I carried out a study in which I compared the quantitative data of six groups (n=10). SPSS version 17 was used to analyze the result at .05 level of significance. All One-Way ANOVA’s assumptions were fulfilled. The ANOVA's test was performed and the mean comparison showed statistical significant (p=0.002). Well, Tukey post hoc test was performed and the result was:

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As it can be seen, the means of groups 1 to 5 were at the same subset, indicating that there is no significance difference between them (p=0.082). The same can be observed in relation to the groups 3 to 6 (p=0.072). If the results of groups 3, 4 and 5 are similar to groups 1 and 2 and, at the same time, to group 6, is it not logical to infer that groups 1 and 2 are equal to group 6?

What is the correct way to interpret this result? What are the similar groups? What are the different ones?

Thanks in advance

Marco Versiani

As it can be seen, the means of groups 1 to 5 were at the same subset, indicating that there is no significance difference between them (p=0.082). The same can be observed in relation to the groups 3 to 6 (p=0.072). If the results of groups 3, 4 and 5 are similar to groups 1 and 2 and, at the same time, to group 6, is it not logical to infer that groups 1 and 2 are equal to group 6?

What is the correct way to interpret this result? What are the similar groups? What are the different ones?

Thanks in advance

Marco Versiani

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