Linked Questions

119
votes
13answers
23k views

What's wrong with XKCD's Frequentists vs. Bayesians comic?

This xkcd comic (Frequentists vs. Bayesians) makes fun of a frequentist statistician who derives an obviously wrong result. However it seems to me that his reasoning is actually correct in the sense ...
77
votes
14answers
14k views

When (if ever) is a frequentist approach substantively better than a Bayesian?

Background: I do not have an formal training in Bayesian statistics (though I am very interested in learning more), but I know enough--I think--to get the gist of why many feel as though they are ...
65
votes
7answers
6k views

Where did the frequentist-Bayesian debate go?

The world of statistics was divided between frequentists and Bayesians. These days it seems everyone does a bit of both. How can this be? If the different approaches are suitable for different ...
55
votes
10answers
9k views

Who are frequentists?

We already had a thread asking who are Bayesians and one asking if frequentists are Bayesians, but there was no thread asking directly who are frequentists? This is a question that was asked by @...
37
votes
8answers
14k views

What is Bayes' theorem all about?

What are the main ideas, that is, concepts related to Bayes' theorem? I am not asking for any derivations of complex mathematical notation.
37
votes
5answers
41k views

What exactly is a Bayesian model?

Can I call a model wherein Bayes' Theorem is used a "Bayesian model"? I am afraid such a definition might be too broad. So what exactly is a Bayesian model?
8
votes
1answer
3k views

Relation between MAP, EM, and MLE

I am a beginner in machine learning. I can do programming fine but the theory confuses me a lot of the times. What is the relation between Maximum Likelihood Estimation (MLE), Maximum A posteriori (...
1
vote
3answers
185 views

Do frequentists and Bayesians use different hypothesis tests?

In a basic refresher course on stats, they covered Z-tests, T-tests from a practical perspective: they described the assumptions for each test, and "let the software packages do their job" - as an ...
2
votes
0answers
175 views

Role of the Objective Prior in the Unification of Bayesian and Frequentists

On a recent post asking about self-identified Bayesians (most comprehensive list: ISBA) there were great answers, yet little was mentioned about the drive towards unification. Except from Andrew ...
1
vote
0answers
171 views

The difference between the Frequentist, Bayesian and Fisherian appraoches to statistical inference [duplicate]

I'm just trying to get my head around the differences between these three approaches to statistical inference. I'm just not entirely sure what the significant differences are between the three.
0
votes
2answers
67 views

Is this considered a bayesian approach and if now how can I make it into one?

So I came up with this analysis scheme wherein in use a nested cross validation loop, logistic regression with an l1 penalty in the inner loop and then logistic regression w/o the penalty in the outer ...
1
vote
0answers
57 views

Hypothesis testing – abusing notation or am I missing something?

In a number of statistics books and references you can find formulas such as: $P\,(result~|~H_0)$ (Bortz, p. 114) $P\,(reject~H_0\;|\;H_0~valid)$ (Wikipedia - Statistical hypothesis testing) and ...