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A constrained least squares method for estimating the effects of an unknown monotonically intervening factor
Authors:Sten Thore
Abstract:A constrained least squares method is developed for the estimation of the effects of an unknown intervening causal factor in regression analysis, when the unknown factor shifts the regression hyperplane monotonically upwards (downwards) over time. As an illustration, we estimate the price elasticity of cigarettes in the USA and the systematic shifts of the demand curve for cigarettes during the time period 1964-86 (these shifts presumably reflecting the heightened awareness of the general public of the potential dangers of smoking).
Keywords:Constrained least squares  Intervening factor  Quadratic programming  Dummy variables
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