Hostname: page-component-f7d5f74f5-qtg9w Total loading time: 0 Render date: 2023-10-04T08:36:35.243Z Has data issue: false Feature Flags: { "corePageComponentGetUserInfoFromSharedSession": true, "coreDisableEcommerce": false, "coreDisableSocialShare": false, "coreDisableEcommerceForArticlePurchase": false, "coreDisableEcommerceForBookPurchase": false, "coreDisableEcommerceForElementPurchase": false, "coreUseNewShare": true, "useRatesEcommerce": true } hasContentIssue false

XXIII.—On Problems connected with Item Selection and Test Construction

Published online by Cambridge University Press:  14 February 2012

D. N. Lawley
Moray House, University of Edinburgh


9. A formula is adopted which gives the probability of an individual of given ability passing a test item in terms of two quantities constant for that item. A method of estimating these two constants is given. Making certain assumptions concerning the items composing a test, formula? are then derived giving the expected value and the standard error of the test score of any person. It is shown that there is a certain reciprocity between persons and items, and corresponding formula? are given for the item scores. Finally, the results are applied to actual data obtained on a Moray House intelligence test, an estimate being made of the reliability of the test.

In conclusion I should like to thank Professor Godfrey H. Thomson for his help and valuable criticism in connection with this paper. I should also like to take this opportunity of thanking the Carnegie Trust for the Universities of Scotland for grants to cover the cost of the setting and printing of mathematical formula? in two papers previously published in the Society's Proceedings.

Research Article
Copyright © Royal Society of Edinburgh 1943

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 to Literature

Ferguson, G. A., 1942. “Item Selection by the Constant Process,” Psychometrika, vol. vii, pp. 1929.CrossRefGoogle Scholar
Pearson, K., 1930. Tables for Statisticians and Biometricians, Part I, Cambridge University Press, 3rd ed., pp. 4251.Google Scholar
Walker, D. A., 1931. “Answer-pattern and Score-scatter in Tests and Examinations,” Brit.Journ. Psychol., vol. xxii, pp. 7386.Google Scholar
Walker, D. A., 1936. “Answer-pattern and Score-scatter in Tests and Examinations,” Brit.Journ. Psychol., vol. xxvi, pp. 301308.Google Scholar
Walker, D. A., 1940. “Answer-pattern and Score-scatter in Tests and Examinations,” Brit.Journ. Psychol., vol. xxx, pp. 248260.Google Scholar