A STUDY ON FRACTIONAL POLYNOMIAL REGRESSION
A STUDY ON FRACTIONAL POLYNOMIAL REGRESSION
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Date
2015-06
Authors
MUHAMMAD, Musa Uba
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Abstract
This research work was carried out on fractional polynomial regression model, by fitting continuous covariates and grouped covariates. A new median algorithm method for grouping continuous covariate was proposed. A generalized linear model was fitted for the fractional polynomial using two different approaches on a set of experimental design data to study the effect of nitrogen fertilizer(x1) and manure(x2) on cowpea variety. When a proposed method by Royston and Altman was used, the algorithm for the selection of factors with significant effect converged at φ(1, 1).On the other hand, when the study applied ordinary fractional polynomial regression model, it was observed that, for fertilizer the algorithm for the selection of factors with significant effect converged at φ(x1, 3), for the manure, the algorithm for the selection of factors with significant effect converged at φ(x2, -2).
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A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA. IN PARTIAL FULFILLMENT OF THE REQUIMENT FOR THE AWARD OF A MASTER OF SCIENCE DEGREE IN STATISTICS, DEPARTMENT OF MATHEMATICS, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA. JUNE,
Keywords
FRACTIONAL,, POLYNOMIAL,, REGRESSION