Confidence Intervals: Crash Course Statistics #20

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  • čas přidán 12. 06. 2018
  • Today we’re going to talk about confidence intervals. Confidence intervals allow us to quantify our uncertainty, by allowing us to define a range of values for our predictions and assigning a likelihood that something falls within that range. And confidence intervals come up a lot like when you get delivery windows for packages, during elections when pollsters cite margin of errors, and we use them instinctively in everyday decisions. But confidence intervals also demonstrate the tradeoff of accuracy for precision - the greater our confidence, usually the less useful our range.
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Komentáře • 135

  • @EChu3173
    @EChu3173 Před 4 lety +483

    I'm 95% confident that students like us cannot retain information verbally

  • @svwtsvfcb
    @svwtsvfcb Před 6 lety +809

    I have my statistics exam in 2 days and believe me, I'm not 95% confident of succeeding at all

  • @gingeraira
    @gingeraira Před 5 lety +172

    i am 95% more confused than I was before

  • @nasia6712
    @nasia6712 Před 5 lety +537

    Crash course should have the math written down or drawn out instead of just telling us the process of the math. It's hard for me to imagine the math in my head. The graphs help though!

    • @mkaberli
      @mkaberli Před 5 lety +20

      Nasia furthermore, she talks way too fast to adequately absorb the information.

    • @bGlennjamin
      @bGlennjamin Před 5 lety +24

      I usually cross reference with Khan Academy when I need to see the calculations.

    • @guilhermeadan2329
      @guilhermeadan2329 Před 4 lety +2

      yess

  • @Tawkitoutti
    @Tawkitoutti Před 4 lety +148

    started off okay and just devolved into noise where i would occasionally hear 'distribution'

  • @jakeborrelli2200
    @jakeborrelli2200 Před 6 lety +190

    im 95% sure I'm gonna fail my exam tomorrow ahahaha kms

  • @waterfairy2011
    @waterfairy2011 Před 9 měsíci +11

    4:10 calculate 95% CI
    7:00 t distribution
    to calculate t distribution, use program
    10:40 margin of error

  • @victornoagbodji
    @victornoagbodji Před 6 lety +118

    ah stats... always very intuitive at the beginning. and then becomes less and less intuitive. it's just new terms and formula at some point. there is no "big picture" to help you find where you are or why you are there. anyways, great explanation as always.

  • @awaisafridiyt7736
    @awaisafridiyt7736 Před 5 lety +71

    statistics lesson on crash course should be more like written rather than oral explanation.

  • @francoislacombe9071
    @francoislacombe9071 Před 6 lety +69

    I am 95% confident there won't be gold lame pants next week.

  • @d_wang9836
    @d_wang9836 Před 6 lety +125

    Confidence and Stastics are words that people usually wouldnt put in the same sentence

    • @Adeith
      @Adeith Před 6 lety +9

      "I have no confidence about thees statistics"

  • @ashlynnbarrera
    @ashlynnbarrera Před 5 lety +84

    Who here is cramming for tomorrow??

    • @captainphysix
      @captainphysix Před 5 lety +2

      HOLYSHIT ME

    • @sirela7915
      @sirela7915 Před 4 lety +1

      Cramming for tonight!!

    • @maxwatchman6129
      @maxwatchman6129 Před 4 lety

      I’m here for fun and ‘background learning’ et. ‘playing games while absorbing knowledge’

  • @Mgaby1992
    @Mgaby1992 Před 5 lety +38

    i have a stats exam in 3 days and you taught me more in one video than my professor has taught me in two weeks. He didn’t even teach us about confidence intervals but put it in our homework. So i thank you so so much for this, but i still think i’m gonna fail my exam.

  • @orangeflip
    @orangeflip Před 5 lety +56

    Should have added more graphics to this episode. It's hard to follow along

  • @Muluhya85032
    @Muluhya85032 Před 5 lety +1

    Thank you so very much !!!! super awesome way of breaking confidence intervals in easy to understand way !!!

  • @PurpleBaconEater
    @PurpleBaconEater Před 4 lety +12

    glad I'm not the only one more confused after watching this video than before. stats its the only time where crash course has failed me.

