Timeline for How to do hypothesis testing for Minimum value?
Current License: CC BY-SA 4.0
10 events
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| Nov 28, 2023 at 0:19 | comment | added | Peter Flom | Maybe you should tell us, in ordinary English, what you are trying to do? | |
| Nov 28, 2023 at 0:11 | history | edited | Joe the Second | CC BY-SA 4.0 |
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| Nov 27, 2023 at 20:28 | comment | added | Michael Lew | Is it worth noting that a normal distribution extends from negative infinity to positive infinity? It is possible to show that the mean of the distribution is above a threshold with 95% confidence even though the smallest possible value is far, far below that threshold. | |
| Nov 27, 2023 at 20:24 | comment | added | Joe the Second | @J_H, Thanks for the response, I updated my question. | |
| Nov 27, 2023 at 20:24 | comment | added | Joe the Second | @whuber thanks for the response, I updated my question. | |
| Nov 27, 2023 at 20:23 | history | edited | Joe the Second | CC BY-SA 4.0 |
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| Nov 27, 2023 at 19:48 | comment | added | J_H | "the minimum value" suggests that there is a True Minimum value in the underlying population being sampled. It's a value that could conceivably show up in future samples. If the random variable being sampled is Age then we can announce "minimum value is zero!" without resorting to statistics, assuming the generative process didn't filter at some threshold. The question that perhaps you really wanted to ask is: I will take K samples of size N in the future, producing K minima drawn from a distribution. Can I usefully estimate (mu, sigma) for that distribution? | |
| Nov 27, 2023 at 19:01 | comment | added | whuber♦ | Welcome to CV, Joe. By comparing the smallest number in the dataset to the threshold you can be 100% confident about the result! If you wish to test whether the distribution supposed to generate the data has a minimum and that minimum is not less than a threshold, then even to formulate a test statistic you must postulate some specific set of distributions, for otherwise your question is unanswerable. Please, then, edit your post to provide more information about your dataset and your assumptions. | |
| S Nov 27, 2023 at 18:32 | review | First questions | |||
| Nov 27, 2023 at 20:05 | |||||
| S Nov 27, 2023 at 18:32 | history | asked | Joe the Second | CC BY-SA 4.0 |