Timeline for Quantifying the confidence that the most sampled outcome is the most probable outcome
Current License: CC BY-SA 4.0
15 events
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Mar 8, 2023 at 10:34 | vote | accept | Codename 47 | ||
Mar 5, 2023 at 17:04 | comment | added | whuber♦ | For essentially the same question (with answers) please see stats.stackexchange.com/questions/274211. There the metaphor for a discrete random variable is a population of voters for various candidates -- but it's exactly the same problem. | |
Mar 5, 2023 at 16:46 | history | edited | kjetil b halvorsen♦ |
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Mar 5, 2023 at 4:48 | answer | added | kjetil b halvorsen♦ | timeline score: 2 | |
Mar 3, 2023 at 9:44 | comment | added | cdalitz | @num_39 The usual approach to hypothesis testing is to assume the opposite of what is to be shown (or, as critics would say: something that is known to be wrong ;-) and compute the p-value under this "null hypothesis". What should be a null hypothesis in this case that allows for computong the distribution of some test statistic? If you have an idea, I would greatly appreciate if you elaborate it into an answer. | |
Mar 2, 2023 at 18:25 | answer | added | Henry | timeline score: 5 | |
Mar 2, 2023 at 13:17 | history | edited | Codename 47 | CC BY-SA 4.0 |
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Mar 2, 2023 at 13:16 | comment | added | Codename 47 | @Dave No, I want to find the most probable outcome of the die. | |
Mar 2, 2023 at 13:15 | comment | added | Dave | Do you want to test if the die is fair? | |
Mar 2, 2023 at 13:13 | comment | added | Codename 47 | @num_39 That sounds right - I want to test the hypothesis that the most rolled side is the most probable side according to the underlying, unknown probability distribution. I admit I am not sure what the difference between the methods you mention is. | |
Mar 2, 2023 at 13:09 | comment | added | num_39 | You could create a confidence interval for the estimate of the probability of each of the six sides but it sounds like you want to test a hypothesis that side a is the side with the most probability against all the other five sides? | |
Mar 2, 2023 at 12:59 | comment | added | Codename 47 | I am looking for a confidence interval for the probability of each roll, which would then allow me to evaluate how sure I am that the most rolled result is also the most probable result. I am not interested in evaluating whether the die is fair. Thanks for the clarification help. | |
Mar 2, 2023 at 12:52 | comment | added | cdalitz | Are you looking for a confidence interval for the probability of a "5"? Or (closely related) for hypothesis testing of the null hypothesis that $P("5")=1/6$? | |
S Mar 2, 2023 at 12:43 | review | First questions | |||
Mar 2, 2023 at 13:19 | |||||
S Mar 2, 2023 at 12:43 | history | asked | Codename 47 | CC BY-SA 4.0 |