The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
The Modifiable Areal Unit Problem in Multivariate Statistical Analysis
Abstract
In this paper the examination of the modifiable areal unit problem is extended into multivariate statistical analysis. In an investigation of the parameter estimates from a multiple linear regression model and a multiple logit regression model, conclusions are drawn about the sensitivity of such estimates to variations in scale and zoning systems. The modifiable areal unit problem is shown to be essentially unpredictable in its intensity and effects in multivariate statistical analysis and is therefore a much greater problem than in univariate or bivariate analysis. The results of this analysis are rather depressing in that they provide strong evidence of the unreliability of any multivariate analysis undertaken with data from areal units. Given that such analyses can only be expected to increase with the imminent availability of new census data both in the United Kingdom and in the USA, and the current proliferation of GIS (geographical information system) technology which permits even more access to aggregated data, this paper serves as a topical warning.
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Cites
Ecological Correlations and the Behavior of Individuals
Robinson, W. S. (1950) · American Sociological Review · doi:10.2307/2087176 · Cited by 4,513
The Accuracy Of Spatial Databases
(1989) · CRC Press eBooks · doi:10.1201/b12612 · Cited by 770
Spatial Data Configuration in Statistical Analysis of Regional Economic and Related Problems
Arbia, G. (1989) · Advanced Studies in Theoretical and Applied Econometrics · doi:10.1007/978-94-009-2395-9 · Cited by 312
Batty, M. (1974) · Geographical Analysis · doi:10.1111/j.1538-4632.1974.tb01014.x · Cited by 257
Griffith, D. A. (1988) · Advanced Studies in Theoretical and Applied Econometrics · doi:10.1007/978-94-009-2758-2 · Cited by 238
The Effects of Data Aggregation in Statistical Analysis
Clark, W. A. V., & Avery, K. L. (1976) · Geographical Analysis · doi:10.1111/j.1538-4632.1976.tb00549.x · Cited by 232
Entropy in Spatial Aggregation
Batty, M. (1976) · Geographical Analysis · doi:10.1111/j.1538-4632.1976.tb00525.x · Cited by 145
Bach, L. (1981) · Environment and Planning A Economy and Space · doi:10.1068/a130955 · Cited by 71
Spatial Aggregation in Gravity Models. 1. An Information-Theoretic Framework
Batty, M., & Sikdar, P. K. (1982) · Environment and Planning A Economy and Space · doi:10.1068/a140377 · Cited by 53
Cited by
The Uncertain Geographic Context Problem
Kwan, M.-P. (2012) · Annals of the Association of American Geographers · doi:10.1080/00045608.2012.687349 · Cited by 1,413
Buzzelli, M. (2020) · International Encyclopedia of Human Geography · doi:10.1016/b978-0-08-102295-5.10406-8 · Cited by 668
A Difference-in-Differences Analysis of Health, Safety, and Greening Vacant Urban Space
Branas, C. C., Cheney, R. A., MacDonald, J. M., Tam, V. W., Jackson, T. D., & Ten Have, T. R. (2011) · American Journal of Epidemiology · doi:10.1093/aje/kwr273 · Cited by 599
Spatial dimensions of the influence of urban green-blue spaces on human health: A systematic review
Labib, S. M., Lindley, S., & Huck, J. J. (2020) · Environmental Research · doi:10.1016/j.envres.2019.108869 · Cited by 482
Geographic Boundaries as Regression Discontinuities
Keele, L. J., & Titiunik, R. (2015) · Political Analysis · doi:10.1093/pan/mpu014 · Cited by 391
Metadata
- Authors
- Fotheringham, A. S., & Wong, D. W. S.
- Venue
- Environment and Planning A: Economy and Space
- Publisher
- SAGE Publications
- Published
- 1991-07
- Volume
- 23
- Issue
- 7
- Pages
- 1025-1044
- ISSN
- 0308-518X (ISSN-L)
- 1472-3409
- OpenAlex
- W2026169687
- Cited by
- 1,540
- References
- 9
- FWCI
- 20.89
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
