Explain the two-factor analysis of variance table

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Question: Consider the following partially completed two-factor analysis of variance table, which is an outgrowth of a study in which factor A has four levels and factor B has three levels. The number of replications was 11 in each cell.

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a. Complete the analysis of variance table.

b. Based on the sample data, can you conclude that the two factors have significant interaction? Test using a significance level equal to 0.05.

c. Based on the sample data, should you conclude that the means for factor A differ across the four levels or the means for factor B differ across the three levels? Discuss.

d. Considering the outcome of part b, determine what can be said concerning the differences of the levels of factors A and B. Use a significance level of 0.10 for any hypothesis tests required. Provide a rationale for your response to this question.

Reference no: EM131654525

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