Research Article
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Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity

Year 2020, Volume: 3 Issue: 4, 138 - 145, 01.10.2020

Cem Tırınk

https://doi.org/10.34248/bsengineering.789200
Cited By: 2

Abstract

In this study, it was aimed to compare the performance of proposed estimators in the presence of multicollinearity that will be used in regression analysis as an alternative to Least Squares. Birth weight was estimated by using placental features such as sex, placental efficiency, total cotyledon numbers, large cotyledon weight, medium cotyledon weight, small cotyledon weight, large cotyledon number, medium cotyledon number, small cotyledon number, large cotyledon width, medium cotyledon width, small cotyledon width, large cotyledon length, medium cotyledon length, small cotyledon length, large cotyledon depth, medium cotyledon depth, small cotyledon depth for Bafra sheep breed. In the presence of multicollinearity, more reliable models can be obtained by using some estimator. The performances of the Ridge and Liu estimators, which are suggested methods for this situation, were compared. MSE, RMSE, rRMSE, MAPE, R2, and AIC were used as model comparison criteria. As a result of, in the presence of multicollinearity; Liu estimator is recommended as an alternative method to Least Squares.

Keywords

Least squares Ridge estimator Liu estimator Multicollinearity Placental characteristics

References

  • Albayrak AS. 2005. An alternative bias estimation technique and an application of the least-squares technique in multiple linear connections. Zonguldak Karaelmas Univ J Soc Sci, 1: 105-126.
  • Alkass JE, Merkhan KY, Hamo RAH. 2013. Placental traits and their relation with birth weight in Meriz and Black goats. Sci J Anim Sci, 2: 168–172.
  • Alpu O, Samkar H. 2010. Liu estimator based on an m estimator. Turkiye Klinikleri J Biostat, 2 (2): 49-53.
  • Ari A, Onder H. 2013. Regression models used for different data structures. Anadolu J Agr Sci, 28 (3): 168-174.
  • Brzozowska A, Wojtasiak N, Błaszczyk B, Stankiewicz T, Wieczorek-Dąbrowska M, Udała J. 2020. The effects of non-genetic factors on themorphometric parameters of sheep placenta and the birth weight of lambs. Large Anim Rev, 26: 119-126.
  • Cankaya S, Eker S, Abaci SH. 2019. Comparison of Least Squares, Ridge Regression and Principal Component Approaches in the Presence of Multicollinearity in Regression Analysis. Turkish J Agriculture-Food Sci and Tech, 7(8): 1166-1172. DOI: 10.24925/turjaf.v7i8.1166-1172.2515.
  • Dwyer CM, Calvert SK, Farish M, Donbavand J, Pickup HE. 2005. Breed, litter and parity effects on placental weight and placentome number and consequences for the neonatal behavior of the lamb. Theriogenology, 63: 1092-1110.
  • Echternkamp SE: 1993. Relationship between placental development and calf birth weight in beef cattle. Anim Reprod Sci, 32; 1–13.
  • Eyduran E. 2020. ehaGoF: calculates goodness of fit statistics. R package version 0.1.1. URL: https://CRAN.R-project.org/package=ehaGoF (erişim tarihi: 17.08.2020).
  • Hoerl AE, Kennard RW. 1970. Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12 (1): 55-67. DOI: 10.2307/1267351.
  • Imdad MU, Aslam M. 2018a. lmridge: linear ridge regression with ridge penalty and ridge statistics. URL: https://CRAN.R-project.org/package=lmridge, R package version 1.2. (erişim tarihi: 17.08.2020). Imdad MU, Aslam M. 2018b. liureg: liu regression with liu biasing parameters and statistics. URL: https://CRAN.R-project.org/package=liureg, R package version 1.1.2. (erişim tarihi: 15.08.2020).
