Control Chart Based on a Multiplicative-binomial Distribution
نویسنده
چکیده
The classical Shewhart np-chart that constructed based on the binomial distribution is inappropriate in monitoring over-dispersion and correlated binary data where it tends to overestimate or underestimate the dispersion and subsequently lead to higher or lower false alarm rate in detecting out-of-control signals. Consequently, the np-chart is recommended based on a multiplicative-binomial distribution that count for dependent binary data. A test for independent among binary data is proposed based on this distribution. Moreover, it used to construct a one-sided np-chart with its upper control limit and the sensitivity analysis of this chart based on average run length is presented. Applications are given that illustrates the benefits of the proposed chart.
منابع مشابه
Multivariate Generalizations of the Multiplicative Binomial Distribution: Introducing the MM Package
We present two natural generalizations of the multinomial and multivariate binomial distributions, which arise from the multiplicative binomial distribution of Altham (1978). The resulting two distributions are discussed and we introduce an R package, MM, which includes associated functionality. This vignette is based on Altham and Hankin (2012).
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