Forecasting the Bayes factor of a future observation
File(s)0703063v2.pdf (222.32 KB)
Accepted version
Author(s)
Trotta, R
Type
Journal Article
Abstract
I present a new procedure to forecast the Bayes factor of a future observation by
computing the Predictive Posterior Odds Distribution (PPOD). This can assess the
power of future experiments to answer model selection questions and the probability
of the outcome, and can be helpful in the context of experiment design.
As an illustration, I consider a central quantity for our understanding of the cosmological
concordance model, namely the scalar spectral index of primordial perturbations,
nS. I show that the Planck satellite has over 90% probability of gathering
strong evidence against
n
S = 1, thus conclusively disproving a scale–invariant spectrum.
This result is robust with respect to a wide range of choices for the prior on nS.
computing the Predictive Posterior Odds Distribution (PPOD). This can assess the
power of future experiments to answer model selection questions and the probability
of the outcome, and can be helpful in the context of experiment design.
As an illustration, I consider a central quantity for our understanding of the cosmological
concordance model, namely the scalar spectral index of primordial perturbations,
nS. I show that the Planck satellite has over 90% probability of gathering
strong evidence against
n
S = 1, thus conclusively disproving a scale–invariant spectrum.
This result is robust with respect to a wide range of choices for the prior on nS.
Date Issued
2007-07-01
Date Acceptance
2007-04-16
Citation
Monthly Notices of the Royal Astronomical Society, 2007, 378 (3), pp.819-824
ISSN
1365-2966
Publisher
Oxford University Press (OUP)
Start Page
819
End Page
824
Journal / Book Title
Monthly Notices of the Royal Astronomical Society
Volume
378
Issue
3
Copyright Statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in Monthly Notices of the Royal Astronomical Society following peer review. The version of record Roberto Trotta
Forecasting the Bayes factor of a future observation
MNRAS (2007) Vol. 378 819-824 is available online at: https://dx.doi.org/10.1111/j.1365-2966.2007.11861.x
Forecasting the Bayes factor of a future observation
MNRAS (2007) Vol. 378 819-824 is available online at: https://dx.doi.org/10.1111/j.1365-2966.2007.11861.x
Subjects
Science & Technology
Physical Sciences
Astronomy & Astrophysics
ASTRONOMY & ASTROPHYSICS
methods : statistical
cosmology : cosmic microwave background
cosmology : cosmological parameters
methods : data analysis
HUBBLE-SPACE-TELESCOPE
MODEL SELECTION
POWER SPECTRUM
EVOLUTION
CONSTANT
WMAP
Publication Status
Published