  • Konyali A, Tölü C, Daş G, Savaş T. 2007. Factors affecting placental traits and relationships of placental traits with neonatal behaviour in goat. Anim Reprod Sci, 97: 394–401.
  • Kurtulus M. 2001. A study on ridge regression. Master Thesis. Gazi University, Graduate School of Natural and Applied Sciences, p. 42, Ankara.
  • Kutner MH, Nachtsheim CJ, Neter J, Li W. 2004. Applied linear statistical models. 5th edition, McGraw‐Hill/Irwin, New York.
  • Liu K. 1993. A new class of biased estimate in linear regression. Comm Statist Theory Methods, 22(2): 393-402.
  • Onder H, Abaci SH. 2015. Path analysis for body measurements on body weight of saanen kids. Kafkas Univ Vet Fak Derg, 21(3): 351-354, DOI: 10.9775/kvfd.2014.12500.
  • Osgerby JC, Gadd TS, Wathes DC. 2003. The effects of maternal nutrition and body condition on placental and foetal growth in the ewe. Placenta, 24: 236–247. DOI: 10.1053/plac.2002.0902.
  • Ozyurek S, Turkyilmaz D. 2020. Determination of relationships between placental characteristics and birth weight in Morkaraman sheep. Arch Anim Breed, 63: 39–44. DOI: 10.5194/aab-63-39-2020.
  • Ozyurek S. 2019. Investigation of the relationship between kids vitality and placental characteristics in Hair goats. Large Anim Rev, 25: 173–177.
  • R Core Team. 2019. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL: https://www.R-project.org/.
  • R Core Team. 2020. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL: https://www.R-project.org/.
  • Sarstedt M, Mooi E, 2014. A concise guide to market research. Heidelberg: Springer Texts in Business and Economics. Chapter 7: Regression Analysis; p. 193-233. DOI: 10.1007/978-3-642-53965-7_7, #Springer-Verlag Berlin Heidelberg.
  • Sen U, Sirin E, Kuran M. 2013. The effect of maternal nutritional status during mid-gestation on placental characteristics in ewes. Animal Reprod Sci, 137: 31-36.
  • Sen U, Sirin E, Onder H. 2019. Establishment of effective placental characteristics on birth weight in karayaka sheep breed with path analysis. In: International Congress on Domestic Animal Breeding, Genetics and Husbandry 2019 (ICABGEH-19); 2019 September 11-13; Prague, CZECHIA.
  • Sen U, Onder H. 2016. Poor placental traits reduce kid birth weight in young Saanen dams at the first parity. Turkish J Vet and Anim Sci, 40: 554-561.
  • Tatliyer A. 2020. The effects of raising type on performances of some data mining algorithms in lambs. KSU J Agric Nat, 23(3): 772-780. DOI:10.18016/ksutarimdoga.vi.651232.
  • Tirink C, Onder H, Kurnaz FS. 2019. Comparison of least square method, ridge and liu estimators in saanen goats. In: International Congress on Domestic Animal Breeding Genetics and Husbandry 2019; 2019 September 11-13, Prague, CZECHIA. p. 130.
  • Tirink C, Abacı SH, Önder H. 2020. Comparison of ridge regression and least squares methods in the presence of multicollinearity for body measurements in saanen kids. J Institute of Sci and Tech, 10(2): 1429-1437, ISSN: 2146-0574, eISSN: 2536-4618.
  • Topal M, Eyduran E, Yaganoglu AM, Sonmez AY, Keskin S, 2010. Use of ridge and principal component regression analysis methods in multicollinearity. J Agri Fac of Atatürk Univ, 41(1): 53-57. ISSN: 1300-9036.
  • Uckardes F, Efe E, Narinc D, Aksoy T. 2012. Estimation of the egg albumen index in the Japanese quails with ridge regression method. Akademik Ziraat Derg, 1 (1): 11-20.
  • Vupa O, Gurunlu Alma O. 2008. Investigation of multicollinearity problem in small samples included outlier value in linear regression analysis. Selcuk Univ J Sci Fac, 31: 97-107.

