Speed and Power Indices of tests and items

A simple index is proposed to measure speed or power components of a test. The index is independent of position of the items and provides necessary and sufficient condition for pure speed test and pure power test and enables testing of statistical hypothesis to infer that the test can be taken as a...

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Main Author: Satyendra Chakrabartty
Format: Article
Language:English
Published: NMd, Núcleo Multidisciplinar, UALG 2023-03-01
Series:Revistamultidisciplinar.com
Subjects:
Online Access:https://revistamultidisciplinar.com/index.php/oj/article/view/136
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author Satyendra Chakrabartty
author_facet Satyendra Chakrabartty
author_sort Satyendra Chakrabartty
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description A simple index is proposed to measure speed or power components of a test. The index is independent of position of the items and provides necessary and sufficient condition for pure speed test and pure power test and enables testing of statistical hypothesis to infer that the test can be taken as a speed test or a power test. Similar index of an item is also proposed to reflect whether the item is a speed item or a power item. The proposed index C is a ratio such that C = 0 ⟺Pure power test and C = 1⟺Pure speed test facilitating computation of similar index of each item and statistical test of significance. Properties of the index discussed. Operational method outlined to modify a test to speed or power test. Items can be ranked with respect to such item-wise index. Identification of power items and speed items help to modify the test to a speed or power test by deleting items in stages, if speediness (or power) is not intended. Relationship between index for the test and item-wise indices derived.
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spelling doaj.art-78d1ae390fb24a9c82b56e5d7423d1c22023-03-09T17:27:38ZengNMd, Núcleo Multidisciplinar, UALGRevistamultidisciplinar.com2184-54922023-03-015121923210.23882/rmd.23136136Speed and Power Indices of tests and itemsSatyendra Chakrabartty0https://orcid.org/0000-0002-7687-5044Indian Statistical Institute, Indian Maritime University, Indian Ports AssociationA simple index is proposed to measure speed or power components of a test. The index is independent of position of the items and provides necessary and sufficient condition for pure speed test and pure power test and enables testing of statistical hypothesis to infer that the test can be taken as a speed test or a power test. Similar index of an item is also proposed to reflect whether the item is a speed item or a power item. The proposed index C is a ratio such that C = 0 ⟺Pure power test and C = 1⟺Pure speed test facilitating computation of similar index of each item and statistical test of significance. Properties of the index discussed. Operational method outlined to modify a test to speed or power test. Items can be ranked with respect to such item-wise index. Identification of power items and speed items help to modify the test to a speed or power test by deleting items in stages, if speediness (or power) is not intended. Relationship between index for the test and item-wise indices derived.https://revistamultidisciplinar.com/index.php/oj/article/view/136error scoresunattempted itemsrandom guessingspeed testpower test
spellingShingle Satyendra Chakrabartty
Speed and Power Indices of tests and items
Revistamultidisciplinar.com
error scores
unattempted items
random guessing
speed test
power test
title Speed and Power Indices of tests and items
title_full Speed and Power Indices of tests and items
title_fullStr Speed and Power Indices of tests and items
title_full_unstemmed Speed and Power Indices of tests and items
title_short Speed and Power Indices of tests and items
title_sort speed and power indices of tests and items
topic error scores
unattempted items
random guessing
speed test
power test
url https://revistamultidisciplinar.com/index.php/oj/article/view/136
work_keys_str_mv AT satyendrachakrabartty speedandpowerindicesoftestsanditems