Statistics 101: Two Populations, Matched Sample t-test

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  • เผยแพร่เมื่อ 1 ธ.ค. 2024

ความคิดเห็น • 80

  • @cococnk388
    @cococnk388 2 ปีที่แล้ว +3

    The conclusion you made at the end using the confidence interval......to reject/ fail to reject the H0 is so great.... it sharpens our thought process.
    Thanks Brandon...

  • @helenauscanga553
    @helenauscanga553 10 หลายเดือนก่อน +1

    Hello, Brandon. Thank you soooo much for these videos. I'm currently working on my master thesis and I had a huge lack of statistics knowledge. Yesterday I was feeling so anxious and desperate because I could not understand what to do with my data. Today, I feel so much better because these videos have helped me a lot, more than any statistics teacher. Thank you, thank you, thank you!!!

  • @DedoubleZ
    @DedoubleZ 7 ปีที่แล้ว +35

    I love how you always begin each video with an encouraging and reassuring message for us!!
    That's greatly appreciated and heartfelt, honestly.

  • @BrandonFoltz
    @BrandonFoltz  11 ปีที่แล้ว

    HI Nikita! This problem uses actual data from a real problem. We wouldn't create data from a random number generator. In this type of problem, each diet subject has two measurements, before and after; the data is a matched pair (same person). What we are analyzing is the mean difference between each pair.

  •  11 ปีที่แล้ว +5

    Hi, regarding the "Interval Estimate for Fight the Flab" slide, you say that the interval estimation is always two-sided, which is correct of course. Yet you are using the same 5% t-value (1.833) you used for the one-sided case. For a two-sided 95% confidence interval with 9 degrees of freedom, the t table reads 2.262 (the larger confidence interval does not contain zero either). Can you please clarify this?

  • @nawilliam2754
    @nawilliam2754 4 ปีที่แล้ว +1

    Your Series are so great and time tested. Thanks

  • @waccypho3790
    @waccypho3790 4 หลายเดือนก่อน

    Thank you SO MUCH for such logical explanations! Was struggling with CPA course, but your videos clarify so much! Thank you!

  • @Lexing187
    @Lexing187 9 ปีที่แล้ว +1

    I have watched all of your videos. You sir, are amazing.

  • @vipingarg1349
    @vipingarg1349 6 ปีที่แล้ว

    Thanks, clears the long standing "errors on self confidence" on this subject!

  • @melikaallami9876
    @melikaallami9876 8 ปีที่แล้ว +1

    I went through all of your presentation. It was amazing, and great! Big Thank you!

  • @prabhudaskamath1353
    @prabhudaskamath1353 4 ปีที่แล้ว +1

    Wonderfully explained. Thank you Brandon..

  • @hoplite9908
    @hoplite9908 11 ปีที่แล้ว +7

    Brandon - thank you for your videos they are excellent. I've been through statistics before but still some concepts I forget and these make it very easy to revise them.
    Like Joao below, I was very confused about the 95%CI calculation and couldn't understand why tcrit was the same for the one-tailed H0 test and the CI calculation which is 2 tailed. Unless I have failed to understand some point here, the tcrit for the 95%CI needs to be +/- 2.262. This works out as an interval of -48.44 to -5.96 pounds.
    Thanks for doing these videos. Will you be doing ones on the tests of significance of correlation and ones on non-linear regression also?

    • @BrandonFoltz
      @BrandonFoltz  11 ปีที่แล้ว +4

      Hey Hop. I screwed it up, you are correct. Sometimes I try to go to fast, reuse slides to save time, and this happens. I will annotate and redo the video as soon as I can. My apologies.

    • @BrandonFoltz
      @BrandonFoltz  11 ปีที่แล้ว +2

      Annotated.

  • @bengodw
    @bengodw 10 ปีที่แล้ว +4

    Hi Brandon,
    Thanks for the video. I want to know why CI cannot be one-tailed, to follow suit the hypothesis tests?
    If CI is one-tailed, we can keep using -27.7 - 17.21 [from t-Critical Value = -1.833]
    Then we can ignore the range from Upper bound (-10.48 lbs) to the Sample Mean (-27.7 lbs).
    We only need to see the range between Sample Mean (-27.7 lbs) and the Lower bound (-44.91 lbs).
    Pls advise.

    • @vedangagarwal8280
      @vedangagarwal8280 3 ปีที่แล้ว

      even i have the same doubt, why is the 95% CI using two tailed method instead of one

  • @HARSHSINGH-jv8pi
    @HARSHSINGH-jv8pi 4 ปีที่แล้ว +1

    Mean of difference in alternate hypothesis should be positive because if there is weight loss then before-final will be positive

  • @priyankjain9970
    @priyankjain9970 6 ปีที่แล้ว

    Again another masterpiece. Don't understand why these 9 guys didn't like the explanation.

