7
$\begingroup$

Let's say that N randomly chosen persons where asked a question where the answer could be in either of X categories. For example, 500 persons where asked which of the top 5 political parties they support the most. Each person can give only one answer.

How do I determine if the leading party which, for example, got 33 % is truly larger than the 2nd largest party that got 29 % (on a certain confidence level).

Calculations like these solve my question when there are only two choices, but how about my case when there are several? http://www.stat.wmich.edu/s216/book/node85.html

$\endgroup$
2
  • $\begingroup$ you can find here a continuation of this discussion: stats.stackexchange.com/questions/19537/… $\endgroup$
    – L_T
    Dec 10, 2011 at 12:54
  • $\begingroup$ If the person can give only one answer then this is single choice, not multiple choice. $\endgroup$
    – Niksr
    Oct 31, 2015 at 1:46

2 Answers 2

5
$\begingroup$

Find out if there's any difference at all through Pearson's Chi Square. If this turns out significant, then do a (set of) post-hoc test(s), e.g. Tukey's HSD.

$\endgroup$
4
$\begingroup$

You would need to use the "Simultaneous Score Intervals for Difference of Proportions" to solve your question. The reference is " Agresti et al. 2008. Simultaneous confidence interval for comparing binomial parameters. Biometrics 64, 1270-1275.

The corresponding R code is available in http://www.stat.ufl.edu/~aa/cda/software.html

Sincerely,

$\endgroup$
0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

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