Library Open Repository

Fixing Collinearity Instability Using Principal Component and Ridge Regression Analyses in the Relationship Between Body Measurements and Body Weight in Japanese Black Cattle

Downloads

Downloads per month over past year

Malau-Aduli, AEO and Aziz, MA and Kojima, T and Niibayashi, T and Oshima, K and Komatsu, M (2004) Fixing Collinearity Instability Using Principal Component and Ridge Regression Analyses in the Relationship Between Body Measurements and Body Weight in Japanese Black Cattle. Journal of Animal and Veterinary Advances, 3 (12). pp. 856-863. ISSN 1680-5593

[img]
Preview
PDF (Author Version)
JAVA2004.pdf | Download (105kB)
Available under University of Tasmania Standard License.

Abstract

Monthly measurements of withers height (WHT), hip height (HIPHT), body length (BL), chest width (CHWD), shoulder width (SHWD), chest depth (CHDP), hip width (HIPWD), lumbar vertebrae width (LUVWD), thurl width (THWD), pin bone width (PINWD), rump length (RUMPLN), cannon circumference (CANNCIR) and chest circumference (CHCIR) from birth to yearling age, were utilised in principal component and ridge regression analyses to study their relationship with body weight in Japanese Black cattle with an objective of fixing the problem of collinearity instability. The data comprised of a total of 10,543 records on calves born between 1937 and 2002 within the same herd under the same management. Simple pair wise correlation coefficients between the body measurements revealed positive, highly significant (P<0.001) values of 0.98 between WHT and HIPHT, HIPWD and LUVWD, while the lowest correlation of 0.50 was between CHDP and SHWD. Severe collinearity problems as portrayed by variance inflation factors (VIF) above 10 were evident in all body measurements ranging from 11.25 in PINWD to 46.94 in LUVWD except for SHWD (1.80), CHDP (3.70), CHWD (7.11) and CANNCIR (7.33). Principal component and ridge regression analyses allowed the derivation of new and more stable regression coefficients that overcame the problem of collinearity. Of all the body measurements studied, hip height was shown to be the least important for predicting the body weight of Japanese Black cattle, while SHWD and CHWD were the most important.

Item Type: Article
Keywords: Principal component Ridge regression Bodyweight Body measurements Japanese Black Cattle
Journal or Publication Title: Journal of Animal and Veterinary Advances
Page Range: pp. 856-863
ISSN: 1680-5593
Date Deposited: 12 Jan 2007
Last Modified: 18 Nov 2014 03:12
URI: http://eprints.utas.edu.au/id/eprint/588
Item Statistics: View statistics for this item

Repository Staff Only (login required)

Item Control Page Item Control Page