Why Dividing By N Underestimates the Variance

StatQuest with Josh Starmer
StatQuest with Josh Starmer
123.4 هزار بار بازدید - 5 سال پیش - This is the follow up
This is the follow up video to:
Statistics Fundamentals: The Mean, Variance and Standard Deviation
Calculating the Mean, Variance and St...

In it, we show exactly why, when we estimate the variance, dividing by 'n' underestimates the value we are interested in. It also describes why we square each term instead of taking the absolute value. The visuals used in this StatQuest make it easy to remember why we should divide by n-1, and this will save us from falling into a very common pitfall.

If you'd like to support StatQuest, please consider...

Support StatQuest by buying The StatQuest Illustrated Guide to Machine Learning!!!
PDF - https://statquest.gumroad.com/l/wvtmc
Paperback - https://www.amazon.com/dp/B09ZCKR4H6
Kindle eBook - https://www.amazon.com/dp/B09ZG79HXC

Patreon: Patreon: statquest
...or...
YouTube Membership: @statquest

...a cool StatQuest t-shirt or sweatshirt:
https://shop.spreadshirt.com/statques...

...buying one or two of my songs (or go large and get a whole album!)
https://joshuastarmer.bandcamp.com/

...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:
Twitter: joshuastarmer

Corrections:
3:23 I should have said "To understand why dividing by n underestimates the variation around the population mean".
3:40 The estimated mean was switched with the population mean.

#statquest #variance
5 سال پیش در تاریخ 1398/04/24 منتشر شده است.
123,454 بـار بازدید شده
... بیشتر