Tukey's HSD test is used
a. prior to performing a one-way ANOVA.
b. to determine the amount of difference between group means.
c. to determine whether the overall difference among groups means is significant.
d. to locate "true" differences after a significant F
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The correct option is d. Tukey's HSD (Honestly Significant Difference) test is used to locate "true" differences between multiple group means after a significant result has been obtained from a one-way ANOVA (Analysis of Variance).
To determine the correct answer, let's go through the options one by one:
a. Prior to performing a one-way ANOVA: This is not correct, as Tukey's HSD test is performed after the one-way ANOVA to identify significant differences between group means.
b. To determine the amount of difference between group means: This is not the purpose of Tukey's HSD test. Rather, it is used to identify which specific group means are significantly different from each other.
c. To determine whether the overall difference among group means is significant: This is not the purpose of Tukey's HSD test either. The one-way ANOVA is used to determine the overall difference between group means.
d. To locate "true" differences after a significant F: This is the correct answer. Once a significant result is obtained from a one-way ANOVA, Tukey's HSD test can be used to perform post hoc comparisons to identify which group means differ significantly from each other.
Therefore, the correct answer is d.