| dc.contributor.author | Sulewski, Piotr | |
| dc.date.accessioned | 2017-11-17T14:21:58Z | |
| dc.date.available | 2017-11-17T14:21:58Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0208-6018 | |
| dc.identifier.uri | http://hdl.handle.net/11089/23296 | |
| dc.description.abstract | 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. | en_GB |
| dc.description.abstract | W literaturze statystycznej istnieje wiele miar do ujawniania niezależności dwóch zmiennych jakościowych w tabelach kontyngencji, w szczególności w tabelach dwudzielczych 2×2. W niniejszym artykule porównano cztery testy niezależności. Są to: test chi‑kwadrat, jako najbardziej znany przedstawiciel statystyk power divergence, test modułowy oraz test d‑kwadrat, jako modyfikacje testu Pearsona, test logarytmiczno‑minimalny, będący nową propozycją. Wartości krytyczne dla wyżej wymienionych testów zostały wyznaczone metodami Monte Carlo. W celu porównania testów zaproponowano miarę nieprawdziwości H0 i wyznaczono ich moc. | pl_PL |
| dc.language.iso | en | en_GB |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | en_GB |
| dc.relation.ispartofseries | Acta Universitatis Lodziensis. Folia Oeconomica;330 | |
| dc.subject | independence test | en_GB |
| dc.subject | 2×2 contingency table | en_GB |
| dc.subject | logarithmic minimum statistics | en_GB |
| dc.subject | modular statistics | en_GB |
| dc.subject | power divergence statistics | en_GB |
| dc.subject | Monte Carlo method | en_GB |
| dc.subject | test niezależności | pl_PL |
| dc.subject | tablica dwudzielcza 2×2 | pl_PL |
| dc.subject | statystyka logarytmiczno‑minimalna | pl_PL |
| dc.subject | statystyka modułowa | pl_PL |
| dc.subject | statystyki power divergence | pl_PL |
| dc.subject | metoda Monte Carlo | pl_PL |
| dc.title | A New Test for Independence in 2×2 Contingency Tables | en_GB |
| dc.title.alternative | Nowy test niezależności dla tablic dwudzielczych 2×2 | pl_PL |
| dc.type | Article | en_GB |
| dc.rights.holder | © Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017 | en_GB |
| dc.page.number | [55]-75 | |
| dc.contributor.authorAffiliation | Pomeranian University in Słupsk, Faculty of Mathematics and Natural Sciences, Institute of Mathematics | |
| dc.identifier.eissn | 2353-7663 | |
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| dc.contributor.authorEmail | piotr.sulewski@apsl.edu.pl | |
| dc.identifier.doi | 10.18778/0208-6018.330.04 | |
| dc.relation.volume | 4 | en_GB |
| dc.subject.jel | C12 | |
| dc.subject.jel | C14 | |
| dc.subject.jel | C15 | |
| dc.subject.jel | C46 | |
| dc.subject.jel | C63 | |
