### Abstract

It is well known that the type of data distribution in the independent variable(s) may affect many statistical procedures. This paper investigates and illustrates the effect of different types of covariates on the parameter estimation of a binary logistic regression model. A simulation study with different sample sizes and different types of covariates (uniform, normal, skewed) was carried out. Results showed that parameter estimation of binary logistic regression model is severely overestimated when sample size is less than 150 for covariate which have normal and uniform distribution while the parameter is underestimated when the distribution of covariate is skewed. Parameter estimation improves for all types of covariates when sample size is large, that is at least 500.

Original language | English (US) |
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Title of host publication | 2nd ISM International Statistical Conference 2014, ISM 2014 |

Subtitle of host publication | Empowering the Applications of Statistical and Mathematical Sciences |

Editors | Nor Aida Zuraimi Md Noar, Roslinazairimah Zakaria, Wan Nur Syahidah Wan Yusoff, Mohd Sham Mohamad, Mohd Rashid Ab Hamid |

Publisher | American Institute of Physics Inc. |

Pages | 425-430 |

Number of pages | 6 |

ISBN (Electronic) | 9780735412811 |

DOIs | |

State | Published - Jan 1 2015 |

Event | 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 - Kuantan, Pahang, Malaysia Duration: Aug 12 2014 → Aug 14 2014 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1643 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 |
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Country | Malaysia |

City | Kuantan, Pahang |

Period | 8/12/14 → 8/14/14 |

### Keywords

- Binary logistic regression
- Parameter estimation
- Simulation

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences*(pp. 425-430). (AIP Conference Proceedings; Vol. 1643). American Institute of Physics Inc.. https://doi.org/10.1063/1.4907476