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Factorial ANOVA, ANCOVA (Factorial ANOVA (Sum of Squares (Sum of Squares…
Factorial ANOVA, ANCOVA
Factorial ANOVA
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between-subjects, within-subjects, mixed
F-ratio - measure of the variation explained by the model and the variation explained by the unsystematic factors
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ANCOVA :
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reduces error variance - explaining some of the enexplained variance (SSR), the error variance in the model can be reduced
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Assumptions
Independence of covariate and IV - covariate should not have any shared variance with IV in explaining DV
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Reporting
analysis of covariance showed that, upon controlling for covariate, the effect of PV on DV is/ is not sog, F(df,df) = ,p (test of btw-sub effects table)
assumption of homogeneity of regression slopes is assumed, F(df,df) = ,p (test of btw-sub table with interaction effect)
one-way ANOVA shows that the link btw IV and covariate is / is not sig, F(df,df) = ,p. IV and covariate is/is not independent
in conclusion, DV differs across different PVs after partialling out the effect of covariate on DV