Mary Phipps, Malcolm Quine's A Primer of Statistics PDF

By Mary Phipps, Malcolm Quine

ISBN-10: 1740096266

ISBN-13: 9781740096263

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NORMALITY, RANDOM EFFECTS AND ML b. — i. 37 Balanced data Likelihood Balanced data have HJ = n V i. , 1992, p. 80) to involve the familiar sums of squares for classes and error, respectively, in the usual analysis of variance of data from a 1-way classification. Further simplification comes from defining so that / is then Introducing A in place of (72+ncr2 simplifies the ML estimation process. Then ML yields estimators of cr2 and cr2 through the standard property of ML estimation that the ML estimator of a function of parameters is that same function of ML estimators of the parameters.

7a-ii) estimator. 2c) is left to Chapter 6 wherein a general equation is given for REML estimation of variances. And exercises in that chapter require using that general equation to obtain results for some simple cases such as those here. 1. NORMALITY AND FIXED EFFECTS 31 Setting these equal to zero give the equations The latter equation is redundant since it equals the sum of each of the former equations multiplied by its n^. Hence there is no unique solution to the equations. But we can get a solution by placing a constraint on the di.

1) it is for N = YZLi n». Then The derivatives are 30 CHAPTER 2. 2b-iii), namely, —oo < n < oo and 0 <

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A Primer of Statistics by Mary Phipps, Malcolm Quine


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