Questions tagged [inference]

Drawing conclusions about population parameters from sample data. See https://en.wikipedia.org/wiki/Inference and https://en.wikipedia.org/wiki/Statistical_inference

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6 votes
2 answers
203 views

Resampling within a survey to account for missing data

Suppose I have survey responses that look like this: ...
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4 votes
0 answers
148 views

Inference and noninference parts of statistical theory [closed]

I was wondering from the view of dividing the topics of statistical theory into inference part and non-inference part, what inference topics and non-inference topics statistical theory is covering? ...
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7 votes
2 answers
242 views

Inference with Gaussian Random Variable

Let $X = N(0,\frac{1}{\alpha})$, $Y = 2X + 8 + N_{y}$, and $N_{y}$ be a noise $N_{y} = N(0,1)$. Then, $P(y|x) = \frac{1}{\sqrt{2\pi}}exp\{ -\frac{1}{2}(y - 2x - 8)^{2} \}$ and $P(x) = \sqrt{\frac{\...
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  • 375
4 votes
1 answer
159 views

Can I insert an observation (evidence) to a Winbugs model?

Greetings, Is it possible to use evidence in a Winbug model? For example, a random variable in a model has been observed, and I'd like to update the other variables in the model, pretty much the same ...
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32 votes
3 answers
979 views

Accommodating entrenched views of p-values

Sometimes in reports I include a disclaimer about the p-values and other inferential statistics I've provided. I say that since the sample wasn't random, then such statistics would not strictly apply....
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13 votes
1 answer
958 views

Do likelihood ratios and Bayesian model comparison provide superior & sufficient alternatives to null-hypothesis testing?

In response to a growing body of statisticians and researchers that criticize the utility of null-hypothesis testing (NHT) for science as a cumulative endeavour, the American Psychological Association ...
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18 votes
4 answers
739 views

War stories where wrong decisions were made based on statistical information?

I think it is fair to say statistics is an applied science so when averages and standard deviations are calculated it is because someone is looking to make some decisions based on those numbers. ...
4 votes
2 answers
420 views

Why does continuous Bayesian analysis seem to give this contradictory result?

Let's say you have a process that generates data according to r = sin(t) + epsilon, where epsilon ~ N(0,V) is Gaussian noise. The unconditional variance of r is 0.5 + V. Let's say we're forecasting ...
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22 votes
3 answers
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Comparison between MaxEnt, ML, Bayes and other kind of statistical inference methods

I'm in no way a statistician (I've had a course in mathematical statistics but nothing more than that), and recently, while studying information theory and statistical mechanics, I met this thing ...
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13 votes
2 answers
4k views

Online resources for learning statistics, exercises (with solutions)?

I'm currently working as a teaching assistant at my university, in an introductory statistics course (for medical students). Offline, there are many books available with information to aid the ...
1 vote
2 answers
3k views

Comparison of two values in a statistically sound manner

For a university paper, I have to compare whether two program versions are statistically significantly different. The comparison in terms of runtime performance is straightforward -- I determine ...
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46 votes
4 answers
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What are the factors that cause the posterior distributions to be intractable?

In Bayesian statistics, it is often mentioned that the posterior distribution is intractable and thus approximate inference must be applied. What are the factors that cause this intractability?
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7 votes
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How much can the "pyramid of evidence" be applied to economics and political sciences?

When trying to assess a validity of a claim relying on statistics, I was taught (in the school of epidemiology) that the scale to use is “the pyramid of evidence“ However, when conducting a ...

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