Estimating the transition between two intersecting straight lines

SUMMARY For experimental data which appear to behave according to two different distinct linear relationships, a general model is proposed which allows for a smooth transition from one linear régime to the other. The transition is accomplished by a curve incorporating a transition parameter. The spe...

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Veröffentlicht in:	Biometrika 1971-12, Vol.58 (3), p.525-534
Hauptverfasser:	BACON, DAVID W., WATTS, DONALD G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bayesian estimation of change-point in regression Data lines Density estimation Determinants Discontinuous regression relations Economic research Experimental data Flow velocity Least squares Linear regression Mathematical independent variables Parametric models Two-phase regressions
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Beschreibung
Zusammenfassung:	SUMMARY For experimental data which appear to behave according to two different distinct linear relationships, a general model is proposed which allows for a smooth transition from one linear régime to the other. The transition is accomplished by a curve incorporating a transition parameter. The special case of two intersecting straight lines is included in this model. A Bayesian estimation procedure is used to determine the plausibility of different parameter values. The analysis procedure may be extended to any number of join points and for any linear intersecting functions.
ISSN:	0006-3444 1464-3510
DOI:	10.1093/biomet/58.3.525