# Tag Info

## New answers tagged inference

### Is considering a specific distribution necessary before computing an average?

The mean (average) is a descriptive statistic, just like the variance (standard deviation), skewness, or the coefficients of a linear regression, etc. They are just the mathematical results of ...
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1 vote

### Is considering a specific distribution necessary before computing an average?

You do not need to know the distribution of the average to use it. Suppose the observations are assumed to be independent and identically distributed. In that case, the estimated expected value of the ...
1 vote

### Variance of marginal posterior distribution

While this is probably true for most relevant examples an easy counterexample exist in that $\theta$ and $\phi$ can be independent in both prior and likelihood. I have constructed a realistic example ...
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Accepted

### Help developing intuition behind sufficient statistics (Casella & Berger)

One can visualize this explanation along a temporal axis The random variable $\mathbf X$ is generated by a distribution $\mathbb P_\theta(\mathbf x)$ with unknown parameter $\theta$ and its observed ...
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1 vote

### Help developing intuition behind sufficient statistics (Casella & Berger)

What is a sufficient statistic? What is its objective? To understand that, consider a (Polish) measurable space $(\mathscr X,\mathfrak A )$ let $\mathfrak P$ be a collection of probability measures ...
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1 vote
Accepted

### Regression with dependent observations of only one individual

My Y variable will likely be binary (agrees/disagrees) or on a Likert scale (1-5) I'd recommend the Likert scale since it's more informative. For analysis you can use an ordinal logistic model. https:...
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### Isn't it problematic to look at the data to decide to use a parametric vs. non-parametric test?

I strongly agree with Stephan Kolassa, but I do think there is an exception: Suppose you carefully consider in advance what test or model you want to use. You justify your choices of assumptions and ...
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Accepted

### Isn't it problematic to look at the data to decide to use a parametric vs. non-parametric test?

Abso-****ing-lutely yes. Ideally, one would decide on the entire analysis before seeing the first shred of data, by leveraging pilot data (which is not used in the "real" analysis). My ...
• 127k
1 vote
Accepted

### How to find the average and SE of a un unknown PDF from a set on sample values already combined into several bins?

Here is a very approximate solution. First, take a guess at the median. Looks like it's about 280, but that's just eyeballing it. You could calculate it assuming a uniform distribution within the ...
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