Mathematics and Statistics Vol. 11(2), pp. 379 - 384
DOI: 10.13189/ms.2023.110217
Reprint (PDF) (312Kb)

Binary Response on Logistics Regression Model and Its Simulation

Budi Pratikno ^1,*, Fifthany Marchelina Napitupulu ^1,2, Jajang ¹, Agustini Tripena Br. Sb ¹, Mashuri ^1
1 Department of Mathematics, Faculty of Mathematics and Natural Science, Jenderal Soedirman University, Purwokerto, Indonesia
² Jl. Dr. Soeparno 61 Karangwangkal, Purwokerto, 53122, Central of Java, Indonesia

ABSTRACT

The research determined the binary response model on logistics regression (LR) and its application. Firstly, we select some eligible factors (predictors,X_i, i=1,2,3,4 ) that are involved in the model, namely age ( X₁ ), sex (X₂) , treatment (X₃) , and nutrition (X₄) , with the response (Y) being the case of tuberculosis (TB). Using the stepwise selection model and odd ratio (OR) interpretation, we have three suspected significant predictors (X₁ ,X₃, and X₄ ), but we choose two (only) of the significant predictors, which are X₃ and X₄. Therefore, the logistics regression model is written as . To test the goodness of fit of the model, we used deviance test (p-value 0.08). Due to this p-value, we then used the level of significance which is 0.08 (nearly close to 0.05) for obtaining the significant model. For more detailed interpretation, we here noted that the OR of the age (X₁) , one of the three suspected significant predictors (X₁ , X₃ , and X₄ ), is close to be one ( 1), so it is an independent predictor (not significant). So, we concluded that the significant predictors are only treatment (X₃) and nutrition (X₄) . Thus, the linear of the logistics regression model is then given as a So, we noted that TB is only dependent on clinical treatment and providing nutrition.

KEYWORDS
Binary Logistics Regression, Deviance, Odds Ratio, Medical Case

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Budi Pratikno , Fifthany Marchelina Napitupulu , Jajang , Agustini Tripena Br. Sb , Mashuri , "Binary Response on Logistics Regression Model and Its Simulation," Mathematics and Statistics, Vol. 11, No. 2, pp. 379 - 384, 2023. DOI: 10.13189/ms.2023.110217.

(b). APA Format:
Budi Pratikno , Fifthany Marchelina Napitupulu , Jajang , Agustini Tripena Br. Sb , Mashuri (2023). Binary Response on Logistics Regression Model and Its Simulation. Mathematics and Statistics, 11(2), 379 - 384. DOI: 10.13189/ms.2023.110217.