The Annals of Applied Statistics

A space–time varying coefficient model: The equity of service accessibility

Nicoleta Serban

Full-text: Open access

Abstract

Research in examining the equity of service accessibility has emerged as economic and social equity advocates recognized that where people live influences their opportunities for economic development, access to quality health care and political participation. In this research paper service accessibility equity is concerned with where and when services have been and are accessed by different groups of people, identified by location or underlying socioeconomic variables. Using new statistical methods for modeling spatial-temporal data, this paper estimates demographic association patterns to financial service accessibility varying over a large geographic area (Georgia) and over a period of 13 years. The underlying model is a space–time varying coefficient model including both separable space and time varying coefficients and space–time interaction terms. The model is extended to a multilevel response where the varying coefficients account for both the within- and between-variability. We introduce an inference procedure for assessing the shape of the varying regression coefficients using confidence bands.

Article information

Source
Ann. Appl. Stat., Volume 5, Number 3 (2011), 2024-2051.

Dates
First available in Project Euclid: 13 October 2011

Permanent link to this document
https://projecteuclid.org/euclid.aoas/1318514294

Digital Object Identifier
doi:10.1214/11-AOAS473

Mathematical Reviews number (MathSciNet)
MR2884930

Zentralblatt MATH identifier
1228.62158

Keywords
Equity service accessibility simultaneous confidence bands spatial-temporal modeling varying coefficient model

Citation

Serban, Nicoleta. A space–time varying coefficient model: The equity of service accessibility. Ann. Appl. Stat. 5 (2011), no. 3, 2024--2051. doi:10.1214/11-AOAS473. https://projecteuclid.org/euclid.aoas/1318514294


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Supplemental materials

  • Supplementary material: Supplemental Material. The supplemental materials accompanying this paper are divided into seven sections: Supplement 1. Varying-coefficient model—Decomposition of the design matrix under the tensor-product decomposition of the space–time varying coefficients. Supplement 2. Varying-coefficient model—Derivation of the confidence bands for the space and time varying coefficients. Supplement 3. Varying-coefficient model—A simulation study under multiple predictors. Supplement 4. Varying-coefficient model—Proof of Proposition 2. Supplement 5. Case study—Description of ESRI data. Supplement 6. Case study—Accessibility maps for Atlanta area. Supplement 7. Case study—Results and maps for the provider-level accessibility analysis.