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In a 3 × 3 between-subjects ANOVA with 5 participants per cell, MSRows = 2.7, MSColumns...

In a 3 × 3 between-subjects ANOVA with 5 participants per cell, MSRows = 2.7, MSColumns = 10.5, MSInteraction = 13.2, and MSWithin = 2.5. What decision should the researcher make regarding the main effect represented in the rows?

a) The null hypothesis can be rejected at the .10 alpha level, but not at the .05 or .01 alpha levels.
b) The null hypothesis can be rejected at the .05 alpha level, but not at the .01 alpha level.
c) The null hypothesis can be rejected at the .01 alpha level.
d) The null hypothesis should not be rejected.
Math   Statistics-And-Probability   
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Answer #1

Solution: In a 3 × 3 between-subjects ANOVA with 5 participants per cell, MSRows = 2.7, MSColumns = 10.5, MSInteraction = 13.2, and MSWithin = 2.5. What decision should the researcher make regarding the main effect represented in the rows?

Answer: d) The null hypothesis should not be rejected.

To answer this question, we first need to calculate the F statistic for rows. The F statistic is given below:

Now we have to find the p-value corresponding to F-statistic=1.08 with .

The P-value is

Since the P-value is 0.3503, which is much higher than 0.1, 0.05 and 0.01. Therefore, we should not reject the null hypothesis.

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