Examination of Covariance Structures for Experimental Design with Repeated Measure
American Journal of Theoretical and Applied Statistics
Volume 9, Issue 3, May 2020, Pages: 63-73
Received: Apr. 3, 2020; Accepted: May 3, 2020; Published: May 27, 2020
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Authors
Abraham Okolo, Department of Statistics and Operations Research, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
Saidu Sauta Abdulkadir, Department of Statistics and Operations Research, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
Ikeme John Dike, Department of Statistics and Operations Research, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria
Abubakar Adamu, Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria
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Abstract
This research examine different covariance structures for experimental design with repeated measure data. Multiple responses taken sequentially from same experimental unit at different periods of time for quantitative data are referred as Repeated Measurement. Weight of 105 broilers in grams for six group obtained from jewel farm Gombe were used as research materials/data. Eleven different covariance structures including the modified one (UN, UNC, TOEP, TOEPH, ANTE(1), AR(1), ARH(1), CS, CSH, HF and ARFA(1)) were examined. AIC, AICC, BIC, HQIC, CAIC and the modified criteria ASIC were used to examine covariance structures and bring the best among them using the named information criteria. The result shows that sphericity assumptions was violated a such the best covariance structure was ARH(1) while the least structure was CSH. Also on the basis of goodness of fit criteria HQIC was found to be the best information criteria. When examined the best information criteria and covariance structure with the modified ones, the modified ASIC and ARFA(1) found to be the best. In conclusion examine different covariance structures with repeated measure data give a very good result defending on the kind of data.
Keywords
Covariance Structures. Experimental Design, Repeated Measures, Information Criteria, Sphericity Test
To cite this article
Abraham Okolo, Saidu Sauta Abdulkadir, Ikeme John Dike, Abubakar Adamu, Examination of Covariance Structures for Experimental Design with Repeated Measure, American Journal of Theoretical and Applied Statistics. Vol. 9, No. 3, 2020, pp. 63-73. doi: 10.11648/j.ajtas.20200903.16
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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