Timeline for ROC curve as predictive tool in human performance--relationship between $\beta$, $X_C$, and signal probability
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| Feb 9, 2023 at 10:08 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Sep 27, 2022 at 17:06 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| May 29, 2022 at 7:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| May 2, 2021 at 4:40 | history | edited | Max | CC BY-SA 4.0 |
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| May 2, 2021 at 4:35 | answer | added | Max | timeline score: 1 | |
| Mar 4, 2021 at 22:21 | comment | added | Max | That is, there is no formula for $X_C$, although you can compute the optimal threshold from the formula for optimal beta. | |
| Mar 4, 2021 at 22:19 | comment | added | Max | $X_C$ is the threshold the observer uses to decide what is a signal, but it's something that we can also "set," because in some cases the observer is in fact an automated alert system (confusing, right?). Then experimental beta is derived from the threshold chosen and the distributions of the signal and noise intensity. | |
| Mar 4, 2021 at 22:14 | comment | added | gung - Reinstate Monica | What I mean is, there is a formula to calculate $X_c$, but it also has a theoretical meaning: It's the threshold the person uses. Is there such a verbally defined meaning for beta? Are you given any reason to care what it is? Why bother computing it? | |
| Mar 4, 2021 at 22:04 | comment | added | Max | As best as I can tell, the formula I gave is this text's definition of beta and everything else is an emergent property. It is also referred to as the bias, or ratio of ordinates (slope of the ROC curve). | |
| Mar 4, 2021 at 13:59 | comment | added | gung - Reinstate Monica | Does beta have a substantive / theoretical meaning prior to the computations given (ie, are the formulas just telling you how to calculate a meaningful variable), or is it just something that can be computed from numbers you have? | |
| Mar 4, 2021 at 13:57 | history | edited | gung - Reinstate Monica |
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| Mar 4, 2021 at 13:42 | history | edited | kjetil b halvorsen♦ |
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| Mar 4, 2021 at 5:07 | history | edited | Max | CC BY-SA 4.0 |
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| Mar 4, 2021 at 4:36 | history | edited | Max | CC BY-SA 4.0 |
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| Mar 4, 2021 at 4:29 | history | edited | Max | CC BY-SA 4.0 |
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| Mar 4, 2021 at 1:53 | history | asked | Max | CC BY-SA 4.0 |