Heterogeneity among contingency tables diagnosed by hierarchical log-linear models and their effect on Biplots

Autor: Carla Regina Guimarães Brighenti, Daniela Aparecida Mafra, Marcelo Angelo Cirillo
Jazyk: English<br />Portuguese
Rok vydání: 2022
Předmět:
Zdroj: Semina: Ciências Exatas e Tecnológicas, Vol 43, Iss 2 (2022)
Druh dokumentu: article
ISSN: 1679-0375
1676-5451
DOI: 10.5433/1679-0375.2022v43n2p135
Popis: The theory of singular value decomposition of matched matrices is used to verify the heterogeneity of rows, columns and between matched two-way tables. An exploratory analysis that can be visualized in biplots and through simulations studies with the hierarchical log-linear model using ordinary residuals and the components of residual deviance. The effect of heterogeneity was studied generating different sample sizes and their behavior was checked by adjusting Poisson’s model. We concluded that the model of ordinary residuals is the one that best reflects the degree of heterogeneity among the matched tables. Finally, na illustrative example is presented in order to guide the researcher to interpret the relationship between the results of the log-linear models with the biplots considering the effects between the sum and difference between the tables.
Databáze: Directory of Open Access Journals