**NOTA BREVE**

**Varimax rotated principal component factor analysis of the zoometrical traits of Uda sheep**

**Análisis factorial de componentes principales con rotación varimax de características zootécnicas de la oveja Uda**

**Yakubu, A. ^{1*}, Salako, A.E.^{2} and Abdullah, A-R.^{3}**

^{1}Department of Animal Science. Faculty of Agriculture. Nasarawa State University. Keffi. Shabu-Lafia Campus. P.M.B. 135. Lafia. Nigeria. *abdul_mojeedy@yahoo.com ^{2}Animal Breeding and Genetics Unit. Department of Animal Science. University of Ibadan. Ibadan. Nigeria ^{3}Department of Agriculture. Statistics and Biotechnology. Babcock University. Illishan-Remo. Ogun State. Nigeria

**SUMMARY**

A study was conducted to determine the interdependence among the conformation traits of 359 Uda rams using principal component factor analysis. The body measurements were withers height, body length, heart girth, rump height, rump width, rump length, face length, foreleg length and shoulder width. Age group of animals was a significant (p<0.05) source of variation for the studied traits. The various constituent parts of the body developed at varying rates. From the factor analysis, with varimax rotation of the transformation matrix, two principal components were extracted, which accounted for 86.3% of the total variance. The first principal component alone explained 80.8% of the variation, and tended to describe general size, while the second principal component had its loadings for meat traits (rump width, shoulder width and rump length). The two extracted principal components could be considered in selection programmes to obtain animals with better conformation using fewer measurements.

**Key words:** Morpphometry. Age. Correlation. Multivariate analysis.

**RESUMEN**

Se realizó un estudio para determinar la interdependencia entre los caracteres de conformación de 359 carneros Uda usando el analisis de componentes principales. Las medidas corporales fueron: alzada a la cruz, longitud corporal, perímetro torácico, alzada a la grupa, ancho y longitud de grupa, longitud de la cara, longitud de pata delantera y la anchura de la espalda. Los animales fueron agrupados por edades en: dientes de leche, 2 dientes, 4 dientes, 6 dientes, 8 dientes y dientes desgastados. El grupo de edad de los animales fue una fuente de variación significativa (p<0,05) de los caracteres estudiados. Las distintas partes componentes del cuerpo se desarrollaron a diferentes ritmos. Del analisis factorial a partir de la rotación varimax de la matriz de transformación, se extrajeron dos componentes principales que explicaron el 86,3 de la varianza total. El primer componente principal por si sólo explicó el 80,8% de la variación y tendió a describir el tamaño general, mientras que el segundo componente principal, responde por los caracteres relacionados con la carne (ancho de grupa y espalda y longitud de la grupa). Los dos componentes principales extraidos podrían ser considerados en los programas de selección, para obtener animales con mejor conformación usando pocas medidas.

**Palabras clave:** Morfometría. Edad. Correlación. Análisis multivariado.

**Introduction**

*et al*., 1995).

Analysis of variance and product moment correlations are widely used to characterize phenotypic and genetic relationships among traits in a breeding programme. However, principal component analysis is a valuable refinement for analyzing data on linear body measurements and performance test traits (Miserani *et al*., 2002; Posta *et al*., 2007). Principal components, according to Johnson and Wichern (1998), are linear combinations of the original variables and are estimated in such a way that the first principal component explains the largest percentage of the total phenotypic variance. This pave way for the explanation and identification of trait groups, which can allow a quantitative measure for animal conformation and enable genetic parameters for this trait (conformation) to be estimated; thereby permitting its inclusion in breeding programmes.

Uda sheep are the second largest breed of sheep in Nigeria. They constitute 10% of the total population of 22.1 million sheep in the country, and are reared primarily for meat production (RIM, 1992). However, multivariate techniques have not been exploited in the objective description of their body conformation. The present investigation therefore set out to document changes in the morphometric traits of Uda sheep across age groups. It equally explored the relationships among body dimensions using principal component analysis with a view to reducing the number of body measurements required for genetic and breeding purposes.

**Materials and methods**

359 extensively managed Uda rams were randomly selected at the Bodija sheep and goat market, Ibadan in South-Western Nigeria. Uda sheep of six age groups were measured. The grouping was done using the number of permanent incisors as follows:<15.5 (milk-tooth age), 15.5 - 22.3 (2-tooth age), 22.3 - 28.3 (4 - tooth age), 28.3 - 38.8 (6tooth age), 38.8 - 48.8 (8-tooth age), and >48.8 months old (worn teeth age) respectively. Nine metric traits were measured on each animal following standard procedure and anatomical reference points described elsewhere (Yakubu, 2003). The body parts consisted of withers height (WH), body length (BL), heart girth (HG), rump height (RH), rump width (RW), rump length (RL), foreleg length (FL), face length (FAL) and shoulder width (SW).

Data collected were subjected to analysis of variance (ANOVA) using a general linear model. In the principal component factor analysis, Kaiser-Meyer- Olkin measures of sampling adequacy and Bartlett's Test of Sphericity (tests the null hypothesis that the original correlation matrix is an identity matrix) were computed to test the validity of the data set. Cumulative proportion of variance criterion was employed in determining the number of factors to extract. The varimax criterion of the orthogonal rotation method was employed for the rotation of the factor matrix. The overall reliability of the factor solution was tested using Chronbach's alpha (SPSS, 2001).

