Research Article Open Access

An Algorithm for Determining the Number of Mixture Components on the Bayesian Mixture Model Averaging for Microarray Data

Ani Budi Astuti1, Nur Iriawan2, Irhamah2 and Heri Kuswanto2
  • 1 University of Brawijaya, Indonesia
  • 2 Institut Teknologi Sepuluh Nopember, Indonesia

Abstract

The major challenges on the statistical analysis of microarray data are the limited availability of samples, large number of measured variables and the complexity of distribution of the data obtained (e.g., multimodal). These phenomena could be considered in Bayesian method, used Bayesian Mixture Model (BMM) methods and Bayesian Model Averaging (BMA) methods. Modeling of Bayesian Mixture Model Averaging (BMMA) for microarray data was developed based on these two studies. One of the most important stages in BMMA is determination of the number of mixture components in the data setting as the most appropriate BMMA models. This paper proposes an algorithm for determining the number of mixture components in BMMA for microarray data. The algorithm is developed based on the simulation data generated from a case study of Indonesian and it has been implemented on the outside Indonesian microarray data. The results have succed to demonstrate two step algorithms, called Preliminary Process and Smoothing Process Algorithms, to the Indonesian case microarray data with the accuracy rate of 99.3690% and 99.9094% for the outside Indonesian microarray data.

Journal of Mathematics and Statistics
Volume 11 No. 2, 2015, 45-51

DOI: https://doi.org/10.3844/jmssp.2015.45.51

Submitted On: 27 September 2014 Published On: 28 September 2015

How to Cite: Astuti, A. B., Iriawan, N., Irhamah, & Kuswanto, H. (2015). An Algorithm for Determining the Number of Mixture Components on the Bayesian Mixture Model Averaging for Microarray Data. Journal of Mathematics and Statistics, 11(2), 45-51. https://doi.org/10.3844/jmssp.2015.45.51

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Keywords

  • Algorithm
  • Number of Mixture Components
  • Bayesian Mixture Averaging
  • Microarray