Which of the following is true regarding the conclusions of the assumption of sp

Question

Which of the following is true regarding the conclusions of the assumption of sphericity and the repeated measures ANOVA? Select all that are true.

A. If the assumption of sphericity is violated and the ANOVA test is significant (concluding group means are significantly different), the researcher can be very confident in the results of the ANOVA test (the Type I error rate is likely less than ).

B. If the assumption of sphericity is violated and the ANOVA test is not significant (concluding group means are not significantly different), the researcher can be very confident in the results of the ANOVA test (the Type II error rate is very small).

C. If the assumption of sphericity is violated and the ANOVA test is significant (concluding group means are significantly different), the researcher should be less confident in the results of the ANOVA test (the Type I error rate is likely greater than ).

D. If the assumption of sphericity is violated and the ANOVA test is not significant (concluding group means are not significantly different), the researcher should be less confident in the results of the ANOVA test (the Type II error rate is very large).

Explanation / Answer

Answer

The statements that are true are -

A.) if the assumption of sphericity is violated and the anova test is significant (concluding group means are significantly different), the researcher can be very confident in the results of the anova test (the type 1 error rate is likely less than)

D.) if the assumption of sphericity is violated and the anova test is not significant (concluding group means are not significantly different), the researcher should be less confident in the results of the anova test (the type 2 error rate is very large).

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