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Curated by: StatQuest with Josh Starmer (178 videos)
Calculating the maximum likelihood estimates for the normal distribution shows you why we use the mean and standard deviation define the shape of the curve. NOTE: This is another follow up to the StatQuests on Probability vs Likelihood https://youtu.be/pYxNSUDSFH4 and Maximum Likelihood: https://youtu.be/XepXtl9YKwc Viewers asked for worked out examples, and this one is super mathy, but I just couldn't say "no"! For a complete index of all the StatQuest videos, check out: https://statquest.org/video-index/ If you'd like to support StatQuest, please consider... Patreon: https://www.patreon.com/statquest ...or... YouTube Membership: https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join ...buying one of my books, a study guide, a t-shirt or hoodie, or a song from the StatQuest store... https://statquest.org/statquest-store/ ...or just donating to StatQuest! https://www.paypal.me/statquest Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter: https://twitter.com/joshuastarmer 0:00 Awesome song and introduction 0:45 Overview of the normal distribution equation 1:41 Example with one data point 5:38 Example with two data points 7:35 Example in 'n' data points 8:08 Solving for the MLEs for mu and sigma 18:54 Review of concepts Correction: 2:39 I said likelihood=0.03 for mu=30, but mu=28 is in the equation. #statquest #MLE #statistics