%0 Journal Article
%T Re-Testing in Batch Testing Model Based on Quality Control Process for Proportion Estimation
%A Ronald Waliaula Wanyonyi
%A Olivia Wanjeri Mwangi
%A Charles Wambugu Mwangi
%J Open Journal of Statistics
%P 123-136
%@ 2161-7198
%D 2021
%I Scientific Research Publishing
%R 10.4236/ojs.2021.111007
%X 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 </span><i><span style=\"font-family:Verdana;\">p</span></i><span style=\"font-family:Verdana;\"> computed ARE &gt; 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.
%K Quality Control
%K Batch Testing
%K Cut Off Value
%K Proportion
%K Re-Testing
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=107056