    • @WasabiSniffer
      @WasabiSniffer Před 4 lety +1

      oh i dunno, crash course physics is pretty bad too. barely made it out of kinematics and they toss you into calculus

  • @Satyamsingh-do5ry
    @Satyamsingh-do5ry Před rokem +5

    i understood every lect in this series before this lect.When the t- dist started, it got too complex.

  • @briaryos1
    @briaryos1 Před 4 lety +26

    Confidence interval formula is : the mean, plus or minus (standard deviation / sqrt(sample size)) * the Z statistic.
    The Z statistic in this example 1.96 because of the desired 95% confidence interval. If it was exactly 2 then your confidence would be 95.45%. If it were 3 you'd have 99.73% confidence. So basically, the wider the range (or the greater your sample size), the great your confidence. The narrower your range (or the smaller your sample size), the less confidence you have in the accuracy of the mean.

  • @JohnSmith-nc9ep
    @JohnSmith-nc9ep Před 6 lety +2

    Keep it up! If I remember accurately there is not much left for this section of the course :D

  • @alexmrbvlogs
    @alexmrbvlogs Před 4 lety

    Thank you thank you thank you! This helps a lot!

  • @wafelsen
    @wafelsen Před 6 lety +2

    In a paper almost certainly prepared for a statistics class, someone found the mean length of 30 randomly selected top 100 songs from iTunes was 226.93 seconds. Seventy songs of that length will last you through a 4 hour 24 minute marathon.

  • @grumly85
    @grumly85 Před 6 lety +2

    I’d have to buy the whole music store to finish my marathon. Which consequently would make me sure to finish it. Nice trick!

    • @Tfin
      @Tfin Před 6 lety

      I've got every Grateful Dead studio album on my phone, so there's no way I'll be finishing a marathon.

  • @ishykiller6827
    @ishykiller6827 Před rokem +2

    The fact there is no examples that explain exactly how to find a confidence interval is a crash course is crazy. Just explaining terminology isn't enough SHOW US HOW.

  • @lamyasms4656
    @lamyasms4656 Před 5 lety +7

    when i listen to their intro my mind screams (HANK) lol

  • @gadobladegaming9188
    @gadobladegaming9188 Před rokem +3

    After watching this video I came to a conclusion........ WTF IS A CONFIDENCE INTERVAL???

  • @khioriobi5224
    @khioriobi5224 Před 5 lety +4

    "Imagine you're going to run a marathon. And you don't know how long it will take..." lol :D Yes, you do. :D

  • @gamereditor59ner22
    @gamereditor59ner22 Před 6 lety

    Good job!!!

  • @quinius173
    @quinius173 Před 6 lety +7

    Great video!

  • @Unace1
    @Unace1 Před 6 lety +2

    Congrats on 7.8m subs

  • @isaacliu896
    @isaacliu896 Před 5 lety

    Gawd this is so much better than my college prof was

  • @MaticGabor
    @MaticGabor Před 6 lety +28

    Had to look away from dentist scenes

  • @kelvin2736
    @kelvin2736 Před 4 lety

    Thank you crash crouse

  • @TalysAlankil
    @TalysAlankil Před 6 lety +7

    Ha, "buying" music…yeah…i totally do that…

  • @blahblahblahox9475
    @blahblahblahox9475 Před rokem +3

    I agree with everyone's complaints that they don't show the math - but does anyone know a good alternative that does show it step by step? Would love to know!

  • @SoundsLikeMaestro
    @SoundsLikeMaestro Před rokem

    Thanks Adriene :D

  • @badboogl8529
    @badboogl8529 Před 5 lety +1

    According to my confidence, the statistical quantification of my interval is more than 200% of 95 that I fail this final.

  • @dijonmoutard6647
    @dijonmoutard6647 Před 4 lety +2

    I'm pretty sure that, when you don't know the population standard deviation, then you should always use a t-distribution, even with a large sample size.

