Diagnostic techniques for the inverse Gaussian regression model

• Published in: Communications in statistics. Theory and methods Vol. 51; no. 8; pp. 2552 - 2564
• Main Authors: Amin, Muhammad, Ullah, Muhammad Aman, Qasim, Muhammad
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 18-04-2022
• Subjects: Cook's distance; CVR; DFFITS; IGRM; influential observation
• ISSN: 0361-0926; 1532-415X; 1532-415X
• DOI: 10.1080/03610926.2020.1777308

In this article, we propose some diagnostic techniques for the inverse Gaussian regression model (IGRM), which are appropriate for modeling the response variable that undertakes positively skewed continuous dataset. Moreover, two new diagnostic methods are mainly proposed for the IGRM, which named as covariance ratio (CVR) and Welsch's distance (WD). The comparison of our proposed methods of influence diagnostics with the existing approaches has been made through Monte Carlo simulation under different factors. In addition, the benefit of the proposed methods is assessed using a real application. Based on the simulation and empirical application results, we observed that the performance of the proposed method is better than the existing methods for detection of influential observations.