Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-01-08T12:16:38.229Z Has data issue: false hasContentIssue false
  • English
  • Français

Sampling Theory in Item Analysis

Published online by Cambridge University Press:  01 January 2025

Walter W. Merrill Jr.
Get access Rights & Permissions [Opens in a new window]

Abstract

Since item values obtained by item analysis procedures are not always stable from one situation to another, it follows that selection of items for validity or difficulty is sometimes useless. An application of Chi Square to testing homogeneity of item values is made, in the case of the UL method, and illustrative data are presented. A method of applying sampling theory to Horst's maximizing function is outlined, as illustrative of author's observation that the results of item analysis by any of various methods may be similarly tested.

Type
Original Paper
Information
Psychometrika , Volume 2 , Issue 4 , December 1937 , pp. 215 - 223
Copyright
Copyright © 1937 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Fisher, R. A. Statistical Methods for Research Workers. London, Oliver and Boyd, 1934. Pages 110-111.

* Horst, Paul, “Item Selection by Means of a Maximizing Function”, Psychametrika, 1936, 1, PP. 229-244.

* While this fact is very important in devising a test for significance, it is of little consequence in reference to the actual selection process as developed by Dr. Horst. Roughly speaking, he chooses large values of u and small values of v so that the effect of difficulty is nullified.

† For a method of testing the significance of a correlation coefficient, see R. A. Fisher, (op. cit.), page 179.