Tukey Test A display of the Bonferroni test results from Table...

Question

Tukey Test A display of the Bonferroni test results from Table 12-1 (which is part of the Chapter Problem) is provided here. Shown on the top of the next page is the SPSS-generated display of results from the Tukey test using the same data. Compare the Tukey test results to those from the Bonferroni test.

SPSS Tukey test results table showing mean differences, standard errors, and significance levels for multiple size comparisons.

Accepted Answer

Although, in this video we are told that a researcher analyzes the mean scores of 4 different teaching methods using a nova. She then performs both the Bonfroni and the the Touque post hoc tests for all pairwise comparisons. The Bonfroni test finds that only the comparison method between A and method B is significant at a 0.05 level, and the T test finds that both methods A versus method D and method B versus method D are significant at the 0.05 level. Based on these results, which statement is more accurate? OK, so, let's just go ahead and think about the methods that or the information that is given to us. So the first important piece is that Enova was conducted for this test, and that means that the mean scores, or we are comparing the mean scores between the four tests. Now the 2nd piece of information is that there were 2 tests that were performed for pairwise comparisons. We are using the Bon Ferroni test and the two quey test. Now, what's interesting is that the Bonfroni found. That method A versus method B is method D is significant. And the last piece of information that was given to us is that for the toque method. A versus D is significant. And B versus D. Is significant as well. So, what is important about these results? Well, the Bon Ferroni test is more conservative, meaning it reduces the likelihood of type one errors by using a stricter criterion. And the Tuki test is less conservative and is designed to control the Type one error rate when making multiple comparisons. So the differences between method A versus method D is significant in both tests. As we can see in the given results. However The Tuque test also finds that method B versus method D is significant, while the bone Ferroni test doesn't. This discrepancy arises because the Bonfroni test is more stringent and thus it does not find that method B versus method D comparison is significant at the 0.05 level. So what this means is that the correct interpretation is going to be option A. The Tuque test is less conservative than the Bonfroni test for these pairs of data. So I hope this video helps you in understanding how to approach this problem, and we will go ahead and see you all in the next video.

Key Concepts

Multiple Comparison Tests

Tukey's Honestly Significant Difference (HSD) Test

Interpretation of SPSS Output for Multiple Comparisons

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