  • @m.w.kaplan447
    @m.w.kaplan447 Před 4 lety +1

    took me until just now to pinpoint the Intense Gina Linetti energy going on (and I only noticed because i started rewatching b99 to counteract the deep sadness stats is bringing me). more engaging than my college textbook though! also the number of people using the 95% c.i. in the comments but like, wrong.... concerned

  • @viguhan5299
    @viguhan5299 Před 4 lety

    Thaaat’s what she reminded me of!!! Lol does anyone else think she gives of Gina Linetti vibes? Great teacher. ^^

    • @WasabiSniffer
      @WasabiSniffer Před 4 lety

      lol a little bit. like Gina's calmer, saner older sister

  • @Heidilyn1
    @Heidilyn1 Před rokem

    I cannot get over your decor

  • @Blitz6804
    @Blitz6804 Před 5 lety +4

    Am I the only one upset about not seeing those gold pants?

  • @amaliejohannessen7547
    @amaliejohannessen7547 Před 4 lety +7

    The sound in the background that's there during the text "Our conficdence is in the fact that the procedure of calculating this confidence.." at 3:10 is REALLY annoying. Also it would be great with some formulas, I'm sure at least 80% of your audience are people studying for exams.

  • @liquidmodernitytasteslikeu2855

    the sound effects are really distracting :/

  • @waqqashanafi
    @waqqashanafi Před 4 lety +1

    I have 95% confidence I will pass or not pass tomorrow because my exam isn't tomorrow.

  • @girltalk08
    @girltalk08 Před 6 lety

    There should be a link in the description to the topic play list

  • @zenedan
    @zenedan Před 6 lety

    could you please explain the BLP model in the next video?... that would be very usefull for me..

  • @culedood123
    @culedood123 Před 6 lety +2

    One thing that's really confusing: given a sample and then calculating a 95% confidence interval for that sample, you cannot say that there is a 95% chance that the population mean is within that confidence interval. This is because every sample has other features besides mean and standard deviation that will determine how likely it is that the mean will fall within that confidence interval. If we just use the mean and standard deviation, the 95% confidence interval is the best guess we can make for where the mean will fall 95% of the time, and indeed for 95% of samples, the mean will fall within our confidence interval. However, if we have the most advanced statistical modelling tools known to man and other features of our sample besides the mean and standard deviation, we would know the exact probability that the population mean is within our confidence interval, which is likely not exactly 95%

    • @iAmTheSquidThing
      @iAmTheSquidThing Před 6 lety

      I have never found an explanation of this that isn't highly confusing and vehemently disputed.
      Any recommended resources that can help me make sense of it?

  • @sagunm9708
    @sagunm9708 Před 5 lety +2

    I was pretty confident with this topic but now I am so confused! She is going really fast and instead of showing all the dentistry stuff and some more unnecessary scenes, it would've been better if there were actual words and a graph on a part of the screen throughout that example, e.g., "mean number of cavities the avg person has in 5 yrs > 1. Calculate 95% confidence interval." or smth like that.

  • @yiyiyao7165
    @yiyiyao7165 Před 4 lety +1

    So is the only difference between T distribution and Z distribution that T distribution is used for smaller sampling sizes that are not quite normal?

  • @emmam5438
    @emmam5438 Před 4 lety +6

    first crash course topic I've ever watched that really isn't doing its job. I love crash course generally, but this is wayyyyyy to fast :(

  • @SocialNomad
    @SocialNomad Před 6 lety +4

    Well, now you have to wear gold pants next week...

  • @rparl
    @rparl Před 6 lety +1

    I'm 95% that there'll be more than 3 fillings needed,

  • @kylepasta
    @kylepasta Před 4 lety +2

    so confusing in words needs to show how the numbers actually work
    ie. math

  • @davidcampos1463
    @davidcampos1463 Před 6 lety

    The delivery guy will come by on the statistical 11ish. My impression is that computers will fight the indefinite by shooting the delivery guy, due to conservation of time and electricity.

  • @mainaccount4948
    @mainaccount4948 Před 6 lety +1

    Neat

  • @spmccarron
    @spmccarron Před 5 lety +1

    What the heck was that boom sound at 3:42?!

  • @alexandersullivan4313
    @alexandersullivan4313 Před 5 lety +1

    Did anyone else notice the sound at 3:42?

