SPURIOUS CORRELATION AND THE FALLACY OF THE RATIO STANDARD REVISITED

被引:382
作者
KRONMAL, RA [1 ]
机构
[1] UNIV SOUTHAMPTON,SOUTHAMPTON SO9 5NH,HANTS,ENGLAND
来源
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY | 1993年 / 156卷
关键词
INTERACTIONS IN REGRESSION; MULTIPLE LINEAR REGRESSION; RATIOS IN REGRESSION; RATIO STANDARDS; SPURIOUS CORRELATION;
D O I
10.2307/2983064
中图分类号
O1 [数学]; C [社会科学总论];
学科分类号
03 ; 0303 ; 0701 ; 070101 ;
摘要
Spurious correlation refers to the correlation between indices that have a common component. A 'per ratio' standard is based on a biological measurement adjusted for some physical measurement by division. Renowned statisticians and biologists (Pearson, Neyman and Tanner) have warned about the problems in interpretation that ratios cause. This warning has been largely ignored. The consequences of using a single ratio as either the dependent or one of the independent variables in a multiple-regression analysis are described. It is shown that the use of ratios in regression analyses can lead to incorrect or misleading inferences. A recommendation is made that the use of ratios in regression analyses be avoided.
引用
收藏
页码:379 / 392
页数:14
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