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On Testing for the Degree of a Polynomial
Paul G. Hoel
Vol. 10, No. 4 (Nov., 1968), pp. 757-767
Published by: Taylor & Francis, Ltd. on behalf of American Statistical Association and American Society for Quality
Stable URL: http://www.jstor.org/stable/1267457
Page Count: 11
You can always find the topics here!Topics: Polynomials, Degrees of polynomials, Error rates, Mathematical extrapolation, Zero, Regression analysis, False negative errors, Canonical forms, Point estimators
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Two methods are presented for deciding upon the proper degree of a polynomial regression function. One is based on a sequential F test and the other uses a two sample procedure. Both methods assume that the classical regression model is applicable. These methods enable one to realize desired guarantees against choosing either too small or too large a degree, which is not true for current fixed size sample methods.
Technometrics © 1968 American Statistical Association