Title: Statistical hypothesis testing for dot-matrix type products

Authors: Chanseok Park

Addresses: Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA

Abstract: In this paper, we develop statistical hypothesis testing procedures for determining whether manufacturing processes of dot-matrix type products is considered to be currently passing its quality validation test. We provide a test statistic and a rejection region for a given Type I error probability for: 1) the case where the observed quality characteristic has a normal distribution; 2) the case where the observed quality characteristic has a uniform distribution. In addition to developing these hypothesis testing procedures, we also develop procedures for determining the sample size required for a specified Type II error probability. The proposed methods can be applied to a variety of products made up of identical components or items. Such products include candies in a box, light emitting diode (LED), traffic lights, charge coupled device (CCD) sensors, monitors, scanners, etc. Illustrative examples are provided.

Keywords: hypothesis testing; Type I errors; II errors; statistical power; quality assurance; manufacturing processes; dot matrix products; error probability; identical components; identical items.

DOI: 10.1504/IJQET.2009.030499

International Journal of Quality Engineering and Technology, 2009 Vol.1 No.1, pp.27 - 39

Published online: 18 Dec 2009 *

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