DETERMINATION OF SAMPLE-SIZE FOR TESTING RELATION BETWEEN AN INCIDENT AND A SET OF RANDOM-VARIABLES IN A SAMPLE SURVEY
成果类型：
Article
署名作者：
YANG, MCK
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/65.3.635
发表日期：
1978
页码：
635640
关键词：
摘要：
It is often necessary to determine if, and to what extent, an incident A is related to a set of environmental random variables X = (X1,..., Xk)''. In the general population, X is assumed to be normally distributed with mean .mu. and covariance matrix .SIGMA.. A sample of X will be taken from the incident and nonincident groups, and, assuming that the incident rate p is approximately a linear function of X1,..., Xk, the sample sizes for detecting the dependence between A and X can be determined without any prior knowledge of the unknowns .mu. and .SIGMA.. Let p1 be the average incident rate in the population and .theta. and po be 2 given numbers with po < p1. The sample size is then determined so that the dependence relation between A and X will be detected with small error if a fraction .theta. or more of the population live in an environment which has incident rate no greater than po. An example concerning urinary stone incidence in human populations due to chemicals in drinking water is offered.
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