Finite populations; foundation for inference?
William A. Thompson · Communications in Statistics · 1973
The theme of this paper is the extent to which the assumptions of the general linear hypothesis are justified by purposeful random sampling from a finite population. For three elementary models it is found that the square of the sample size divided by the population size must approach zero to insure substantial agreement between the two approaches. Usually, when the asymptotic condition is not fulfilled only symmetry among the random variables remains. But even symmetry is not invariably present; it is lacking for the stratified one‐way classification