# Tag Info

## New answers tagged statistical-inference

Accepted

### Link between mean square and variances in ANOVA

After some research, the definitions presented above for the within and between locations variance are correct. We can find these definitions in the book: Anand M. Joglekar. Statistical Methods for ...
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1 vote

### Determine sample size so that it guarantees that the length of the confidence interval is less than $\frac{\sigma}{4}$

Hint: According to CLT for sample variance, if the 4th central moment of iid function exists, then sample variance converges in distribution to a normal distribution. By applying Delta method, we can ...
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### How to prove SSE and SSR are independent

To prove $(I-X(X^{T}X)^{-1}X^{T})(X(X^{T}X)^{-1}X^{T}-\frac{1}{n}J)=0$ , we only need to prove: \begin{split} \mathbf{1_n(1_n)^T} = X(X^{T}X)^{-1}X^{T}\mathbf{1_n(1_n)^T} \end{split} And $\mathbf{1_n}$...
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### Question about unbiased estimators

The term "population" should not be taken too literally here. This is a question in Probability theory, which is then used in Statistics. The random variables $\{X_i\}_{i=1}^n$ (using ...
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Accepted

• 51
1 vote
Accepted

I agree with the other answer but want to add that we should be more clear about why this is a necessary assumption that is often made in statistics. The usual definitions are: A statistical model $\... • 5,462 1 vote ### Question about definition of statistical Model in information geometry Short answer: My guess is that properties of the manifold will be inferred from properties of$E$and$\xi \mapsto p(\cdot;\xi)$. In order to establish many topological properties having an injective ... • 1,175 2 votes ### How can I relate KL-divergence or other distances to the number of samples required to distinguish between two distributions? An interesting case is when$p$and$q$are supported on a finite set, say$[n]=\{1,\ldots,n\}.\$ The paper that started research along these lines in the CS literature is Batu et al see here. The ...
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