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RESEARCH PAPERS

Sampling for Confidence Interval Estimation of the Fiber Shape Factor

[+] Author and Article Information
C. B. Russell

Department of Mathematical Sciences, Clemson University, Clemson, SC 29631

R. L. Barker

Department of Design and Environmental Analysis, Cornell University, Ithaca, NY 14853

D. W. Lyons

Department of Textiles, Clemson University, Clemson, SC 29631

J. Eng. Ind 102(4), 366-368 (Nov 01, 1980) (3 pages) doi:10.1115/1.3183879 History: Received July 01, 1980; Online July 30, 2009

Abstract

A method is described for estimating the shape factor, the ratio of the maximum and minimum projected diameters, of a fiber from measurements made on a longitudinal view. The method assumes that the measured diameters have a uniform distribution, an assumption which seems justified for cotton fibers. An estimator of the shape factor is given; a confidence interval for the shape factor is derived; and a sampling plan together with formulae for determining an adequate sample size is presented.

Copyright © 1980 by ASME
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