Explaining Confidence Intervals and The Critical Region

Video contains some mistakes! Please refer to the errata in my pinned comment for reference.
A breakdown of where the confidence interval comes from and how to use it
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Пікірлер: 34

  • @very-normal
    @very-normal3 ай бұрын

    ERRATA: - 7:51: this translation of the confidence interval is a common misconception. It's NOT a probability. It's better interpreted as the proportion of intervals that will actually contain the true population difference. This comes up later in the video, but I didn't correct this during editing. Proportions and probabilities are not quite the same thing in this situation. Sorry about that everyone!

  • @MKhan-zo8xo

    @MKhan-zo8xo

    3 ай бұрын

    going off of this, is the left side of the equation supposed to be t with a subscript of 97.5% or 2.5%? asking because I was curious that the notation changed

  • @very-normal

    @very-normal

    3 ай бұрын

    Since the t-distribution is symmetric, the percentiles have the same value, but have different signs. I usually think about the calculation in terms of the positive one, so that’s why I put the 97.5th percentile on the left too. Hope this helps clarify!

  • @sjuns5159

    @sjuns5159

    3 ай бұрын

    At 1:16 you label both the null and alternative hypothesis as H_0, then keep the alternative on the screen, still as H_0 :)

  • @aangelo

    @aangelo

    3 ай бұрын

    If you change "values" to "random bounds", the translation will be correct.

  • @MKhan-zo8xo

    @MKhan-zo8xo

    3 ай бұрын

    yes! thanks for the answer :D @@very-normal

  • @nintendofa
    @nintendofa3 ай бұрын

    wake up babe, very normal just posted

  • @very-normal

    @very-normal

    3 ай бұрын

    we’re so back

  • @erenjaegersrightbicep63
    @erenjaegersrightbicep633 ай бұрын

    Man inferential stat don't get no more intuitive than this :)) I used many of your explanations to draft the methodology section of my Bachelors thesis, and I'm reallyy confident that I'll ace the defence having watched your content. Thank you so much for your hard work!! Would really love to see more Bayesian and Causal Inference content in the future.

  • @very-normal

    @very-normal

    3 ай бұрын

    Good luck on your defense!

  • @user-kf3vu2lr5n
    @user-kf3vu2lr5nАй бұрын

    Thanks hero!!! Had been having troubles understanding the intuitive concept and this cleared it up!!!

  • @somteezle1348
    @somteezle13483 ай бұрын

    Keep them coming man!

  • @MKhan-zo8xo
    @MKhan-zo8xo3 ай бұрын

    this is mana from heaven, great work!

  • @OmnivorousPancake
    @OmnivorousPancake3 ай бұрын

    Love your channel dude, watched nearly all the videos in a couple of days and finally many things started to make sense! Can you make a video about Bayesian and Frequentist paradigms, their differences and commons?

  • @very-normal

    @very-normal

    3 ай бұрын

    Thanks! It’s a little surreal to see people want to binge my videos, but I’m glad you’re getting value from them! And yea! A frequentist-Bayesian video is in the works! It might be a while before it’s out, so keep your eyes peeled. Thanks again for your viewership!

  • @aangelo
    @aangelo3 ай бұрын

    Great video! I noticed one typo: you write H_0 when you speak about the alternative, approximately between the 88s and 102s.

  • @very-normal

    @very-normal

    3 ай бұрын

    Oops, sorry about that! Thanks for letting me know!

  • @santiagodm3483
    @santiagodm34833 ай бұрын

    The fact that we don't know that our hypothesis are actually true is one of the reasons we should i encourage replication in the journals in order to be more sure about what we know.

  • @Featherlicht

    @Featherlicht

    Ай бұрын

    That’s why meta analysis is a thing. But the way studies are conducted or reported can be very heterogeneous which makes meta analyzing more difficult.

  • @nickleland2131
    @nickleland21313 ай бұрын

    Is that... animal crossing music in the background?? Phenomenal video as always!

  • @very-normal

    @very-normal

    3 ай бұрын

    You got some good ears

  • @vrl9037
    @vrl90373 ай бұрын

    Where were you during my degree bro 😂 These videoes are so good

  • @RagaarAshnod
    @RagaarAshnod3 ай бұрын

    Didn't receive a notification from KZread :c

  • @very-normal

    @very-normal

    3 ай бұрын

    KZread hates confidence intervals :(

  • @santiagodm3483
    @santiagodm34833 ай бұрын

    We went bayesian in 7:51🙈🙈.

  • @very-normal

    @very-normal

    3 ай бұрын

    Broke Bayesian for a bit

  • @psl_schaefer
    @psl_schaefer3 ай бұрын

    Maybe this is being too particular, but at around kzread.info/dash/bejne/l5V2mLWme62sos4.html you say that the left point is for very "low differences", whereas I would rather say for "very negative differences". I.e. intuitively low difference implies for me low absolute difference. Anyway, thanks for making those videos :)

  • @very-normal

    @very-normal

    3 ай бұрын

    Ah yeah, that makes sense lol, I’ll try to remember this for future videos. I think your phrasing is clearer, thank you!

  • @xenonmob
    @xenonmob3 ай бұрын

    The "translation" at 7:51 is absolutely the incorrect interpretation of a confidence interval. I'm surprised you subscribe to this very common misconception.

  • @very-normal

    @very-normal

    3 ай бұрын

    You’re right, this one fell through the cracks, that translation shouldn’t be phrased that way. I’ll add an addenda to clear that one up

  • @santiagodm3483

    @santiagodm3483

    3 ай бұрын

    Everyone makes mistakes, thank goodness he realized it.

  • @demiangrams

    @demiangrams

    3 ай бұрын

    Yeas but it is not really "absolutely incorrect", 95% of the confidence procedures will contain the true value, but that's a pre-data statement, and it is about the procedure, not the parameters. Interpreting any particular observed confidence interval is very hard, for those interested, read "The fallacy of placing confidence in confidence intervals" for some considerations.

  • @LordDockerton
    @LordDockerton2 ай бұрын

    How do I give you money?

  • @very-normal

    @very-normal

    2 ай бұрын

    your viewership is all that’s needed 🫡