Matched or Paired Samples T-Test - Hypothesis Testing

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  • Опубліковано 17 жов 2024

КОМЕНТАРІ • 170

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +1

    Next Video: ua-cam.com/video/HKDqlYSLt68/v-deo.html
    Final Exams and Video Playlists: www.video-tutor.net/

    • @shuvashishsharma1299
      @shuvashishsharma1299 Рік тому

      @TheOrganicChemistryTutor shouldn’t we use t(alpha/2) to find critical value for C.I?

    • @riky2107
      @riky2107 3 місяці тому

      for confidence interval shouldn't we use the two-tail t-score, in this case "2.26" 9df?

    • @riky2107
      @riky2107 3 місяці тому

      @@shuvashishsharma1299 I was thinking the same

    • @RawanAhmed-n9t
      @RawanAhmed-n9t 24 дні тому

      ​@@riky2107 should we use (9 and .025) or (9, 0.05), i get confused which value is correct, do we use alaph or alpha/2 in one_tailed test

  • @maryamalhamdan1510
    @maryamalhamdan1510 3 роки тому +131

    The organic chem tutor honestly deserves a Nobel prize for his endless number of lessons ... this society needs to appreciate teachers more than artists and entertainers

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      @enruiwang1537 2 роки тому

      彳亍

    • @alexb1312
      @alexb1312 2 роки тому

      ur making teaching out to be way harder than it actually is

    • @maryamalhamdan1510
      @maryamalhamdan1510 2 роки тому

      @@alexb1312 well bad math teachers have caused generation hate math for ever

    • @ali_engin33r
      @ali_engin33r 9 місяців тому

      he may not have a nobel but having millions sure helps too

  • @tomatrix7525
    @tomatrix7525 4 роки тому +263

    I’m not joking when I say this man teaches me chem, ochem, physics, maths in general, calculus, physics

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      @liamstevenson5350 3 роки тому +3

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    • @trevormasuku9606
      @trevormasuku9606 3 роки тому

      Thank you so much.You are talented .a good teacher.Its Annie in Zimbabwe.most lectures are failing

    • @sabrinasaad8381
      @sabrinasaad8381 2 роки тому +1

      He is your saviour haha

    • @AbhishekVerma-kj9hd
      @AbhishekVerma-kj9hd Рік тому

      Very nice explanation sir love from India

    • @tashinesempire6129
      @tashinesempire6129 10 місяців тому

      I was literally just thinking of the same thing

  • @laaori
    @laaori 4 роки тому +105

    Just in time! You have gotten me through Chemistry, Physics, Calculus and now Stats. I’ve gotten really good grades in those past classes and I’d like to give you some credit. When I’m not a broke student I promise you I will remember the help you gave me, Mr Wahlberg.

    • @mmdg1917
      @mmdg1917 3 роки тому +3

      is he the actor Mark Wahlberg??

    • @thangtran145
      @thangtran145 3 роки тому +8

      @@mmdg1917 yess, he is. He is mark walhberg.

    • @DanishJaved
      @DanishJaved 10 місяців тому +1

      are you doing good financially now / graduated?

    • @DanishJaved
      @DanishJaved 10 місяців тому +2

      been 4 years thought I'd ask lol

  • @RomeoJ1996
    @RomeoJ1996 2 роки тому +9

    Entering this week of stats we’re covering hypothesis testing in MATH302, without even reviewing the material this week you just taught me exactly all I needed to know to solve paired samples

  • @Alchemist10241
    @Alchemist10241 Рік тому +1

    I've added videos of this channel to my review list and I review them once in a while but every time I learn some new points. 👍

  • @colleen1396
    @colleen1396 3 роки тому +11

    Thank you so much for making this video! I wasn't able to attend my online class due to internet problems so I was really having hard time coping up with the activities. But this video helped me so much! Love from the Philippines! ❤️

  • @tinkamugishavianney1784
    @tinkamugishavianney1784 2 роки тому +1

    Its amazing how i sleep and dodge lectures keeping in mind organic chemistry has got my back.....God bless you your a hero to many

  • @Chikulamayembe57
    @Chikulamayembe57 2 роки тому +15

    Brilliant presentation. I have learnt a lot from your videos Sir. On confidence interval construction, were you not supposed to use t_(9; 0.025)=2.262?

