Logit Transformation on Unit level Small Area Estimation with First Order Autoregressive Time Effects

Authors

  • Dian Surida  Department of Statistics, Bogor Agricultural University, West Java, Indonesia
  • Anang Kurnia  Department of Statistics, Bogor Agricultural University, West Java, Indonesia
  • Siti Muchlisoh  Politeknik Statistika STIS, Jakarta, Indonesia

Keywords:

EBLUP, Area Unit Level, Rao-Yu Model, Unemployment Rate, Logit Transformation

Abstract

Indonesian labor force participation data are collected by Sakernas (National Labor Force Survey). The main purpose of Sakernas is to obtain information about the unemployment rate and its changes over time. Model-2 is the Rao-Yu unit model (Model-1) with modeling was done by logit transformation approach. The empirical study using Sakernas rotational panel data for 2011-2014 shows that the Empirical Best Linear Unbiased Prediction (EBLUP) of Model-2 gives a lower MSE compared to Model-1.

References

  1. Baum CF. 2008. Modelling Proportion. The Stata Journal. 2:299-303
  2. Statistics Indonesia. 2014. Pedoman pengawas survei angkatan kerja nasional (Sakernas) triwulanan. Jakarta (ID): Badan Pusat Statistik Republik Indonesia.
  3. Cox DR, Snell EJ. 2002. Analysis of Binary Data Second Edition. USA: Chapman and Hall.
  4. Fay RE and Herriot RA. 1979. Estimates of income for small places an application of James-Stein procedures to census data. Journal of the American Statistical Association 74: 269- 277.
  5. Pfeffermann D, Terryn B, Fernando M. 2008. Small Area Estimation under a Two Part Random Effects Model to Estimation if Literacy in Developing Countries. Survey Methodology 34: 67-72.
  6. Friedman EM, Jang D, Williams TV. 2002. Combined Estimates From Four Quarterly Survey Data Sets. Proceedings of the Section on Survey Research Methods. American Statistical Association. 1064-1069.
  7. Ghosh, M. dan Rao, J.N.K. 1994. Small area estimation: an appraisal. Statistical Sciences 9, 55-93.
  8. Hidiroglou M. 2007. Small-area estimation: theory and practice. Section on Survey Research Methods, 3445–3456.
  9. J.N.K. Rao and M.Yu, Small area estimation combining time series and cross-sectional data, The Canadian Journal of Statistics, 22 (1994), 511-528.
  10. Kurnia A, Notodiputro KA. 2007. Generalized additive mixed model for small area estimation. 2nd. International Conference on Mathematical Sciences 2007 (IcoMS-2007). Universiti Teknologi Malaysia.
  11. Levy, P.S. dan Lemeshow, S. 1999. Sampling of Populations, Methods and Applications. New York: John Wiley and Sons, Inc.
  12. Longford NT. 2007. On standard errors of model-based small-area estimators. Survey Methodology. 33: 69-79.
  13. Muchlisoh S. 2017. Small Area Estimation of Unemployement Rate Based on Unit Level Model with First Order Autoregressive Time Effects. Journal of Applied Probability and Statistics 12(2) :65-77
  14. Rao JNK. 2003. Small Area Estimation. New York: John Wiley and Sons, Inc.

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Published

2018-08-30

Issue

Section

Research Articles

How to Cite

[1]
Dian Surida, Anang Kurnia, Siti Muchlisoh, " Logit Transformation on Unit level Small Area Estimation with First Order Autoregressive Time Effects , International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 9, pp.369-374, July-August-2018.