Peta Kendali Atribut Menggunakan Zero-Inflated Generalized Poisson
Article History
Submited : February 18, 2021
Published : August 4, 2023
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If the variable is a discrete random variable with Poisson distribution, the data analysis must fulfill the equidispersion assumption. In reality, these assumptions are not fulfilled because the variance is greater than the mean which is called overdispersion. Overdispersion in data can occur due to the proportion of excess zero values in these variables. To estimate the parameters, the MLE method can be used on data that has a certain distribution by maximizing the likelihood function, it obtained is implicit or nonlinear so that it cant be solved analytically. To get the numerical solution, it solved by using the EM algorithm. The estimation results of the ZIGP distribution parameters are used to create control chart limits for the 2016 Neonatal Mortality Rate data in Makassar with limits of , , and . The chart ARL value is , which is greater than the chart ARL value, which is which indicates that the chart is better at detecting outliers.
References
- Fransisca, H. Merancang Peta Kendali Shewart Optimal. Surabaya: Universitas Kristen Petra. 1999.
- Myers, R. D. Generalized Linear Models with Application in Engineering and The Science Second Edition. New Jersey: Jhon Wiley and Sons. 2010.
- Famoye, P. C. Generalized Poisson Regression Model. Journal of Communication in Statistics - Theory and Methods, 21(1):89-109. 1992.
- Singh, F. Zero-Inflated Generalized Poisson Regression Model with an Application to Domestic Violence Data. Journal Of Data Science, 4:117-130. 2006.
- Montgomery, D. C. Introduction to Statistical Quality Control 6th Edition. Arizona State University: John Wiley & Sons, Inc. 2009.
- Dahniar, S. D. Profil Kesehatan Kota Makassar 2016. Makassar: Dinas Kesehatan Kota Makassar. 2017.
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