𝔖 Bobbio Scriptorium
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Variances and Asymptotic Distributions of Direct Standardized Rates

✍ Scribed by Prof. Arthur Cohen; Linda J. Davis

Book ID
102759099
Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
528 KB
Volume
28
Category
Article
ISSN
0323-3847

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✦ Synopsis

Formulaa for the variance of direct standardized rates are given for three different aampling models. The three models are product multinomial models when population totals are fixed by deaign, or strata totals am fixed by deaign. or cell (each population-each stratum) totals are fixed by deaign. Asymptotic distributions are derived for each model. A discussion on the relevance and use of standardized rates and the need for distribution theory is also provided.

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Drawing distinct units without replacement and with unequal probabilities from a population is a problem often considered in the literature (e.g. Hanif and Brewer, 1980, Int. Statist. Rev. 48, 317-355). In such a case, the sample mean is a biased estimator of the population mean. For this reason, we