The utilization of factor analytic methods in the investigation of the spatial structure of urban areas has raised several methodological concerns. Two of these issues are examined in this study: the validity of the orthogonal model, and the possibility of bias through boundary drawing.
This paper thus focuses on the effect of the choice of rotational technique upon the derived factor structures at three levels of metropolitan delineation—metropolitan area, city, and inner city sub-area. The rotational techniques are examined specifically in regard to dimensional interpretation and dimensional interrelationships at the three scales of observation. The findings have important methodological implication for the investigation of microregion structural variations.
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References
1.
• Denotes further references on factorial ecology not cited in text.
2.
Abu-LughodJanet, 1969, “Testing the theory of social area analysis: The ecology of Cairo, Egypt”, American Sociological Review, 33, 198–212.
3.
AndersonT.BeanL. L., 1961, “The Shevky-Bell social areas: Confirmation of results and a reinterpretation”, Social Forces, 40, 119–124.
4.
•AndersonT.EgelandJanice A., 1961, “Spatial aspects of social area analysis”, American Sociological Review, 26, 392–398.
5.
•van ArsdolM. D.CamilleriS. F.SchmidtC. F., 1958a, “An application of the Shevky social area indexes to a model of urban society”, Social Forces, 37, 26–32.
6.
•van ArsdolM. D.CamilleriS. F.SchmidtC. F., 1958b, “The generality of urban social area indexes”, A merican Sociological Review, 23, 277–284.
7.
•BellW., 1953, “The social areas of the San Francisco region”, American Sociological Review, 18, 29–47.
8.
•BellW., 1955, “Economic, family, and ethnic status: An empirical test”, American Sociological Review, 20, 45–52.
9.
•BellW.MoskosC. C., 1964, “A comment on Udry's increasing scale and spatial differentiation”, Social Forces, 42, 414–417.
10.
BerryB. J. L., 1961, “A method for deriving multi-factor uniform regions”, Prezglad Geograficzny, 33, 263–282.
11.
BerryB. J. L., 1964, “Cities as systems within systems of cities”, Papers and Proceedings, Regional Science Association, 13, 147–165.
12.
•BerryB. J. L.HortonF. E. (Eds.), 1970, Geographic Perspectives on Urban Systems (Prentice-Hall, Englewood Cliffs, N.J.).
13.
BerryB. J. L.ReesP. H., 1969, “Factorial ecology of Calcutta”, American Journal of Sociology, 74, 445–491.
14.
•BlumenfeldH., 1964, “The urban pattern”, The Annals of the American Academy of Political and Social Science, 352, 74–83.
15.
CareyG. W., 1966, “The regional interpretation of Manhattan population and housing patterns through factor analysis”, Geographical Review, 56, 551–569.
16.
DixonW. J. (Ed.), 1970, BMD Biomedical Computer Programs X-series Supplement (University of California Press, Berkeley).
17.
•DoganM.RokkanS. (Eds.), 1969, Quantitative Ecological Analysis in the Social Sciences (MIT Press, Cambridge, Mass.).
18.
•GreerS., 1956, “Urbanism reconsidered: A comparative study of local areas in a metropolis”, American Sociological Review, 21, 19–24.
19.
GreerS., 1962, The Emerging City (The Free Press, New York).
20.
•GreerS.McElrathD.MinarD.OrleansP. (Eds.), 1968, The New Urbanization (St. Martin's Press, New York).
21.
•HarmonH. H., 1967, Modern Factor Analysis (University of Chicago Press, Chicago).
22.
HughesJ. W., 1971, Equifinality in Major Urban Metropolitan Systems: A Cross Cultural Factor Analytic Study, Ph. D. dissertation, Rutgers University.
23.
JansonC. -G., 1969, “Some problems of ecological factor analysis”, in Quantitative Ecological Analysis in the Social Sciences, Eds. DoganM.RokkanS. (MIT Press, Cambridge, Mass.).
24.
McElrathD., 1962, “The social areas of Rome: A comparative analysis”, American Sociological Review, 27, 376–391.
25.
•McElrathD., 1965, “Urban differentiation: Problems and prospects”, Law and Contemporary Problems, 30, 103–110.
26.
McElrathD., 1968, “Societal scale and social differentiation: Accra, Ghana”, in The New Urbanization, Eds. GreerS.McElrathD.MinarD.OrleansP. (St. Martin's Press, New York), pp. 33–52.
27.
•MorrisR., 1968, Urban Sociology (Praeger, New York).
28.
•MurdieR., 1969, The Factorial Ecology of Metropolitan Toronto 1951–1961, Department of Geography Research Paper 116, University of Chicago.
29.
ReesP. H., 1970, “Concepts of social space: Toward an urban social geography”, in Geographic Perspectives on Urban Systems, Eds. BerryB. J. L.HortonF. E. (Prentice-Hall, Englewood Cliffs, N.J.).
30.
•ReissmanL., 1964, The Urban Process (The Free Press, New York).
31.
RobsonB. T., 1969, Urban Analysis: A Study of City Structure (Cambridge University Press, London).
SchmidtC.TagashiraK., 1964, “Ecological and demographic indices: A methodological analysis”, Demography, 1, 194–211.
34.
ShevkyE.BellW., 1955, Social Area Analysis: Theory, Illustrative Application, and Computational Procedure (Stanford University Press, Stanford).
35.
•ShevkyE.WilliamsMarilyn, 1949, The Social Areas of Los Angeles (The University of California Press, Berkeley and Los Angeles).
36.
•SweetserF. L., 1965, “Factor structure as ecological structure in Helsinki and Boston”, Acta Sociologica, 8, 205–225.
37.
SweetserF. L., 1969, “Ecological factors in metropolitan zones and sectors”, in Quantitative Ecological Analysis in the Social Sciences, Eds. DoganM.RokkanS. (MIT Press, Cambridge, Mass.).
38.
•TimmsD. W. G., 1971, The Urban Mosaic: Towards a Theory of Residential Differentiation (Cambridge University Press, London).
39.
•UdryR. J., 1964, “Increasing scale and spatial differentiation, new tests of two theories from Shevky and Bell”, Social Forces, 42, 403–417.
40.
VeldmanD. J., 1967, Fortran Programming for the Behavioral Scientist (Rinehart and Winston, New York).