  • @stephaniemoura9325
    @stephaniemoura9325 Рік тому +1

    This was soo hard to find! Exactly what I’ve been looking for! One sample for comparing the effectiveness of two variables!

  • @dendeibrahimadekanmbi8022
    @dendeibrahimadekanmbi8022 4 роки тому +10

    I thank you for these works you have been doing and also for sharing your knowledge. Some of your videos clearly explain what many textbooks can not do. Please, are you hoping to deal with topics such as: factor analysis and principal component analysis? Many
    Thanks

  • @choolwe5564
    @choolwe5564 4 місяці тому +1

    Bro taught me math in high school now he’s teaching my stats in university he never fails

  • @amudh
    @amudh 2 роки тому

    I am repeating what others have said here. This is exceptionally done!

  • @isaacwachira8803
    @isaacwachira8803 3 роки тому +7

    Shouldn't the null hypothesis be that the mean difference equals to zero?

  • @Cat-it7sl
    @Cat-it7sl 3 роки тому +2

    oh my god you're a lifesaver, i was so lost on all of this but i actually get it now. THANK YOU

  • @kingrey405
    @kingrey405 2 роки тому

    This man is a science-maths teacher. Any field he is very good 👍🏾

  • @andrewwashere
    @andrewwashere 3 роки тому +4

    Thank you so much! I’m a psychology student and this helps a lot

    • @jorrpatel238
      @jorrpatel238 Рік тому

      Me too, let's connect? What's your Instagram?

  • @lemmarie4091
    @lemmarie4091 2 роки тому

    Thankyousomuch. I won't be able to answer my stats activities without your helpful tutorials. Godbless💙

  • @KhaleesiZA
    @KhaleesiZA 4 місяці тому

    YOU HELPED ME, SOOO MUCH FOR MY ASSIGNMENT WHICH I HAD NO UNDERTSANDING AND I LOVE YOU FOR THIS VIDEO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CAUse my lecturer was not explaining properly, the way you just did. so THANK YOU!!!!

  • @thibodeauxchris4171
    @thibodeauxchris4171 3 роки тому +4

    I am sure you get these comments a lot judging by the ones on this video, but you are educating a generation of STEM students. Your videos have gotten me through all of calc-calc 3, statistics, and DE. I owe you more than you will ever know. Your videos have allowed an old fart like me to return to school and change the lives of myself and my family. I hope you sleep well at night knowing that you have made a lasting impact on the entire world through your videos.

    • @thibodeauxchris4171
      @thibodeauxchris4171 3 роки тому +1

      Forgot to add in linear algebra! I'd be toast without your hands-on videos.

  • @rafaella5
    @rafaella5 3 роки тому +9

    Hello! Please I hope someone answer I really need help. How do I know if it should be before-after or after-before?

    • @ethanbennink7680
      @ethanbennink7680 3 роки тому

      it works either way, just make sure that the tail is facing in the corresponding direction.

  • @RamonTogonon-ec1ey
    @RamonTogonon-ec1ey Рік тому

    God would certainly bless you with good health for your great job in educating a vast generation of academicians.

  • @adityendrapratapsingh7999
    @adityendrapratapsingh7999 4 роки тому +18

    When calculating 95% confidence interval, shouldn't you use t-value for 0.025, df=9( t table at 08:14). You used the t-value for 0.05 which will make it 90% confidence interval (10:53).

    • @surihapsari6595
      @surihapsari6595 4 роки тому +2

      Remember, it's a one-tailed test! :-)

    • @itsrishika7022
      @itsrishika7022 3 роки тому +2

      yea I had the same concern

    • @angeleatitia1664
      @angeleatitia1664 3 роки тому +11

      @@surihapsari6595 CI is always 2-tailed

    • @flameon8185
      @flameon8185 3 роки тому +13

      t value must be 2.262 right?

