A How Can We Analyze an Exam with Varying Multiple Choice Options?

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Analyzing a multiple-choice exam with varying options per question can be approached using a Binomial distribution if all questions have the same number of choices. However, when questions have different numbers of choices, a Multinomial distribution may be more appropriate. Grouping questions by their number of possible answers can facilitate this analysis. The discussion also humorously touches on a potential typo regarding the term "generalizing." Overall, the focus remains on finding a suitable statistical method for varied multiple-choice formats.
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If we had a multiple choice exam with , say, 20 questions, with 4 choices for each question, we can analyze it as a Binomial(20, .25). What if instead , some of the questions offered 2,3, 4, etc., choices? Is there a " nice" way of analyzing the exam as a whole?
 
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Is it genitalizing or generalizing? :-p
 
Frabjous said:
Is it genitalizing or generalizing? :-p
I'm almost certain he meant "generalizing." I have changed the title to suit my assumption.
 
Mark44 said:
I'm almost certain he meant "generalizing." I have changed the title to suit my assumption.
It is now a less interesting thread. :cry:
 
WWGD said:
If we had a multiple choice exam with , say, 20 questions, with 4 choices for each question, we can analyze it as a Binomial(20, .25). What if instead , some of the questions offered 2,3, 4, etc., choices? Is there a " nice" way of analyzing the exam as a whole?
Multinomial distribution? You could group the questions by their number of possible answers.
 
Frabjous said:
Is it genitalizing or generalizing? :-p
Maybe PFs auto correct is a pervert.
 
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