FAQ/BinomialConfidence/2gp - CBU statistics Wiki

Upload page content

You can upload content for the page named below. If you change the page name, you can also upload content for another page. If the page name is empty, we derive the page name from the file name.

File to load page content from
Page name
Comment
Type the missing letters from: He's no ded, he's jus resing hs eys

location: FAQ / BinomialConfidence / 2gp

Improved confidence limits for comparing two independent binomial proportions

The two-sample chi-square test (e.g. CROSSTABS in SPSS) can be used to test statistical significance of the difference in two independent proportions but this test does not provide a confidence interval on the magnitude of this difference.

Newcombe (1998) further goes on to compare various methods for giving confidence intervals for the difference in a pair of proportions from two different groups. he concludes that the Wald confidence interval is biased when the difference in proportions is close to zero or (+/-) one. As for a single proportion he recommends the two-sample analogue of the Wilson one-sample confidence interval.

This EXCEL spreadsheet computes the two sample analogues of the methods in the one-sample spreadsheet.

References

Moore DS & McCabe GP (2006) Introduction to the practice of statistics (5th ed.). WH Freeman:New York. (This mentions the two sample analogue of the Agresti-Coull method which was not mentioned in the original paper which dealt with the one-sample case).

Newcombe RG (1998) Interval estimation for the difference between independent proportions: comparison of eleven methods. Statistics in Medicine 17 873-890.