Take the 2-minute tour ×
Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. It's 100% free, no registration required.

Is there a test I can use to compare two proportions from the same sample that are not mutually exclusive?

For example, I would like see if the proportion of people that answered "yes" to a particular question is significantly different from the proportion of people that answered "yes" to a different question.

share|improve this question
add comment

2 Answers 2

The within-subjects test of equality of proportions is McNemar's test. I discuss it fairly thoroughly here: What is the difference between McNemar's test and the chi-squared test, and how do you know when to use each? The answer also provides an example demo in R, should you use that, but it should be easy to do in any software.

share|improve this answer
add comment

You could state as your null hypothesis the possibility that both answer statistics are drawn from the same binomial distribution, for the binomial that maximizes the chance that they are drawn from the same binomial.

I think @gung provides the better answer here. Note that the McNemar's test wikipedia article describes the use of the exact binomial sign test for small sample size (assuming equal population for both questions).

share|improve this answer
    
McNemar's test is equivalent to a binomial test, but a very specific one. The details are spelled out in my linked answer. –  gung Mar 17 at 19:29
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.