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+ +```{figure} ../images/cant_argue_with_that_meme.png +--- +height: 300px +name: cant_argue_with_that_meme +--- +You, when you realize the true complexity of the question. +``` + +At a glance, one might think to define "similarity" as the +proportion of questions both students responded to with the exact same answer. +In other words, count the number of questions that had identical answers, +and divide by the total number of questions on the exam. +I mean, if two students collaborate/copy on an exam, +we expect them to have identical (or near-identical) answers, right? +Well, sure, that's true: +students who collaborate/copy will likely have a lot of identical answers. +However, the reverse direction is not necessarily true: +students who have a lot of identical answers didn't necessarily collaborate/cheat: +assuming the instructor wrote a fair exam, +students *should* hopefully converge towards the correct answers, +meaning two students who mastered all of the course materials should have identical +(or near-identical) exams (all of the right answers). +In the world of statistics, +we call this simple model [non-identifiable](https://en.wikipedia.org/wiki/Identifiability): +two different input scenarios (collaborate vs. just do well on the exam) +result in the same outcome (high proportion of identical answers), +so the proportion of identical answers may not be super informative in cheating detection on its own. + +TODO TALK ABOUT SHARED IDENTICAL ANSWERS + ```{glossary} Detection The act of correctly identify cases of cheating {cite:p}`eaton_remote_2024`. diff --git a/teach_online/modalities.md b/teach_online/modalities.md index 218c958..34f1bca 100644 --- a/teach_online/modalities.md +++ b/teach_online/modalities.md @@ -156,7 +156,7 @@ once said about hard vs. soft tacos, ```{figure} ../images/why_not_both_meme.png --- height: 300px -name: why-not-both-meme +name: why_not_both_meme --- "Why not both?" meme. ```