P Values for Composite Null Models

By Maria J. Bayarri, James O. Berger. 2000

471 citations recorded by the source corpus.

Subfields: Food Science, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f327a3ec3fd438aa8760c0eccac4b7f79d267b7b

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Citations in the corpus

Philosophy and the practice of Bayesian statistics (2010, unknown): “…the 10There is some controversy in the literature about whether posterior predictive checks have too little power to be useful statistical tools (Bayarri and Berger, 2000, 2004), how they might be modified to increase their power (Robins et al., 2000; Fraser and Rousseau, 2008), whether some…”
A Bayesian chi^2 test for goodness-of-fit (2004, unknown): “These include partial posterior-predictive p-values and conditional predictive p-values [Bayarri and Berger (2000)], and modifications to posterior predictive and “plug-in” p-values [Robins, van der Vaart and Ventura (2000)].”
Valid P-Values Behave Exactly as They Should: Some Misleading Criticisms of P-Values and Their Resolution With S-Values (2019, background): “…for the rate ratios exp(β) extended from 0.66 to 5.19, revealing that the study (even if otherwise perfect) was 8 There are intricate logical and technical issues in extending P-values to composite H, e.g., see Berger and Boos 1994; Berger and Hsu 1996; Bayarri and Berger 1999, 2000, 2004.”
Assessing Fit of Unidimensional Item Response Theory Models Using a Bayesian Approach. (2005, background): “Researchers such as Bayarri and Berger (2000) showed that the PPP-values were conservative (i.”
Assessing Mediational Models: Testing and Interval Estimation for Indirect Effects (2010, methodology): “Bayarri and Berger (1999, 2000) and Robins, van der Vaart, and Ventura (2000) discuss methods for determining p values in the situation when the shape of the null hypothesis depends on a nuisance parameter, in this case “.”
Metrics for External Model Evaluation with an Application to the Population Pharmacokinetics of Gliclazide (2006, methodology): “Yano, Beal and Sheiner defined posterior predictive check (PPC) (10) and proposed three approaches to compute the posterior distribution of the parameters estimated through the maximum likelihood estimation ( 31 ,32).”
On tests of spatial pattern based on simulation envelopes (2014, background): “The correct handling of P values for composite null hypotheses is regarded as an unresolved research problem in statistical inference (Brooks et al. 1997, Bayarri and Berger 2000, and Robins et al. 2000).”
Exploiting multiple outcomes in Bayesian principal stratification analysis with application to the evaluation of a job training program (2013, methodology): “, Bayarri and Berger (2000)], calibrated posterior p-values [Hjort, Dahl and Steinbakk (2006)] and sampled posterior p-values [Johnson (2004, 2007), Gosselin (2011)].”
A survey of Bayesian predictive methods for model assessment, selection and comparison (2012, methodology): “Goodness-of-fit testing with Bayesian posterior predictive p-values (Guttman, 1967; Rubin, 1984; Meng, 1994; Bayarri and Berger, 1999, 2000; Robins, van Der Vaart and Ventura, 2000) and posterior predictive model checking (Gelman et al., 1995; Gelman, Meng and Stern, 1996) are examples of using the…”
Inferential Statistics as Descriptive Statistics: There Is No Replication Crisis if We Don’t Expect Replication (2018, methodology): “In contrast, Fisherian P -values can be used to test this assumption before using it in the Bayesian deduction (Bayarri and Berger 2000; Robins et al. 2000).”
Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper) (2004, background): “…reasons could include Bayesian scruple, the desire to perform prior predictive checks (see Box, 1980, Gelman, Meng, and Stern, 1996, and Bayarri and Berger, 2000) or Bayes factors (see Kass and Raftery, 1995, O’Hagan, 1995, and Pauler, Wakefield, and Kass, 1999), or because…”
Prior sensitivity in theory testing: An apologia for the Bayes factor (2010, background): “The prior sensitivity of the marginal likelihood has not only been lamented in statistics (e.g., Aitkin, 1991; Bayarri & Berger, 2000; Efron, 1986; Gelman, 2008; Kass, 1993; O’Hagan, 1995; Wasserman, 1996), but also in more applied fields like sociology (e.g., Xie, 1999), marketing (e.g., Rossi &…”
Could Fisher, Jeffreys and Neyman Have Agreed on Testing? (2003, unknown): “We begin, in Section 2, by reviewing the approaches to testing espoused by Fisher, Jeffreys and Neyman and the criticisms each had of the other approaches. The negative impact upon science that has resulted from the disagreement is also discussed. In Section 3, we describe the conditional frequentis”
Joint Bayesian model selection and parameter estimation of the generalized extreme value model with covariates using birth‐death Markov chain Monte Carlo (2009, methodology): “Methods based on the posterior predictive p-values and conditional p-values are also emerging as popular measures of model fit [Bayarri and Berger, 2000; Pérez and Berger, 2002;Aitkin et al., 2005].”
The IOS Test for Model Misspecification (2004, methodology): “The statistics literature also has seen renewed interest in general methods for testing model adequacy, as exempli ed by work of Bayarri and Berger (2000) and Robins, van der Vaart, and Ventura (2000).”
Why P Values Are Not a Useful Measure of Evidence in Statistical Significance Testing (2008, methodology): “The upshot is that many researchers (e.g., Bayarri & Berger, 1999, 2000, 2004; Berger, 2003; Berger & Sellke, 1987; Gigerenzer, 1993; Goodman, 1993, 1999; Hubbard, 2004; Hubbard & Bayarri, 2003a, 2003b, 2005) state that the p value is routinely misinterpreted as a frequentist Type I error…”