Questions tagged [bayesian]
Bayesian inference is a method of statistical inference that relies on treating the model parameters as random variables and applying Bayes' theorem to deduce subjective probability statements about the parameters or hypotheses, conditional on the observed dataset.
8,411 questions
2 votes
1 answer
63 views
Multiple comparisons with uncertain number of tests
In metagenomics one typically collects data representing gene/species counts (or their proportion) in an individual. One then performs comparisons for every gene/species in groups of individuals ...
0 votes
0 answers
32 views
Combining prior on effect size with new effect size estimate (Bayesian)
CONTEXT I am a researcher planning experiments. My goal is to combine a prior on the effect size from prior literature with pilot data. SETUP Assume I have a prior on an effect size, $d \sim N(d_{\...
6 votes
2 answers
168 views
What does skewed distribution as posterior mean?
I am trying to estimate the values of three unknown parameters in the Ordinary Differential Equation (ODE) using pyMC. Physically, A should be smaller than both B and C. But, given the data and ODE I ...
1 vote
0 answers
24 views
Experimental design choices and how to answer them with Bayes
so I'm new to Bayesian statistics, just read the basics and trying to figure something out. In my research design I have 4 participants and 2 independent information ranges, where an optimum would ...
6 votes
2 answers
571 views
Avoiding the problem with degrees of freedom using bayesian
Here is classic linear mixed effects regression: $$y_{ij} = \beta_0 + \beta_1 x_{ij} + u_j + \epsilon_{ij}$$ If the parameters of this model are estimated using frequentist method, a complex ...
3 votes
1 answer
88 views
Which covariance prior to use in Bayes mixed model for detection of circadian rhythms in RNASeq data with R package `blme`?
I am trying to detect circadian rhythms in data from an RNASeq experiment. These are regularizedzed count reads from about 15000 genes. the circadian rhythm formula : "...
0 votes
1 answer
142 views
Comparing multiple groups to a reference group
I would like to compare several groups to a reference group, with the main idea being to show that the other groups are not inferior to the reference. Ideally, I would also like to test for ...
8 votes
3 answers
3k views
Ethical concerns about using Bayesian [closed]
I have a statistical model and I am trying to estimate the parameters. If I use the Frequentist approach, I will first need to do all the matrix algebra/calculus to derive an expression for the ...