These initial studies applying scale analysis to areal units
of the city led to more intensive investigations of data for Birmingham.
Although thls particular phase of the research has been reported
elsewhere,” the findings may be briefly reviewed in the present
summary paper. Twenty-eight census tracts, comprising about fifty-
percent of the city area, were chosen to represent the fifty-eight such
units in Birmingham. Four physical data items, as described above,
were employed in the development of a scale of residential desirability.
The eleven "response"! categories contained in the three trichotomous
items and one dichotomous item were assumed to define varying degrees
of neighborhood status ascription. Analysis of the resulting total
of 112 responses (four per tract) followed the procedural steps outlined
by Guttman's "Cornell technique".ll The findings demonstrated that the
physical structural categories constitute a single continuum. The
resulting scale, having a coefficient of reproducibility of .93, revealed
an internally consistent ranking of the twenty-eight tracts in eight
scale types ordered from high to low on this dimension of residential
desirability. |
The second phase of this Birmingham study hypothesized that the
several social data categories, describing the same census tracts, and
referring generally to the social stratification system of the city,
would also be scalable. Such a scale could be called a continuum of
socio-economic stytus., Five trichotomous social data items were con-
structed: 1. Median annual income; 2. Prevalence of within-dwelling
crowding; 3. Prevalence of home-ownership; 4. Prevalence of social dis-
organization; 5. Educational achievement. The categories for these
items were arranged by a system of ranks. To illustrate, the highest
seven ranks of the tracts on income were classified as "positive"
(favorable) in terms of socio-economic status, the middle fourteen ranks,
"neutral", and the lowest seven, "negative", etc, In this case, also,
scale analysis of the 140 responses demonstrated that the five tri-
chotomous items represent a single scalable universe of content for
these census tracts. The resulting scalogram, having a coefficient of
reproducibility of .92, was defined as a continuum of socio-economic
status,
Each of the two scales provides an empirical definition of com-
monalities among urban spatial patterns, one referring to physical
structure and the other to social structure. In each case, the scale
types account for the joint relationships among the all data categories
10. Norman E, Green, "Scale Analysis of Urban Structures: A
Study of Birmingham, Alabama", American Sociological Review, XXI
(February 1956), pp. 8-13.
ll. Louis Guttman, "The Cornell Technique for Scale and Intensity
Analysis", Educational and Psychological Measurement, VII (Summer.
1947), Pp. 247 - 280.
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