Timeline for How to mathematically express a p-value in terms of the t-statistic in a one-sample t-test
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2022 at 17:25 | history | edited | jglad | CC BY-SA 4.0 |
corrected format for "p-value" using LaTex
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| Nov 28, 2022 at 15:00 | history | tweeted | twitter.com/StackStats/status/1597243934974935040 | ||
| Nov 13, 2022 at 22:46 | vote | accept | jglad | ||
| Nov 13, 2022 at 22:29 | history | edited | utobi |
edited tags
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| Nov 13, 2022 at 22:25 | history | edited | jglad | CC BY-SA 4.0 |
Corrected some incorrect calculations
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| Nov 13, 2022 at 21:41 | answer | added | utobi | timeline score: 3 | |
| Nov 13, 2022 at 20:38 | history | edited | jglad | CC BY-SA 4.0 |
added 5 characters in body
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| Nov 13, 2022 at 20:37 | comment | added | jglad | @dipetkov Not quite--updated the question explaining why. Thank you! | |
| Nov 13, 2022 at 20:36 | history | edited | jglad | CC BY-SA 4.0 |
added 348 characters in body; edited title
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| Nov 13, 2022 at 14:18 | review | Close votes | |||
| Nov 28, 2022 at 3:04 | |||||
| Nov 13, 2022 at 14:00 | comment | added | dipetkov | Does this answer your question? Calculate p-value for one-sample T-test in SPSS: 1 - p/2? | |
| Nov 13, 2022 at 3:04 | comment | added | User1865345 | @jglad they were not questions. They were hints. And Zhanxiong wrote it explicitly. You were calculating $t$ but wrote $\bar x$ in writing the $p$-value. | |
| Nov 13, 2022 at 2:56 | comment | added | Zhanxiong | It should be $P_{\mu_0}(T \geq t_{\text{obs}})$, where $T = \sqrt{n}(\bar{X} - \mu_0)/s$, which has a $t_{n - 1}$ distribution under $H_0$. | |
| Nov 13, 2022 at 2:55 | comment | added | jglad | The test statistic here is the ratio defined by the difference between the sample mean and the hypothesized population mean divided by the standard error (where the standard error is the sample standard deviation divided by the square root of the sample size). In LaTex, it is $\frac{\bar{x} - \mu}{s / \sqrt{n}}$. The $p$-value in this case is the probability of observing a sample mean of 71 or greater when the population mean is in fact 67. Does this answer your question? | |
| Nov 13, 2022 at 2:29 | comment | added | User1865345 | What is your test statistic here? What is the definition of $p$-value? | |
| Nov 13, 2022 at 2:16 | history | edited | jglad | CC BY-SA 4.0 |
Edited title
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| S Nov 13, 2022 at 2:15 | review | First questions | |||
| Nov 13, 2022 at 3:29 | |||||
| S Nov 13, 2022 at 2:15 | history | asked | jglad | CC BY-SA 4.0 |