VERIFICATION OF TURNING POINTS

Authors: LENNART ANDERSSON; MARIANNE FRISÉN

Source: Journal of Nonparametric Statistics, Volume 14, Number 5, 2002 , pp. 623-645(23)

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Abstract:

A method for testing monotonicity versus unimodality is presented. One specification of the problem is treated in detail. It is also discussed how transformations and combinations can be used to get solutions for other specifications. A maximum likelihood ratio test based on non-parametric regression estimates is derived. A test with an upper limit for the size is presented. The power of the test is examined by a simulation study. The technique is illustrated by testing hypotheses on the relation between alcohol consumption and mortality.

Keywords: Turning point; Likelihood ratio; Non-parametric; Monotonic regression; Unimodal regression

Document Type: Research article

DOI: http://dx.doi.org/10.1080/10485250213902

Affiliations: 1: Department of Statistics, Göteborg University, Sweden

Publication date: 2002-01-01