Accession Number : AD0726719

Title :   Data Transformation in Two-Way Analysis of Variance.

Descriptive Note : Technical rept.,

Corporate Author : EDUCATIONAL TESTING SERVICE PRINCETON N J

Personal Author(s) : Schlesselman,James J.

Report Date : MAY 1971

Pagination or Media Count : 250

Abstract : One purpose of data transformation is to better satisfy the fundamental assumptions of statistical analysis by linear models: (a) Additivity; (b) Homogeneity of variance; (c) Normality. If the original data do not satisfy (a) - (c), a nonlinear transformation may improve approximation to these ideal conditions. This paper considers estimation of the parameter lambda of the family of power transformations, Y(sub T)(Sup lambda) = Y sup lambda if lambda not = 0, Y(Sub T)(Sup lambda) = log Y if lambda = 0 for data conforming to a replicated two-way crossed classification. (Author)

Descriptors :   (*STATISTICAL DATA, *ANALYSIS OF VARIANCE), TRANSFORMATIONS(MATHEMATICS), CONFIDENCE LIMITS, REGRESSION ANALYSIS, STATISTICAL DISTRIBUTIONS, APPROXIMATION(MATHEMATICS), ASYMPTOTIC SERIES, THESES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE