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I have a question on comparing means and I would be really thankful if you could help... I have a data set that contains responses from a questionnaire (so one group only, N=216). The questionnaire forms 3 scales (A,B,C).

My means for these scales are: A:mean=14.92, with SD=6.96 B:mean=10.51, with SD=7.32 C:mean=14.04, with SD=11.12

I would like to compare these three means to see which scale is higher (where people scored higher). What should I do? Should I first transform my data into z-scores before making comparison? Thank you for your time and help.

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  • $\begingroup$ are these three scales sub-constructs or each one of these is so-called equivalent to each other implying that three (scales) are competing with other $\endgroup$
    – user10619
    Commented Nov 28, 2013 at 15:45
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    $\begingroup$ You should not transform to z-scores! A common approach if you want to do hypothesis testing would be to use ANOVA to test for equality of means. $\endgroup$
    – Glen_b
    Commented Nov 28, 2013 at 22:21

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You want a repeated measures ANOVA, where the scales are the repeated measures. Then you can perform contrasts between scales to see which are higher.

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