Usability of the Factor Analysis Scores in Multiple Linear Regression Analyses for the Prediction of Daily Milk Yield in Norduz Goats

Authors
1 Minestry of Food Agriculture Livestok of Turkey, Genetic Directorate Agricultural Research and Policies, Ankara, Turkey.
2 Department of Biostatistics, Faculty of Medicine, Yuzuncu Yil University, Van, Turkey.
3 Department of Animal Science, Faculty of Agriculture, Yuzuncu Yil University, Van, Turkey.
Abstract
The aim of this study was to determine the relationship between daily milk yield and udder traits using multiple regression analyses in order to predict daily milk yield in Norduz goats. 10 udder traits including upper udder height, bottom udder height, udder depth, udder width, udder circumference, left teat length, right teat length, left teat circumference, right teat circumference and teat angle. The data was collected from 27 Norduz goats raised in pastoral conditions in the Norduz region of Van province South Eastern Turkey. Factor analysis was employed to simplify the complex relationships between udder traits. After the udder traits were exposed to factor analysis, four factors with Eigen values greater than 1 were selected as explanatory (independent) variables and used for multiple linear regression analysis. First factor was named teat factor, second and third factors were named udder factors while the fourth was udder bottom height. The 2nd and 3rd factors, which were significant, were then used to fit the regression model. The study found that two udder factors had significant statistical effect on daily milk yield and these factors together had accounted for 78.6 % of the variation in daily milk yield. The findings of this study showed that both multivariate and univariate approaches can be used to determine the relationship between milk yield and udder traits. In addition, these statistical approaches may also be useful to eliminate multicollinearity problems among large number of variables. In conclusion, the study proved that both univariate and multivariate methods can be applied successfully to predict daily milk yield using udder traits in goats.