**Results**

Average values for linear body measurements of Uda rams at different age groups are presented in ** table I**. Age group significantly (p<0.05) influenced the body parameters.

In the factor analysis, the Kaiser-Meyer-Olkin measure of sampling adequacy (0.923) and Bartlett's test of sphericity (chi-square= 4729.699; p<0.01) indicated that true principal component factors existed in the data.

The Chronbach's alpha (0.920) revealed the reliability of the factor solution.

While the first two principal components explained approximately 86.3% of the total variance, the first principal component alone explained 80.8% (**table II**). The second principal component contributed to 5.5% of the variability of the original nine traits. The first principal component (general size) represented a weighted average of the ten traits. The second principal component had its loading for meat traits [rump width, shoulder width and rump length]. The communalities, which represent the proportion of the variance in the original variables that is accounted for by the factor solution, ranged from 0.755-0.954.

**Discussion**

*et al*., 1992); which is an indication that the essential body evolution of mammalian animals occurred before the maturity stage and growth follows a general pattern till maturity stage.

The first two principal components of the present study could be exploited in the evaluation and comparison of animals. Animals with large values for *general size* also gave larger values for the first principal component. This is similar to the findings of earlier workers in related species (Araujo *et al*., 2006; Yakubu, 2009). Both principal components could play a role in the ranking of the animals, and thus provide an opportunity to select the animals based on a group of variables rather than on isolated traits. According to Pinto *et al*. (2006), the selection of animals for any principal component will not cause correlated response in terms of other principal components. As a result of this, a selection index could be obtained. When this is applied to the present result, the selection index would have only two weighted coefficients that would facilitate its estimation compared to the index with ten traits. Similarly, Gusmao Filho *et al*. (2009) extracted five principal components from eleven original traits and concluded that these could be of great importance in the determination of body attributes of sheep in both reproduction and meat production.

**Conclusion**

In conclusion, the principal component factor analysis technique explored the interdependence in the original nine body measurements of Uda rams. These generated two principal components which tended to describe general size and meat traits (indices of body shape). This can be exploited in ranking animals, thus aiding in the reduction of the number of traits required for selection in a breeding programme.

**References**

Ali, A.K.A., Al-Enazi, M., Hayes, E. and Al-Saidy, M. 1995. Phenotypic factor and image analysis of type traits of Holstein cows in the Masstock Saudi herds. J. King Saud Univ. Agricul. Sci., 7: 143-161. [ Links ]

Araujo, J.P., Machado, H., Cantalapiedra, J., Iglesias, A., Petim-Batista, F., Colaco, J. and Sanchez, L. 2006. Biometric analysis of Portuguese Minhota cattle. Proceedings 8th World Congress on Genetics Applied to Livestock Production. August 13-18. Belo Horizonte, MG. Brazil. [ Links ]

]]>Gusmao Filho, J.D., Teodoro, S.M., Chaves, M.A. and Oliveira, S.S. 2009. Factorial analysis of morphometric measurements in Santa Ines like ovines. Arch. Zootec., 222: 289-292. [ Links ]

Johnson, R.A. and Wichern, D.W. 1998. Applied multivariate statistical analysis. 5th edition. Practice Hall. Texas. [ Links ]

Miserani, M.G., McManus, C., Santos, S.A., Silva, J.A., Mariante, A.S., Abreu, U.G.P., Mazza, M.C. and Sereno, J.R.B. 2002. Variance analysis for biometric measures of the Pantaneiro horse in Brazil. Arch. Zootec., 51: 113-120. [ Links ]

Pinto, L.F.B., Dacker, I.U., De melo, C.M.R., Ledur, M.C. and Coutinho, L.L. 2006. Principal components analysis applied to performance and carcass traits in the chicken. Anim. Res., 55: 419-425. [ Links ]

Posta, J., Komlosi, I. and Mihok, S. 2007. Principal component analysis of performance test traits in Hungarian sporthorse mares. Arch. Tierzucht Dummerstorf, 50: 125-135. [ Links ]

]]>RIM. 1992. Nigerian livestock resources: National synthesis. Resource Inventory and Management Ltd. Jersey, UK. [ Links ]

SPSS. 2001. Statistical package for the social sciences. SPSS Inc. New York. [ Links ]

Wiener, G., Lee, G.J. and Woolliams, J.A. 1992. Effects of rapid inbreeding and of crossing inbred lines on the growth of linear body dimensions of sheep. Anim. Prod., 55: 101-114. [ Links ]

Yakubu, A. 2003. Phenotypic variation in the body measurements of Uda sheep. Unpublished MSc. Thesis. University of Ibadan. Ibadan. pp. 64. [ Links ]

Yakubu, A. 2009. Principal component analysis of the morphostructural indices of White Fulani cattle. Trakia J. Sci., 7: 67-73. [ Links ]

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Recibido: 15-12-08

Aceptado: 26-11-09