Sankhya: The Indian Journal of Statistics

1999, Volume 61, Series B, Pt. 2, pp. 351-365

A STATISTICAL MODEL FOR THE DESIGN OF MULTIATTRIBUTE CONTROL CHARTS

By

JOEL K. JOLAYEMI, *University of Zululand, KwaDlangezwa*

and

ATANU SENGUPTA, *Indian Statistical Institute, Calcutta*

*SUMMARY. *We develop a statistical model for the design of multivariate
control charts (MACCS). A formula for determining quick
solutions to the model to obtain the charts' design parameters
is also developed. Furthermore, we develop a procedure for
identifying attributes that are responsible for alarm signals
given by the charts. Numerical examples are given and OC
curves are drawn for some of the designs produced in the
examples to illustrate the model and to compare the performances
of MACC with ordinary np-charts. The examples show that the
new MACC technique is more cost-effective and more efficient
than the np-chart technique. The former produces smaller
sample sizes than those produced by the latter. The MACC is
also shown to be, oftentimes, more powerful than the np-chart.

*AMS (1991) subject classification.*62N10.

*Key words and phrases. * Multiple attributes, convolution, independent
binomial variables, control charts, acceptance number, operating characteristic curves.