Year 2020, Volume: 3 Issue: 4, 138 - 145, 01.10.2020

Cem Tırınk

https://doi.org/10.34248/bsengineering.789200
Cited By: 2

Abstract

References

  • Albayrak AS. 2005. An alternative bias estimation technique and an application of the least-squares technique in multiple linear connections. Zonguldak Karaelmas Univ J Soc Sci, 1: 105-126.
  • Alkass JE, Merkhan KY, Hamo RAH. 2013. Placental traits and their relation with birth weight in Meriz and Black goats. Sci J Anim Sci, 2: 168–172.
  • Alpu O, Samkar H. 2010. Liu estimator based on an m estimator. Turkiye Klinikleri J Biostat, 2 (2): 49-53.
  • Ari A, Onder H. 2013. Regression models used for different data structures. Anadolu J Agr Sci, 28 (3): 168-174.
  • Brzozowska A, Wojtasiak N, Błaszczyk B, Stankiewicz T, Wieczorek-Dąbrowska M, Udała J. 2020. The effects of non-genetic factors on themorphometric parameters of sheep placenta and the birth weight of lambs. Large Anim Rev, 26: 119-126.
  • Cankaya S, Eker S, Abaci SH. 2019. Comparison of Least Squares, Ridge Regression and Principal Component Approaches in the Presence of Multicollinearity in Regression Analysis. Turkish J Agriculture-Food Sci and Tech, 7(8): 1166-1172. DOI: 10.24925/turjaf.v7i8.1166-1172.2515.
  • Dwyer CM, Calvert SK, Farish M, Donbavand J, Pickup HE. 2005. Breed, litter and parity effects on placental weight and placentome number and consequences for the neonatal behavior of the lamb. Theriogenology, 63: 1092-1110.
  • Echternkamp SE: 1993. Relationship between placental development and calf birth weight in beef cattle. Anim Reprod Sci, 32; 1–13.
  • Eyduran E. 2020. ehaGoF: calculates goodness of fit statistics. R package version 0.1.1. URL: https://CRAN.R-project.org/package=ehaGoF (erişim tarihi: 17.08.2020).
  • Hoerl AE, Kennard RW. 1970. Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12 (1): 55-67. DOI: 10.2307/1267351.
  • Imdad MU, Aslam M. 2018a. lmridge: linear ridge regression with ridge penalty and ridge statistics. URL: https://CRAN.R-project.org/package=lmridge, R package version 1.2. (erişim tarihi: 17.08.2020). Imdad MU, Aslam M. 2018b. liureg: liu regression with liu biasing parameters and statistics. URL: https://CRAN.R-project.org/package=liureg, R package version 1.1.2. (erişim tarihi: 15.08.2020).
  • Konyali A, Tölü C, Daş G, Savaş T. 2007. Factors affecting placental traits and relationships of placental traits with neonatal behaviour in goat. Anim Reprod Sci, 97: 394–401.
  • Kurtulus M. 2001. A study on ridge regression. Master Thesis. Gazi University, Graduate School of Natural and Applied Sciences, p. 42, Ankara.
  • Kutner MH, Nachtsheim CJ, Neter J, Li W. 2004. Applied linear statistical models. 5th edition, McGraw‐Hill/Irwin, New York.
  • Liu K. 1993. A new class of biased estimate in linear regression. Comm Statist Theory Methods, 22(2): 393-402.
  • Onder H, Abaci SH. 2015. Path analysis for body measurements on body weight of saanen kids. Kafkas Univ Vet Fak Derg, 21(3): 351-354, DOI: 10.9775/kvfd.2014.12500.
  • Osgerby JC, Gadd TS, Wathes DC. 2003. The effects of maternal nutrition and body condition on placental and foetal growth in the ewe. Placenta, 24: 236–247. DOI: 10.1053/plac.2002.0902.
  • Ozyurek S, Turkyilmaz D. 2020. Determination of relationships between placental characteristics and birth weight in Morkaraman sheep. Arch Anim Breed, 63: 39–44. DOI: 10.5194/aab-63-39-2020.
  • Ozyurek S. 2019. Investigation of the relationship between kids vitality and placental characteristics in Hair goats. Large Anim Rev, 25: 173–177.
  • R Core Team. 2019. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL: https://www.R-project.org/.
  • R Core Team. 2020. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL: https://www.R-project.org/.
  • Sarstedt M, Mooi E, 2014. A concise guide to market research. Heidelberg: Springer Texts in Business and Economics. Chapter 7: Regression Analysis; p. 193-233. DOI: 10.1007/978-3-642-53965-7_7, #Springer-Verlag Berlin Heidelberg.
  • Sen U, Sirin E, Kuran M. 2013. The effect of maternal nutritional status during mid-gestation on placental characteristics in ewes. Animal Reprod Sci, 137: 31-36.
  • Sen U, Sirin E, Onder H. 2019. Establishment of effective placental characteristics on birth weight in karayaka sheep breed with path analysis. In: International Congress on Domestic Animal Breeding, Genetics and Husbandry 2019 (ICABGEH-19); 2019 September 11-13; Prague, CZECHIA.
  • Sen U, Onder H. 2016. Poor placental traits reduce kid birth weight in young Saanen dams at the first parity. Turkish J Vet and Anim Sci, 40: 554-561.
  • Tatliyer A. 2020. The effects of raising type on performances of some data mining algorithms in lambs. KSU J Agric Nat, 23(3): 772-780. DOI:10.18016/ksutarimdoga.vi.651232.
  • Tirink C, Onder H, Kurnaz FS. 2019. Comparison of least square method, ridge and liu estimators in saanen goats. In: International Congress on Domestic Animal Breeding Genetics and Husbandry 2019; 2019 September 11-13, Prague, CZECHIA. p. 130.
  • Tirink C, Abacı SH, Önder H. 2020. Comparison of ridge regression and least squares methods in the presence of multicollinearity for body measurements in saanen kids. J Institute of Sci and Tech, 10(2): 1429-1437, ISSN: 2146-0574, eISSN: 2536-4618.
  • Topal M, Eyduran E, Yaganoglu AM, Sonmez AY, Keskin S, 2010. Use of ridge and principal component regression analysis methods in multicollinearity. J Agri Fac of Atatürk Univ, 41(1): 53-57. ISSN: 1300-9036.
  • Uckardes F, Efe E, Narinc D, Aksoy T. 2012. Estimation of the egg albumen index in the Japanese quails with ridge regression method. Akademik Ziraat Derg, 1 (1): 11-20.
  • Vupa O, Gurunlu Alma O. 2008. Investigation of multicollinearity problem in small samples included outlier value in linear regression analysis. Selcuk Univ J Sci Fac, 31: 97-107.
There are 31 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Cem Tırınk 0000-0001-6902-5837

