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The Use of Orthogonal Polynomials for Trend Analysis:

The Use of Orthogonal Polynomials for Trend Analysis: American Educational Research Journal Summer 1973, Vol 10, No. 3, Pp. 241-244 The Use of Orthogonal Polynomials for Trend Analysis LAWRENCE J. HUBERT University of Wisconsin One of the methods of data analysis available to educational researchers and psychologists is trend analysis within the statistical framework of analysis of variance. In particular, if the set of treatments administered to different groups of subjects can be ordered along a continuum by means of a numerical measure, it may be substantively important to investigate the exact trend or relationship between this measure and the dependent variable. A typical example would be in experimentally manipulating the amount of study time on a particular topic and measuring the effect on retention. Within a larger context the discussion given below can be related directly to Mood's article (1971) on partitioning variance in regression models, even though the problem mentioned here is much more narrowly defined; some of the same concerns of orthogonality that arise in his presentation are relevant here as well. A number of authors have given the paradigms for trend analysis in their texts, including Hays (1963), Kirk (1968), and Winer (1962), but in all cases the approach is somewhat superficial and, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png American Educational Research Journal SAGE

The Use of Orthogonal Polynomials for Trend Analysis:

Hubert, Lawrence J.
American Educational Research Journal , Volume 10 (3): 4 – Nov 23, 2016
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References (8)

Publisher
SAGE
Copyright
Copyright © 2019 by American Educational Research Association
ISSN
0002-8312
eISSN
1935-1011
DOI
10.3102/00028312010003241
Publisher site
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Abstract

American Educational Research Journal Summer 1973, Vol 10, No. 3, Pp. 241-244 The Use of Orthogonal Polynomials for Trend Analysis LAWRENCE J. HUBERT University of Wisconsin One of the methods of data analysis available to educational researchers and psychologists is trend analysis within the statistical framework of analysis of variance. In particular, if the set of treatments administered to different groups of subjects can be ordered along a continuum by means of a numerical measure, it may be substantively important to investigate the exact trend or relationship between this measure and the dependent variable. A typical example would be in experimentally manipulating the amount of study time on a particular topic and measuring the effect on retention. Within a larger context the discussion given below can be related directly to Mood's article (1971) on partitioning variance in regression models, even though the problem mentioned here is much more narrowly defined; some of the same concerns of orthogonality that arise in his presentation are relevant here as well. A number of authors have given the paradigms for trend analysis in their texts, including Hays (1963), Kirk (1968), and Winer (1962), but in all cases the approach is somewhat superficial and,

Journal

American Educational Research Journal – SAGE

Published: Nov 23, 2016

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