    • @chrisnedelchew
      @chrisnedelchew 2 роки тому +1

      You are right, CI is always 2-tailed. He just made a mistake.

  • @ashutoshsingh7529
    @ashutoshsingh7529 2 роки тому +1

    Give this man a medal!

  • @khaishir1968
    @khaishir1968 4 роки тому +3

    thank you so much for this i can use this now in my dissertation to calculate stuff !!Thanks a lot

  • @cosmokramer7708
    @cosmokramer7708 2 роки тому +3

    I don't think we ever say there is sufficient evidence to support the alternative....we simply say we fail to reject the null. They are two different things and quite serious

  • @anthonyliu2264
    @anthonyliu2264 4 роки тому +4

    Appreciate your time to go over paired T test. Can you go over on SPSS because that is what my college is using instead of excel

  • @harrybarden6053
    @harrybarden6053 3 роки тому

    got on the wrong bus, on my way to uni and watching your videos before class.
    love your work

  • @signedturnip6442
    @signedturnip6442 3 роки тому +2

    Shouldn't we use n-1 to do the standard deviation since we're talking about samples? or are the differences not considered samples in these cases?

  • @Richard-kz1ee
    @Richard-kz1ee 3 роки тому

    My best online prof. Heart you Sir

  • @jenkomatic
    @jenkomatic Рік тому +1

    Thank you for your video, it's really helpful! Do you know if the difference in mean values can also be used to quantify the effect size? Is there a separate test you could on the mean difference to quantify an effect size?

  • @hallaallam7091
    @hallaallam7091 3 роки тому

    Thanks you saved my statistic exam

  • @fredessafigueroa1666
    @fredessafigueroa1666 Рік тому

    Wow!! Super easy to follow, awesome tutorial.

  • @Strikerfm1
    @Strikerfm1 4 місяці тому

    I did this on my own before watching the video. What I did was get the avg weight of before the program, the avg weight of after the program, and the SD from the after the weight loss program. I then used the formula and still ended up rejecting the null hypothesis. Was this approach correct? here is the data . AVG before (206.5) AVG after (193.4) SD 18.1945. I got a calcutalted t value of -2.277 which is way past the -1.833 .

  • @peruskins96
    @peruskins96 4 роки тому +1

    When do you take the absolute value of T and critical values?

  • @mufarachisi4236
    @mufarachisi4236 4 місяці тому

    You're the best Mat God bless you

  • @MohamedAmr-s6n
    @MohamedAmr-s6n Рік тому

    On calculating the Confidence interval, why did you get the t critical at alpha not alpha/2?

  • @Vintagetube310
    @Vintagetube310 3 роки тому +2

    You’re the best, man!

  • @meenukrishna7684
    @meenukrishna7684 4 роки тому

    Exceptionally good....very clear and simple presentation

  • @riky2107
    @riky2107 3 місяці тому

    for confidence interval shouldn't we use the two-tail t-score, in this case "2.26" 9df?

  • @CamiloSanchez1979
    @CamiloSanchez1979 10 місяців тому

    Why am I getting -21.173, -5.03 on my calculation for the confidence interval when I use the equation given by professor?

  • @analuciaaraujoraurau197
    @analuciaaraujoraurau197 2 роки тому +1

    Hey guys! In first place, thank you so much for the video. One question: Is it possible to use another parameter than the population mean in the hypothesis? Let's say I want to measure if the sample mean of a sports team's height is greater than a certain limit. This limit is not the population mean, but just a value established by rules. Could I run the t test?

  • @esthermuseba4278
    @esthermuseba4278 4 роки тому +1

    Many thanks for simplifying this topic.

  • @nanjuldopsal260
    @nanjuldopsal260 3 роки тому

    Many thanks for breaking this down.

  • @hyerijeong9332
    @hyerijeong9332 Рік тому +3

    Shouldn't we use .025 instead of .05 for t when we do the confidence interval?

    • @leahhall7504
      @leahhall7504 Рік тому

      No, I don't think so. I also am working on stats atm and struggled with that question. From what I have found, even when you construct a confidence interval for two-tailed tests, you still use the critical t value that corresponds to the given alpha. I think you divide alpha by two when you are finding the p-value of a two-tailed test.

