Pendugaan Standard Error dan Confidence Interval Koefisien Gini dengan Metode Bootstrap:
Terapan pada Data Susenas Provinsi Papua Barat Tahun 2013
DOI:
https://doi.org/10.34123/jurnalasks.v8i2.50Keywords:
confidence interval, bias-corrected Gini coefficient, bootstrapAbstract
Income inequality is one of economic development indicators. As a kind of inequality indicators which is commonly used in Indonesia, gini coefficient is published as a point estimation. This estimation are lacking in its function as an estimator because it doesn’t considerate the probability accuration of the estimate value.Thus, the confidence interval estimation is needed as a comprehensive estimator. The objective of this study is estimate the standard errors and confidence intervals Gini coefficients with the bootstrap method. This study used National Social Economics Household Survey for West Papua Province in 2013. The Gini coefficient that used is a bias-corrected gini coefficient as consideration the bias in the calculation. The standard error of bias-corrected gini coefficient in West Papua is carried out of two data, which are the original sample and resample nonparametric bootstrap method. This research found out that bootstrap-t confidence interval confidence interval is the best confidence interval since it has the smallest standard error and shortest interval.
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References
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Ogwang,T. (2000). ‘A Convenient Method of Computing the Gini Index and Its Standard Error’, Oxford Bulletin of Economics and Statistics, Vol. 62, pp. 123-29.
Wada, R. O. (1975). Impacts of Economic Growth of Size Distribution of Income: The Postwar Experience of Japan, disertasi Ph.D yang belum dipublikasikan, University of Hawaii.
Walpole, Ronald E. (1995). Pengantar Statistik Edisi Ketiga. Jakarta : PT. Gramedia Pustaka Utama
Asra, Abuzar. (2014). Esensi Statistik Bagi Kebijakan Publik. Jakarta : InMedia
Asra, Abuzar. (2015). Cerdas Menggunakan Statistik Edisi Perdana. Jakarta :In Media.
Asra, Abuzar dan Slamet Sutomo. (2014). Pengantar Statistika II Panduan Bagi Pengajar dan Mahasiswa. Jakarta : Rajagrafindo Persada.
Badan Pusat Statistik. (2008). Analisis Kemiskinan 2008. Jakarta : Badan Pusat Statistik
Badan Pusat Statistik. (2014). Perhitungan dan Analisis kemiskinan Makro Indonesia Tahun 2014. Jakarta : Badan Pusat Statistik.
Badan Pusat Statistik Provinsi Papua Barat. (2014). Jumlah Penduduk Miskin, Persentase Penduduk Miskin, Garis Kemiskinan, Indeks Kedalaman Kemiskinan dan Indeks Keparahan Kemiskinan 2007–2014. Manokwari : Badan Pusat Statistik.
Badan Pusat Statistik Provinsi Papua Barat. (2014). Pengeluaran Per Kapita Per Bulan Menurut Kabupaten/Kota 2006-2013. Manokwari : Badan Pusat Statistik.
Bain, Lee J. dan Max Engelhart. (2000). Introduction to Probability and Mathematical Statistics. Boston : Duxbury.
Banks, D. L. (1988). Histospline Smoothing The Bayesian Bootstrap. Biometrika 75, hlm. 673-684.
Bickel, P. J., Gotze, F., dan van Zwet, W. R. (1997). Resampling Fewer Than n Observations, Gains, Losses, and Remidies for Losses. Statist. Sin. 7, hlm. 1-32.
Bulmer, M. G. (1967). Principles of Statistics. New York : Dover Publications, Inc
Chernick, Michael R. (2008). Bootstrap Methods: A Gide for Practitioners and Researchers Second Edition. Hoboken,New Jersey : John Wiley and Sons.
Davidson, Russell. (2008). Reliable Inference for The Gini Index. Canada. Chair in Economics : McGill University.
Davison, A. C., Hinkley, D. V. (1997). Bootstrap Methods and Their Application. Cambridge: Cambridge UniversityPress.
