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The Mathematical Foundations of Classical Test Theory: An Axiomatic Approach, II

Author(s):
Koutsopoulos, C. J.
Publication Year:
1964
Report Number:
RM-64-03
Source:
ETS Research Memorandum
Document Type:
Report
Page Count:
50
Subject/Key Words:
Mathematical Models, Test Items, Test Reliability, Test Theory, Test Validity

Abstract

This paper is a continuation of the work begun in "Mathematical Foundations of Classical Test Theory: An Axiomatic Approach, (RB-62-17). The notions of subtest and item (non-0-1 as well as 0-1) are defined in terms of the concepts introduced in RB-62-17. The bulk of the paper is concerned with the determination, based on a single trial, of lower bounds to the coefficient of reliability of a test. Six such bounds are established and compared. A short section on bounds to validity coefficients is included. The paper concludes with a somewhat more informal discussion of the classical concept of item.

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