Bayesian Approaches to Clinical Trials and Health‐Care Evaluation

By M. A. Best. 2005

1,344 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/781df52cce1b41509a47ba54366078891d43e38c

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Citations in the corpus

On p-Values and Bayes Factors (2018, methodology): “One of the first papers with a systematic comparison of P -values and the corresponding minimum Bayes factors was already published in the 1960’s (Edwards et al. 1963), considered as “still one of the best technical introductions to the Bayesian philosophy” (Spiegelhalter et al. 2004).”
Effect of screening and adjuvant therapy on mortality from breast cancer (2005, methodology): “Computations of posterior distributions are made using a likelihood-based “rejection method” (5, 6).”
Bayesian Mediation Analysis (2009, background): “The inflation of posterior variances can also be viewed as a way to discount the number of observations in the historical data (Spiegelhalter, Abrams, & Myles, 2004).”
Bayes factor design analysis: Planning for compelling evidence (2016, background): “, 2005) or “expected Bayesian power” (Spiegelhalter et al., 2004), and is the expected probability of success with respect to the prior.”
How the Maximal Evidence of P-Values Against Point Null Hypotheses Depends on Sample Size (2016, background): “For a composite alternative hypothesis, the Bayes factor will depend on the prior on θ and there is in general no monotonic relationship between the Bayes factor and sample size for a given p-value (Spiegelhalter et al. 2004, sec.”
The Power Prior: Theory and Applications (2015, background): “Many examples of the use of the power prior in experimental design settings can be found in [25].”
Assessing Evidence Inconsistency in Mixed Treatment Comparisons (2006, background): “…information about the parameters besides the available data, the prior densities can be specified by the “just proper noninformative” distributions (Spiegelhalter, Abrams, and Myles 2004), say, µ(X)i ∼ N(0,1,000), dXY ∼ N(0,1,000), X ≺ Y. (12) For σ 2 in the homogeneity model, we adopt the…”
An Introduction to Second-Generation p-Values (2019, background): “…with something else—for example, a likelihood ratio (LR, Royall 1997; Blume 2002), Bayes factor (Bayarri et al. 2016), or posterior probability (Spiegelhalter, Abrams, and Myles 2004; Edwards, Lindman, and Savage 1963)—have not yet garnered a large enough following to alter the daily practice…”
A re‐evaluation of fixed effect(s) meta‐analysis (2018, background): “We follow Spiegelhalter et al. (2004), chapter 3, and distinguish between three assumptions that can be made about the true effects, βi, across studies.”
Bayesian and likelihood-based methods in multilevel modeling 1 A comparison of Bayesian and likelihood-based methods for fitting multilevel models (2006, methodology): “(2005)); and fully-Bayesian inference in WinBUGS (Spiegelhalter et al. (2003)) and MLwiN.”
Thresholds for statistical and clinical significance in systematic reviews with meta-analytic methods (2014, background): “1 (a tenfold higher likelihood of compatibility with the alternative hypothesis than with the null hypothesis) may be chosen as threshold for significance [50].”