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Remarks upon Empirical Regression Belt
Author(s) -
Schmerling S.,
Peil J.
Publication year - 1979
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710210109
Subject(s) - regression , regression analysis , statistics , mathematics , linear regression , local regression , variance (accounting) , econometrics , polynomial regression , economics , accounting
In the presented paper the method of the empirical regression belt is demonstrated. An empirical regression curve r ( x ), which is determined by the realizations (measured points) ( x 1 , y 1 ), i = 1,…., n of a continuous two‐dimensional random variable ( X , Y ), is enclosed by a belt, the local width of which varies dependent on local frequency and variance of the measured points. This empirical regression belt yields certain information for evaluating the empirical regression curve, providing a useful basis for the biomathematical forming of a model. By giving three examples derived from morphometrics the authors discuss important qualities of the empirical regression belt.