Publication Date October 1, 2020
Submission Date September 1, 2020
Acceptance Date September 10, 2020
Published in Issue Year 2020 Volume: 3 Issue: 4

Cite

APA Tırınk, C. (2020). Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity. Black Sea Journal of Engineering and Science, 3(4), 138-145. https://doi.org/10.34248/bsengineering.789200
AMA Tırınk C. Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity. BSJ Eng. Sci. October 2020;3(4):138-145. doi:10.34248/bsengineering.789200
Chicago Tırınk, Cem. “Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity”. Black Sea Journal of Engineering and Science 3, no. 4 (October 2020): 138-45. https://doi.org/10.34248/bsengineering.789200.
EndNote Tırınk C (October 1, 2020) Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity. Black Sea Journal of Engineering and Science 3 4 138–145.
IEEE C. Tırınk, “Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity”, BSJ Eng. Sci., vol. 3, no. 4, pp. 138–145, 2020, doi: 10.34248/bsengineering.789200.
ISNAD Tırınk, Cem. “Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity”. Black Sea Journal of Engineering and Science 3/4 (October 2020), 138-145. https://doi.org/10.34248/bsengineering.789200.
JAMA Tırınk C. Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity. BSJ Eng. Sci. 2020;3:138–145.
MLA Tırınk, Cem. “Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity”. Black Sea Journal of Engineering and Science, vol. 3, no. 4, 2020, pp. 138-45, doi:10.34248/bsengineering.789200.
Vancouver Tırınk C. Estimating of Birth Weight Using Placental Characteristics in The Presence of Multicollinearity. BSJ Eng. Sci. 2020;3(4):138-45.

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