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One-way ANOVA Part II – Additional Practice
发布时间:2023-03-28
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One-way ANOVA Part II – Additional Practice
1. Why would you use the Tukey Multiple Comparison Procedure?
A. To test for normality
B. To test for homogeneity of variance
C. To test independence of errors
D. To test for differences in pairwise means
2. Explain why the Tukey Multiple Comparison Procedure is called a “post hoc” procedure.
3. Multiple comparison methods are used in one-way ANOVA if the null hypothesis that no difference between the treatment means is
A. rejected
B. accepted
C. either A or B
D. neither A nor B
4. Suppose you wish to use the Bonferroni post hoc method to compare 2 pairs of means (µ 1 with µ2 and µ 1 with µ3 ). Further suppose that you desire a family significance level of 0. 10 and the degrees of freedom for the Within (or Error) source of variation are 12. What t** will you use to compute the margin of error (critical range)?
5. If every pairwise comparison of 6 means is done using the standard Two-sample t method with individual significance level 0.10, approximately what will the family significance level be?
6. The R&D department of a golf ball manufacturer recently developed three new types of golf balls. They would like to mass-produce the one that travels the farthest. Four of each type of golf ball is randomly selected from production. Twelve golfers were randomly selected to participate in the experiment and randomly assigned a golf ball to hit. The travel distances (in yards) were recorded as follows:
Type A |
Type B |
Type C |
222 |
310 |
246 |
231 |
328 |
233 |
255 |
322 |
210 |
264 |
340 |
239 |
Below are the Tukey multiple comparisons for a one-way ANOVA. What conclusions can you draw from these estimates? Be as specific as you can, and write your conclusions in the context of the problem.
Confidence Interval Tests Type A-Type B Type A-Type C Type B-Type C |
Difference of Means -82.000 11.000 93.000 |
Tukey Lower -114.043 -21.043 60.957 |
Upper -49.957 43.043 125.043 |