Simultaneous confidexce intervals in an extended crow iii curve model |
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Authors: | Yasunori Fujikoshi |
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Institution: | Department of Mathematics , Hiroshima University , Higashi, Hiroshima, 739-8526, Japan |
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Abstract: | This paper deals with estimation problems under an extended growth curve model with two hierarchical within-individuals design matrices. The model in cludes the one whose mean structure consists of polynomial growth curves with two different degrees. First we propose certain simple estimators of the mean and covariance parameters which are closely related to the MEE's. Some basic properties of the estimators are given. Simultaneous confidence intervals are constructed, based on the estimators, for each and both of two growth curves. We give asymptotic approximations for the corresponding critical points. A numerical example is also given. |
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