题名

True-Value Regression Theory

DOI

10.6339/JDS.2010.08(4).643

作者

Gordon G. Bechtel

关键词

Coefficient alpha ; equation error ; errors in variables ; European Social Survey ; Horvitz-Thompson estimation ; imputed census ; institutional trust ; item non-response ; variance estimation

期刊名称

Journal of Data Science

卷期/出版年月

8卷4期(2010 / 10 / 01)

页次

521 - 539

内容语文

英文

英文摘要

Design-based regression regards the survey response as a constant waiting to be observed. Bechtel (2007) replaced this constant with the sum of a fixed true value and a random measurement error. The present paper relaxes the assumption that the expected error is zero within a survey respondent. It also allows measurement errors in predictor variables as well as in the response variable. Reasonable assumptions about these errors over respondents, along with coefficient alpha in psychological test theory, enable the regression of true responses on true predictors. This resolves two major issues in survey regression, i.e. errors in variables and item non-response. The usefulness of this resolution is demonstrated with three large datasets collected by the European Social Survey in 2002, 2004 and 2006. The paper concludes with implications of true-value regression for survey theory and practice and for surveying large world populations.

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