Smoking and cancers: case-robust analysis of a classic data set

Bentler, Peter M.; Satorra, Albert; Yuan, Ke-Hai

doi:http://dx.doi.org/10.1080/10705510902751382

Smoking and cancers: case-robust analysis of a classic data set

Citation

Bentler PM, Satorra A, Yuan KH. Smoking and cancers: case-robust analysis of a classic data set. Structural Equation Modeling. 2009 Apr 15;16(2):382-90. DOI: 10.1080/10705510902751382

Abstract

A typical structural equation model is intended to reproduce the means, variances, and correlations or covariances among a set of variables based on parameter estimates of a highly restricted model. It is not widely appreciated that the sample statistics being modeled can be quite sensitive to outliers and influential observations, leading to bias in model parameter estimates. A classic public epidemiological data set on the relation between cigarette purchases and rates of 4 types of cancer among states in the United States is studied with case-weighting methods that reduce the influence of a few cases on the overall results. The results support and extend the original conclusions; the standardized effect of smoking on a factor underlying deaths from bladder and lung cancer is .79.