Linked Questions

0 votes
0 answers

Interpret the comparison between conditional probabilities of the same random variable but different conditions [duplicate]

I have a set observations of the same distribution with an unknown parameter. My statistics textbook says for two instances of the parameters, called $\phi_1$ and $\phi_2$, $\phi_1$ is more plausible ...
Hiep's user avatar
  • 59
1 vote
0 answers

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.
user143951's user avatar
2 votes
1 answer

Why do we assign probability to theta even though we consider it constant in frequentist statistics? [duplicate]

i am trying to understand the differences between bayesian and frequentist statistics. I read that in frequentist statistics the unknown population parameter theta is considered a constant but in ...
Selly's user avatar
  • 43
0 votes
0 answers

bayesian vs frequentist statistics conceptual question [duplicate]

I've been learning statistics for a long time but I still struggle to understand the "philosophical" differences between frequentist and bayesian statistics. AFAIK, frequentist and bayesian ...
Paca's user avatar
  • 121
434 votes
14 answers

Bayesian and frequentist reasoning in plain English

How would you describe in plain English the characteristics that distinguish Bayesian from Frequentist reasoning?
Daniel Vassallo's user avatar
85 votes
14 answers

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 ...
76 votes
11 answers

Is there any *mathematical* basis for the Bayesian vs frequentist debate?

It says on Wikipedia that: the mathematics [of probability] is largely independent of any interpretation of probability. Question: Then if we want to be mathematically correct, shouldn't we disallow ...
Chill2Macht's user avatar
  • 6,169
64 votes
11 answers

Examples of Bayesian and frequentist approach giving different answers

Note: I am aware of philosophical differences between Bayesian and frequentist statistics. For example "what is the probability that the coin on the table is heads" doesn't make sense in ...
23 votes
6 answers

When are Bayesian methods preferable to Frequentist?

I really want to learn about Bayesian techniques, so I have been trying to teach myself a bit. However, I am having a hard time seeing when using Bayesian techniques ever confer an advantage over ...
HFBrowning's user avatar
  • 1,276
12 votes
5 answers

Conditional probabilities - are they unique to Bayesianism?

I wonder whether conditional probabilities are unique to Bayesianism, or whether they are more of a general concept that is shared among several schools of thought among statistcs/probability people. ...
wirrbel's user avatar
  • 615
9 votes
11 answers

How do Bayesians interpret $P(X=x|\theta=c)$, and does this pose a challenge when interpreting the posterior?

I have seen the post Bayesian vs frequentist interpretations of probability and others like it but this does not address the question I am posing. These other posts provide interpretations related to ...
Geoffrey Johnson's user avatar
14 votes
3 answers

How exactly do Bayesians define (or interpret?) probability?

Part of a series of trying to understand Bayesian vs frequentist: 1 2 3 4 5 6 7 I think I get the difference of how Bayesians and frequentists approach choosing between hypotheses, but I'm not quite ...
BCLC's user avatar
  • 2,394
6 votes
6 answers

What is the point of using a Bayesian prior?

I do struggle with the most basic starting point of Bayesian statistics: why is using a prior useful? It seems to me that if anything they hurt much more than help. Moreover, Bayesians always say ...
giac's user avatar
  • 843
10 votes
3 answers

Would you say this is a trade off between frequentist and Bayesian stats?

I'm trying to review frequentist and Bayesian in parallel. Let's say we are doing the typical scenario of estimating the population mean. In frequentist stats, if sample size is large enough, we ...
confused's user avatar
  • 3,083
11 votes
1 answer

Can we think of a probability in both the classical and subjective sense simultaneously?

I'm a statistics student. I am trying to understand the classical and objective definitions of probability and how they are related to frequentist and Bayesian inference. It's not obvious to me why ...
Kareem Carr's user avatar

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