Advanced SearchSearch Tips
A Note on Sometimes Pooling Rules
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
A Note on Sometimes Pooling Rules
Lim, Yong-Bin;
  PDF(new window)
In engineering experiments, 'Sometimes Pooling Rules' to remove insignificant terms from the model has been implemented to increase the power of detecting the small size of main effects when the preliminary test of higher order interaction effects declare to be insignificant. In this note, we review the sometimes pooling rules in the literature and also study the probability of the length of 95% confidence interval of of the comparison of two independent samples being shorter than that of the paired comparison at the various level of significance of the preliminary test and the insufficient number of blocks n in [2,13], given the block effects being pooled to the error term. This study supports that the sometimes pooling results in the power improvement of the main effects.
Sometimes pooling rules;level of significance of the preliminary test;comparison of two independent samples;paired comparison;
 Cited by
김태민, 김상부 (2006). 쌍체비교와 독립비교에 대한 통계적인 고찰, <응용통계연구>, 19, 231-240

이연수, 임용빈, 김재주 (1999). 혼합모형에서의 실험의 크기에 관한 연구, <응용통계연구>, 12, 593-603

Bozivich, H., Bancroft, T. A. and Hartley, H. O. (1956). Power of analysis of variance test procedures for certain incompletely specified models, I, The Annals of Mathematical Statistics, 27, 1017-1043 crossref(new window)

Box, G. E. P. and Wilson, K. B. (1951). On the experimental attainment of optimum conditions, Journal of the Royal Statistical Society. Series B, 13, 1-45

Fisher, R. A. (1935). The Design of Experiments, Oliver and Boyd, Edinburg

Lorenzen, T. J. and Anderson, V. L. (1993). Design of Experiments, Marcel Dekker, New York

Mead, R., Bancroft, T. A. and Han, C. (1975). Power of analysis of variance test procedures for incompletely specified fixed models, The Annals of Statistics, 3, 797-808 crossref(new window)