Prediction of Albumen Height Based on Egg Quality Traits by Principal Components Regression

Authors

DOI:

https://doi.org/10.5281/zenodo.18234774

Keywords:

Multicollinearity problem, Principal components regression method (PCR), Egg characteristics

Abstract

In this study, multiple linear regression analysis and principal component regression (PCR) method were used to predict the albumen height of Atak-S layer hen eggs. Initially, the effects of independent variables on albumen height were examined through multiple linear regression analysis, revealing that egg weight and Haugh unit had statistically significant impacts. Other factors such as egg size, shape index, and shell thickness did not have a significant effect. The explanatory power of the model was found to be high, as it explained 96 % of the total variation in albumen height. Subsequently, PCR was applied to address issues related to multicollinearity problem, and only three principal components (PC1, PC2, and PC3) were included in the model. The effects of these components on albumen height were found to be significant, with particular emphasis on the importance of morphological parameters (egg size and shell structure) in predicting internal egg quality. The PCR model demonstrated high predictive performance, accurately forecasting albumen height. In conclusion, the PCR method used in this study provided a robust model for predicting albumen height and highlighted the critical role of morphological characteristics in determining egg quality. Future studies could test the generalizability of this model using different hen breeds and larger sample sizes, as well as investigate the effects of environmental factors and feeding strategies.

References

Abdi, H., & Williams, L. J. (2010). Principal component analysis. Wiley Interdisciplinary Reviews: Computational Statistics, 2(4), 433–459.

Adenaike, A. S., Akpan, U., & Ikeobi, C. O. N. (2015). Principal component regression of body measurements in five strains of locally adapted chickens in Nigeria. Thai Journal of Agricultural Science, 48(4), 217–225.

Akçay, A., & Sarıözkan, S. (2015). Estimation of income in egg production using Ridge Regression analysis. Ankara Üniversitesi Veteriner Fakültesi Dergisi, 62(1), 69–74.

Aktan, S. (2004). Determining some exterior and interior quality traits of quail eggs and phenotypic correlations by digital image analysis. Journal of Animal Production, 45(1), 7–13.

Albayrak, S. A. (2005). Biased estimation techniques as an alternative to the least squares method in the presence of multicollinearity and an application. International Journal of Management and Economics Business, 1(1), 105–126.

Çankaya, S., Eker, S., & Abacı, Ş. H. (2019). Comparison of least squares, ridge regression and principal component approaches in the presence of multicollinearity in regression analysis. Turkish Journal of Agricultural Food Science and Technology, 7(8), 1166–1172.

Duman, M., Şekeroğlu, A., Yıldırım, A., & Eleroğlu, H. (2016). Relation between egg shape index and egg quality characteristics. European Poultry Science, 80, 1–9.

Gök, İ., & Kurşun, K. (2025). Prediction model of albumen index and height in Japanese quail eggs via external quality characteristics. International Journal of Agriculture, Environment and Food Sciences, 9(2), 493–501.

Jolliffe, I. T., & Cadima, J. (2016). Principal component analysis: A review and recent developments. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374(2065), 20150202.

Kaya, E., & Aktan, S. (2011). Flock age and hatching egg storage duration in Japanese quails: 1. Effects on dark eggshell traits. Süleyman Demirel Üniversitesi Ziraat Fakültesi Dergisi, 6(2), 30–38.

Kebede, K., Getachew, A., & Urge, M. (2022). Principal components regression of internal egg quality traits in two exotic chicken breeds in Haramaya. Journal of Food Chemistry and Nanotechnology, 8(3), 102–107.

Kurşun, K., & Gök, İ. (2025). Prediction model of albumen index in duck eggs via external egg quality characteristics in case of multicollinearity. Black Sea Journal of Agriculture, 8(4), 525–532. https://doi.org/10.47115/bsagriculture.1655436

Kurşun, K., Çelik Güney, M., & Baylan, M. (2024). Comparison of internal and external egg quality traits in domestic and foreign layer chicken hybrids (Atabey, Decalp, and Nick). Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 7(1), 141–149.

Maxwell, S. E. (2000). Sample size in multiple regression analysis. Psychological Methods, 5(4), 434–458. https://doi.org/10.1037/1082-989X.5.4.434

Montgomery, D. C., Peck, E. A., & Vining, G. G. (2001). Introduction to linear regression analysis (3rd ed.). John Wiley & Sons.

Montgomery, D. C., Peck, E. A., & Vining, G. G. (2021). Introduction to linear regression analysis (6th ed.). Wiley.

Okur, N., Eratalar, S. A., & Yaman, A. (2018). Relationships among some quality characteristics in broiler hatching eggs. Turkish Journal of Agricultural and Natural Sciences, 5(3), 298–302. https://doi.org/10.30910/turkjans.448368

Olawumi, S., & Chiristiana, B. (2017). Phenotypic correlations between external and internal egg quality traits of Coturnix quails are under intensive housing system. Journal of Applied Life Sciences International, 12(3), 1–6.

Sarı, M., Tilki, M., & Saatçi, M. (2016). Genetic parameters of egg quality traits in long-term pedigree recorded Japanese quail. Poultry Science, 95(8), 1743–1749. https://doi.org/10.3382/ps/pew118

Shafey, T. M., Elsayed, O. S. H., Mahmoud, A. H., & Abouheif, M. A. (2015). Managing colllinearity in modeling the effect of age in the prediction of egg components of laying hens using stepwise and Ridge regression analysis. Brazilian Journal of Poultry Science, 17(4), 473–482.

Silversides, F. G., & Budgell, K. (2004). The relationships among measures of egg albumen height, pH, and whipping volume. Poultry Science, 83(10), 1619–1623. https://doi.org/10.1093/ps/83.10.1619

Tırınk, C., Abacı, Ş. H., & Önder, H. (2020). Comparison of Ridge regression and Least Squares Methods in the presence of multicollinearity for body measurements in Saanen kids. Journal of the Institute of Science and Technology, 10(8), 1429–1437. https://doi.org/10.21597/jist.671662

Uçar, A., & Kahya, Y. (2020). The comparison of weight and shape related traits in eggs from different chicken genotypes. Turkish Journal of Agriculture Food Science and Technology, 12(12), 2571–2578.

Üçkardeş, F., Efe, E., Narinç, D., & Aksoy, T. (2012). Estimation of albumen index in Japanese quails using the Ridge regression method. Academic Journal of Agriculture, 1(1), 11–20.

Vekić, M., Savić, Đ., & Jotanović, S. (2022). Phenotypic correlations between egg quality traits amid the laying phase of broiler breeder hens. Contemporary Agriculture, 71(1–2), 13–19. https://doi.org/10.2478/contagri-2022-0003

Yannakopoulos, A. L., & Tserveni-Gousi, A. S. (1986). Quality characteristics of quail eggs. British Poultry Science, 27(2), 171–176.

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Published

2025-12-15

How to Cite

IŞIK TAÇYILDIZ, S. Şerife. (2025). Prediction of Albumen Height Based on Egg Quality Traits by Principal Components Regression. Black Sea Journal of Statistics, 1(2), 41–46. https://doi.org/10.5281/zenodo.18234774

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Original Research Article