  • @lymanbrown-whitehill2884

    Gummy worms are ok, I guess, but you could talk about student's actual work on delicious beer.

  • @anirudhjain7030
    @anirudhjain7030 Před 5 lety

    I want to ask whether the 1 and 2 sigmas in normal distribution the same as confidence interval?

    • @InternationalBigshot
      @InternationalBigshot Před 4 lety

      I also think that makes sense but calculating the CI that way was never mentioned. I THINK it's because 2 sigma just represents 95% of all scores, whereas the CI is used to describe the MEAN (population mean) within a range.

  • @saifhope5726
    @saifhope5726 Před 6 lety +6

    So people who buy songs really exist , interesting.

  • @Duarte1298
    @Duarte1298 Před 5 lety

    4:20 what table??

  • @vasishtvemuri4181
    @vasishtvemuri4181 Před 4 lety

    If we're already saying that the mean of our sampling distribution will be approximately equal to the population mean, then why are we taking a 95% confidence interval to prove that the population mean will be within a particular range? except that we're trying to give an interval estimation......

  • @Ynhockey
    @Ynhockey Před 5 lety

    01:15 its center, not it's center

  • @WasabiSniffer
    @WasabiSniffer Před 4 lety

    she's a bit drier than hank or john but i'm definitely getting a better grasp on stat

  • @davidcampos1463
    @davidcampos1463 Před 6 lety

    I should have been more specific. It's the true believers in computers who will fight the indefinite to save time and or electricity, because that's where they came from in the first place.

  • @jamespurks1694
    @jamespurks1694 Před 6 lety +3

    But the p value will vary depending on whether you are using the .05 level (used here) or an .01 level which is more stringent.

    • @chelseaparlett8069
      @chelseaparlett8069 Před 6 lety +3

      the p-value does not change based on alpha level, but your cutoff would be different. 0.04 is considered "significant" if alpha = 0.05, but not if alpha = 0.01. However in both cases p = 0.04

    • @jamespurks1694
      @jamespurks1694 Před 6 lety +1

      Chelsea Parlett You are absolutely correct. Thank you very much for correcting my blunder. I must have been half asleep at the time.

  • @WMTeWu
    @WMTeWu Před 5 lety +3

    9:05 - Where did the 0.033 came from?

    • @ronaldjensen2948
      @ronaldjensen2948 Před 5 lety +3

      I think... We have 50 repeated Bernoulli trials with p=0.06 (given) so the standard error is sqrt(0.06(1-0.06)/50) = 0.033

  • @grassgrees6728
    @grassgrees6728 Před 6 lety

    Yay statistics :):):)

  • @transgalactic
    @transgalactic Před 8 měsíci

    Why times 1.96 around min 2?

  • @amorphant
    @amorphant Před 6 lety

    Confidence interval for appearance of gold pants?

  • @rkpetry
    @rkpetry Před 5 lety

    *_...is Student's T Distribution [_**_07:03_**_] the closest continuous function to the binomial, distribution (as in flipping a coin a small number of times), or how does it compare..._*

  • @agostinaromero1274
    @agostinaromero1274 Před 6 lety

    traducción al español por favorr

  • @RT-py5sh
    @RT-py5sh Před 5 lety +1

    "Confidence interval quantify our uncertainty. They also demonstrates the trade off of accuracy for precision " crash course

  • @lazarnedeljkovic5615
    @lazarnedeljkovic5615 Před 7 měsíci

    This lady looks and speaks like steve from gamers nexus' mom.

  • @samabplanalp2801
    @samabplanalp2801 Před 6 lety

    I’ve always thought that if a CI contained 0, it’s not significant? Am I wrong here?

    • @chelseaparlett8069
      @chelseaparlett8069 Před 6 lety +1

      CI's aren't usually considered "significant" or not, but if a CI contains 0, and your null is that the parameter or difference = 0, then yes, a CI containing 0 means that you'd also fail to reject the null.

    • @samabplanalp2801
      @samabplanalp2801 Před 6 lety

      Chelsea Parlett yes, I should have stated more clearly. The CI itself isn’t considered significant, but the accompanying p-value- when containing 0- will not be significant.

