# KAJIAN VARIANCE MEAN RATIO PADA SIMULASI SEBARAN DATA BINOMIAL NEGATIF

## Authors

• Choirun Nisa Department of Statistics, IPB University, Indonesia
• Muhammad Nur Aidi Department of Statistics, IPB University, Indonesia
• I Made Sumertajaya Department of Statistics, IPB University, Indonesia

## Keywords:

negative binomial distribution, over dispersion, variance mean ratio

## Abstract

The negative binomial distribution is one of the data collection counts that focuses on success and failure events. This study conducted a study of the distribution of negative binomial data to determine the characterization of the distribution based on the value of Variance Mean Ratio (VMR). Simulation data are generated based on negative binomial distribution with a combination of p and n parameters. The results of the VMR study on negative binomial distribution simulation data show that the VMR value will be smaller when the p-value is large and the VMR value is more stable as the sample size increases. Simulation data of negative binomial distribution when p≥0.5 begins to change data distribution to the distribution of Poisson and binomial. The calculation VMR value can be used as a reference for detecting patterns of data count distribution.

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2020-12-25

## How to Cite

Nisa, C., Aidi, M. N., & Sumertajaya, I. M. (2020). KAJIAN VARIANCE MEAN RATIO PADA SIMULASI SEBARAN DATA BINOMIAL NEGATIF. Indonesian Journal of Statistics and Its Applications, 4(4), 615–626. https://doi.org/10.29244/ijsa.v4i4.689

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