An advanced statistical procedure for diagnosing multicollinearity between HVI fiber properties is demonstrated. The procedure consists of sequential analyses in which validation of a regression model is examined, diagnostic procedures for collinearity are demonstrated, and remedies for the problem of collinearity are proposed. This paper is presented to textile scientists in an effort to introduce new statistical techniques that should improve the performance of linear multiple regression analyses relating HVI fiber properties to yam strength.
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References
1.
Belsley, D.A., Kuh, E., and Welsh, R., "Regression Diagnostics: Identifying Influential Data and Sources of Collinearity," John Wiley and Sons, Inc.,New York, 1980.
2.
Chatterjee, S., and Price. B. "Regression Analysis by Example," John Wiley and Sons, Inc., New York, 1977.
3.
El Mogahzy, Y., Selecting Cotton Fiber Properties for Fitting Reliable Equations to HVI Data, Textile Res. J.58(7), 392-397 (1988).
4.
El Mogahzy, Y., and Lynch. W.K.Engineered Fiber Selection of Cotton for Selected Fabric Types, Project 82-522 Cotton Inc., 1987.
5.
El Mogahzy, Y., and Lynch, W.K., Implementation of an Engineered Fiber Selection Program in Textile Plants. Part II, Project 84-612 ARI. 1986.
6.
Fox, John, "Linear Statistical Models and Related Methods," John Wiley and Sons, Inc.,New York, 1984.
7.
Freund, R.J., and Little, R.C., "SAS® System for Regression," SAS Institute Inc. , Cary, North Carolina. 1986.
8.
Kendall, M.G. , "A Course in Multivariate Analysis," Charles Griffin, London, 1957.
Riddle, E. R., HVI Calibration Data, Cotton Incorporated, 1987.
11.
Sas® "User's Guide: Statistics Version," 5th ed., SAS Institute Inc., Cary, North Carolina, 1985 .
12.
Seshan, K.N.Pillay. K.P.R.Ratnam. T.V., and Govindarajn. S., Cotton-Fiber Characteristics Influencing the Quality of Open-End-Spun Yarn , in "Papers of the 63rd Annual Conference of the Textile Institute." Manchester. 1979 , pp. 202-212.
13.
Taylor, R.A., A Calibration Reference Tile for Optical Image Type Cotton Trashmeters. Beltwide Cotton Production Research Conference Proceedings, 1984.
