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Mathematical theory of statistics, concerned with formal definitions and general results.

4 votes

Can I use smaller p-value from T-test and U-test?

You should decide your test first, then get the p-value. Otherwise you could keep doing tests until one of them gives you what you want. If you're going to perform multiple tests, then you should use …
David's user avatar
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2 votes

Expectation over a max operation

Let X be uniform in (0, 5) and c=2. Here you have a counterexample with each side of the inequality being 3.5 and 2.5
David's user avatar
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0 votes

estimate mean and standar deviation from proportions

I am not 100% sure about this approach, but I think it works. 2500 is the quantile 0.679 of your distribution. The same quantile in the standard normal is at 0.465 3000 is the quantile 0.9979 (=1-0. …
David's user avatar
  • 2,665
2 votes

Why Normality assumption in linear regression

When working with those hypothesis, squared-erros based regression and maximum likelihood provide you the same solution. You are also capable of getting simple F-tests for coefficient significance, as …
David's user avatar
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0 votes

Question about prediction: if a variable can predict another variable

At least intuitively, it definitely should! Assume Z=4, then Y is likely to have a high absolute value. Assume Z is close to zero, now Y is definitely small. What Z will not tell you is any informati …
David's user avatar
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1 vote

Statistics and Probability. Please show solution

Assuming a normal distribution: Subtract 1.95*3.1/sqrt(8) to the mean. That's the lower bound. Add 1.95*3.1/sqrt(8) times the standard deviation to the mean.That's the upper bound. Sometimes that …
David's user avatar
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