Estimable Functions Approach

2014 ◽  
pp. 106-129
Keyword(s):  
Estimable Functions

scholarly journals ANALYSES OF GENE FREQUENCIES

Genetics ◽  
1973 ◽  
Vol 74 (4) ◽  
pp. 679-700
Author(s):  
C Clark Cockerham
Keyword(s):  
Variance Components ◽  
Small Sample ◽  
Gene Frequencies ◽  
F Test ◽  
Estimable Functions ◽  
Intraclass Correlations ◽  
Different Types ◽  
Informational System ◽  
Tests Of Hypotheses

ABSTRACT Models of variance components and their intraclass correlational equivalences are developed for genes falling into various categories of subdivisions within a population. Estimable functions are elaborated demonstrating that intraclass correlations can be estimated only relative to that for the least related genes in the informational system. The effects of different types of subdivisions-and of ignoring them-on the parameters are demonstrated. Small sample estimators are formulated for all of the parameters by three different methods, including both a weighted and an unweighted method of analysis of the variation among subpopulations. How estimators change with assumptions about the parameters is illustrated. Various tests of hypotheses are outlined in X2 and F-test terminology. Discussed are factors which may affect the correlations and the manner in which their effects are manifest, hopefully in clarification of some of the misconceptions that have arisen in this connection.

A Simple Approach for Finding Estimable Functions in Linear Models

1991 ◽  
Vol 45 (1) ◽  
pp. 51 ◽  
Author(s):  
R. K. Elswick ◽  
Chris Gennings ◽  
Vernon M. Chinchilli ◽  
Kathryn S. Dawson
Keyword(s):  
Linear Models ◽  
Simple Approach ◽  
Estimable Functions
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