Recent content by JonasJSchreibe
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Graduate How Likely Are Specific Answer Distributions on Multiple Choice Exams?
There is a 54.6% chance of having 4, 5, or 6 occurrences of a specific choice (A-E). That, to the fifth power (because there are 5 choices) is 4.8%. Having this occurrence (all 5 choices have between 4 and 6 occurrences) on two consecutive exams is less than .25% (4.8%^2). This statistic...- JonasJSchreibe
- Post #9
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How Likely Are Specific Answer Distributions on Multiple Choice Exams?
Well, my data determines that the upper bound is .048543, I think that's correct. On two consecutive exams I can say that the upper bound is .048543^2 ~ .0025 or odds of 400:1 i.e. very unlikely. I just wanted to determine whether this freak occurrence is just that, or by design. If it is the...- JonasJSchreibe
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How Likely Are Specific Answer Distributions on Multiple Choice Exams?
Looking at the Wikipedia page for Goodness of Fit scares me. I seem to remember a least-squares regression analysis which was used to determine causality vs correlation that looked a bit like this. I balked at it when I saw the Wikipedia page. Hopefully there is a better resource online to help...- JonasJSchreibe
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How Likely Are Specific Answer Distributions on Multiple Choice Exams?
I don't believe I have. However, I realized that the only 3 possibilities for between 4 and 6 occurrences for choices A-E with 25 trials are {5,5,5,5,5}, {5,5,5,4,6}, or {5,4,6,4,6}. Should this help me in any way? I suppose I could do p(5,5,5,5,5) + all permutations of p(5,5,5,4,6) + all...- JonasJSchreibe
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How Likely Are Specific Answer Distributions on Multiple Choice Exams?
Hi, I am new here, and my name is Jonas. I'm a CS major at a university in the Northeast US. I'm a senior and wrapping up degree requirements which include a science track. I chose Chemistry because Physics was full. The chemistry exams are multiple choice (because you couldn't grade 300...- JonasJSchreibe
- Thread
- Binomial Binomial distribution Distribution
- Replies: 8
- Forum: Set Theory, Logic, Probability, Statistics