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
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.
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.