*block 6 118035.0179 19672.5030 5.93 0.0015 0.0119 0.0046 Error(distance) 18 59699.7021 3316.6501 Greenhouse-Geisser Epsilon 0.5634 Huynh-Feldt-Lecoutre Epsilon 0.7604