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On Testing for the Degree of a Polynomial

Paul G. Hoel
Technometrics
Vol. 10, No. 4 (Nov., 1968), pp. 757-767
DOI: 10.2307/1267457
Stable URL: http://www.jstor.org/stable/1267457
Page Count: 11
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On Testing for the Degree of a Polynomial
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Abstract

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.

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