2012
DOI: 10.1080/00949655.2010.530601
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The optimal method to make inferences about a linear combination of proportions

Abstract: Asymptotic inferences about a linear combination of K independent binomial proportions are very frequent in applied research. Nevertheless, until quite recently research had been focused almost exclusively on cases of K2 (particularly on cases of one proportion and the difference of two proportions). This article focuses on cases of K>2, which have recently begun to receive more attention due to their great practical interest.In order to make this inference, there are several procedures which have not been (w… Show more

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Cited by 10 publications
(14 citation statements)
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“…Recently Martín Andrés et al (2012) have proved that the best way of carrying out (non-simultaneous) inferences on L is by the score method (Martín Andrés et al 2011). The method consists in substituting in the statistic g of expression (1) the unknown quantity ω i = n i / p i q i for its estimation ω i = n i /p iqi , wherep i is the estimator of maximum likelihood for p i under the null hypothesis β i p i = λ andq i = 1 −p i .…”
Section: Solution Using the Score Methodsmentioning
confidence: 99%
“…Recently Martín Andrés et al (2012) have proved that the best way of carrying out (non-simultaneous) inferences on L is by the score method (Martín Andrés et al 2011). The method consists in substituting in the statistic g of expression (1) the unknown quantity ω i = n i / p i q i for its estimation ω i = n i /p iqi , wherep i is the estimator of maximum likelihood for p i under the null hypothesis β i p i = λ andq i = 1 −p i .…”
Section: Solution Using the Score Methodsmentioning
confidence: 99%
“…Due to its important practical value, extensions for the difference of two independent binomial proportions and, although in smaller number, for any linear function of 2 success proportions of independent binomial populations have received some attention. In particular, new CI methods for linear combinations of proportions have been emerged by considering different types of adjustment of classic methods for estimating single binomial proportions [16] , [17] . For instance, [19] proposed a hybrid score CI for the difference between two proportions, , taking into account the limits of the CIs for each of the proportions and given when the score method is applied.…”
Section: Estimation Of Linear Combinations Of Proportionsmentioning
confidence: 99%
“…with ( ) v L  the variance of the L  estimator. There are several variants of the Wald method to estimate the linear combinations of binomial proportions [1,2,10], where the approximate confidence interval CI for L could be, in general, given by q…”
Section: K X Xmentioning
confidence: 99%
“…Under random-effects model context, there are closed form and iterative methods to estimate the between-study variance, in [1] can be found 16 distinct methods. However, the most popular procedure to estimate the betweenstudy variance is the Der Simonian and Laird (DL) method [2], and it is the default option in several meta-analysis software's. Here, we focus in the most popular meta-analysis methods, resuming the methods by some differentiator features (Table 1).…”
Section: Introductionmentioning
confidence: 99%