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21.
In this article, a new estimator for estimating the finite population variance of a sensitive variable based on scrambled responses collected using a randomization device is introduced. The estimator is then improved by using known auxiliary information. The estimators due to Das and Tripathi (1978: Sankhya) and Isaki (1983: JASA) are shown to be special cases of the proposed estimator. Numerical simulations are performed to study the magnitude of the gain in efficiency when using the estimator with auxiliary information with respect to the estimator based only on the scrambled responses. An idea to extend the present work from SRSWOR design to more complex design is also given. 相似文献
22.
Two-phase study designs can reduce cost and other practical burdens associated with large scale epidemiologic studies by limiting
ascertainment of expensive covariates to a smaller but informative sub-sample (phase-II) of the main study (phase-I). During
the analysis of such studies, however, subjects who are selected at phase-I but not at phase-II, remain informative as they
may have partial covariate information. A variety of semi-parametric methods now exist for incorporating such data from phase-I
subjects when the covariate information can be summarized into a finite number of strata. In this article, we consider extending
the pseudo-score approach proposed by Chatterjee et al. (J Am Stat Assoc 98:158–168, 2003) using a kernel smoothing approach
to incorporate information on continuous phase-I covariates. Practical issues and algorithms for implementing the methods
using existing software are discussed. A sandwich-type variance estimator based on the influence function representation of
the pseudo-score function is proposed. Finite sample performance of the methods are studies using simulated data. Advantage
of the proposed smoothing approach over alternative methods that use discretized phase-I covariate information is illustrated
using two-phase data simulated within the National Wilms Tumor Study (NWTS). 相似文献
23.
Some Strategies of Two-Stage Sampling for Estimating Population Ratios Over two Occasions 总被引:1,自引:0,他引:1
In this paper strategies based on a two-stage successive sampling scheme are proposed for estimating the ratio of the population totals of two characters on the most recent occasion. It is found that the proposed strategies perform better than the standard ratio when used in estimating the ratio of farmers' income to non-farmers' income. But when applied to the estimation of ratio of girth to height of teak trees, a loss in efficiency is observed. 相似文献