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โœฆ   LIBER   โœฆ

A BASIC program for orthogonal polynomials and retrieval of regression coefficients for original model

โœ Scribed by Hugh Tyson; Mary Ann Fieldes

Publisher
Elsevier Science
Year
1982
Weight
352 KB
Volume
15
Category
Article
ISSN
0010-468X

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โœฆ Synopsis

A fast, short method for calculating orthogonal polynomials has been programmed in BASIC. This is combined with the retrieval of b coefficients for the original, non-orthogonal model in, for example, a curvilinear regression. The program may be used alone, or in conjunction with a package of BASIC programs for weighted least-squares solutions, to which it forms an update. Transformation of the columns of an X, or design matrix, to orthogonal vectors can detect linear dependence among the columns, as well as supplying orthogonal polynomials for regression situations with unequal increments in x values, the values of the independent variable. Retrieval of the b coefficients for the original X matrix prior to transformation allows the user to insert any x values to obtain the corresponding predicted y (dependent variable) values.

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