Truth and consequences of ordinal differences in statistical distributions: toward a theory of hierarchical inference.

Abstract:

:A theory is presented that establishes a dominance hierarchy of potential distinctions (order relations) between two distributions. It is proposed that it is worthwhile for researchers to ascertain the strongest possible distinction, because all weaker distinctions are logically implied. Implications of the theory for hypothesis testing, theory construction, and scales of measurement are considered. Open problems for future research are outlined.

journal_name

Psychol Bull

journal_title

Psychological bulletin

authors

Townsend JT

doi

10.1037/0033-2909.108.3.551

subject

Has Abstract

pub_date

1990-11-01 00:00:00

pages

551-67

issue

3

eissn

0033-2909

issn

1939-1455

journal_volume

108

pub_type

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