Test Score Gap Robustness to Scaling : The Scale Transformation Command

Social scientists frequently rely on the cardinal comparability of test scores to assess achievement gaps between population subgroups and their evolution over time. This approach has been criticized due to the ordinal nature of test scores and th...

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Main Author: Chang, Andres Yi
Format: Working Paper
Language:English
Published: World Bank, Washington, DC 2019
Subjects:
Online Access:http://documents.worldbank.org/curated/en/942501566218257874/Test-Score-Gap-Robustness-to-Scaling-The-Scale-Transformation-Command
http://hdl.handle.net/10986/32311
id okr-10986-32311
recordtype oai_dc
spelling okr-10986-323112022-08-15T00:16:22Z Test Score Gap Robustness to Scaling : The Scale Transformation Command Chang, Andres Yi TEST SCORES STUDENT ACHIEVEMENT PSYCHOMETRICS STATA SCALE TRANSFORMATION ACHIEVEMENT GAPS EDUCATION MEASUREMENT ABILITY Social scientists frequently rely on the cardinal comparability of test scores to assess achievement gaps between population subgroups and their evolution over time. This approach has been criticized due to the ordinal nature of test scores and the sensibility of results to order-preserving transformations, which are theoretically plausible. Bond and Lang (2013) document the sensitivity of measured ability to scaling choices and develop a method to assess the robustness of changes in ability over time to scaling choices. This paper presents the scale transformation command, which expands the Bond and Lang method to more general cases and optimizes their algorithm to work with large data sets. The program assesses the robustness of an achievement gap between two subgroups to any arbitrary choice of scale by finding bounds for the original gap estimation. Additionally, the program finds scale transformations that are very likely and unlikely to benchmark against the results obtained. Finally, the program also allows the user to measure how much gap growth coefficients change when including controls in their specifications. 2019-08-22T15:55:45Z 2019-08-22T15:55:45Z 2019-08 Working Paper http://documents.worldbank.org/curated/en/942501566218257874/Test-Score-Gap-Robustness-to-Scaling-The-Scale-Transformation-Command http://hdl.handle.net/10986/32311 English Policy Research Working Paper;No. 8986 CC BY 3.0 IGO http://creativecommons.org/licenses/by/3.0/igo World Bank World Bank, Washington, DC Publications & Research Publications & Research :: Policy Research Working Paper
repository_type Digital Repository
institution_category Foreign Institution
institution Digital Repositories
building World Bank Open Knowledge Repository
collection World Bank
language English
topic TEST SCORES
STUDENT ACHIEVEMENT
PSYCHOMETRICS
STATA
SCALE TRANSFORMATION
ACHIEVEMENT GAPS
EDUCATION
MEASUREMENT
ABILITY
spellingShingle TEST SCORES
STUDENT ACHIEVEMENT
PSYCHOMETRICS
STATA
SCALE TRANSFORMATION
ACHIEVEMENT GAPS
EDUCATION
MEASUREMENT
ABILITY
Chang, Andres Yi
Test Score Gap Robustness to Scaling : The Scale Transformation Command
relation Policy Research Working Paper;No. 8986
description Social scientists frequently rely on the cardinal comparability of test scores to assess achievement gaps between population subgroups and their evolution over time. This approach has been criticized due to the ordinal nature of test scores and the sensibility of results to order-preserving transformations, which are theoretically plausible. Bond and Lang (2013) document the sensitivity of measured ability to scaling choices and develop a method to assess the robustness of changes in ability over time to scaling choices. This paper presents the scale transformation command, which expands the Bond and Lang method to more general cases and optimizes their algorithm to work with large data sets. The program assesses the robustness of an achievement gap between two subgroups to any arbitrary choice of scale by finding bounds for the original gap estimation. Additionally, the program finds scale transformations that are very likely and unlikely to benchmark against the results obtained. Finally, the program also allows the user to measure how much gap growth coefficients change when including controls in their specifications.
format Working Paper
author Chang, Andres Yi
author_facet Chang, Andres Yi
author_sort Chang, Andres Yi
title Test Score Gap Robustness to Scaling : The Scale Transformation Command
title_short Test Score Gap Robustness to Scaling : The Scale Transformation Command
title_full Test Score Gap Robustness to Scaling : The Scale Transformation Command
title_fullStr Test Score Gap Robustness to Scaling : The Scale Transformation Command
title_full_unstemmed Test Score Gap Robustness to Scaling : The Scale Transformation Command
title_sort test score gap robustness to scaling : the scale transformation command
publisher World Bank, Washington, DC
publishDate 2019
url http://documents.worldbank.org/curated/en/942501566218257874/Test-Score-Gap-Robustness-to-Scaling-The-Scale-Transformation-Command
http://hdl.handle.net/10986/32311
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