HIERARCHICAL POLYNOMIAL REGRESSION MODELS - CONSTRUCTIONS AND COMPARISONS

PRAMIT PANDIT1*, V. MANJUNATH2, K.N. KRISHNAMURTHY3
1Department of Agricultural Statistics, Applied Mathematics and Computer Science, University of Agricultural Sciences, Bengaluru, Karnataka, 560 065, India
2Department of Agricultural Statistics, Applied Mathematics and Computer Science, University of Agricultural Sciences, Bengaluru, Karnataka, 560 065, India
3Department of Agricultural Statistics, Applied Mathematics and Computer Science, University of Agricultural Sciences, Bengaluru, Karnataka, 560 065, India
* Corresponding Author : pramitpandit@gmail.com

Received : 15-09-2018     Accepted : 26-09-2018     Published : 30-09-2018
Volume : 10     Issue : 18       Pages : 7145 - 7146
Int J Agr Sci 10.18 (2018):7145-7146

Keywords : Construction of models, Hierarchical polynomial regression models, Forward selection method, Backward elimination method, Regression Models
Conflict of Interest : None declared
Acknowledgements/Funding : Author thankful to Department of Agricultural Statistics, Applied Mathematics and Computer Science, University of Agricultural Sciences, Bengaluru, Karnataka, 560 065, India
Author Contribution : All author equally contributed

Cite - MLA : PANDIT, PRAMIT, et al "HIERARCHICAL POLYNOMIAL REGRESSION MODELS - CONSTRUCTIONS AND COMPARISONS." International Journal of Agriculture Sciences 10.18 (2018):7145-7146.

Cite - APA : PANDIT, PRAMIT, MANJUNATH, V., KRISHNAMURTHY, K.N. (2018). HIERARCHICAL POLYNOMIAL REGRESSION MODELS - CONSTRUCTIONS AND COMPARISONS. International Journal of Agriculture Sciences, 10 (18), 7145-7146.

Cite - Chicago : PANDIT, PRAMIT, V. MANJUNATH, and K.N. KRISHNAMURTHY. "HIERARCHICAL POLYNOMIAL REGRESSION MODELS - CONSTRUCTIONS AND COMPARISONS." International Journal of Agriculture Sciences 10, no. 18 (2018):7145-7146.

Copyright : © 2018, PRAMIT PANDIT, et al, Published by Bioinfo Publications. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution and reproduction in any medium, provided the original author and source are credited.

Abstract

A model is called to be a hierarchical polynomial regression model if all the lower order terms are present along with the highest order term(s). These models plays very significant role for the purpose of reparameterizations, Simplification in writing computer programs for polynomial model development and restricting our focus on few well-formulated models instead of all possible regression models. By the methods of stepwise regressions, backward elimination and forward selection, hierarchical polynomial regression models have been constructed.

References

1. Montgomery D.C., Peck E.A. and Vining G.G. (2017) Introduction to Linear Regression Analysis (3rd ed.): Wiley India Pvt. Ltd.
2. Griepentrog G.L., Ryan J.M. and Smith L.D. (1982) The American Statistician, 36, 171- 174.
3. Peixoto J.L. (1986) Communications in Statistics-Theory and Methods, 15,
4. 1957-1973.
5. Peixoto J. L. and Diaz J. (1966) Journal of the Inter-American
6. Statistical Institute, 48(150-151),175-210.
7. Peixoto J.L. (1987) The American Statistician, 41(4), 311-313.
8. Peixoto J.L. (1990) The American Statistician, 44(1), 26-30.