Quick Simultaneous Confidence Intervals for Multinomial Proportions
- 1 September 1987
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 82 (399) , 875
- https://doi.org/10.2307/2288799
Abstract
Opinion polls often give an indication of sampling error based on the standard conservative confidence intervals for a single binomial proportion. We give a lower bound for the simultaneous coverage probability when such intervals are applied to all of the proportions in a poll. This bound is equal to 1 – 2α. for small values of α. The same result is shown to apply to the standard confidence intervals for changes in proportions between surveys.Keywords
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