Asked by Lacey Johnson on Jun 06, 2024

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Which of the following is true of Tukey's Multiple Comparison Method?

A) It is based on the studentized range statistic to obtain the critical value needed to construct individual confidence intervals.
B) It theoretically requires that all sample sizes be equal,or at least similar.
C) It is more powerful than the LSD method.
D) All of these choices are true.

Tukey's Multiple Comparison

A statistical test used to find the differences between means in a set of data, controlling the error rate when making several comparisons.

Studentized Range Statistic

A measure used in statistics to identify outliers in a data set, calculated by dividing the range by an estimate of the standard deviation.

Critical Value

A critical value is a point on the distribution curve that separates the area where the null hypothesis is accepted from the area where it is rejected in hypothesis testing.

  • Gain an understanding of the key principles and limitations pertaining to multiple comparison techniques, notably Fisher's LSD and Tukey's method.
  • Conduct calculations and analyze the interpretations stemming from Tukey's method of multiple comparisons.
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Nhut Vu NguyenJun 13, 2024
Final Answer :
D
Explanation :
Tukey's Multiple Comparison Method uses the studentized range statistic to obtain the critical value for constructing individual confidence intervals, requires that all sample sizes be equal or at least similar for optimal performance, and is generally considered more conservative and less likely to commit Type I errors compared to the LSD (Least Significant Difference) method, making it more powerful in controlling the family-wise error rate.