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Consider a hypothetical experiment in which the experimental units are divided i

ID: 3151625 • Letter: C

Question

Consider a hypothetical experiment in which the experimental units are divided into five groups, each receiving a different treatment. The five treatment groups define five populations of interest. For the experiment given, there are a total of pairwise comparisons of the population means. If every pairwise comparison of the population means is tested at a significance level of alpha =.05, then the comparisonwise Type I error rate is. Assuming that each comparison test is independent of all of the others, the experimentwise Type I error rate is. The experimentwise Type I error rate as the number of pairwise comparisons increases. Fisher's least significant difference (LSD) procedure is a multiple comparison procedure performed. Suppose all pairwise comparisons in this experiment are made using Fisher's LSD procedure. If you want the maximum experimentwise Type I error rate to be.05, then the comparisonwise Type I error rate should be using the Bonferroni adjustment. For a fixed sample size, lowering the Type I error rate the Type II error rate.

Explanation / Answer

a) Pairwise comparison for 5 = 5C2 = 10

b) Type I error rate <0.05 for each pair

c) 0.05 : As pair increases also type I error rate = the same 0.05

d) Taking the square root of Residual Mean Square from the ANOVA and considers that to be the pooled SD

e) increases

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