Question

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

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 < T_0.05 = 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 > T_0.05 = 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 < T_0.05 = 23.05. Hence we can conclude the difference between the means for 2 and 3 are not statistically significant.

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