On the bayesianity of pereira-stern tests

Madruga, Maria Regina; Esteves, Luís Gustavo; Wechsler, Sergio

doi:10.1007/bf02595698

Cited by 77 publications

(81 citation statements)

References 5 publications

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“…Madruga et al (2003) prove that the evidence in favour of H 0 is invariant with respect to proper reparametrizations. A discussion about the "Bayesianity" of FBST can be found in Madruga et al (2001).…”

Section: Full Bayesian Significance Test (Fbst) For Fmentioning

confidence: 99%

Testing and Estimating the Non‐Disjunction Fraction in Meiosis I using Reference Priors

et al. 2007

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SummaryIn this paper we analyze the fraction of non-disjunction in Meiosis I assuming reference (non-informative) priors. We consider Jeffreys's approach to built a non-informative prior (Jeffreys's prior) for the fraction of non-disjunction in Meiosis I. We prove that Jeffreys's prior is a proper distribution. We perform Monte Carlo studies in order to compare Bayes estimates obtained assuming Jeffreys's and uniform priors. We consider full Bayesian significance test (FBST) and Bayes factor (BF) for testing precise hypothesis on the fraction of non-disjunction in Meiosis I. The ultimate goal of this paper is to compare these two test procedures through simulation studies using both prior specifications. An application to Down Syndrome data is also presented.

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Section: Full Bayesian Significance Test (Fbst) For Fmentioning

confidence: 99%

Testing and Estimating the Non‐Disjunction Fraction in Meiosis I using Reference Priors

et al. 2007

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“…In order to avoid the Jeffreys-Lindley paradox, the measure of evidence (EV ) of the full Bayesian significance test (FBST) of Stern (1999, 2001) can be considered; see also Madruga et al (2001Madruga et al ( , 2003 and Pereira et al (2008). Following Cabras et al (2013), consider the set…”

Section: Tail Area Approximations For a Measure Of Evidencementioning

confidence: 99%

A note on approximate Bayesian credible sets based on modified loglikelihood ratios

Ventura

Ruli

Racugno

2013

Statistics & Probability Letters

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Abstract:Asymptotic arguments are widely used in Bayesian inference, and in recent years there has been considerable developments of the so-called higherorder asymptotics. This theory provides very accurate approximations to posterior distributions, and to related quantities, in a variety of parametric statistical problems, even for small sample sizes. The aim of this contribution is to discuss recent advances in approximate Bayesian computations based on the asymptotic theory of modified loglikelihood ratios, both from theoretical and practical point of views. Results on third-order approximations for univariate posterior distributions, also in the presence of nuisance parameters, are reviewed and a new formula for a vector parameter of interest is presented. All these approximations may routinely be applied in practice for Bayesian inference, since they require little more than standard likelihood quantities for their implementation, and hence they may be available at little additional computational cost over simple first-order approximations. Moreover, these approximations give rise to a simple simulation scheme, alternative to MCMC, for Bayesian computation of marginal posterior distributions for a scalar parameter of interest. In addition, they can be used for testing precise null hypothesis and to define accurate Bayesian credible sets. Some illustrative examples are discussed, with particular attention to the use of matching priors.

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“…Our and other research groups are also conducting a systematic exploration of the intrinsic properties of the FBST framework, and studying the implications and consequences of its use, including pragmatical use and performance aspects, see for example Diniz et al (2011Diniz et al ( , 2012, Johnson et al (2009), and Lauretto et al (2003; theoretical statistics properties, see for example Madruga et al (2001), Pereira et al (2008), and Stern (2011a, b); and logical properties, see for example Izbicki and Esteves (2015), Stern (2004), Borges and Stern (2007), and Stern and Pereira (2014). Finally, a specific version of Cognitive constructivism has been developed as an epistemological framework amenable to all the aforementioned properties of the FBST, see for example Stern (2007aStern ( , b, 2008Stern ( , 2011a.…”

Section: Introductionmentioning

confidence: 99%

Jacob’s Ladder: Logics of Magic, Metaphor and Metaphysics

Stern

2017

SOPHIA

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In this article, we discuss some issues concerning magical thinkingforms of thought and association mechanisms characteristic of early stages of mental development. We also examine good reasons for having an ambivalent attitude concerning the later permanence in life of these archaic forms of association, and the coexistence of such intuitive but informal thinking with logical and rigorous reasoning. At the one hand, magical thinking seems to serve the creative mind, working as a natural vehicle for new ideas and innovative insights, and giving form to heuristic arguments. At the other hand, it is inherently difficult to control, lacking effective mechanisms needed for rigorous manipulation. Our discussion is illustrated with many examples from the Hebrew Bible, and some final examples from modern science.Keywords Syllepsis · Paronomasia · Magical thinking · Heuristic arguments Love and marriage, Go together like a horse and carriage; This I tell you brother, You can't have one without the other.Try, try, try to separate them, It's an illusion; Try, try, try, and you will only come, To this conclusion.-Frank Sinatra, Sammy Cahn, and Jimmy van Heusen (1955).

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On the bayesianity of pereira-stern tests

Abstract: Bayesian Inference, Decision Theory, hypothesis test, loss functions, 62C10, 62A15, 62F15, 62F03,

Cited by 77 publications

References 5 publications

Testing and Estimating the Non‐Disjunction Fraction in Meiosis I using Reference Priors

Testing and Estimating the Non‐Disjunction Fraction in Meiosis I using Reference Priors

A note on approximate Bayesian credible sets based on modified loglikelihood ratios

Jacob’s Ladder: Logics of Magic, Metaphor and Metaphysics

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