Timeline for Variance of difference of two correlated variables when working with random samples of each
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 5, 2019 at 1:30 | comment | added | rnorouzian | Dear Bruce, I thought you might be interested in THIS QUESTION. | |
| Aug 4, 2019 at 20:58 | comment | added | BruceET | Please see updates to Answer. A basic probability book may answer some of your questions, but I have tried to include relevant details in as addenda to my Answer. // If you want to explore details further, please isolate individual topics as focus for new Questions. // We're about to be busted for 'chatting' in Comments. | |
| Aug 4, 2019 at 20:49 | history | edited | BruceET | CC BY-SA 4.0 |
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| Aug 4, 2019 at 19:12 | vote | accept | rnorouzian | ||
| Aug 4, 2019 at 4:35 | history | edited | BruceET | CC BY-SA 4.0 |
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| Aug 4, 2019 at 1:13 | comment | added | BruceET | Yes, but think before you simulate. For the distribution of the mean of independent observations, standard theory may tell you all you need to know. | |
| Aug 4, 2019 at 1:01 | comment | added | BruceET | Yes, in particular the population standard deviations 3, 7, and 5 in the 2nd and 3rd lines of code. The correlations are inherited from them. | |
| Aug 4, 2019 at 0:57 | comment | added | rnorouzian | By "guess parameters", are you only referring to $r$, or also $V_1$ and $V_2$, the variances of the actual random variables? Also, what do you think about the comment by @ Jarle Tufto who stated: If you don't observe $Y_1$ and $Y_2$ together in pairs, you have no way of estimating their covariance or the variance of their difference? | |
| Aug 4, 2019 at 0:47 | comment | added | BruceET | Yes. It would be best to have a large sample from the populations of interest. Failing that, you can try to guess parameters and get corresponding answers from a large simulation. | |
| Aug 3, 2019 at 21:53 | history | edited | BruceET | CC BY-SA 4.0 |
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| Aug 3, 2019 at 21:43 | history | answered | BruceET | CC BY-SA 4.0 |