EFFECTS OF DIFFERENT TYPE OF COVARIATES AND SAMPLE SIZE ON PARAMETER ESTIMATION FOR MULTINOMIAL LOGISTIC REGRESSION MODEL

Hamzah Abdul Hamida; Yap Bee Wah; Xian-Jin Xie

doi:10.11113/jt.v78.10036

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EFFECTS OF DIFFERENT TYPE OF COVARIATES AND SAMPLE SIZE ON PARAMETER ESTIMATION FOR MULTINOMIAL LOGISTIC REGRESSION MODEL

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EFFECTS OF DIFFERENT TYPE OF COVARIATES AND SAMPLE SIZE ON PARAMETER ESTIMATION FOR MULTINOMIAL LOGISTIC REGRESSION MODEL

Hamzah Abdul Hamida, Yap Bee Wah and Xian-Jin Xie

Jurnal teknologi. A, Pembuatan, bahan termaju, tenaga dan pengangkutan, Vol.78(12-3), pp.155-161

01/01/2016

DOI: 10.11113/jt.v78.10036

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Abstract

The sample size and distributions of covariate may affect many statistical modeling techniques. This paper investigates the effects of sample size and data distribution on parameter estimates for multinomial logistic regression. A simulation study was conducted for different distributions (symmetric normal, positively skewed, negatively skewed) for the continuous covariates. In addition, we simulate categorical covariates to investigate their effects on parameter estimation for the multinomial logistic regression model. The simulation results show that the effect of skewed and categorical covariate reduces as sample size increases. The parameter estimates for normal distribution covariate apparently are less affected by sample size. For multinomial logistic regression model with a single covariate study, a sample size of at least 300 is required to obtain unbiased estimates when the covariate is positively skewed or is a categorical covariate. A much larger sample size is required when covariates are negatively skewed.

Engineering

Engineering, Multidisciplinary

Science & Technology

Technology

Details

Title: Subtitle: EFFECTS OF DIFFERENT TYPE OF COVARIATES AND SAMPLE SIZE ON PARAMETER ESTIMATION FOR MULTINOMIAL LOGISTIC REGRESSION MODEL
Creators: Hamzah Abdul Hamida - Univ Teknol MARA, Fac Comp & Math Sci, Shah Alam 40450, Selangor, Malaysia
Yap Bee Wah - Universiti Teknologi MARA
Xian-Jin Xie - The University of Texas Southwestern Medical Center
Resource Type: Journal article
Publication Details: Jurnal teknologi. A, Pembuatan, bahan termaju, tenaga dan pengangkutan, Vol.78(12-3), pp.155-161
DOI: 10.11113/jt.v78.10036
ISSN: 0127-9696
eISSN: 2180-3722
Publisher: Penerbit Utm Press
Number of pages: 7
Grant note: Tabung Amanah Pembangunan Pelajar (TAPA) Universiti Teknologi MARA Malaysia Ministry of Higher Education of Malaysia; Ministry of Education, Malaysia
Language: English
Date published: 01/01/2016
Academic Unit: Preventive and Community Dentistry; Biostatistics; Dental Research
Record Identifier: 9984367644502771

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