On the Choice of a Model to Fit Data from an Exponential Family

Haughton, Dominique

doi:10.1214/aos/1176350709

Cited by 238 publications

(132 citation statements)

References 16 publications

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“…This theorem is proven in [56,Thm. 2.3], where a more refined expansion gives a remainder that is bounded in probability when multiplied by √ n. Theorem 5.1.5 shows that model selection using the BIC approximates a Bayesian procedure seeking the model with highest posterior probability.…”

Section: Information Criteria and Asymptoticsmentioning

confidence: 78%

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Lectures on Algebraic Statistics

2009

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Section: Information Criteria and Asymptoticsmentioning

confidence: 78%

“…1.2]. Note that in [56] the result is stated for the case where Θ 1 and Θ 2 are smooth manifolds but this property is not used in the proof. In algebraic statistics, Θ 1 and Θ 2 will be semi-algebraic.…”

Section: Information Criteria and Asymptoticsmentioning

confidence: 99%

Lectures on Algebraic Statistics

2009

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“…The model with smaller Bayesian Information Criterion (BIC) or Schartz Information Criterion was chosen among all the possible models formed with combinations of the five SNP markers (Haughton, 1988). Similar results were obtained when using the Akaike Information Criterion (Burnham and Anderson, 2002).…”

Section: A Koets Et Al / Preventive Veterinary Medicine XXX (2009) mentioning

confidence: 85%

Susceptibility to paratuberculosis infection in cattle is associated with single nucleotide polymorphisms in Toll-like receptor 2 which modulate immune responses against Mycobacterium avium subspecies paratuberculosis

Koets

Santema

Mertens

et al. 2010

Preventive Veterinary Medicine

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“…was inferred by finding the graphical model that minimises the Bayesian information criterion as implemented in the R package gRapHD (Abreu et al, 2010). This inference procedure has optimal properties (see Haughton, 1988). Confirmatory analyses were performed using a Monte Carlo version of the Fisher's exact test with 1 000 000 Monte Carlo samples.…”

Section: Discussionmentioning

confidence: 99%

Associations between and development of welfare indicators in organic layers

Hinrichsen

Riber

Labouriau

2016

Animal

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The retail market share of organic eggs in Denmark is high, and the consumers expect high animal welfare standards in the organic production. Documentation of animal welfare is important, however, knowledge about the associations between animal-based welfare indicators is limited. The aims of the study were to investigate the associations between selected welfare indicators at two ages (peak and end of lay), and to examine the development with age of the chosen welfare indicators. The chosen welfare indicators were Ascaridia galli (roundworm) infection, Heterakis sp. (caecal worm) infection, keel bone damages, back feathering, body feathering, foot damages, comb colour and wounds on the body. An observational study with 12 organic egg farms was conducted in 2012 and 2013 with a total of 214 hens assessed individually at the peak and the end of lay. Insufficient data were obtained on helminth infection at the peak of lay. At the end of lay, all helminth infected hens were positive for A. galli, and only three of them had in addition a Heterakis sp. infection. Foot damages, pale combs and wounds on the body occurred at frequencies <5% and were therefore, together with the prevalence of Heterakis sp. infection, left out of the analysis of associations. A graphical model was used to analyse the associations between the remaining clinical welfare indicators, A. galli infection, housing systems and age of the hens at end of lay. A. galli infection was only directly associated with back feathering at end of lay (P = 0.011) with an increased incidence of A. galli infection in hens with good back feathering. Between the two visits, the prevalence of hens with keel bone damages increased (P < 0.001), and the plumage condition deteriorated (P < 0.001), whereas the number of hens with plantar abscess (P = 0.037) and pale combs (P = 0.020) decreased. No significant differences were found for other foot damages or for skin damage. In conclusion, back feathering at end of lay provided information about a possible helminth infection, but this is not a useful indicator in daily on-farm management. In addition, evidence was found that the deterioration of the plumage condition with age was not only due to accumulation of damage over time.

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On the Choice of a Model to Fit Data from an Exponential Family

Cited by 238 publications

References 16 publications

Lectures on Algebraic Statistics

Lectures on Algebraic Statistics

Susceptibility to paratuberculosis infection in cattle is associated with single nucleotide polymorphisms in Toll-like receptor 2 which modulate immune responses against Mycobacterium avium subspecies paratuberculosis

Associations between and development of welfare indicators in organic layers

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