The Four Factor Analysis

The components of variance are reproduced in Table 11.8 below, along with the respective degrees of freedom. 

Source of Variance Degrees of Freedom Components of Variance 

G g- 1 do + rctgts ri toarg Sdigt + srogt + tsdig -I- rtBga + tsrog  

T t 1 do rdgts Utsr h Sdigc + srdgt -j rgdst + gsdrt + gswt  

In carrying out the analysis of variance, for convenience 2.5 was subtracted from each figure, and the results multiplied by 10 to remove the decimal point, this giving the figures in the last row. The rfect of this transformation is that all the sums of squares in the analysis of variance are 10 = 100 times too large. 

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The fact that the W X B interaction is marked for Sj but non-existent for Si implies the existence of a W X B X S interaction, which we had suspected from the four factor analysis. The non-existence of a B main effect for as compared with its great significance for Si indicates the existence of a S X B interaction the four factor analysis had showed that this exists but actually in the more complicated guise of an S X B X W interaction. 

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