Graduate 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.
WWGD
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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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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