Open Journal of Statistics, 2017, 7, 434-445 http://www.scirp.org/journal/ojs ISSN Online: 2161-7198 ISSN Print: 2161-718X DOI: 10.4236/ojs.2017.73031 June 12, 2017 Asymptomatic Distribution of Goodness-of-Fit Tests in Logistic Regression Model Nuri H. Salem Badi Mathematics Department, Faculty of Art and science-Alabyar University of Benghazi, Benghazi, Libya Abstract The logistic regression model has been become commonly used to study the association between a binary response variable; it is widespread application rests on its easy application and interpretation. The subject of assessment of goodness-of-fit in logistic regression model has attracted the attention of many scientists and researchers. Goodness-of-fit tests are methods to deter- mine the suitability of the fitted model. Many of methods proposed and dis- cussed for assessing goodness-of fit in logistic regression model, however, the asymptotic distribution of goodness-of-fit statistics are less examine, it is need more investigated. This work, will focus on assessing the behavior of asymp- totic distribution of goodness-of-fit tests, also make comparison between global goodness-of-fit tests, and evaluate it by simulation. Keywords Logistic Regression Model, Goodness-of-Fit Tests 1. Introduction The goal of a logistic regression analysis is to find the best fitting model to de- scribe the relationship between an outcome and covariates where the outcome is dichotomous, [1] considered the logistic regression model is a member of the class of the generalized linear models. Many assumptions and more details con- sidered about the behavior of logistic model see [2] [3], also for more application see [4] [5] [6] [7]. The goodness-of-fit is very important to decide if the more succinct model is adequate. After fitting the logistic regression model, the next step is to examine the proposed model how well fits the observation data and to know how effective the model is; this is called as its goodness-of-fit. Good- ness-of-fit tests for the logistic regression can be split into three types: 1) Those based an examination of residuals; 2) Those based a test which groups the ob- How to cite this paper: Badi, N.H.S. (2017) Asymptomatic Distribution of Goodness-of- Fit Tests in Logistic Regression Model. Open Journal of Statistics, 7, 434-445. https://doi.org/10.4236/ojs.2017.73031 Received: April 17, 2017 Accepted: June 9, 2017 Published: June 12, 2017 Copyright © 2017 by author and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access