Question

Problem 5 of 7 Consider the standard definitions of sum of squared deviations in the two types of one factor ANOVA discussed in this unit. Prove the following. 1. SST = SSA +SSE (completely randomized ANOVA) 2. SST SSA +SSB SSE (randomized complete block ANOVA) 3. Prove the two alternative formulas for calculating the SSA,SSE,SST in the completely randomized ANOVA. Provide a justification of why someone may prefer to use these formulas against the others that calculate the sum of squared deviations directly. (for formulas, see the slides/lecture notes)

Answer 1

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for practical purposes this formula is more convenient than other