Z Scores, Standard Scores, and Composite Test Scores Explained

Patients may be assessed using a battery of tests where different tests yield scores in different units, where different tests have different minimum and maximum scores, and where higher or lower scores mean different things in different tests. Therefore, a composite test score cannot be obtained by...

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Autor principal: Chittaranjan Andrade
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Publicado: SAGE Publishing 2021
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spelling oai:doaj.org-article:862cc9ada1b4425ab21519205eedd8682021-11-18T23:34:42ZZ Scores, Standard Scores, and Composite Test Scores Explained0253-71760975-156410.1177/02537176211046525https://doaj.org/article/862cc9ada1b4425ab21519205eedd8682021-11-01T00:00:00Zhttps://doi.org/10.1177/02537176211046525https://doaj.org/toc/0253-7176https://doaj.org/toc/0975-1564Patients may be assessed using a battery of tests where different tests yield scores in different units, where different tests have different minimum and maximum scores, and where higher or lower scores mean different things in different tests. Therefore, a composite test score cannot be obtained by simple addition or averaging of scores in the individual tests. However, if performances in individual tests are converted to Z scores, the Z scores can be added or averaged to yield a composite score that can be interpreted or processed using conventional statistical methods. This article explains in simple ways how Z scores are calculated, what the properties of Z scores are, how Z scores can be interpreted, and how Z scores can be converted into other standard scores.Chittaranjan AndradeSAGE PublishingarticlePsychiatryRC435-571ENIndian Journal of Psychological Medicine, Vol 43 (2021)
institution DOAJ
collection DOAJ
language EN
topic Psychiatry
RC435-571
spellingShingle Psychiatry
RC435-571
Chittaranjan Andrade
Z Scores, Standard Scores, and Composite Test Scores Explained
description Patients may be assessed using a battery of tests where different tests yield scores in different units, where different tests have different minimum and maximum scores, and where higher or lower scores mean different things in different tests. Therefore, a composite test score cannot be obtained by simple addition or averaging of scores in the individual tests. However, if performances in individual tests are converted to Z scores, the Z scores can be added or averaged to yield a composite score that can be interpreted or processed using conventional statistical methods. This article explains in simple ways how Z scores are calculated, what the properties of Z scores are, how Z scores can be interpreted, and how Z scores can be converted into other standard scores.
format article
author Chittaranjan Andrade
author_facet Chittaranjan Andrade
author_sort Chittaranjan Andrade
title Z Scores, Standard Scores, and Composite Test Scores Explained
title_short Z Scores, Standard Scores, and Composite Test Scores Explained
title_full Z Scores, Standard Scores, and Composite Test Scores Explained
title_fullStr Z Scores, Standard Scores, and Composite Test Scores Explained
title_full_unstemmed Z Scores, Standard Scores, and Composite Test Scores Explained
title_sort z scores, standard scores, and composite test scores explained
publisher SAGE Publishing
publishDate 2021
url https://doaj.org/article/862cc9ada1b4425ab21519205eedd868
work_keys_str_mv AT chittaranjanandrade zscoresstandardscoresandcompositetestscoresexplained
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