True-Value Regression Theory

Journal of Data Science

article

Gordon G. Bechtel¹ 

[1] University of Florida and Florida Research Institute

关键词: Coefficient alpha;    equation error;    errors in variables;   

DOI  :  10.6339/JDS.2010.08(4).643

学科分类：土木及结构工程学

来源: JDS

【 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.

【 授权许可】

CC BY