A DOUBLE SAMPLING PLAN BY ATTRIBUTES FOR THE ZERO-INFLATED NEGATIVE BINOMIAL DISTRIBUTION IN THE FOOD INDUSTRY
Microbiological testing is an important task in the food industry. Pathogenic microorganism contaminates the food material as clusters or group of individuals cells. The bacteria follows a zero-inflated Negative Binomial (ZINB) distribution in the entire food material. A double sampling plan (DSP) i...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/21904 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Microbiological testing is an important task in the food industry. Pathogenic microorganism contaminates the food material as clusters or group of individuals cells. The bacteria follows a zero-inflated Negative Binomial (ZINB) distribution in the entire food material. A double sampling plan (DSP) is developed for an ZINB distribution. We also provide R-code to determine the plan parameters such as the number of sample size, the acceptance number, and the rejection number on the first stage (n1, c1, and r1), and the number of the sample size and the acceptance number on the second stage (n2 and c2). Under given value of (acceptable quality level (AQL), lot tolerance percent defects (LTPD) two risk α and β. Simulated data with various of parameters (𝜑,𝑝1,𝛼,𝑝2,𝛽) are used to illustrate the applications. <br />
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