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TESTING SIZE‐DENSITY RELATIONSHIPS WITHOUT RATIO‐VARIABLES, MULTICOLLINEARITY, LOGARITHMIC TRANSFORMATIONS, OR REGRESSION ANALYSIS *
Author(s) -
Stephan G. Edward,
Dorman Dan
Publication year - 1985
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/j.1467-9787.1985.tb00310.x
Subject(s) - multicollinearity , logarithm , statistics , mathematics , multivariate statistics , replicate , econometrics , regression analysis , transformation (genetics) , variance inflation factor , variable (mathematics) , variables , linear regression , mathematical analysis , biochemistry , chemistry , gene
Using data describing the historical distribution of county seats in the United States, we (1) replicate the traditional ratio‐variable test of the size‐density law, (2) test a new multivariate, nonratio form of the law, and (3) introduce an alternative method of testing, one which avoids three possible problems in traditional analyses: ratio‐variables, multicollinearity, and logarithmic transformation.