The results obtained from studies of spatially aggregated data are not independent of the choice of zoning system. The paper investigates the effects of different zone-design criteria on a linear-regression model. It is concluded that there is unlikely to be either a simple or general-purpose solution to the problem.
HannanM T, 1971Aggregation and Disaggregation (D C Heath, Lexington, Mass)
16.
HopeA C A, 1968“A simplified Monte Carlo significance test procedure”Journal of the Royal Statistical Society, Series B30582–598
17.
KeaneM, 1975“The size of the region-building problem”Environment and Planning A7575–577
18.
KendallM GYuleG U, 1950An Introduction to the Theory of Statistics (Griffin, London)
19.
MasserIBateyP W JBrownP J B, 1975“The design of zoning systems for interaction models” in London Papers in Regional Science 5. Regional Science—New Concepts and Old Problems Ed. CrippsE L (Pion, London) pp 166–187
20.
MatherP M, 1976Computational Methods of Multivariate Analysis in Physical Geography (John Wiley, Chichester, Sussex)
21.
OpenshawS, 1977a“A geographical solution to scale and aggregation problems in region-building, partitioning and spatial modelling”Transactions of the Institute of British Geographers, New Series2459–472
22.
OpenshawS, 1977b“Optimal zoning systems for spatial interaction models”Environment and Planning A9169–184
23.
OpenshawS, 1977c“Algorithm 3: a procedure to generate pseudo-random aggregations of N zones into M zones, where M is less than N”Environment and Planning A91423–1428
24.
OpenshawS, 1978“An optimal zoning approach to the study of spatially aggregated data” in Spatial Interaction and Spatial Representation Eds MasserIBrownP J B (Martinus Nijhoff, Leiden, Holland) pp 95–113
25.
OpenshawSTaylorP J, 1978“A million or so correlation coefficients: three experiments on the modifiable areal unit problem” in Statistical Methods in the Spatial Sciences Ed. WrigleyN (Pion, London) forthcoming
26.
PooleM AO'FarrellP N, 1971“The assumptions of the linear regression model”Transactions of the Institute of British Geographers52145–158
27.
PraisS JAitchisonJ, 1954“The grouping of observations in regression analysis”Review of the International Statistical Institute221–22
28.
RhindD W, 1975“Geographical analysis and mapping of the 1971 UK census data” WP-3, Census Research Unit, Department of Geography, University of Durham, Durham, England
29.
SammonsR, 1976“Zoning systems for spatial models” Reading Geographical Papers 52, Department of Geography, University of Reading, Reading, England
30.
WilliamsI N, 1976“Optimistic theory validation from spatially grouped regression: theoretical aspects”Transactions of the Martin Centre1113–145
31.
WilliamsI N, 1978“Some implications of the use of spatially grouped data” in Towards the Dynamic Analysis of Spatial Systems Eds MartinR LBennettR JThriftN J (Pion, London) forthcoming
32.
WilsonA G, 1970Entropy in Urban and Regional Modelling (Pion, London)