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Diagnostics via partial residual plots in inverse Gaussian regression
Author(s) -
Imran Muhammad,
Akbar Atif
Publication year - 2020
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.3203
Subject(s) - residual , regression , regression analysis , inverse , linear regression , partial least squares regression , inverse gaussian distribution , computer science , statistics , gaussian , partial derivative , inverse function , data mining , mathematics , algorithm , physics , mathematical analysis , geometry , distribution (mathematics) , quantum mechanics
Regression diagnostics is the basic requirement to apply regression analysis to reach reliable conclusions. Generalized linear models also required diagnostics for its implementation. The construction of partial residuals using response residuals for the inverse Gaussian regression model is carried out to explore the structure and usefulness for visualizing diagnostics and curvature as a function of selected predictors. The current study established the performance of partial residual plots over conventional diagnostic methods. The comparison has been made using aerial biomass data and with the help of simulation study. It has been observed that partial residual plots provide much better diagnosis than do conventional methods. Moreover, multiple diagnostics in a single display provide better perceptive towards lack of fit, specification, and data anomalies.