# Question

Design a factorial experiment whose three factors have 2, 3, and 4 levels, respectively.

(a) List the factors and their levels.

(b) Assuming that all interactions are to be included in the analysis of variance, what is the minimum number of replicates required for the degrees of freedom for error to be at least 30?

(c) What would the degrees of freedom for error be if all three-factor interactions are assumed to equal zero, and there are no replications.

(a) List the factors and their levels.

(b) Assuming that all interactions are to be included in the analysis of variance, what is the minimum number of replicates required for the degrees of freedom for error to be at least 30?

(c) What would the degrees of freedom for error be if all three-factor interactions are assumed to equal zero, and there are no replications.

## Answer to relevant Questions

Use statistical computer software to test for the significance of all estimated main effects and two- factor interactions at the 0.05 level of significance. Make use of the identity To prove Theorem 15.3. Find the probability that n1 = 6 letters of one kind and n2 = 5 letters of another kind will form at least 8 runs. On what statistic do we base our decision and for what values of the statistic do we reject the null hypothesis if we have a random sample of size n = 10 and are using the signed- rank test at the 0.05 level of significance ...With reference to the signed- rank test, find the mean and the variance of the random variable whose values are given by T+ – T–.Post your question

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