Application of multivariate principal component analysis on dimensional reduction of milk compositio

Page 1

Journal of Research in Biology

ISSN No: Print: 2231 –6280; Online: 2231- 6299

An International Scientific Research Journal

Original Research

Journal of Research in Biology

Application of multivariate principal component analysis on dimensional reduction of milk composition variables Authors: Alphonsus C1, Akpa GN1, Nwagu BI2, Abdullahi I2, Zanna M3, Ayigun AE3, Opoola E3, Anos KU3, Olaiya O3 and OlayinkaBabawale OI3 Institution: 1. Animal Science Department, Ahmadu Bello University, Zaria, Nigeria. 2. National Animal Production Research Institute, Shika-Zaria 3. Kabba College of Agriculture, Ahmadu Bello University, Kabba, Nigeria

ABSTRACT:

Variable selection and dimension reduction are major prerequisites for reliable multivariate regression analysis. Most a times, many variables used as independent variables in a multiple regression display high degree of correlations. This problem is known as multicollinearity. Absence of multicollinearity is essential for multiple regression models, because parameters estimated using multi-collinear data are unstable and can change with slight change in data, hence are unreliable for predicting the future. This paper presents the application of Principal Component Analysis (PCA) on the dimension reduction of milk composition variables. The application of PCA successfully reduced the dimension of the milk composition variables, by grouping the 17 milk composition variables into five principal components (PCs) that were uncorrelated and independent of each other, and explained about 92.38% of the total variation in the milk composition variables.

Corresponding author: Alphonsus C

Keywords: Principal component analysis, eigenvalues, communality

Email Id:

Article Citation: Alphonsus C, Akpa GN, Nwagu BI, Abdullahi I, Zanna M, Ayigun AE, Opoola E, Anos KU, Olaiya O and Olayinka-Babawale OI Application of multivariate principal component analysis on dimensional reduction of milk composition variables Journal of Research in Biology (2014) 4(8): 1526-1533

Web Address: http://jresearchbiology.com/ documents/RA0489.pdf

Dates: Received: 27 Oct 2014

Accepted: 15 Nov 2014

Published: 03 Dec 2014

This article is governed by the Creative Commons Attribution License (http://creativecommons.org/ licenses/by/4.0), which gives permission for unrestricted use, non-commercial, distribution and reproduction in all medium, provided the original work is properly cited. Journal of Research in Biology An International Scientific Research Journal

1526-1533| JRB | 2014 | Vol 4 | No 8

www.jresearchbiology.com


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