Pairwise comparison scale extension using core linking sets

Pairwise comparisons can be used to equate two sets of educational performances. In this article, a simple method for the joint scaling of two or more sets of assessment performances is described and illustrated. This method is applicable where a scale of student abilities has already been formed, a...

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Main Authors: Stephen Humphry, Ken Bredemeyer
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-09-01
Series:Frontiers in Education
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/feduc.2022.826742/full
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author Stephen Humphry
Ken Bredemeyer
author_facet Stephen Humphry
Ken Bredemeyer
author_sort Stephen Humphry
collection DOAJ
description Pairwise comparisons can be used to equate two sets of educational performances. In this article, a simple method for the joint scaling of two or more sets of assessment performances is described and illustrated. This method is applicable where a scale of student abilities has already been formed, and the scale is to be extended to include additional performances. It requires a subset of already scaled performances, which is designated as a core linking set for the purpose of scale extension. The article illustrates the application of the method to construct a scale with a larger range of latent abilities, using fewer additional comparisons compared to the standard method of pairwise comparisons. The design differs from standard pairwise comparisons in the way performances are paired. The method of pairing performances can also be used to efficiently place individual performances on an existing scale.
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spelling doaj.art-f5e2d247776146c8a100c9e683590e802022-12-22T03:12:07ZengFrontiers Media S.A.Frontiers in Education2504-284X2022-09-01710.3389/feduc.2022.826742826742Pairwise comparison scale extension using core linking setsStephen HumphryKen BredemeyerPairwise comparisons can be used to equate two sets of educational performances. In this article, a simple method for the joint scaling of two or more sets of assessment performances is described and illustrated. This method is applicable where a scale of student abilities has already been formed, and the scale is to be extended to include additional performances. It requires a subset of already scaled performances, which is designated as a core linking set for the purpose of scale extension. The article illustrates the application of the method to construct a scale with a larger range of latent abilities, using fewer additional comparisons compared to the standard method of pairwise comparisons. The design differs from standard pairwise comparisons in the way performances are paired. The method of pairing performances can also be used to efficiently place individual performances on an existing scale.https://www.frontiersin.org/articles/10.3389/feduc.2022.826742/fullpairwise comparisoncomparative judgmentlinking set methodequatingefficiency
spellingShingle Stephen Humphry
Ken Bredemeyer
Pairwise comparison scale extension using core linking sets
Frontiers in Education
pairwise comparison
comparative judgment
linking set method
equating
efficiency
title Pairwise comparison scale extension using core linking sets
title_full Pairwise comparison scale extension using core linking sets
title_fullStr Pairwise comparison scale extension using core linking sets
title_full_unstemmed Pairwise comparison scale extension using core linking sets
title_short Pairwise comparison scale extension using core linking sets
title_sort pairwise comparison scale extension using core linking sets
topic pairwise comparison
comparative judgment
linking set method
equating
efficiency
url https://www.frontiersin.org/articles/10.3389/feduc.2022.826742/full
work_keys_str_mv AT stephenhumphry pairwisecomparisonscaleextensionusingcorelinkingsets
AT kenbredemeyer pairwisecomparisonscaleextensionusingcorelinkingsets