Which of the following is not true of Tukey's Multiple Comparison Method? a. It is based...
Which of the following is not true of Tukey's Multiple Comparison Method?
| a. |
It is based on the studentized range statistic q to obtain the critical value needed to construct individual confidence intervals. |
|
| b. |
It requires that all sample sizes are equal, or at least similar. |
|
| c. |
It can be employed instead of the analysis of variance. |
|
| d. |
All of these. |
|
| e. |
None of these. |
Homework Answers
Answer: D) All of these.
Explanation:
A) The Tukey method uses the studentized range Statistic. Suppose we have 'r' independent observations 'y1',…,'yr' following Normal distribution with mean value 'μ' and variance 'σ2'. Let 'w' be the range for this set. Now suppose that we have an estimate 's2' of the variance 'σ2' which is based on 'ν' degrees of freedom and is independent of the 'yi'. The studentized range is defined as:
B)The confidence coefficient for the set, when all sample sizes are equal, is exactly 1−α. For unequal sample sizes, the confidence coefficient is greater than 1−α. In other words, the Tukey method is conservative when there are unequal sample sizes.
C)You can definitely use the Tukey method instead of ANOVA.
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