Year

2021

Season

Spring

Paper Type

Master's Thesis

College

College of Arts and Sciences

Degree Name

Master of Science (MS)

Department

Mathematics & Statistics

NACO controlled Corporate Body

University of North Florida. Department of Mathematics and Statistics

Committee Chairperson

Dr. Ping Sa

Second Advisor

Dr. Fei Heng

Rights Statement

http://rightsstatements.org/vocab/InC/1.0/

Third Advisor

Dr. Tyler Grimes

Department Chair

Dr. Richard Patterson

College Dean

Dr. George Rainbolt

Abstract

Tolerance limits are constructed from sample data to ascertain if a proportion of a process is within specification limits. There exists multiple methods of calculating the sample size requirements for tolerance limits under various assumptions. In this research, a distribution-specific algorithm that utilizes the exponentially weighted moving average technique (EWMA), first introduced by Sa and Razaila (2004), is reconstructed. The algorithm is used to calculate the required sample sizes for continuous construction of upper-sided tolerance limits. The sample sizes and intervals constructed from them are compared to three existing methods for various distributions. The distribution-specific algorithm was observed to reduce the sample size requirements more rapidly, and to a greater extent, than the competitors.

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