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In a certain school, whenever a teacher receives feedback from students - the students who perform well on tests generally give high ratings to a teacher (in a controlled sample it is observed that these students give 9/10 for teacher who is at least somewhat good, 8/10 for teacher who is not good, and 7/10 for a "bad teacher", and 10/10 for a fairly good teacher). As against the students who don't do well on tests, generally give bad ratings to a teacher (in a controlled sample it is observed that these students give 3/10 for teacher who is at least somewhat good, 1/10 for teacher who is not good, and 0/10 for "a bad teacher", and 5 /10 for a fairly good teacher). It was observed all 50 teachers for last 5 years in each class (where there were 50 students in each class) got surprisingly consistent score of 6/10 but there were varying number of high test scores/low test scoring students in every class. With this information, describe an equitable way to have the "true score" for the teachers and compare teacher performance among their peers and over year over with oneself with your randomly generated sample data. Please describe assumptions you will make, model/algorithm you will use, attach any visualization of the results and also attach random data sample you used in your evaluation.
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Data Scientist

Interviewed at NextBee Media

4.5★
Sep 18, 2019

In a certain school, whenever a teacher receives feedback from students - the students who perform well on tests generally give high ratings to a teacher (in a controlled sample it is observed that these students give 9/10 for teacher who is at least somewhat good, 8/10 for teacher who is not good, and 7/10 for a "bad teacher", and 10/10 for a fairly good teacher). As against the students who don't do well on tests, generally give bad ratings to a teacher (in a controlled sample it is observed that these students give 3/10 for teacher who is at least somewhat good, 1/10 for teacher who is not good, and 0/10 for "a bad teacher", and 5 /10 for a fairly good teacher). It was observed all 50 teachers for last 5 years in each class (where there were 50 students in each class) got surprisingly consistent score of 6/10 but there were varying number of high test scores/low test scoring students in every class. With this information, describe an equitable way to have the "true score" for the teachers and compare teacher performance among their peers and over year over with oneself with your randomly generated sample data. Please describe assumptions you will make, model/algorithm you will use, attach any visualization of the results and also attach random data sample you used in your evaluation.

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