One Degree of Freedom for Nonadditivity: Applications with Generalized Linear Models and Link Functions
- 1 December 1989
- journal article
- research article
- Published by JSTOR
- Vol. 45 (4) , 1153-1162
- https://doi.org/10.2307/2531767
Abstract
The unreplicated two-way table of observations is considered with generalized linear models being fitted. The predictor, which is linear in row and column effects, is extended to include an interaction term that is multiplicative in the row and column effects and equivalent to the one-degree-of-freedom-for-nonadditivity term of Tukey (1949, Biometrics 5, 232-242). Various interpretations of the model are given, including the suggestion of a new link function. An example involving a 3 .times. 5 table of insect catch data is analyzed. Extensions are considered.This publication has 4 references indexed in Scilit:
- The analysis and interpretation of interactionsJournal of Applied Statistics, 1985
- Goodness of Link Tests for Generalized Linear ModelsJournal of the Royal Statistical Society Series C: Applied Statistics, 1980
- The analysis of adaptation in a plant-breeding programmeAustralian Journal of Agricultural Research, 1963
- Studies in crop variation. II. The manurial response of different potato varietiesThe Journal of Agricultural Science, 1923