S-maup: Statistic test to measure the sensitivity to the Modifiable Areal Unit Problem

Autor: Adriano Polo, Henry Laniado, Juan Carlos Duque
Jazyk: angličtina
Rok vydání: 2018
Předmět:
FOS: Computer and information sciences
Economics
0211 other engineering and technologies
Test Statistics
lcsh:Medicine
Social Sciences
02 engineering and technology
Mathematical and Statistical Techniques
Statistics
Geoinformatics
Salaries
lcsh:Science
Statistic
Mathematics
Multidisciplinary
Geography
Covariance
Simulation and Modeling
05 social sciences
021107 urban & regional planning
Spatial Autocorrelation
Modifiable Areal Unit Problem
Research Design
Physical Sciences
Probability distribution
050703 geography
Research Article
Statistical Distributions
Computer and Information Sciences
Census
62G10 62G05
0507 social and economic geography
Research and Analysis Methods
Statistics - Applications
Applications (stat.AP)
Computer Simulation
Statistical Methods
Spatial analysis
Statistical hypothesis testing
Models
Statistical

Survey Research
lcsh:R
Random Variables
Probability Theory
Empirical distribution function
Modifiable areal unit problem
Sample size determination
Labor Economics
Earth Sciences
lcsh:Q
Null hypothesis
Zdroj: PLoS ONE
PLoS ONE, Vol 13, Iss 11, p e0207377 (2018)
Popis: This work presents a nonparametric statistical test, $S$-maup, to measure the sensitivity of a spatially intensive variable to the effects of the Modifiable Areal Unit Problem (MAUP). $S$-maup is the first statistic of its type and focuses on determining how much the distribution of the variable, at its highest level of spatial disaggregation, will change when it is spatially aggregated. Through a computational experiment, we obtain the basis for the design of the statistical test under the null hypothesis of non-sensitivity to MAUP. We performed a simulation study for approaching the empirical distribution of the statistical test, obtaining its critical values, and computing its power and size. The results indicate that the power of the statistic is good if the sample (number of areas) grows, and in general, the size decreases with increasing sample number. Finally, an empirical application is made using the Mincer equation in South Africa.
Paper with 10 pages and 11 figures
Databáze: OpenAIRE