Correlation and the time interval in multiple regression models

Correlation and the time interval in multiple regression models

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Article ID: iaor2006394
Country: Netherlands
Volume: 162
Issue: 2
Start Page Number: 433
End Page Number: 441
Publication Date: Apr 2005
Journal: European Journal of Operational Research
Authors: , ,
Abstract:

In this paper we investigate the time interval effect of multiple regression models in which some of the variables are additive and some are multiplicative. The effect on the partial regression and correlation coefficients is influenced by the selected time interval. We find that the partial regression and correlation coefficients between two additive variables approach one-period values as n increases. When one of the variables is multiplicative, they will approach zero in the limit. We also show that the decreasing speed of the n-period correlation coefficients between both multiplicative variables is faster than others, except that a one-period correlation has a higher positive value. The results of this paper can be widely applied in various fields where regression or correlation analyses are employed.

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