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Keywords:

  • Analysis of variance;
  • design of experiments;
  • generalized linear mixed models;
  • generalized linear models;
  • hierarchical generalized linear models;
  • probit analysis;
  • QTL;
  • REML;
  • t-test;
  • variance components

Abstract

The collaborations between statisticians and biologists during the 100 years since AAB was founded have led to a very impressive list of statistical techniques, whose use now goes well beyond agriculture and biology. One example is the maximum likelihood methodology for probit analysis, arising from the collaboration between Sir Ronald Fisher and Chester Bliss. Others include analysis of variance, design of experiments, generalized linear models and the residual, or restricted, maximum likelihood (REML) algorithm for fitting unbalanced linear mixed models.