Jackknife Estimation of Functions of Stratum Means

Abstract

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Socioeconomic disparities in physical health among Aboriginal and Torres Strait Islander children in Western Australia

“…Standard errors for survey estimates of totals were produced using the Ultimate Cluster Variance estimation technique (Wolter 1985). Standard errors for estimates of odds ratios and proportions were calculated using a modified form of the Jack knife variance estimation technique (Jones 1974). Standard chi-square tests and chi-square tests for trend adjusted for the complex sample design were used to assess the difference between categorical SES indicators and dichotomised health outcome variables.…”

Inference from Stratified Samples: Second-Order Analysis of Three Methods for Nonlinear Statistics

“…The expansion (9) The derivations of E ( B y ) ) , E(Bi2'), and E(By') can be justified under conditions similar to (8). Since (5b) is not needed in the preceding derivation, the bias reduction result of @) holds true for bounded and unbounded L. Jones (1974) gave a similar result on B ( g y ) ) , but without the precise order, as in (14).…”

“…(1) Jones (1974) proposed the following estimator: 8y) = (n f 1 -L)8 -2 (nh -1)ah, n = nh. For nh = 2, g:' ) was considered in McCarthy (1966).…”

A Point Estimator for the Time Course of Drug Release

“…Although it has been discussed widely in the statistical literature, applications of the jackknife procedure in situations with two or more samples have been studied less extensively (e.g. Jones, 1974;Ahmad 1981). For the problem at hand, we follow a definition of the jackknife variance estimator in the two sample situation that was first given by Arvesen (1969).…”