S-maup: Statistic test to measure the sensitivity to the Modifiable Areal Unit Problem
Autor: | Adriano Polo, Henry Laniado, Juan Carlos Duque |
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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 |
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