Asymptotic relative efficiencies of the rank transformation procedure in randomized complete block designs
Abstract
Rank tests provide an alternative to the usual normal theory F-test for the analysis of data from randomized complete blocks experiments. Two such rank tests are the Friedman test which employs the method of n-rankings and the rank transformation procedure which employs an overall ranking of the data. In this paper the asymptotic efficiency of the rank transformation procedure is developed and compared to the asymptotic efficiencies of Friedman's test and the usual F-test. These efficiencies are developed using contiguous alternatives that are shifts in location. Comparisons among the three tests are made using normal, Student, and double exponential within block distributions. Block effects are introduced by drawing location shifts from normal and uniform distributions and, also, by drawing scale changes from an inverted gamma densities. The asymptotic relative efficiencies were evaluated using numerical procedures.
- Authors:
- Publication Date:
- Research Org.:
- Texas Tech Univ., Lubbock (USA); Sandia National Labs., Albuquerque, NM (USA)
- OSTI Identifier:
- 6869564
- Report Number(s):
- SAND-84-0479C; CONF-840849-1
ON: DE84010600
- DOE Contract Number:
- AC04-76DP00789
- Resource Type:
- Conference
- Resource Relation:
- Conference: Annual meeting of the American Statistical Association (ASA), Philadelphia, PA, USA, 12 Aug 1984; Other Information: Portions are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; STATISTICS; TRANSFORMATIONS; ASYMPTOTIC SOLUTIONS; EFFICIENCY; NUMERICAL SOLUTION; MATHEMATICS; 990200* - Mathematics & Computers
Citation Formats
Hora, S C, and Iman, R L. Asymptotic relative efficiencies of the rank transformation procedure in randomized complete block designs. United States: N. p., 1984.
Web.
Hora, S C, & Iman, R L. Asymptotic relative efficiencies of the rank transformation procedure in randomized complete block designs. United States.
Hora, S C, and Iman, R L. 1984.
"Asymptotic relative efficiencies of the rank transformation procedure in randomized complete block designs". United States.
@article{osti_6869564,
title = {Asymptotic relative efficiencies of the rank transformation procedure in randomized complete block designs},
author = {Hora, S C and Iman, R L},
abstractNote = {Rank tests provide an alternative to the usual normal theory F-test for the analysis of data from randomized complete blocks experiments. Two such rank tests are the Friedman test which employs the method of n-rankings and the rank transformation procedure which employs an overall ranking of the data. In this paper the asymptotic efficiency of the rank transformation procedure is developed and compared to the asymptotic efficiencies of Friedman's test and the usual F-test. These efficiencies are developed using contiguous alternatives that are shifts in location. Comparisons among the three tests are made using normal, Student, and double exponential within block distributions. Block effects are introduced by drawing location shifts from normal and uniform distributions and, also, by drawing scale changes from an inverted gamma densities. The asymptotic relative efficiencies were evaluated using numerical procedures.},
doi = {},
url = {https://www.osti.gov/biblio/6869564},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1984},
month = {Sun Jan 01 00:00:00 EST 1984}
}