A test for using the sum score to obtain a stochastic ordering of subjects
For many psychological test applications, the simple sum score across the items is used to make inferences about subjects. However, most of the item response theory models for psychological test data do not support such usage of the sum score. A simple test is proposed to assess whether the sum scor...
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| Published in | Journal of multivariate analysis Vol. 133; pp. 136 - 139 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Inc
01.01.2015
Taylor & Francis LLC |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0047-259X 1095-7243 |
| DOI | 10.1016/j.jmva.2014.09.003 |
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| Abstract | For many psychological test applications, the simple sum score across the items is used to make inferences about subjects. However, most of the item response theory models for psychological test data do not support such usage of the sum score. A simple test is proposed to assess whether the sum score can be used to obtain a stochastic ordering of subjects. This test is based on general (nonparametric) conditions and requires only the estimation of the unconstrained proportions. |
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| AbstractList | For many psychological test applications, the simple sum score across the items is used to make inferences about subjects. However, most of the item response theory models for psychological test data do not support such usage of the sum score. A simple test is proposed to assess whether the sum score can be used to obtain a stochastic ordering of subjects. This test is based on general (nonparametric) conditions and requires only the estimation of the unconstrained proportions. |
| Author | Ligtvoet, R. |
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| Cites_doi | 10.1214/aos/1013699998 10.1177/01466210122032073 10.1007/BF02294555 10.3233/JAD-2003-5503 10.1111/j.1749-6632.1989.tb16434.x 10.1214/aos/1069362751 10.1007/BF02294042 10.1111/j.2044-8317.1990.tb00925.x 10.1016/0022-3956(75)90026-6 10.1214/aos/1015956713 10.1007/BF02296272 10.2333/bhmk.33.75 10.1007/BF02301417 10.1007/s11336-012-9272-6 10.1093/biomet/67.2.429 10.1007/BF02294328 10.1214/aos/1176350174 10.1080/01621459.1998.10473772 10.1016/0047-259X(80)90065-2 10.1214/aoms/1177728487 |
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| Keywords | 62G30 Stochastic ordering 62G10 Totally positive of the order 2 Item response theory |
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| Title | A test for using the sum score to obtain a stochastic ordering of subjects |
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