  • @wendyhedeen7928
    @wendyhedeen7928 8 ปีที่แล้ว +1

    I have to thank you for your videos. They have helped me a great deal.

  • @maridesnaval
    @maridesnaval 8 ปีที่แล้ว

    Easy to follow! Very educational.

  • @elenapopova4569
    @elenapopova4569 2 ปีที่แล้ว

    Nice tutorial, thank you very much! Can anyone tell me if we would always reject H0 if the confidence interval doesn't contain 0?

  • @yogeshpagadala3225
    @yogeshpagadala3225 6 ปีที่แล้ว

    Thanks a lot , these videos are very good and improves confidence to learn more

  • @koltankreamer1801
    @koltankreamer1801 3 ปีที่แล้ว

    Hi, is there a reason why the formula you indicate at about 10:52 for difference is "before minus after", but the formula you then use is "after minus before"? I ask because "after minus before" makes more sense to me (what was the net change), but my textbook uses "before minus after".
    Both should work for testing a hypothesis, but if an online test asks a partial question (what is "d" or the sample mean of "d"), they might be looking for one or the other.

  • @qiangfu5089
    @qiangfu5089 8 ปีที่แล้ว +4

    marin of error uses t(a/2) or t(a)? 19:40 uses t(a/2). the next slide use ta

    • @vaishakmuralidharan7605
      @vaishakmuralidharan7605 3 ปีที่แล้ว

      Well, it says in brackets that it's [t(a/2)] for two tailed tests

  • @arturssvarinsky9904
    @arturssvarinsky9904 ปีที่แล้ว

    Hi, Brandon. Many thanks for a great work you have done. Statistics always attracted me somehow, but I never really understood all of the concepts to the extend I wanted to before I found your video-course. I am watching really carefully all of the series and I have one question regarding this particular video. Is that right that actually there are two different, but equally correct approaches how to do hypothesis test. a) find t(critical), find t(test) and see if t (test) is below or above t(critical) b) find CI for test data and see if hypothesized value falls in or out. I got a bit confused because it seems you you used both approaches in this video.

  • @rrmm122
    @rrmm122 7 ปีที่แล้ว

    Why can't we compute the Variance of sample of differences = Var (w_b)/10 + Var (w_a)/10? This will be similar to how we calculated variances of the sampling distribution in earlier two population videos.

  • @lowqchannel
    @lowqchannel 3 ปีที่แล้ว

    for the interval estimate shouldnt the confidence interval be 2.2622 since its two tail

  • @dimar4150
    @dimar4150 6 ปีที่แล้ว

    These are literally god sent

  • @SunSan1989
    @SunSan1989 11 หลายเดือนก่อน

    Dear Brandon Foltz, I'm a bit confused about why the difference between means in a two-sample test follows a normal distribution. could U help me answer this question?

  • @ArijitBiswasdotcom
    @ArijitBiswasdotcom 6 ปีที่แล้ว +1

    Heyy I think there's some confusion. Ha says the weights are decreasing. We're measuring Wb - Wa. If weights are decreasing, then Wb - Wa will be positive. And hence, the alternative hypothesis should say that the mean of differences should be greater than 0.
    Or if the alternative hypothesis is to remain the same i.e. the mean of the differences is lesser than 0, then we should measure Wa - Wb. Then the differences will be negative and so will the mean. Doesn't that make sense? I could be totally wrong here, kindly correct me if you think so.

    • @MrGotro1
      @MrGotro1 3 ปีที่แล้ว +1

      you're absolutely correct. I noticed that too. Either he would be using 'Before minus After' and get a null hypothesis of weight loss and a mean less than zero, or he could use the mean less than zero, except it would be After minus Before, not Before minus After.

  • @nicktohzyu
    @nicktohzyu 5 ปีที่แล้ว

    at 30:00 what do the variances mean? Since we are doing a matched pair test do they matter?

  • @JHAnnand
    @JHAnnand 10 ปีที่แล้ว +1

    I love these videos. Do you have the "indexed" somewhere with links to each one?

  • @lilithasotondoshe8226
    @lilithasotondoshe8226 5 ปีที่แล้ว

    you are the best thank you for your lectures

  • @jpgraba3661
    @jpgraba3661 9 ปีที่แล้ว

    Have you ever considered showing how this paired t-test via SPSS?

