STATISTICAL TECHNIQUES AND TOOLS
ANALYSIS OF VARIANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A researcher can use the Scheffé or Tukey test to determine where the difference in the means lies, once the null hypothesis for the F-test has been rejected.
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True
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False, only the Scheffe’ test can determine where the difference in the means lie, once the null hypothesis is reject
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False, only the Tukey test can determine where the difference in the means lie, once the null hypothesis is reject
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False, both tests can be used to determine where the difference in the means lies without the null hypothesis of the F-test needing to be rejected
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Explanation:
Detailed explanation-1: -If Scheffé’s test was used, the critical value of F would be 11.46, as shown previously. Alternatively, if a Bonferroni correction was applied to the tests, it would require a significance level of = . 05/7 = .
Detailed explanation-2: -Scheffé controls the probability of a Type I error by tying the experimentwise error rate to the overall decision concerning the differences between means. The test is so designed that the overall Ho must be rejected before it is possible to reject Ho for a comparison.
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