Solution: Whats wrong? For each of the following, explain

Chapter , Problem 13.2

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QUESTION:

Whats wrong? For each of the following, explain what is wrong and why. (a) Parallel profiles of cell means imply that a strong interaction is present. (b) You can perform a two-way ANOVA only when the sample sizes are the same in all cells. (c) The estimate s2 p is obtained by pooling the marginal sample variances. (d) When interaction is present, the marginal means are always uninformative.

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QUESTION:

Whats wrong? For each of the following, explain what is wrong and why. (a) Parallel profiles of cell means imply that a strong interaction is present. (b) You can perform a two-way ANOVA only when the sample sizes are the same in all cells. (c) The estimate s2 p is obtained by pooling the marginal sample variances. (d) When interaction is present, the marginal means are always uninformative.

ANSWER:

Step 1 of 4

a)

Interaction plots are used to understand the relationship between the variables. They give the idea how the change in behavior of one variable affects another. When the profiles are parallel, it means that the two factors do not have any interaction between them.

Hence, correct statement should be: Parallel profiles of cells infers that the interaction between the two variables is null’.

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