    • @darknessdash1853
      @darknessdash1853 Рік тому +1

      the example is a one tail t test, so you dont divide alpha by 2, you can understand that from the null hypothesis, since it uses greater than or smaller than < > it should be one sided.

    • @noahchoi1213
      @noahchoi1213 Рік тому

      if it was a two-tail test you would use .025 on each tail, but since its left-tailed its just .05 on the one side.

  • @dizzyboy92
    @dizzyboy92 2 роки тому

    Excelent video. Just commenting to boost it.

  • @joserobertopacheco298
    @joserobertopacheco298 3 роки тому

    Very Good explanation.

  • @zarazafar4886
    @zarazafar4886 3 роки тому +1

    Is it always after - before?

  • @itzboyon6983
    @itzboyon6983 3 роки тому

    This teacher is not a human, trust me! He is a God, a life-saving God! 😢😢😢

  • @Ventixo
    @Ventixo Рік тому

    I dont understand why for the weight loss, the null hypothesis isn't mewd is less than 0. Isnt the status quo that the weight loss program IS effective??

  • @Sawdust6666
    @Sawdust6666 3 місяці тому

    Thank you so much you are superb at what you do.

  • @yajatchoksi2652
    @yajatchoksi2652 11 місяців тому

    how do we/you know that the grap is left or right-sided and how to know that the grap is one tail or two tail

  • @joanchong6622
    @joanchong6622 4 місяці тому

    hi, may I ask if the sample size data of before and after is not the same, how can I solve this?

  • @Beingzuuu
    @Beingzuuu 7 місяців тому

    what if the n is more than thirty, do we still use this formula and just replace the t with z?

  • @commonwang1457
    @commonwang1457 3 роки тому

    I have a question. what conditions we need to confirm in order to constract confidence interval?

  • @ghaniyd6292
    @ghaniyd6292 4 місяці тому

    Hi, do you know the source book/journal for paired t-test?

  • @izuhnapoleon7860
    @izuhnapoleon7860 2 місяці тому

    You're a life saver! ❤

  • @ratnanirupama
    @ratnanirupama 2 роки тому

    Isnt the t value formula meant for an unpaired t test?? this video is on paired t test right

  • @ermutanda3802
    @ermutanda3802 8 місяців тому

    I know this is super late but why did he use the t values for 1-a and not 1-a/2 when computing the confidence interval? The way he did it he found it for a 90% confidence level no for a 95% confidence level like requested

  • @nansubugaangella9934
    @nansubugaangella9934 10 місяців тому

    ❤thank you, you actually save lives

  • @turnabuse7035
    @turnabuse7035 4 роки тому +1

    Thank you so much. I found question type, which i look for, eventually.

  • @samueldarenskiy6893
    @samueldarenskiy6893 Рік тому

    shouldnt we have t alpha/2 since we are dealing with confidence intervals? So, ~2.26

  • @D4rkVenge
    @D4rkVenge 3 роки тому +1

    Hey there, hopefully you see this. It's ok if you don't, I LOVE your videos, thank you so much.
    I was on the part when you find the Standard Deviation of the Mean of the Differences. and I found my Standard Deviation a different way; I used Sum of Squares to find the Standard Deviation - S (Standard Deviation of the Mean) = √Σ(x-Mean of Differences)^2 / N-1 (Degrees of Freedom). When I found the Standard Deviation with the variance formula, instead of your Standard Deviation, 13.025, I instead calculated 12.76. Do you also get that SD when you calculate the SD of the Mean with the Variance Formula?

  • @Brian_LeFevre
    @Brian_LeFevre 2 роки тому

    You’re a legend

  • @michelleacab6024
    @michelleacab6024 3 роки тому

    Hello. It is possible to use paired t-test if I get the mean scores of before and after, not its total scores?

  • @theodoresweger4948
    @theodoresweger4948 2 роки тому

    Just because I have nothing better to do I used my HP35s for a trend line and I got a r factor of +.914 which means it has a decent probability, and the m factor was .624 and b factor was 64.4 giving a formula final weight equals aprox .624*initial weight+64.4 comes close have fun...Not responsible for minor errors this is statistics!!!!