Keywords


1. Akpa, G. N., Asiribo, O. E., Oni, O. O., Alawa, J. P., Dim, N. I. and Osinowo, O. A. 2002. Milk Production by Agro Pastoral Red Sokoto Goats in Nigeria. Trop. Anim. Health Prod., 34: 525-533.
2. Ángels Pérez-Cabal, M., Legaz, E., Cervantes, I., De la Fuente, L. F., Martínez, R., Goyache, F. and Gutiérrez, J. P. 2013. Association between Body and Udder Morphological Traits and Dairy Performance in Spanish Assaf Sheep. Arch. Tierzucht, 56: 430-442.
3. Anonymous. 2000. MINITAB Statistical Software. Minitab Inc. USA.
4. Ayadi, M., Such, X., Ezzehizi, N., Zouari, M., Najar, T., Ben, M., Rad, M. and Casals, R. 2011. Relationship between Mammary Morphology Traits and Milk Yield of Sicilo-Sarde Dairy Sheep in Tunisia. Small Rumin. Res., 96: 41–45.
5. Burke, B. P. and Funk, D. A. 1993. Relationship of under Different Linear Type Traits and Herd Life Management Systems. J. Dairy Sci., 76: 2773-2782.
6. De la Fuente, L. F., Fernandez, G. and San Primitivo, F. 1999. A Linear Evaluation System for Udder Traits of Dairy Ewes. Livestock Prod. Sci., 45: 171-178.
7. Draper, N. R. and Smith, H. 1998. Applied Regression Analysis. John Wiley and Sons Inc., New York, 706 PP.
8. Emediato, R. M. S., Siqueira, E. R., Stradiotto, M. M., Maesta, S. A and Fernandes, S. 2008. Relationship between Udder Measurements and Milk Yield in Bergamasca Ewes in Brazil. Small Rumin. Res., 75: 232–235.
9. Eyduran, E., Topal, M. and Sonmez, A. Y. 2010. Use of Factor Scores in Multiple Regression Analysis for Estimation of Body Weight by Several Body Measurements in Brown Trouts (Salmo trutta Fario). Int. J. Agric. Biol., 12: 611-615.
10. Eyduran, E., Topal, M., Sonmez, A.Y. and Keskin, S. 2012. Carcass Weight Estimation from Some Morphological Traits of Capoeta capoeta Capoeta (Güldenstädt, 1772) Using Factor Scores in Multiple Regression Analysis. Pak. J. Stat., 28: 159-165.
11. Fernandez, G., Alvarez, P., San Primitivo, F. and De La Fuente, L. F. 1995. Factors Affecting Variation of Udder Traits of Dairy Ewes. J. Dairy Sci., 78: 842-849.
12. Iniguez, L., Hilali, M., Thomas, D. L. and Jesry, G. 2011. Udder Measurements and Milk Production in Two Awassi Sheep Genotypes and Their Crosses. J. Dairy Sci., 92: 4613–4620.
13. Johnson, R. A. and Wichern, D. W. 2002. Applied Multivariate Statistical Analysis. Prentice Hall, upper Saddle River, New Jersey, USA, 766 PP.
14. Keskin, S., Kor, A. and Karaca, S. 2007a. Use of Factor Analysis Scores in Multiple Linear Regression Model for Determining Relationships between Milk Yield and Some Udder Traits in Goats. J. Appl. Anim. Res., 31: 185-188.
15. Keskin, S., Daskiran, I and Kor, A. 2007b. Factor Analysis Scores in a Multiple Linear Regression Model for the Prediction of Carcass Weight in Akkeci Kids. J. Appl. Anim Res., 31: 201-204.
16. Khan, M. A., Tariq, M. M., Eyduran E., Tatliyer, A., Rafeeq, M., Abbas, F., Rashid, N., Awan M. A. and Javed, K. 2014. Estimating Body Weight from Several Body Measurements in Harnai Sheep without Multicollinearity Problem. J. Anim. Plant Sci., 24(1): 120-126
17. Makovicky, P. Nagy, M. and Makovicky, P. 2013. Comparison of External Udder Measurements of the Sheep Breeds Improved Valachian, Tsigai, Lacaune and Their Crosses. Chile. J. Agric. Res., 73(4): 366-371.
18. Makovicky, P., Margetin, M. and Makovicky, P. 2015a. Genetic Parameters for the Linear Udder Traits of Nine Dairy Ewes: Short Communication. Veterinarski Arhiv., 85(5): 577-582.
19. Makovický, P., Margetín, M. and Milerski, M. 2015b. Estimation of Udder Cistern Size in Dairy Ewes by Ultrasonography. Mljekarstvo, 65(3): 210-218.
20. Marie-Etancelin, C., Astruc, J. M., Portec, D., Larroqued, H. and Robert-Granie´, A. C. 2005. Multiple-Trait Genetic Parameters and Genetic Evaluation of Udder-Type Traits in Lacaune Dairy Ewes. Livest. Prod. Sci., 97: 211-218.
21. Merkhan, K. Y. 2014. Milk Traits and Their Relationship with Udder Measurements in Awassi Ewes. Iran. J. Appl. Anim. Sci., 4(3): 521-526.
22. Merkhan, K. Y. and Alkass, J. E. 2011. Influence of Udder and Teat Size on Milk Yield in Black and Meriz Goats. Res. Opin. Anim. Vet. Sci., 1(9): 601-605
23. Milerski, M., Margetin, M., Čapistrak, A., Apolen, D., Španik, J. and Oravcova, M. 2006. Relationships between External and Internal Udder Measurements and the Linear Scores for Udder Morphology Traits in Dairy Sheep. Czech J. Anim. Sci., 51: 383-390.
24. Peris, S., Caj, A. G. and Such, X. 1999. Relationships between Udder and Milking Traits in Murciano-Granadina Dairy Goats. Small Rumin. Res., 33: 171-179.
25. Rogers, O. W. and Spencer, S. B. 1991. Relationship among Udder and Teat Morphology and Milking Characteristics. J. Dairy Sci., 74(12): 74418-74431.
26. Sapp, R. L., Rekaya, R. and Bertrand, J. K. 2004. Teat Scores in First-Parity Gelbvieh Cows: Relationship with suspensory Score and Calf Growth Traits. J. Anim. Sci., 82: 2277–2284.
27. Serrano, M., Perez-Guzman, M. D., Montoro, V. and Jurado, J. J. 2002. GeneticA of udder Traits in Manchega Ewes. Livest. Prod. Sci., 77: 355–361.
28. Sharma, S. 1996. Applied Multivariate Techniques. John Wiley and Sons, Inc., New York, USA, 493 PP.
29. Tabachnick, B. G. and Fidell, L. S. 2001 Using Multivariate Statistics. Allyn and Bacon A Pearson Education Company, Boston, USA, 966 PP.
30. Tilki, M., Inal, S., Colak, M. and Garip, M. 2005. Relationships between Milk Yield and Udder Measurements in Brown Swiss Cows. Turk. J. Vet. Anim. Sci., 29: 75-81.