TESTING SIZE‐DENSITY RELATIONSHIPS WITHOUT RATIO‐VARIABLES, MULTICOLLINEARITY, LOGARITHMIC TRANSFORMATIONS, OR REGRESSION ANALYSIS*
利用美国县城历史分布数据,复制了传统比率变量检验,并提出了避免比率变量、多重共线性和对数变换问题的新检验方法。
ABSTRACT 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.