Inferences about a linear combination of proportions.

Abstract:

:Statistical methods for carrying out asymptotic inferences (tests or confidence intervals) relative to one or two independent binomial proportions are very frequent. However, inferences about a linear combination of K independent proportions L = Σβ(i)p(i) (in which the first two are special cases) have had very little attention paid to them (focused exclusively on the classic Wald method). In this article the authors approach the problem from the more efficient viewpoint of the score method, which can be solved using a free programme, which is available from the webpage quoted in the article. In addition the article offers approximate formulas that are easy to calculate, gives a general proof of Agresti's heuristic method (consisting of adding a certain number of successes and failures to the original results before applying Wald's method) and, finally, it proves that the score method (which verifies the desirable properties of spatial and parametric convexity) is the best option in comparison with other methods.

journal_name

Stat Methods Med Res

authors

Martín Andrés A,Alvarez Hernández M,Herranz Tejedor I

doi

10.1177/0962280209347953

subject

Has Abstract

pub_date

2011-08-01 00:00:00

pages

369-87

issue

4

eissn

0962-2802

issn

1477-0334

pii

0962280209347953

journal_volume

20

pub_type

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