The SAS System 15:38 Monday, April 13, 1992 1 General Linear Models Procedure Class Level Information Class Levels Values TRT 2 A B SEQ 2 1 2 PERSON 8 1 2 3 4 5 6 7 8 Number of observations in data set = 28 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 15 27.96583333 1.86438889 1.50 0.2435 Error 12 14.94416667 1.24534722 Corrected Total 27 42.91000000 R-Square C.V. Root MSE Y Mean 0.651732 -2231.903 1.1159513 -0.0500000 Source DF Type I SS Mean Square F Value Pr > F SEQ 1 4.57333333 4.57333333 3.67 0.0794 PERSON(SEQ) 12 12.00666667 1.00055556 0.80 0.6446 TRT 1 5.14285714 5.14285714 4.13 0.0649 TRT*SEQ 1 6.24297619 6.24297619 5.01 0.0449 Source DF Type III SS Mean Square F Value Pr > F SEQ 1 4.57333333 4.57333333 3.67 0.0794 PERSON(SEQ) 12 12.00666667 1.00055556 0.80 0.6446 TRT 1 3.56297619 3.56297619 2.86 0.1165 TRT*SEQ 1 6.24297619 6.24297619 5.01 0.0449 General Linear Models Procedure Source Type III Expected Mean Square SEQ Var(Error) + 2 Var(PERSON(SEQ)) + Q(SEQ,TRT*SEQ) PERSON(SEQ) Var(Error) + 2 Var(PERSON(SEQ)) TRT Var(Error) + Q(TRT,TRT*SEQ) TRT*SEQ Var(Error) + Q(TRT*SEQ) General Linear Models Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: Y Source: SEQ * Error: MS(PERSON(SEQ)) Denominator Denominator DF Type III MS DF MS F Value Pr > F 1 4.5733333333 12 1.0005555556 4.571 0.0538 * - This test assumes one or more other fixed effects are zero. Source: PERSON(SEQ) Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 12 1.0005555556 12 1.2453472222 0.803 0.6446 Source: TRT * Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 1 3.5629761905 12 1.2453472222 2.861 0.1165 * - This test assumes one or more other fixed effects are zero. Source: TRT*SEQ Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 1 6.2429761905 12 1.2453472222 5.013 0.0449 Least Squares Means SEQ Y LSMEAN 1 0.41666667 2 -0.40000000 Least Squares Means TRT Y LSMEAN A 0.36875000 B -0.35208333 TRT SEQ Y LSMEAN A 1 0.30000000 A 2 0.43750000 B 1 0.53333333 B 2 -1.23750000 Dependent Variable: Y Tests of Hypotheses using the Type III MS for PERSON(SEQ) as an error term Source DF Type III SS Mean Square F Value Pr > F SEQ 1 4.57333333 4.57333333 4.57 0.0538