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Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey

Cilt: 2 Sayı: 2 9 Ekim 2017
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Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey

Öz

Beta regression assumes that the dependent variable follows a beta distribution and that its mean is related to a set of exploratory variables through a linear predictor with unknown coefficients and a link function. The model also includes a dispersion parameter. This paper describes the beta regression model along with its properties. The application of the model is made on well-being index data of Turkey 2015, which comprise the dimensions of housing, work, income and wealth, health, education, environment, safety, civic participation and access to infrastructure services and social life. As the life satisfaction index lies between 0 and 1 and the values close to 1 refers to a better level of life. Beta regression fits the data well and the regression parameters are well interpreted in terms of the mean of the response variable.

Anahtar Kelimeler

Kaynakça

  1. [1] Ferrari S. , Cribari-Neto, F. Beta Regression for Modelling Rates and Proportions, Journal of Applied Statistics, 31(7) (2004): 799-815.
  2. [2] Swearingen, C.J., Castro, M.S.M. & Bursac, Z. Modeling percentage outcomes: the %Beta Regression macro. SAS Global Forum 2011, (2011) Paper 335-2011. Available at http://support.sas.com/resources/papers/proceedings11/335-2011.pdf.
  3. [3] Smithson M, Verkuilen J. A better lemon squeezer? Maximum-likelihood regression with beta-distributed dependent variables. Psychol Methods, 11(1) (2006):54–71.
  4. [4] Ospina, R., Cribari-Neto, F., and Vasconcellos, K.LP. Improved point and interval estimation for a beta regression model. Computational Statistics & Data Analysis, 51(2) (2006):960–981.
  5. [5] Paolino P. Maximum likelihood estimation of models with beta-distributed dependent variables. Political Analysis, 9(2011):325-346.
  6. [6] Kieschnick R, McCullough BD. Regression analysis of variates observed on (0,1): percentages, proportions and fractions. Statistical Modelling, 3(2003):193-213.
  7. [7] Rocha AV, Simas AB.. Influence diagnostics in a general class of beta regression models. Test, epub 23.Swearingen CJ, Melguizo castro MS, and Bursac Z. Modeling percentage outcomes: The %Beta_Regression macro. SAS® Global Forum Proceedings (2011); Paper 335:1–12.
  8. [8] Cribari-Neto F, Zeileis A. Beta Regression in R.” Journal of Statistical Software, 34(2) (2010) 1–24.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Hande Ünlü
Hacettepe University
Türkiye

Serpil Aktaş
Hacettepe University
Türkiye

Yayımlanma Tarihi

9 Ekim 2017

Gönderilme Tarihi

13 Haziran 2017

Kabul Tarihi

3 Ekim 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Ünlü, H., & Aktaş, S. (2017). Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey. Journal of Engineering Technology and Applied Sciences, 2(2), 101-111. https://doi.org/10.30931/jetas.321165
AMA
1.Ünlü H, Aktaş S. Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey. Journal of Engineering Technology and Applied Sciences. 2017;2(2):101-111. doi:10.30931/jetas.321165
Chicago
Ünlü, Hande, ve Serpil Aktaş. 2017. “Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey”. Journal of Engineering Technology and Applied Sciences 2 (2): 101-11. https://doi.org/10.30931/jetas.321165.
EndNote
Ünlü H, Aktaş S (01 Ekim 2017) Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey. Journal of Engineering Technology and Applied Sciences 2 2 101–111.
IEEE
[1]H. Ünlü ve S. Aktaş, “Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey”, Journal of Engineering Technology and Applied Sciences, c. 2, sy 2, ss. 101–111, Eki. 2017, doi: 10.30931/jetas.321165.
ISNAD
Ünlü, Hande - Aktaş, Serpil. “Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey”. Journal of Engineering Technology and Applied Sciences 2/2 (01 Ekim 2017): 101-111. https://doi.org/10.30931/jetas.321165.
JAMA
1.Ünlü H, Aktaş S. Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey. Journal of Engineering Technology and Applied Sciences. 2017;2:101–111.
MLA
Ünlü, Hande, ve Serpil Aktaş. “Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey”. Journal of Engineering Technology and Applied Sciences, c. 2, sy 2, Ekim 2017, ss. 101-1, doi:10.30931/jetas.321165.
Vancouver
1.Hande Ünlü, Serpil Aktaş. Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey. Journal of Engineering Technology and Applied Sciences. 01 Ekim 2017;2(2):101-1. doi:10.30931/jetas.321165

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