Accession Number:

ADA101733

Title:

A Geometric Interpretation of Inferences Based on Ranks in the Linear Model.

Descriptive Note:

Technical rept.,

Corporate Author:

PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF STATISTICS

Personal Author(s):

• Hettmansperger,Thomas P.
• McKean,Joseph W.

Report Date:

1981-07-01

Pagination or Media Count:

42.0

Abstract:

Four different approaches to testing and estimation based on ranks are unified through the geometry of the linear model. The various tests are identified with various algebraically equivalent forms of the classified F-statistic. Small sample differences are investigated via a Monte Carlo study using both rank and signed rank tests. Author

Descriptors:

• *STATISTICAL TESTS
• *STATISTICAL SAMPLES
• *RANK ORDER STATISTICS
• MATHEMATICAL MODELS
• EXPERIMENTAL DATA
• MULTIVARIATE ANALYSIS
• MONTE CARLO METHOD
• ESTIMATES
• NONPARAMETRIC STATISTICS
• REGRESSION ANALYSIS
• APPROXIMATION(MATHEMATICS)
• LINEARITY
• TABLES(DATA)
• DISTRIBUTION FUNCTIONS
• ASYMPTOTIC NORMALITY

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE