Bias and MSE

A sample teaching unit from our Stats Refresher online classroom
For more information visit our webpage at:
www.ActEd.co.uk/StatsRefresher

[@davidbalakirev5963]

Finally, a video where instead of just reciting the definitions we see many examples. In less than 8 minutes. Wonderful!

[@Maya_s1999]

I have never seen MSE explained better! Thanks so much for the video - subbed 😀

[@muhammadaliimran2331]

Short and to the point. Thank you

[@heidiclayton9612]

Clear with good examples. Thank you!

[@ActuaryEducation]

I'm so pleased you found it helpful.

[@dyyddson]

Thank you, an excellent video of the subject!

[@theuser810]

This video is a lifesaver!

[@PeachyGamingg]

Thank you for this wonderful video!

[@j83lin]

Very informative video! Thank you so much!

[@julioarciga7196]

Am I the only one that wishes their professor would just make it this simple in lecture?

[@PedroRibeiro-zs5go]

Thanks for the video! It was pretty good!!

[@amitpadgaonkar8830]

Amazing explanation. Thank you

[@Mahlodi_Makobe]

Short and sweet. I loved this video. may we please get more content like this?

[@zgbjnnw9306]

THis is so much helpful! Thank you for sharing :) subbed

[@gustavoborba8112]

Awesome vid

[@MasterPsyi]

This is gold!

[@priyak2303]

Thanks a lot❤

[@cratersonmoon5399]

Thanks ,you explained it very well

[@the_milkyway6494]

Thanks a milion!

[@DenisG631]

Simply golden! Thank you!

[@ActuaryEducation]

I'm so pleased you found it helpful in your studies.

[@madwichery]

Thank you!

[@maxwinmax]

Thank you, this video was very clear and short!

[@ActuaryEducation]

I'm glad you found it helpful.

[@roottwo5459]

great stuff

[@noahrubin375]

This was premium content. New sub :)

[@ActuarialTutor]

So pleased you found it helpful.

[@sadrafattouh]

thank you so much!!

[@Lovelifeplease]

A very good video

[@ActuaryEducation]

I'm so pleased you found it helpful.

[@mesydiahariani9570]

great, it is easy to understand

[@alexanderjavadpeygambarian9878]

why do you square 1/n to make it 1/n^2 after taking it outside the Variance

[@ActuaryEducation]

It would be 1/n if it was standard deviation as that has the same dimensions as the data. However, variance is a squared measure.

[@pengtian9924]

According to the definition of variance, we have this formula: Var(aX)=a^2Var(X), where a is any constant.

[@mohammedkhan8753]

for the last example the variance of a Bin(n,p) is v(x)=np(1-p) so MSE = p(1-p)/n

[@lokeshdaga8456]

Its same as (1-p) = q

[@ayesigasteven8058]

A real professor

[@Test-ri2kr]

At 2:02 can someone please explain why Xbar is = mu/n? I know in the next example why as P=X/n but in this example it doesn’t looo like X=mu/n

[@boyawei15]

save my life!!

[@plttji2615]

Thank you for the video, can you help me how to prove that is unbiased in this question? Question: Compare the average height of employees in Google with the average height in the United States, do you think it is an unbiased estimate? If not, how to prove it is not mathced?

[@swaggy745]

if we are given a pdf of 4 values of x with their probabilities in terms of theta, then we find an estimator for the mean theta-hat and then we find the mean square error in terms of theta (should it be in terms of theta?), how can we find if it it mean square consistent. I am unsure because n=4 for my questions so I can't see how it makes sense to consider the limit as n goes to infinity. Please could someone shed some light. Thank you

[@MIKE-cs3dk]

Why do we square the 1/n outside of the variance?

[@janetchela7585]

Where is the example for the biased estimators?

[@morakano3355]

What is q in npq at the end of the lecture?

[@inigohohmeyer1791]

At 5:58 why is the n squared?

[@Kyaint]

You would think he'd show a biased and unbiased example instead of just unbiased but nothing makes sense with teachers these days.

[@rohitarora3814]

The way explained is very difficult to understand