A comparison of estimators of the degree of insect control
Titel:
A comparison of estimators of the degree of insect control
Auteur:
Schaalje, G. B. Charnetski, W. A. Johnson, D. L.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 15 (1986) nr. 4 pagina's 1065-1086
Jaar:
1986
Inhoud:
The current estimator of the degree of insect control by an insecticide in a field experiment laid out in randomized blocks is equal to one minus the cross-product ratio of a two way table of total insect counts over blocks. Since much work has been done on estimation of the common odds ratio of a number of strata in medical studies, a series of Monte Carlo studies was performed to investigate the possible use of these estimators and their standard errors in estimating the common degree of inject control of a number of blocks. Maximum likelihood, Mantel-Haenszel, and empirical logit estimators were evaluated and compared with back-transformed means over blocks, of cross-product ratios on the arithmetic, logarithmic, and arcsine scales. Maximum likelihood and Mantel-Haenszel estimators had the smallest mean squared errors, but their standard error estimates were only appropriate when sampling distributions were approximately Poisson and there was little heterogeneity among plots within blocks in the natural rates of population change.