Select all statements that are true. a. If sample sizes are equal, the F-statist

Question

Select all statements that are true.

a. If sample sizes are equal, the F-statistic is robust to the violation of the assumption of independent observations across groups.

b. There is no statistical test to evaluate the violation of independent observations across groups.

c. If sample sizes are equal, the F-statistic is robust to the violation of the assumption of normally distributed data within groups.

d. The assumption of normality is only violated when all groups fail the statistical test of normally distributed data. If skewness and kurtosis values are within ±1, the F-statistic is robust to the violation of the assumption of normally distributed data.

e. Outliers have no effect on the F-statistic.

f.There is no statistical test to evaluate the violation of homogeneity of variance.

The F-statistic is robust to the violation of homogeneity of variance with sample sizes are equal, data within groups are normally distributed, and the ratio of the largest to smallest variance is 3

Explanation / Answer

a)  If sample sizes are equal, the F-statistic is robust to the violation of the assumption of independent observations across groups. - False

b) There is no statistical test to evaluate the violation of independent observations across groups. - False

c) If sample sizes are equal, the F-statistic is robust to the violation of the assumption of normally distributed data within groups.   - False

d)The assumption of normality is only violated when all groups fail the statistical test of normally distributed data. If skewness and kurtosis values are within ±1, the F-statistic is robust to the violation of the assumption of normally distributed data. -True

e)Outliers have no effect on the F-statistic. - False

f) There is no statistical test to evaluate the violation of homogeneity of variance. - False

g) The F-statistic is robust to the violation of homogeneity of variance with sample sizes are equal, data within groups are normally distributed, and the ratio of the largest to smallest variance is 3 - False

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