20.500.12556/RUL-159033 Kakovost prileganja za linearne modele ​Goodness of Fit for Linear Models Ta doktorska disertacija se osredotoča na problem preverjanja primernosti prileganja za linearne mešane modele. V disertaciji je predstavljena nova metoda, ki je teoretično utemeljena in podprta s številnimi simulacijami ter praktičnim primerom. Predlagana metoda temelji na dveh družinah slučajnih procesov, vsaka z enim primarnim in več sekundarnimi procesi, ki se uporabljajo za preverjanje ničelne hipoteze. Poleg tega disertacija prikazuje, kako lahko podobne metode z enim primarnim in več sekundarnimi stohastičnimi procesi prilagodimo različnim statističnim modelom, tako da preverjamo kakovost prileganja linearnega regresijskega modela z uporabo dveh nekoliko enostavnejših metod. Skupaj predstavlja ta disertacija dragocen prispevek k statističnemu modeliranju, saj uvaja novo metodo za preverjanje primernosti prileganja za linearne mešane modele in raziskuje njene potencialne uporabe tudi pri drugih linearnih modelih. This Ph.D. thesis primarily addresses the problem of testing the goodness of fit for linear mixed models. The thesis introduces a novel method that is both theoretically sound and supported by several simulations and a practical example. The proposed method is based on two families of stochastic processes, each with one primary and several secondary processes used to test the null hypothesis. Additionally, the thesis demonstrates how similar methods with one primary and multiple secondary stochastic processes can be adapted for different statistical models by examining the goodness of fit of a linear regression model using two slightly simpler methods. Overall, this thesis presents a valuable contribution to statistical modeling by introducing a new method for testing the goodness of fit of linear mixed models and exploring its potential applications to other linear models. linearni mešani modeli kakovost prileganja statistični test linear mixed models goodnes of fit statistical test true false false Slovenski jezik Angleški jezik Doktorsko delo/naloga 2024-06-28 08:51:56 2024-06-28 08:51:58 2024-07-08 03:21:58 0000-00-00 00:00:00 2023 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1970-01-01 2641 241.pdf 241.pdf 1 08169320C157A707C22F46019A8305A6 1d4a54d03ee87c7519c44f8cdae3ce6bee8bff48da80b697bb5d6db8ef8928e5 eacdd8b5-351a-11ef-8882-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=186795 Medicinska fakulteta 0 0 0