Let's Put Garbage-Can Regressions and Garbage-Can Probits Where They Belong

Many social scientists believe that dumping long lists of explanatory variables into linear regression, probit, logit, and other statistical equations will successfully “control” for the effects of auxiliary factors. Encouraged by convenient software and ever more powerful computing, researchers also believe that this conventional approach gives the true explanatory variables the best chance to emerge. The present paper argues that these beliefs are false, and that without intensive data analysis, linear regression models are likely to be inaccurate. Instead, a quite different and less mechanical research methodology is needed, one that integrates contemporary powerful statistical methods with deep substantive knowledge and classic data–analytic techniques of creative engagement with the data.

Keywords

• regression analysis,
• linearity,
• data analysis,
• rule of three,
• monotonicity