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Volume 2006 |Article ID 078375 | https://doi.org/10.1155/JAMDS/2006/78375

C. G. Qiao, G. R. Wood, C. D. Lai, D. W. Luo, "Comparison of two common estimators of the ratio of the means of independent normal variables in agricultural research", Advances in Decision Sciences, vol. 2006, Article ID 078375, 14 pages, 2006. https://doi.org/10.1155/JAMDS/2006/78375

Comparison of two common estimators of the ratio of the means of independent normal variables in agricultural research

Received26 Oct 2005
Revised24 May 2006
Accepted05 Jun 2006
Published18 Sep 2006

Abstract

This paper addresses the problem of estimating the ratio of the means of independent normal variables in agricultural research. The first part of the research examines the distributional properties of the ratio of independent normal variables, both theoretically and using simulation. The second part of the research evaluates the relative merits of two common estimators of the ratio of the means of independent normal variables in agricultural research, an arithmetic average and a weighted average, via simulation experiments using normal distributions. The results are then tested using research data from rice breeding multi-environment trials in Jilin Province, China, in 1994. These data are used to demonstrate the diagnostic approach developed for assessing the “safe” use of the arithmetic and the weighted average methods for estimating the ratio of the means of independent normal variables.

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Copyright © 2006 C. G. Qiao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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