L20.5 Confidence Intervals

MIT RES.6-012 Introduction to Probability, Spring 2018
View the complete course: ocw.mit.edu/RE...
Instructor: John Tsitsiklis
License: Creative Commons BY-NC-SA
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[@hagverdiibrahimli8561]

This man is the best professor I have come across in the stat world.

[@matpulvinci]

Very well explained. It’s refreshing to hear someone actually explaining what it actually is, instead of just how we should perceive it.

[@brandomiranda6703]

Summary for misinterpretation of confidence interval: the statement P(Event) >= 0.95 says that if you do Event then 0.95 of the time it will be true - with the random variables in play for the Event. Thus, if Event is confidence interval estimation, then 0.95 of the time that you construct confidence intervals the true mean will be captured. Since the P(Event) has nothing to do with specific constant (which can be false for any specific computation of the Event), it means that saying the population parameter being in that interval is 0.95 makes no sense since you are not computing the probability of that for your specific values of your parameters, you are instead you are doing a procedure Event that does happen (capture the value you want theta in this case) 0.95 of the time. The event wrt to doing the action "construct confidence interval" and that is the only statement that is true. Anything else is unrelated.

[@loveraswift5665]

very useful!!!

[@jaydenou6818]

why is the confidence interval ">= 1-alpha" instead of "≈ 1-alpha" or "

[@abhinavshukla1264]

thanks a lot!

[@poppypoppy7130]

like