Title Modified chi-squared goodness-of-fit tests for continuous right-skewed response generalized linear models
Authors Bagdonavičius, Vilijandas ; Levulienė, Rūta
DOI 10.3390/math13162659
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Is Part of Mathematics.. Basel : MDPI. 2025, vol. 13, iss. 16, art. no. 2659, p. [1-15].. eISSN 2227-7390
Keywords [eng] generalized linear models ; gamma regression ; inverse Gaussian regression ; chi-squared test ; goodness-of-fit ; censoring
Abstract [eng] Generalized linear models are applied for data analysis in various areas. One of the most important steps in fitting the model is to check the goodness-of-fit; however, there is a lack of such tests. Modified chi-squared goodness-of-fit tests for generalized linear models were constructed. Models with continuous right-skewed, possibly censored responses were considered. Explicit formulas of test statistics are provided in the case of gamma and inverse Gaussian models. The test power was investigated by simulation. The article presents real data examples to illustrate the application of tests.
Published Basel : MDPI
Type Journal article
Language English
Publication date 2025
CC license CC license description