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Relationer mellan biseriala diskriminationsindex
Umeå University, Faculty of Social Sciences, Department of Education.
1971 (Swedish)Report (Other academic)
Abstract [sv]

I föreliggande undersökning har följande problem behandlats:

(1) Relationer mellan olika index för beräkning av biserial korrelation.

(2) Testlängdens inverkan på de index, som behandlats under (1).

Vid beräkning av diskriminationsindex talade resultaten för användandet av den koefficient, som uttrycker sambandet mellan respektive uppgift och den generella faktorn, som mäts av totaltestet, förutsatt att de antaganden som gäller för biserial korrelation kan anses vara uppfyllda.

Den överskattning man fick då okorrigerad koefficient beräknades relativt då ovan nämnda koefficient beräknades var mindre än .10 vid 20 uppgifter. Vid 40 uppgifter förelåg samma relation mellan okorrigerad koefficient och den koefficient, som uttrycker sambandet mellan respektive uppgift och summan av de återstående uppgifterna.

Abstract [en]

In the present study the following problems have been dealt with.

(1) Relations between different indices when estimating bi-serial correlation.

(2) The effect of the length of the test on the indices dealt with under (1).

When estimating the discrimination indices the results supported the use of the coefficient which expresses the correlation between every item and the general factor, measured by the total test, provided that the assumptions required for biserial correlation can be made.

The overestimation received when calculating the uncorrected coefficient was lower than .10 in a test of 20 items compared with using the coefficient mentioned above. With 40 items there was the same relation between the uncorrected coefficient and the coefficient expressing the correlation between every item and the remaining items.

Place, publisher, year, edition, pages
Umeå: Umeå universitet och Lärarhögskolan , 1971. , 14 p.
, Pedagogiska rapporter Umeå, ISSN 0348-9388 ; 16
National Category
Pedagogy Mathematics
URN: urn:nbn:se:umu:diva-68287OAI: diva2:616234
Available from: 2013-04-15 Created: 2013-04-15 Last updated: 2013-04-18Bibliographically approved
In thesis
1. Mätproblem i norm- och kriterierelaterade prov: några analyser och försök med tonvikt på reliabilitets- och diskriminationsmått
Open this publication in new window or tab >>Mätproblem i norm- och kriterierelaterade prov: några analyser och försök med tonvikt på reliabilitets- och diskriminationsmått
1973 (Swedish)Doctoral thesis, comprehensive summary (Other academic)
Alternative title[en]
Problems of measurement in norm- and criterionreferenced tests : some analyses and investigations with emphasis on reliability and discrimination measures
Abstract [en]

The present report is a summary discussion of a number of studies in connection with the following problemas a) analysis and empirical investigations of some test theoretical formulae and principles, b) differential scoring of multiple-choice questions and c) criterion-referenced tests: theoretical and empirical implications. In studies associated with the first problem is shown how some test theoretical formulae and principles can be derived from the information in the inter-item-covariancs matrix as well as how this information can be used to explain empirically found relations. In the latter respect the standard error of measurement and various biserial correlation techniques are dealt with. Studies carriëd out within the second field of problems account for reliability and validity effects with differential scoring of multiple-choice questions. A priori as well as empirical weight systems have been used. Systematically ordered alternatives gave higher reliability with differential scoring compared to conventional scoring. At the same time, however, the dimensionality of the test changed with negative validity effects as a consequence. The trends of the results were the same for the two types of weight systems. In connection with the third field of problems the development of criterion-referenced tests, their qualities and restrictions are discussed. Three aspects are quite closely penetrated, viz. the defining of objectives, the homogeneity and the different cutting-scores of the tests. Furthermore theoretical as well as empirical problems of measurement techniques when evaluating data from criterion-referenced measurement are dealt with. In the empirical study especially low and moderate correlations between norm- and criterion-referenced discrimination indices were received, as well as between different criterion-referenced discrimination indices. Moreover, the results indicated that increased vali- . dity defined in terms of the difference between pre- and post-tests does not necessarily imply increased reliability when placing subjects above and below a fixed cutting-score.

Place, publisher, year, edition, pages
Umeå: Umeå universitet, 1973. 26 p.
Akademiska avhandlingar vid Pedagogiska institutionen, Umeå universitet, ISSN 0281-6768 ; 4
, Pedagogiska rapporter Umeå, 35
National Category
urn:nbn:se:umu:diva-16620 (URN)
Available from: 2007-10-07 Created: 2007-10-07 Last updated: 2013-04-18Bibliographically approved

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