The Construction and Analysis of Repeated Measurement Designs (RMD) using the Trial and Error Method

• Autorzy: Shakeel A. Mir , Immad A. Shah
• Języki publikacji: EN

Abstrakty

EN

Repeated measurement designs prove broadly applicable in almost all branches of biosciences, including agriculture, animal husbandry, botany, zoology. Unbiased estimators for elementary contrasts among direct and residual effects are obtainable in this class of designs, which is considered their important property. In this paper, an attempt was made to provide a new method of overcoming a drawback in the construction method developed by Afsarinejad (1983), where one or more treatments may occur more than once in certain sequences causing the constructed designs to no longer remain uniform in the examined periods. Nine designs were constructed and presented jointly with their corresponding mathematical analyses. (original abstract)

Słowa kluczowe

EN

Estimators; Experimental analysis; Dynamical systems; Mathematical models

PL

Estymatory; Analiza eksperymentalna; Układy dynamiczne; Modele matematyczne

• Czasopismo: Statistics in Transition
• Rocznik: 2021
• Tom: 22
• Numer: nr 1
• Strony: 131--144

Twórcy

autor

Shakeel A. Mir

• SKUAST-Kashmir, India

autor

Immad A. Shah

• SKUAST-Kashmir, India

Bibliografia

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• WESTLAKE, W. J., (1974). The use of balanced incomplete block designs for experiments involving sequences of treatments. Biometrika, 39, pp. 32-48.
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• HEDAYAT, A., AFSARINEJAD, K., (1978). Repeated measurements design II, The Annals of Statistics, 6(3), pp. 619-628.
• PATTERSON, H. D., (1952). The construction of balanced designs for experiments involving sequences of treatments, Biometrika, 39, pp. 32-48.
• WILLIAMS, E. J., (1949). Experimental designs balanced for the estimation of residual effects of treatments, Australian J. Sci. Res. A., 2, pp. 149-168.
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Identyfikatory

DOI

10.21307/stattrans-2021-007