  • @denniswest4132
    @denniswest4132 6 ปีที่แล้ว

    -1.833 should be OK since it is a one-tailed test. In a one-tailed test we don’t divide the .05 by 2.

  • @asusm50sv82
    @asusm50sv82 10 ปีที่แล้ว

    hi brandon. In the example you are using, you assumed d bar follows a student's t-distribution with n=10. Is it because of central limit theorem? CLT states if n is large enough, sample mean of any variable follows a normal distribution, regardless the distribution of original variable. Here d bar is the sample mean of difference in weight with n = 10. Since n is small, we can assume d bar follows a student's t. Am I right on this one? Without CLT, we cannot tell the distribution of d bar. Please comment. Thanks!

  • @drnvz
    @drnvz 11 ปีที่แล้ว

    Sorry the Cohen's d was -1.42 not 1.42. What is the range of values for Cohen's d? Is - wrong or simply telling me one value (i.e., mean is larger than the other?).
    Thanks so much Brandon, Tasch.

  • @MonkeyDLuffy-xr4fl
    @MonkeyDLuffy-xr4fl 8 ปีที่แล้ว +17

    No, the only reason I'm watching this is because my lecturer sucks big time

  • @SuperstarPecanbar
    @SuperstarPecanbar 9 ปีที่แล้ว

    Technically, wouldn't it appear that we can't disprove that the diet doesn't work? Or am i taking things too far? Thank you for the very helpful videos!

  • @nikitaagarwal5320
    @nikitaagarwal5320 11 ปีที่แล้ว

    Hi Brandon! Thank you so much for these videos. Great work!
    I had a question, do we need to calculate sample means using random number generators for each problem of this kind?
    I see you've followed the same example in this playlist, and we use the values of x/bar/1 and x/bar/2 as calculated in this video, for all the ten samples for each population.

  • @hsshah2000
    @hsshah2000 8 ปีที่แล้ว

    Excellent video

  • @jacobm7026
    @jacobm7026 5 ปีที่แล้ว

    Hi, Brandon, awesome video! Quick question that'll likely have a not so quick answer. Would you say analyzing longitudinal data is basically a multivariate version of Matched sample t tests? Also, do you have any videos or know of any good videos that cover longitudinal data in depth?? Thanks!

  • @SabyasachiGoswami09
    @SabyasachiGoswami09 7 ปีที่แล้ว

    Can I do a Two Populations, Matched Sample z-test, basically I not on sample but on the entire population? if yes, how?

  • @robertbrady2799
    @robertbrady2799 3 ปีที่แล้ว

    This is great - I get it - thank you for making these great videos...

  • @somcana
    @somcana 6 ปีที่แล้ว

    Can you report your t statistics in p value format. lets say it was p value > or < alpha value?

    • @somcana
      @somcana 6 ปีที่แล้ว

      or converting my p value into t statistics versa versa

  • @drnvz
    @drnvz 11 ปีที่แล้ว

    Hello Brandon. I have calculated a "-" value for my t-statistic. Is this then telling me that the important area is to the left of the mean? I checked the Cohen's d and got 1.42 (is this possible because I was of the understanding that values ranged from 0-1). Thanks Brandon. Tasch.

  • @nebj1014
    @nebj1014 9 ปีที่แล้ว

    Earlier in the video you said we were using lower tail and we used the 1 tail value from the t-table, now that you are showing the interval estimate you are saying that it will be two tailed, next to the margin of error formula, so which is it please?

    • @BrandonFoltz
      @BrandonFoltz  9 ปีที่แล้ว

      Nia Mukasa Hello! It's both. The one tail is for the null hypothesis test that the observed difference is greater than or equal to zero, which is the yellow dot. The confidence interval is the area extending left to right *from that dot.* That interval does not contain zero which reaffirms our conclusion in the hypothesis test. So both work in tandem.

    • @nebj1014
      @nebj1014 9 ปีที่แล้ว

      ahh!! ok, thanks! Oh and I'm having trouble finding the video that shows how to use excel to find the values, which video is it please?

  • @bienvenuesigbesia4573
    @bienvenuesigbesia4573 6 ปีที่แล้ว

    thankyou Brandon .your video helps to understand everything i don't understand in statistics.i wanted to ask you about the degree of freedom of two tests,here yours is not the same i used to see in the books.df=n1+n2-2.can you explain me why

  • @kasianowak1389
    @kasianowak1389 6 ปีที่แล้ว

    Hi Brandon, I really like your channel. Thanks for sharing it with us. I am looking for any resources which summarize everything all together (roadmap in statistics) and help to understand briefly which hypothesis test choose and when. Would you be able to suggest any good valuable resources?

