RELATIONSHIPS AMONG ASSUMPTIONS OF THE METHOD OF LIMITS AND THE METHOD OF CONSTANT STIMULI

The phi-gamma hypothesis is a special case of the general hypothesis of a cumulative symmetrical distribution. Assuming any cumulative symmetrical distribution (a) the descending method of limits (DML) threshold distribution is asymmetrical and is a mirror image of the ascending method of limits (AM...

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Bibliographic Details
Main Author: Herrick,Robert M.
Other Authors: NAVAL AIR DEVELOPMENT CENTER JOHNSVILLE PA AEROSPACE MEDICAL RESEARCH DEPT
Format: Text
Language:English
Published: 1968
Subjects:
Psychology
(*PSYCHOPHYSICS
STATISTICAL ANALYSIS)
BEHAVIOR
STATISTICAL DISTRIBUTIONS
PROBABILITY
MATHEMATICAL MODELS
CURVE FITTING
SIMULATION
RESPONSE
DML
Online Access:http://www.dtic.mil/docs/citations/AD0671810
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=AD0671810
Description
Summary:The phi-gamma hypothesis is a special case of the general hypothesis of a cumulative symmetrical distribution. Assuming any cumulative symmetrical distribution (a) the descending method of limits (DML) threshold distribution is asymmetrical and is a mirror image of the ascending method of limits (AML) distribution; (b) the combined method of limits (CML) distributions is symmetrical; (c) with the subscripts A, D, and C referring to AML, DML, and CML distributions: M sub A < M sub C < M sub D; sigma sub A = sigma sub D; sigma sub C > sigma sub A; (d) as step size increases: M sub A increases, M sub D decreases, M sub C remains constant, sigma sub A and sigma sub D increase, sigma sub C first decreases and then increases; (e) the mean threshold of the method of constant stimuli equals M sub C. These and other predictions are supported experimentally. (Author)

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