# Tagged Questions

The area of statistics that focuses on taking information from samples of a population, in order to derive information on the entire population.

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### Help with the Maximum Likelihood Estimator?

I'm really struggling to understand this and am trying to learn it for my upcoming exam. The question I'm trying to do is Write down the likelihood function and then find the Maximum likelihood ...
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### Where can using two different test statistics in a hypothesis test lead you?

Do two test statistics at the same $\alpha$ value give the same TYPE 1 error rate and same decision? I think it is clear that they do give the same TYPE 1 error rate by definition, but do they always ...
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### expected value of the average cubed

I can not resolve an issue of the book Mathematical Statistics of Shao, is as follows: If $E|X_{1}|^3$ is finite, get $E(\bar{X}^3)$ and $Cov(\bar{X},S^2)$ If $E|X_{1}|^4$ is finite, get $Var(S^{2})$...
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### Linear Regression with Paired Data

For a sample of paired data (x,y), t tests are performed for the slopes of the population regression lines of y on x and of x on y. The null hypothesis in both tests is $H0:β=0$. Is it possible for ...