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Genetics Selection Evolution

Open Access

A periodic analysis of longitudinal binary responses: a case study of clinical mastitis in Norwegian Red cows

  • Yu-mei Chang1Email author,
  • Daniel Gianola1, 2,
  • Bjørg Heringstad2, 3 and
  • Gunnar Klemetsdal2
Genetics Selection Evolution200739:249

Received: 14 February 2006

Accepted: 6 December 2006

Published: 14 April 2007


A Bayesian procedure for analyzing longitudinal binary responses using a periodic cosine function was developed. It was assumed that, after adjustment for "seasonal" effects, the oscillation of the underlying latent variables for longitudinal binary responses was a stationary series. Based on this assumption, a single dimension sinusoidal analysis of longitudinal binary responses using the Gibbs sampling and Metropolis algorithms was implemented in a study of clinical mastitis records of Norwegian Red cows taken over five lactations.


clinical mastitisperiodic analysissinusoidal analysisthreshold model

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Authors’ Affiliations

Department of Dairy Science, University of Wisconsin, Madison, USA
Department of Animal and Aquacultural Sciences, Norwegian University of Life Sciences, Norway
Geno Breeding and A. I. Association, Norway


© INRA, EDP Sciences 2007