Question

Given the results of the Tukey's test presented in table 1, what can the researcher conclude?...

Given the results of the Tukey's test presented in table 1, what can the researcher conclude?

Table 1. Tukey's Test Results

Tukey’s Test Statistic

Differences between the averages

T0.05 = 23.05

Average 1 – Average 2 = 12.05

Average 1 – Average 3 = 25.18

Average 2 – Average 3 = -2.41
Math   Statistics-And-Probability   
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Answer #1

Based on the above, we would compare the difference in means with the test statistic. If the test statistic > difference between the averages, then the differences are not statistically significant,

For the first pair Average 1 – Average 2 = 12.05 < T0.05 = 23.05. Hence we can conclude the difference between the means for 1 and 2 is not statistically significant.

For the first pair Average 1 – Average 3 = 25.18 > T0.05 = 23.05. Hence we can conclude the difference between the means for 1 and 3 are statistically significant.

For the first pair Average 2 – Average 3 = -2.41 < T0.05 = 23.05. Hence we can conclude the difference between the means for 2 and 3 are not statistically significant.

Let me know in comments if anything is not clear. Will reply ASAP. Please do upvote if satisfied.

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