Journal article
Many-to-one comparison of nonlinear growth curves for Washington's Red Delicious apple
Journal of applied statistics, Vol.39(8), pp.1781-1795
08/01/2012
Handle:
https://hdl.handle.net/2376/117847
Abstract
In this article, we are interested in comparing growth curves for the Red Delicious apple in several locations to that of a reference site. Although such multiple comparisons are common for linear models, statistical techniques for nonlinear models are not prolific. We theoretically derive a test statistic, considering the issues of sample size and design points. Under equal sample sizes and same design points, our test statistic is based on the maximum of an equi-correlated multivariate chi-square distribution. Under unequal sample sizes and design points, we derive a general correlation structure, and then utilize the multivariate normal distribution to numerically compute critical points for the maximum of the multivariate chi-square. We apply this statistical technique to compare the growth of Red Delicious apples at six locations to a reference site in the state of Washington in 2009. Finally, we perform simulations to verify the performance of our proposed procedure for Type I error and marginal power. Our proposed method performs well in regard to both.
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Details
- Title
- Many-to-one comparison of nonlinear growth curves for Washington's Red Delicious apple
- Creators
- Nairanjana Dasgupta - Department of Statistics , Washington State UniversityMonte J Shaffer - McGuire Center for Entrepreneurship , University of Arizona
- Publication Details
- Journal of applied statistics, Vol.39(8), pp.1781-1795
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Taylor & Francis
- Identifiers
- 99900548342401842
- Language
- English
- Resource Type
- Journal article