Between-Within Subjects ANOVA
If we want to test all main effects (factors) and their interactions, like we did before, and we want to add gender to the model, we need to use a different ANOVA test. This is because gender is a between subjects variable - that is each subject is a different gender. And we also have the within subject variables that we had before, so we have to use a Between-Within ANOVA.
Between-Within ANOVA in SAS
General Linear Models Procedure Repeated Measures Analysis of Variance Tests of Hypotheses for Between Subjects Effects Source DF Type III SS Mean Square F Value Pr > F SEX 1 49.9468 49.9468 0.42 0.5226 Error 30 3580.2096 119.3403 The SAS System 311 11:25 Friday, June 26, 1998 General Linear Models Procedure Repeated Measures Analysis of Variance Univariate Tests of Hypotheses for Within Subject Effects Source: WORDTYPE Adj Pr > F DF Type III SS Mean Square F Value Pr > F G - G H - F 1 0.41933316 0.41933316 0.20 0.6608 . . Source: WORDTYPE*SEX Adj Pr > F DF Type III SS Mean Square F Value Pr > F G - G H - F 1 0.07037487 0.07037487 0.03 0.8572 . . Source: Error(WORDTYPE) DF Type III SS Mean Square 30 64.05267636 2.13508921 The SAS System 312 11:25 Friday, June 26, 1998 General Linear Models Procedure Repeated Measures Analysis of Variance Univariate Tests of Hypotheses for Within Subject Effects Source: PRIME Adj Pr > F DF Type III SS Mean Square F Value Pr > F G - G H - F 1 2.81167301 2.81167301 1.87 0.1817 . . Source: PRIME*SEX Adj Pr > F DF Type III SS Mean Square F Value Pr > F G - G H - F 1 0.05408118 0.05408118 0.04 0.8509 . . Source: Error(PRIME) DF Type III SS Mean Square 30 45.12436725 1.50414558 The SAS System 313 11:25 Friday, June 26, 1998 General Linear Models Procedure Repeated Measures Analysis of Variance Univariate Tests of Hypotheses for Within Subject Effects Source: WORDTYPE*PRIME Adj Pr > F DF Type III SS Mean Square F Value Pr > F G - G H - F 1 5.56550868 5.56550868 4.48 0.0426 . . Source: WORDTYPE*PRIME*SEX Adj Pr > F DF Type III SS Mean Square F Value Pr > F G - G H - F 1 0.11018091 0.11018091 0.09 0.7678 . . Source: Error(WORDTYPE*PRIME) DF Type III SS Mean Square 30 37.24083479 1.24136116
Between-Within ANOVA in SAS JMP
Again we see that only significant effect is the interaction between WORDTYPE*PRIME is significant at the 0.05 level (p= 0.0426), suggesting that both the prime factor and the wordtype factor work together to affect reaction time.