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:

1971-05-01

Pagination or Media Count:

250.0

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, Ysub TSup lambda Y sup lambda if lambda not 0, YSub TSup 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