The Measurement of Association

Paul W. Mielke, Jr. is Emeritus Professor at Colorado State University and a fellow of the American Statistical Association. He received a B.A. in mathematics from the University of Minnesota before training in meteorology at the University of Chicago for the U.S. Air Force. He earned an M.A. in mathematics from the University of Arizona and a Ph.D. in biostatistics from the University of Minnesota. In 1963 he joined the Department of Mathematics and Statistics at Colorado State University, retiring in 2002. His research interests are in permutation methods, meteorology, and environmental issues. Kenneth J. Berry is Professor of Sociology at Colorado State University. He received a B.A. in sociology from Kalamazoo College and a Ph.D. in sociology from the University of Oregon. He was employed by the University of Buffalo for four years before joining the Department of Sociology at Colorado State University in 1970, where he remains. His research interests are in non-parametrictests and measures, permutation methods, and statistical inference. Janis E. Johnston works for the U.S. Government as a data analyst. She received B.S. degrees in mathematics and natural science from the University of Wyoming, her M.A. in sociology from the University of Wyoming, and her Ph.D. from Colorado State University. From 2007 to 2009 she was an American Association for the Advancement of Science, Science & Technology fellow and began government service after the fellowship. Her research interests are in permutation methods, statistical inference, and policy analysis.

1 Introduction.- 2 Permutation Statistical Methods.- 3 Nominal Level Variables, I.- 4 Nominal Level Variables, II.- 5 Ordinal Level Variables, I.- 6 Ordinal Level Variables, II.- 7 Interval-level Variables.- 8 Mixed-level Variables.- 9 Fourfold Contingency Tables, I.- 10 Fourfold Contingency Tables, II.- Epilogue.- References.- Index.