  • @yssun7679
    @yssun7679 10 ปีที่แล้ว

    Hi, Brandon. Thank you for your videos first, I've watched almost all of them. I am a little confused about the method to test the hypothesis. When should I set up a confidence interval and when should I compare t-test and t-critical?Thank you very much.

  • @IceyJunior
    @IceyJunior 8 ปีที่แล้ว +1

    shouldn't this be 1 population 2 dependent samples t-test?

  • @boody7665
    @boody7665 5 ปีที่แล้ว

    I have an exam after a few hours, really I don't know how to thank you.

  • @ylazerson
    @ylazerson 6 ปีที่แล้ว

    Awesome video!

  • @taegire
    @taegire 10 ปีที่แล้ว

    Dang.. I really needed you to a step by step of Sd, that's what I am stuck on

  • @rezat.ashtiani1338
    @rezat.ashtiani1338 5 ปีที่แล้ว

    Just excellent

  • @phumezagubuza2764
    @phumezagubuza2764 10 ปีที่แล้ว

    This is great!!! Thanks a lot

  • @juliavreugdenhil8050
    @juliavreugdenhil8050 5 ปีที่แล้ว

    Really great video! Thankyou so much :).

  • @elvyscruz
    @elvyscruz 5 ปีที่แล้ว

    Pure gold..

  • @BrittanyHoward1
    @BrittanyHoward1 7 ปีที่แล้ว

    Are there any videos that differentiate when an ANOVA (and each variation), t test (and variations), and other tests should be used over the alternative options together rather than each one separate? These are super helpful, but just curious :)

    • @BrandonFoltz
      @BrandonFoltz  7 ปีที่แล้ว

      Hello! Not sure what you mean here. But a one-way ANOVA would be used then there are three or more groups (means) you wish to compare. Pairwise t-tests compound error and should not be used. Hope that helps.

    • @BrittanyHoward1
      @BrittanyHoward1 7 ปีที่แล้ว +1

      ***** I guess what I am asking is this: my teacher gives us a data set in spss and basically just asks, you want to compare variable a with variable b, what test would you use? Knowing what each test measures is great, but how do you decide to use a t test over an anova? Then when looking at each type of t test or anova variations, what do you look at in spss to help decide?

    • @BrandonFoltz
      @BrandonFoltz  7 ปีที่แล้ว

      Two variables use the t test. More than two ANOVA.

    • @BrittanyHoward1
      @BrittanyHoward1 7 ปีที่แล้ว

      ***** I was obviously over thinking it lol thank you! I shared your videos with my class :) they love them

    • @BrandonFoltz
      @BrandonFoltz  7 ปีที่แล้ว +1

      Awesome thank you! You all can do it. Just keep working at it.

  • @chenwei7
    @chenwei7 5 ปีที่แล้ว

    master piece!

  • @nadeemashraf1566
    @nadeemashraf1566 6 ปีที่แล้ว

    Sor I'm really impressed by you , thanks alot

  • @joanlin8563
    @joanlin8563 6 ปีที่แล้ว

    You really saved my life!!!!!!! Thank you for all of your awesome videos!!!

  • @MyMy-tv7fd
    @MyMy-tv7fd 2 ปีที่แล้ว

    good vid

  • @danielpotter683
    @danielpotter683 6 ปีที่แล้ว

    Thank you

  • @soodisin
    @soodisin 9 ปีที่แล้ว

    Got confused, What is a test statistics. Isn't test statistics = margin of error?.

    • @MrSazid1
      @MrSazid1 8 ปีที่แล้ว +1

      +Amit Sood a test statistic(like a zscore) , its like taking a value(sample) and see where it falls in the normal(hypothosized) distribution. if its t/z/f value falls in alpha region than we dismis null, coz this value is so rare under normal distribution. our assumption must be wrong. hope it helps

  • @codea2459
    @codea2459 5 ปีที่แล้ว

    Your lecture is very precious to code statistics program for myself.
    I found this problem is about One-tailed(Lower).
    so confidence interval -44.91 to -10.48 pounds is impossible
    How about below 49.1112? the weight difference above 0 is true, but above 49 is statistically untrue.

  • @jorgemercent2995
    @jorgemercent2995 4 ปีที่แล้ว

    Very very confused as to difference between Matched Sample t-test and 2 population t-test.

  • @DaFireElf
    @DaFireElf 6 ปีที่แล้ว

    stats KING

  • @Luutzen007
    @Luutzen007 3 ปีที่แล้ว

    There's only one population, the difference, that's why the formula's are the same as 1 sample. BAMM! :D::DD ;D