- Mark Tygert,
"Testing the significance of assuming homogeneity
in contingency-tables/cross-tabulations,"
Technical Report 1201.1421, arXiv, January 2012:
pdf.
This article analyzes homogeneity in contingency-tables/cross-tabulations
using the approach of our earlier paper,
"χ2 and classical exact tests often wildly misreport
significance; the remedy lies in computers," which is available below.
- William Perkins, Mark Tygert, and Rachel Ward,
"χ2 and classical exact tests often wildly misreport
significance; the remedy lies in computers,"
Technical Report 1108.4126, arXiv, August 2011;
updated, abbreviated version: pdf;
extended version: pdf.
This article is the leading and largest salvo in our crusade against the
Pearson χ2 test. This is the place to start.
- William Perkins, Mark Tygert, and Rachel Ward,
"Computing the confidence levels for a root-mean-square test
of goodness-of-fit, II,"
Technical Report 1009.2260, arXiv, September 2010:
pdf,
ps.
This article extends its predecessor (which is available
here);
the models in the new paper involve parameter estimation.
- Mark Tygert,
"Analogues for Bessel functions of the Christoffel-Darboux identity,"
Technical Report 1351, Yale University, Department of Computer Science,
March 2006:
pdf,
ps.
Many thanks to Professor F. W. J. Olver of the University of Maryland
for pointing out formula 57.21.1
in E. R. Hansen's A Table of Series and Products,
which provides a more general formulation of one of the analogues
(thus obviating the need for publishing this technical report).