Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Biostatistics
In Praise Of Simplicity Not Mathematistry! Ten Simple Powerful Ideas For The Statistical Scientist, Roderick J. Little
In Praise Of Simplicity Not Mathematistry! Ten Simple Powerful Ideas For The Statistical Scientist, Roderick J. Little
The University of Michigan Department of Biostatistics Working Paper Series
Ronald Fisher was by all accounts a first-rate mathematician, but he saw himself as a scientist, not a mathematician, and he railed against what George Box called (in his Fisher lecture) "mathematistry". Mathematics is the indispensable foundation for statistics, but our subject is constantly under assault by people who want to turn statistics into a branch of mathematics, making the subject as impenetrable to non-mathematicians as possible. Valuing simplicity, I describe ten simple and powerful ideas that have influenced my thinking about statistics, in my areas of research interest: missing data, causal inference, survey sampling, and statistical modeling in general. …
Proxy Pattern-Mixture Analysis For A Binary Variable Subject To Nonresponse., Rebecca H. Andridge, Roderick J. Little
Proxy Pattern-Mixture Analysis For A Binary Variable Subject To Nonresponse., Rebecca H. Andridge, Roderick J. Little
The University of Michigan Department of Biostatistics Working Paper Series
We consider assessment of the impact of nonresponse for a binary survey
variable Y subject to nonresponse, when there is a set of covariates
observed for nonrespondents and respondents. To reduce dimensionality and
for simplicity we reduce the covariates to a continuous proxy variable X
that has the highest correlation with Y, estimated from a probit
regression analysis of respondent data. We extend our previously proposed
proxy-pattern mixture analysis (PPMA) for continuous outcomes to the binary
outcome using a latent variable approach. The method does not assume data
are missing at random, and creates a framework for sensitivity analyses.
Maximum …