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THE EXPONENTIATED POWER EXPONENTIAL REGRESSION MODEL WITH DIFFERENT REGRESSION STRUCTURES: APPLICATION IN NURSING DATA
We propose a new distribution called the exponentiated power exponential (EPE) distribution and introduce a regression model with different regression structures based on the new distribution. We also show that the new regression model can be applied to dispersion data since it represents a parametric family of models that includes as sub-models several widely-known regression models and therefore can be used more effectively in the analysis of real data. We employ a frequentist analysis and derive the appropriate matrices for assessing local influence on the parameter estimates under different perturbation schemes. Some global-influence measurements are also investigated and simulation studies are performed to evaluate the precision of the estimates. We provide an application of the regression model with different regression structures to nursing activities score data in the Unit of the Medical Clinic of University of São Paulo (USP) Hospital.
Exponentiated family; diagnostic analysis; maximum likelihood; regression model; residual analysis
Modelos de Regressão
Fábio Prataviera, Julio Cezar Souza Vasconcelos, Elizabeth Mie Hashimoto, Edwin Moises Marcos Ortega, Gauss Moutinho Cordeiro