publication . Article . Other literature type . 1969

Analysis of categorical data by linear models.

Grizzle, J. E.; C Frank Starmer; Koch, G. G.;
  • Published: 01 Sep 1969 Journal: Biometrics, volume 25, page 489 (issn: 0006-341X, Copyright policy)
  • Publisher: JSTOR
Assume there are ni., i = 1, 2, *--, s, samples from s multinomial distributions each having r categories of response. Then define any u functions of the unknown true cell probabilities {7rij: i = 1, 2, * , s; j = 1, 2, * , r, where E jrij l 1 } that have derivatives up to the second order with respect to 7rij, and for which the matrix of first derivatives is of rank u. A general noniterative procedure is described for fitting these functions to a linear model, for testing the goodness-of-fit of the model, and for testing hypotheses about the parameters in the linear model. The special cases of linear functions and logarithmic functions of the 7rin are developed...
free text keywords: General Biochemistry, Genetics and Molecular Biology, Statistics and Probability, General Immunology and Microbiology, Applied Mathematics, General Agricultural and Biological Sciences, General Medicine
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