Question: Find the ANOVA table for the two-way ANOVA without interaction model when there are proportional numbers. Find the least squares estimate of a contrast in

Find the ANOVA table for the two-way ANOVA without interaction model when there are proportional numbers. Find the least squares estimate of a contrast in the aiS. Find the variance of the contrast and give a definition of orthogonal contrasts that depends only on the contrast coefficients and the Nijs. If the aiS correspond to levels of a quantitative factor, say XiS, find the linear contrast.

The analysis when interaction is included is similar. It is based on repeated use of the one-way ANOVA.

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