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Residuals and influence in regression by R. Dennis Cook PDF

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By R. Dennis Cook

ISBN-10: 041224280X

ISBN-13: 9780412242809

Proprietor identify crossed out on first finish web page. mild foxing to finish pages and pastedown. moderate shelf and aspect put on. Pages are fresh and binding is tight

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For a simple example, we use integers for the {mu}, and we can get them by selecting Cu ----- 60. The {niii} are given in the last column. If we wish to construct values for A i instead of rn1 1 , we sum the values for eut + U2 +U12 and define e" as the reciprocal of this sum to ensure that the {pii } sum to 1. Extension of this construction process to larger tables follows the same procedure. Such dummy tables of known structure are used for checks of computing procedures, empirical investigations of the effects of collapsing tables, and theoretical investigations utilizing Monte Carlo methods.

In general, for s dimensions the log-linear model has 2s u-terms. For the saturated s-dimensional model we have s single-factor u-terms, s — 1 of them from the first s — I dimensions and a term representing deviations from the overall mean due to the last variable to be added. All possible combinations Structural Models for Counted Data 43 of two variables at a time give () two-factor terms. Proceeding thus we find that in general the number of r-factor terms is (sr ) for r --= O, . s if we define (;) as 1.

3 = 0 by testing for p 12 = 0. 4-1 says that the term u 12 in the three-dimensional log-linear model is the same as the u l 2 -term in the log-linear model for the two-dimensional table {m1i+ }, provided that u 13 or u23 = 0 in the three-dimensional model. 4-2, analyzed by Bishop [1969], have been used for class exercises at the Harvard School of Public Health, but the original source is unfortunately lost. They relate to the survival of infants (variable 1) according to the amount of prenatal care received by the mothers (variable 2).

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Residuals and influence in regression by R. Dennis Cook

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