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ESTIMATING MEANS AND PERCENTAGES IN A COMPLEX SAMPLING SURVEY: APPLICATION TO A FRENCH NATIONAL SURVEY ON SEXUAL BEHAVIOUR (ACSF)
Author(s) -
WARSZAWSKI JOSIANE,
MESSIAH ANTOINE,
LELLOUCH JOSEPH,
MEYER LAURENCE,
DEVILLE JEANCLAUDE
Publication year - 1997
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19970228)16:4<397::aid-sim391>3.0.co;2-t
Subject(s) - estimator , statistics , sampling (signal processing) , sampling design , inference , survey sampling , confidence interval , statistical inference , selection (genetic algorithm) , computer science , standard error , stratified sampling , econometrics , sample size determination , population , mathematics , demography , machine learning , artificial intelligence , filter (signal processing) , sociology , computer vision
Two‐phase stratification sampling with unequal selection probabilities is a relatively cost‐efficient strategy to address problems on a nationwide basis and to perform comparative analyses of specific subgroups. This was the case with the ACSF survey. Specific procedures to estimate the variances of unbiased estimators in complex sampling designs are not included in standard statistical packages and no specialized software is available for two‐phase sampling. A detailed synthesis of general basic rules for inference about a target population from a probability sample is first presented. We follow with a standard procedure to estimate means and percentages with their confidence intervals according to the design. Finally, numerical results are discussed. © 1997 by John Wiley & Sons, Ltd.