Author(s)

Ronald Waliaula Wanyonyi¹, Olivia Wanjeri Mwangi², Charles Wambugu Mwangi³

¹Department of Mathematics, Egerton University, Njoro, Kenya.
²Data Science Institute, University of Delaware, Newark, DE, USA.
³Department of Mathematics and Actuarial, Kabarak University, Kabarak, Kenya.

The quality of products manufactured or procured by organizations is an important aspect of their survival in the global market. The quality control processes put in place by organizations can be resource-intensive but substantial savings can be realized by using acceptance sampling in conjunction with batch testing. This paper considers the batch testing model based on the quality control process where batches that test positive are re-tested. The results show that re-testing greatly improves the efficiency over one stage batch testing based on quality control. This is observed using Asymptotic Relative Efficiency (ARE), where for values of p computed ARE > 1 implying that our estimator has a smaller variance than the one-stage batch testing. Also, it was found that the model is more efficient than the classical two-stage batch testing for relatively high values of proportion.

Quality Control, Batch Testing, Cut Off Value, Proportion, Re-Testing

Wanyonyi, R. , Mwangi, O. and Mwangi, C. (2021) Re-Testing in Batch Testing Model Based on Quality Control Process for Proportion Estimation. Open Journal of Statistics, 11, 123-136. doi: 10.4236/ojs.2021.111007.