Dudewicz, E. J. (1992). The Generalized Bootstrap. In Bootstrapping And Related Techniques, Proceedings, Trier, FRG. (K.-H. Jockel, G, Rothe, and W. Sendler, editors), Lectures Notes in Economics and Mathematical Systems, Vol.376, hlm. 31-37. Springer-Verlag, Berlin.
Efron, B. (1982a). The Jackknife, The Bootstrap, and Other Resampling Plans. SIAM, Philadelphia.
Efron, B. (1986). How Biased is The Apparent Error Rate of A Prediction Rule? J. Am. Statist. Assoc. 81, hlm. 461-470.
Efron, Bradley dan Tibshirani, Robert J. (1993). Monographs on Statistics and Applied Probability 57 : An Introduction to the Bootstrap. Great Britain, London SE1 8HN. Chapman and Hall
Efron, B. dan Tibshirani, R. (1998). The Problem of Region . Ann. Statist. 26, hlm. 1687-1718.
Gamboa, Luis et al. (2009). Statistical Inference for Testing Gini Coefficients: An Application for Columbia. Columbia. Working Paper, No.65.
Giles, D. (2004). Calculating A Standard Error for The Gini Coefficient: Some Further Results. Oxford Bulletin of Economics and Statistics 66, 425-433.
Hair, Joseph F. et al. (1998). Multivariate Data Analysis. New Jersey : Prentice-Hall, Inc.
Hall, P. (1992a). The Bootstrap and Edgeworth Expansion. Springer-Verlag, New York.
Karagiannis, E. and Kovacevic, M. (2000). “A Method to Calculate the Jackknife Variance Estimator for the Gini Coefficient”, Oxford Bulletin of Economics and Statistics, Vol. 62, pp. 119-22.
Mangahas, Mahar. (1973). A Note on “Income Inequality and Economic Growth : The Postwar Experience of Asian Countries”. Institute of Economic Development and research Discussion Paper No. 72-27.
Mills, J. A. and S. Zandvakili. (1997). “Statistical inference via bootstrapping for measures of inequality”, Journal of Applied Econometrics, Vol. 12, 133–150.
Rubin, D. B. (1981). The Bayesian Bootstrap. Ann. Statistik. 9, hlm. 130-134.
Sun, L. dan Muller Schwarze, D. (1996). Statistical Resampling Methods in Biology: A Case Study of Beaver Dispersal Patterns. Am. J. Math. Manage. Sci. 16, hlm. 463-502.
Supranto, J. (2008). Statistik Teori dan Aplikasi Edisi Ketujuh. Jakarta : Erlangga
Supranto, J. (2009). The Power of Statistics untuk Pemecahan Masalah. Jakarta : Salemba Empat
Todaro, Michael P. dan Stephen C. Smith. (2004). Pembangunan Ekonomi di Dunia Ketiga Edisi Kedelapan. Jakarta.: Erlangga.
Ogwang,T. (2000). ‘A Convenient Method of Computing the Gini Index and Its Standard Error’, Oxford Bulletin of Economics and Statistics, Vol. 62, pp. 123-29.
Wada, R. O. (1975). Impacts of Economic Growth of Size Distribution of Income: The Postwar Experience of Japan, disertasi Ph.D yang belum dipublikasikan, University of Hawaii.
Walpole, Ronald E. (1995). Pengantar Statistik Edisi Ketiga. Jakarta : PT. Gramedia Pustaka Utama
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Published
2016-12-31
How to Cite
Arieska, D. I., & Pusponegoro, N. H. (2016). Pendugaan Standard Error dan Confidence Interval Koefisien Gini dengan Metode Bootstrap:: Terapan pada Data Susenas Provinsi Papua Barat Tahun 2013. Jurnal Aplikasi Statistika & Komputasi Statistik, 8(2), 10. https://doi.org/10.34123/jurnalasks.v8i2.50
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