A New Test for Independence in 2×2 Contingency Tables
In statistical literature there exist many tests to reveal the independence of two qualitative variables in two‑way contingency tables (CTs), in particular in 2×2 CTs. In this paper four independence tests were compared. These are: the chi‑square test, being the most popular type of power divergence...
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| Format: | Article |
| Language: | English |
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Lodz University Press
2017-11-01
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| Series: | Acta Universitatis Lodziensis. Folia Oeconomica |
| Subjects: | |
| Online Access: | https://czasopisma.uni.lodz.pl/foe/article/view/949 |
| _version_ | 1811273861713362944 |
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| author | Piotr Sulewski |
| author_facet | Piotr Sulewski |
| author_sort | Piotr Sulewski |
| collection | DOAJ |
| description | In statistical literature there exist many tests to reveal the independence of two qualitative variables in two‑way contingency tables (CTs), in particular in 2×2 CTs. In this paper four independence tests were compared. These are: the chi‑square test, being the most popular type of power divergence statistics; the modular test and the d‑square test, which is a modification of the Pearson’s test; the logarithmic minimum test which is a new proposal. Critical values for the tests listed above were determined with the Monte Carlo method. In order to compare the tests, the measure of untruthfulness of H0 was proposed and the power of the tests was calculated. |
| first_indexed | 2024-04-12T23:08:15Z |
| format | Article |
| id | doaj.art-b666213644e04ec281d7a4449eaf80ca |
| institution | Directory Open Access Journal |
| issn | 0208-6018 2353-7663 |
| language | English |
| last_indexed | 2024-04-12T23:08:15Z |
| publishDate | 2017-11-01 |
| publisher | Lodz University Press |
| record_format | Article |
| series | Acta Universitatis Lodziensis. Folia Oeconomica |
| spelling | doaj.art-b666213644e04ec281d7a4449eaf80ca2022-12-22T03:12:52ZengLodz University PressActa Universitatis Lodziensis. Folia Oeconomica0208-60182353-76632017-11-01433010.18778/0208-6018.330.041606A New Test for Independence in 2×2 Contingency TablesPiotr Sulewski0Pomeranian University in Słupsk, Faculty of Mathematics and Natural Sciences, Institute of MathematicsIn statistical literature there exist many tests to reveal the independence of two qualitative variables in two‑way contingency tables (CTs), in particular in 2×2 CTs. In this paper four independence tests were compared. These are: the chi‑square test, being the most popular type of power divergence statistics; the modular test and the d‑square test, which is a modification of the Pearson’s test; the logarithmic minimum test which is a new proposal. Critical values for the tests listed above were determined with the Monte Carlo method. In order to compare the tests, the measure of untruthfulness of H0 was proposed and the power of the tests was calculated.https://czasopisma.uni.lodz.pl/foe/article/view/949independence test2×2 contingency tablelogarithmic minimum statisticsmodular statisticspower divergence statisticsMonte Carlo method |
| spellingShingle | Piotr Sulewski A New Test for Independence in 2×2 Contingency Tables Acta Universitatis Lodziensis. Folia Oeconomica independence test 2×2 contingency table logarithmic minimum statistics modular statistics power divergence statistics Monte Carlo method |
| title | A New Test for Independence in 2×2 Contingency Tables |
| title_full | A New Test for Independence in 2×2 Contingency Tables |
| title_fullStr | A New Test for Independence in 2×2 Contingency Tables |
| title_full_unstemmed | A New Test for Independence in 2×2 Contingency Tables |
| title_short | A New Test for Independence in 2×2 Contingency Tables |
| title_sort | new test for independence in 2 2 contingency tables |
| topic | independence test 2×2 contingency table logarithmic minimum statistics modular statistics power divergence statistics Monte Carlo method |
| url | https://czasopisma.uni.lodz.pl/foe/article/view/949 |
| work_keys_str_mv | AT piotrsulewski anewtestforindependencein22contingencytables AT piotrsulewski newtestforindependencein22contingencytables |