In a two-factor ANOVA, which of the following is a proper null hypothesis for te

Question

In a two-factor ANOVA, which of the following is a proper null hypothesis for testing whether the two factors interact to affect the mean? a. The two factors interact to affect the mean. b. The two factors do not interact to affect the mean. c. The two factors are independent. d. The two factors are dependent. Flag this Question Question 2 0.3 pts In a two-factor ANOVA, there are 3 levels for factor A (A1, A2, and A3) and 2 levels for factor B (B1 and B2). Which of the following is an appropriate null hypothesis for testing whether the two factors interact to affect the mean? µA = µB µA µB µA1 = µA2 = µA3 = µB1 = µB2 µA1,B1 = µA1,B2 = µA2,B1 = µA2,B2 = µA3,B1 = µA3,B2 Flag this Question Question 3 0.3 pts In a two-factor ANOVA, one can perform three tests. Which of the following is incorrect about these tests? a. F-statistic value can vary from one test to another. b. The MST can vary from one test to another. c. The MSE can vary from one test to another. d. The critical value can vary from one test to another.

Explanation / Answer

1) The proper null hypothesis for testing whether the two factors interact to affect the mean is: two factors are independent. Hence, Option (c) is the correct choice. (Ans).

2) An appropriate null hypothesis for testing whether the two factors interact to affect the mean is: µA1,B1 = µA1,B2 = µA2,B1 = µA2,B2 = µA3,B1 = µA3,B2. (Ans).

3) We know, Total sum of squares is fixed and so MST can't vary from one test to another. Hence, the incorrect statement is Option (b). (Ans).

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