scholarly journals Piecewise regression analysis through information criteria using mathematical programming

2019 ◽  
Vol 121 ◽  
pp. 362-372 ◽  
Author(s):  
Ioannis Gkioulekas ◽  
Lazaros G. Papageorgiou
2004 ◽  
Vol 8 (2) ◽  
pp. 131-140 ◽  
Author(s):  
Dong Qian Wang ◽  
Stefanka Chukova ◽  
C. D. Lai

The interaction between linear, quadratic programming and regression analysis are explored by both statistical and operations research methods. Estimation and optimization problems are formulated in two different ways: on one hand linear and quadratic programming problems are formulated and solved by statistical methods, and on the other hand the solution of the linear regression model with constraints makes use of the simplex methods of linear or quadratic programming. Examples are given to illustrate the ideas.


2016 ◽  
Vol 44 ◽  
pp. 156-167 ◽  
Author(s):  
Lingjian Yang ◽  
Songsong Liu ◽  
Sophia Tsoka ◽  
Lazaros G. Papageorgiou

2021 ◽  
Vol 12 ◽  
Author(s):  
Sixiang Liang ◽  
Jinhe Zhang ◽  
Qian Zhao ◽  
Amanda Wilson ◽  
Juan Huang ◽  
...  

Background: Major depressive disorder (MDD) is often associated with suicidal attempt (SA). Therefore, predicting the risk factors of SA would improve clinical interventions, research, and treatment for MDD patients. This study aimed to create a nomogram model which predicted correlates of SA in patients with MDD within the Chinese population.Method: A cross-sectional survey among 474 patients was analyzed. All subjects met the diagnostic criteria of MDD according to the International Statistical Classification of Diseases and Related Health Problems 10th Revision (ICD-10). Multi-factor logistic regression analysis was used to explore demographic information and clinical characteristics associated with SA. A nomogram was further used to predict the risk of SA. Bootstrap re-sampling was used to internally validate the final model. Integrated Discrimination Improvement (IDI) and Akaike Information Criteria (AIC) were used to evaluate the capability of discrimination and calibration, respectively. Decision Curve Analysis (DCA) and the Receiver Operating Characteristic (ROC) curve was also used to evaluate the accuracy of the prediction model.Result: Multivariable logistic regression analysis showed that being married (OR = 0.473, 95% CI: 0.240 and 0.930) and a higher level of education (OR = 0.603, 95% CI: 0.464 and 0.784) decreased the risk of the SA. The higher number of episodes of depression (OR = 1.854, 95% CI: 1.040 and 3.303) increased the risk of SA in the model. The C-index of the nomogram was 0.715, with the internal (bootstrap) validation sets was 0.703. The Hosmer–Lemeshow test yielded a P-value of 0.33, suggesting a good fit of the prediction nomogram in the validation set.Conclusion: Our findings indicate that the demographic information and clinical characteristics of SA can be used in a nomogram to predict the risk of SA in Chinese MDD patients.


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