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I think the fact that you are interested in Likert items substantially changes your question; thus I've tried to update it to reflect this; feel free to modify if you don't like the change.
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Jeromy Anglim
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Is there a test How to verify differencetest for differences between medians of multiple Likert items?

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Jeromy Anglim
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In a questionnaire study, we asked respondents to express their attitudes towards how different winter climate factors such as snow, slipperiness might affect their choice to walk and cycle to work. The sample composed of 500 individuals and answers were in form of 5 scales rating form very negative to very positive (ordinal scale). 

If I want to compare the responses to different questions, I guess median is a proper tool since theythe data is ordinal. I know that to compare means there are different statistical tests to show if the probability of difference is significant (t-test or non- parametric test..). But I am a bit confused if I can use these test on the type of data I explained here. Is there a test statistics to use for comparing medians? Or I should transfer data to interval scale if it is appropriate?

  • Is there a test statistics to use for comparing medians?
  • Or I should transfer data to interval scale if it is appropriate?

In a questionnaire study, we asked respondents to express their attitudes towards how different winter climate factors such as snow, slipperiness might affect their choice to walk and cycle to work. The sample composed of 500 individuals and answers were in form of 5 scales rating form very negative to very positive (ordinal scale). If I want to compare the responses to different questions, I guess median is a proper tool since they data is ordinal. I know that to compare means there are different statistical tests to show if the probability of difference is significant (t-test or non- parametric test..). But I am a bit confused if I can use these test on the type of data I explained here. Is there a test statistics to use for comparing medians? Or I should transfer data to interval scale if it is appropriate?

In a questionnaire study, we asked respondents to express their attitudes towards how different winter climate factors such as snow, slipperiness might affect their choice to walk and cycle to work. The sample composed of 500 individuals and answers were in form of 5 scales rating form very negative to very positive (ordinal scale). 

If I want to compare the responses to different questions, I guess median is a proper tool since the data is ordinal. I know that to compare means there are different statistical tests to show if the probability of difference is significant (t-test or non- parametric test..). But I am a bit confused if I can use these test on the type of data I explained here.

  • Is there a test statistics to use for comparing medians?
  • Or I should transfer data to interval scale if it is appropriate?
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Saeed
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Is there a test to verify difference between medians?

In a questionnaire study, we asked respondents to express their attitudes towards how different winter climate factors such as snow, slipperiness might affect their choice to walk and cycle to work. The sample composed of 500 individuals and answers were in form of 5 scales rating form very negative to very positive (ordinal scale). If I want to compare the responses to different questions, I guess median is a proper tool since they data is ordinal. I know that to compare means there are different statistical tests to show if the probability of difference is significant (t-test or non- parametric test..). But I am a bit confused if I can use these test on the type of data I explained here. Is there a test statistics to use for comparing medians? Or I should transfer data to interval scale if it is appropriate?