  • @rajakrishnan7662
    @rajakrishnan7662 Před 4 lety

    the accuracy and precision statement is swapped, it need revison

  • @nadiaabdullahi6704
    @nadiaabdullahi6704 Před 3 měsíci

    I guess i will be leaving cos of the comments😂

  • @ahmadfahadhilyas
    @ahmadfahadhilyas Před 6 lety

    If we calculated 5 CI and it turn out that all CI didn't contain true population, is it considered as bad luck? Lol
    But seriously is it possible? .-.

  • @Pfhorrest
    @Pfhorrest Před 6 lety +1

    Why would you buy new music just to load up a running playlist? Just put a suitably-long selection of your existing music on there.

    • @nataliemccarthy9140
      @nataliemccarthy9140 Před 6 lety

      Pfhorrest or you could just buy the 70 songs and put them on shuffle and repeat

  • @marthasolomon7997
    @marthasolomon7997 Před 6 lety

    Where was this when I was in 9th grade 😂🤔

  • @aleree201296
    @aleree201296 Před 5 lety

    Put the speed to .75 shes finally talking normal

    • @greensteve9307
      @greensteve9307 Před 5 lety

      Are you kidding? She sounds stoned at 0.75. x1.25 sounds normal to me.

  • @mielthebee
    @mielthebee Před rokem

    Did you ever end up getting your pants-

  • @solhsa
    @solhsa Před 6 lety

    So if you're really lucky, that chocolate bar contains infinite calories.

  • @SanguinaryStrife
    @SanguinaryStrife Před 4 lety

    What...!

  • @NaihanchinKempo
    @NaihanchinKempo Před 6 lety

    feel like i'm in a Casino with the stupid sound f/x

  • @rkpetry
    @rkpetry Před 6 lety +2

    *_...95% has been around for decades, so, why, 95%-I'd use Systems Theory to spec. returns, calculate the time-and-cost of processing a rate of returns, a probability of overrunning time-and-cost allotted, (got to stay in business)..._*

  • @Marc48ify
    @Marc48ify Před 5 lety +1

    I miss jhon and Hank :(

  • @danielrhouck
    @danielrhouck Před 6 lety +1

    The forms of colorblindness I'm aware of are all genetic. I don't think we have a simple medication that could work like the one described.

  • @malakmustafa5074
    @malakmustafa5074 Před 6 lety

    Last comment

  • @laurendivitto0641
    @laurendivitto0641 Před 6 lety

    Incase you didn’t know, crash course, the AP test was weeks ago.

    • @iamchristiancraig
      @iamchristiancraig Před 6 lety +2

      Lauren Divitto I look these videos now and like "nope, never gonna think of stats again😄" lol

  • @MrLifeEclipse
    @MrLifeEclipse Před 5 lety

    I just dumped my name and address

  • @jmaroof1433
    @jmaroof1433 Před rokem

    I usually like ur videos but this one lacked examples with real numbers and graphs. Hard to follow

  • @lilblaise181
    @lilblaise181 Před 5 lety

    Barf

  • @NobleWarning
    @NobleWarning Před 6 lety

    11th comment

  • @Katie-pz7hq
    @Katie-pz7hq Před 5 lety

    “It’s center”?!?!
    Please proofread your blurbs. I expected more from CrashCourse...

  • @farhanjamadar5418
    @farhanjamadar5418 Před 6 lety +3

    3rd comment

  • @LucaFanciullini
    @LucaFanciullini Před 4 lety +1

    This was explained so bad

  • @aceo1-dip
    @aceo1-dip Před 4 lety

    Not a good explanation

  • @roberte.6892
    @roberte.6892 Před 4 lety

    I'm sorry, but the crash course series just falls apart with mathematical subjects like statistics or physics. It's too fast, too abstract, too oral ... if you're not mathematically inclined you need to see someone do example problems over and over and then over again until you get it.

  • @zamanfahimimteaz3412
    @zamanfahimimteaz3412 Před 6 lety

    Hey Adrian don't record when you're sad, take a day off. You're clearly super sad.