Regression Inside Out

Eric W. Schoon is Associate Professor of Sociology at The Ohio State University. His research interests include case-oriented and relational methods, sociological theory, and cultural dimensions of contentious politics. His work has appeared in outlets including American Sociological Review, Journal of Politics, Social Forces, and Social Problems. David Melamed is Professor of Sociology and Translational Data Analytics at The Ohio State University. He is currently co-Editor of Sociological Methodology. His research interests include the emergence of stratification and cooperation in complex systems. His work has appeared in American Journal of Sociology, American Sociological Review, and interdisciplinary venues. Ronald L. Breiger is Regents Professor of Sociology at the University of Arizona. His interests include social network theory and methods and measurement issues in cultural and institutional analysis. He is the recipient of distinguished career awards from (respectively) the Methodology and Mathematical Sociology Sections of the American Sociological Association.

1. Regression inside out; Part I: 2. OLS inside out; 3. Generalizing regression inside out; 4. Turning variance inside out with Eunsung Yoon; Part II: 5. Action detection; 6. Interaction detection; Part III: 7. RIO as a gateway to case selection; 8. RIO as a gateway to configurational comparative analysis; 9. RIO as a gateway to field theory; 10. Conclusion; Appendix A: A brief introduction to matrices and matrix multiplication; Appendix B: Computation of the singular value decomposition (SVD); Appendix C: Variance for binomial and count outcomes; Appendix D: Compositional effects in using RIO to detect statistical interactions; Appendix E: Monte Carlo simulation detecting interactions by regressing on rows of P.