Improving Precision in Small Area Proportion Estimation Using Logit Transformation: A Case of Internet Utilization in Papua’s Regencies, Indonesia (2021)

Cucu  Sumarni; Muhammad  Alifh; M. Rijalus  Sholihin; Christiana Anggraeni  Putri; Gama Putra Danu  Sohibien

doi:10.59395/ijadis.v7i1.1438

Authors

Cucu Sumarni Department of Statistics, Politeknik Statistika STIS, Jakarta, Indonesia
Muhammad Alifh BPS-Statistics Talaud Islands Regency, North Sulawesi, Indonesia
M. Rijalus Sholihin BPS-Statistics Empat Lawang Regency, South Sumatera, Indonesia
Christiana Anggraeni Putri Department of Statistics, Politeknik Statistika STIS, Jakarta, Indonesia
Gama Putra Danu Sohibien Department of Statistics, Politeknik Statistika STIS, Jakarta, Indonesia

DOI:

https://doi.org/10.59395/ijadis.v7i1.1438

Keywords:

Small sample sizes , Small area estimation , Area-level model , Proportion estimation , Logit transformation

Abstract

The development of technology and communication reflects economic growth, with internet usage serving as one key indicator. While this indicator is generally available at the national or provincial level, reliable estimates at the regency level remain limited. Small Area Estimation (SAE) methods can address this gap by integrating survey data with census or administrative records. However, the basic SAE model may be less suitable for proportions, particularly in rare cases, due to violations of the normality assumption. This study shows that applying a logit transformation within the SAE framework improves the precision of proportion estimates. Using internet usage in Papua, Indonesia, as a case study, the results demonstrate that the logit-transformed SAE model outperforms both direct survey estimates and the basic SAE model.

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