Tagged Questions
1
vote
0answers
57 views
Pooling asymmetric confidence intervals for proportions?
I have several measurements of proportions (values in [0, 1]) $\theta_1,...,\theta_n$, each with an (asymmetric) 95% confidence interval. The $\theta$'s are repeated measurements of the same variable ...
5
votes
1answer
152 views
Homework: Bayesian Data Analysis: Priors on both binomial parameters
The following is a problem from Bayesian Data Analysis 2nd ed, p. 97. Andrew Gelman has not included its solution in the guide on his website and it has been driving me crazy all day. Literally all ...
2
votes
1answer
201 views
Basic Bayesian MCMC to estimate two parameters from binomial distributions given unknown number of trials
This is a very basic question about Bayesian inference. I'm not grasping one or more fundamental concepts.
Let's say I have two observed outcomes, X and Y. I want to infer the probabilities (px and ...
4
votes
1answer
72 views
Luck or skill in 3-person game
Two friends and I have been playing a game that is a combination of skill and luck. (as most games are). We assume that if the game was all luck and/or we all had the same skill level eventually the ...
1
vote
0answers
75 views
Unconditional inference in the multinomial model
Consider a multinomial $2\times 2$ table $\begin{pmatrix} x_{11} & x_{12} \\ x_{21} & x_{22} \end{pmatrix}$ with theoretical probabilities: $$\begin{pmatrix} \theta_{11} & \theta_{12} \\ ...
5
votes
2answers
377 views
Hierarchical Bayesian Model (?)
Please apologize my butchering of statistical lingo :) I have found a couple of questions on here that are related to advertising and click through rates. But none of them helped me very much with my ...
2
votes
2answers
265 views
Priors for hierarchial Bayesian binomial model
I intend to use a hierarchical binomial model which would look like the following in BUGS language :
...
4
votes
1answer
212 views
Two successive binomial experiments performed by two different groups of individuals
Imagine two experiments:
1) A group of $n=100$ individuals are under condition $A$, and they perform some test. Among these individuals, $y=5$ individuals succeed in the test.
2) A group of ...
7
votes
2answers
273 views
Light bulb color problem
Please first have a look at the following little problem:
There are two indistinguishable light bulbs A and B. A flashes red
light with prob .8 and blue with prob .2; B red with .2 and blue .8.
...
