The TV show MONK recently finished its 8th and final season. My wife and I are big fans and have seasons 1-7 on DVD (and we will get 8). But this post is not about Monk. Its about the question: How to determine how good a TV show is? I am sure that whatever I say here may apply to other problems.
First assign to each episode a number between 1 and 10 depending on how much you liked it. (This could be the hardest part of the method.) Let t be a parameter to be picked later. t stands for threshold. If your criteria is How likely is it that an episode is OUTSTANDING? then you would pick t large, perhaps 9. If your criteria is How likely is it that an episode DOES NOT SUCK? then you would pick t small, perhaps 2. Some of the methods use t, some do not.
There are many different ways to do this. We give a few of them:
- The mean or median of all of the episodes.
- The probability that a randomly chosen episode is rated above t. (Could also get into prob that it is within one standard deviation from t.)
- The probability that a randomly chosen disc has an episode rated above t.
- The probability that a randomly chosen disc has fraction f of its episodes rated above t.
- Rate each disc in the DVD set for the entire season. The mean or median of all of these ratings.
- The mean or median of the best season.
- The mean or median of the worst season.
For those who are fans of the show MONK here are my choices for OUTSTANDING and UNWATCHABLE episodes: here