  • @peace58489
    @peace58489 4 роки тому +1

    Im confused. I thought when the Statistic > critical value you reject the Null Hypothesis but you did the opposite. Please explain why because i thought this rule was consistent throughout statistics.

    • @woodchuk1
      @woodchuk1 4 роки тому

      joseph smith In this case, the alternate hypothesis is directional, meaning that the test is one-tailed. It happens to be left-tailed because the alternate hypothesis involves a mean difference less than zero. Since it’s left tailed, the critical value is negative. The rejection region is always to the more slender side of the curve; therefore, if the critical value boundary is negative (on the left side of the curve), the rejection region is farther to the left of the critical value boundary, that is, where the curve is skinnier. This amounts to saying that the null is rejected if the test statistic is more negative than the critical value (which is itself negative in this case).

    • @sheilafajardo240
      @sheilafajardo240 4 роки тому

      no it depends on the test used

  • @nageenajamrozbspsychologys7223
    @nageenajamrozbspsychologys7223 4 роки тому +1

    this was helpful thanks sir

  • @arlenemaesalera949
    @arlenemaesalera949 3 роки тому

    is it a general rule to subtract after to before (after - before)??? really need the help.

    • @philipcho231
      @philipcho231 3 роки тому

      No. But in this case they wanted weight reduction so before-after would be easier to explain

  • @malkim201
    @malkim201 Рік тому

    Very valuable thank you so much

  • @minjinseo3681
    @minjinseo3681 Рік тому

    Wait, you said in 3:02 that mu_d is the sample mean difference. How come that you said mu_d is a population mean difference this time at 8:50? I'm a bit confused.

    • @minjinseo3681
      @minjinseo3681 Рік тому

      Also, is this problem a one or two-tailed paired t-test?

  • @zacharyh8253
    @zacharyh8253 Рік тому

    Why is it -3.18 for Tc instead of -0.318 ? Rounding?

  • @theodoresweger4948
    @theodoresweger4948 Рік тому

    Very well done thanks.

  • @bertram1724
    @bertram1724 3 роки тому +1

    how do I get the P-value from this?

  • @AN-ts4rf
    @AN-ts4rf 4 роки тому +2

    Man, thank you one more time!! for the second year in a row your saving my ass!!

  • @faisalsadiq7698
    @faisalsadiq7698 Рік тому

    Thank you so much....God bless you

  • @wubesemagn2021
    @wubesemagn2021 3 роки тому

    Thank you, It really is helpful.

  • @tjpradeep2003
    @tjpradeep2003 2 роки тому

    Bro how to choose one tail or two tail for sample distribution

  • @KamranKhan-pm9sj
    @KamranKhan-pm9sj Рік тому

    Sometimes we do (after - before) and sometimes (before - after) ... what tge reason?

  • @marlanarsi2590
    @marlanarsi2590 Рік тому

    Qusetion ? Ha : is greater than 0 because before was heavy large number minus after smaller weight gives numbers above zero

  • @surihapsari6595
    @surihapsari6595 4 роки тому +1

    Can anyone tell me why my upper and lower values of 95% CI of the difference in SPSS are different to those in the video (-22.418 & -3.782)? All other numbers are the same, the mean, std. deviation, std. error mean, calculated t-value, and df.

    • @surihapsari6595
      @surihapsari6595 4 роки тому

      Using the CI formula in this video ua-cam.com/video/TMRBGFIj0RM/v-deo.html gives me the same values as SPSS.

    • @itsrishika7022
      @itsrishika7022 3 роки тому

      when calculating the CI you have to use t at alpha/2 so t0.025 at df = 9 which would give you these values

  • @lavishangel4069
    @lavishangel4069 2 роки тому

    How do I pay my tuition fee?

  • @Thevisibleman844
    @Thevisibleman844 10 місяців тому

    How can I calculate it by using the calculator

  • @gw7403
    @gw7403 2 роки тому

    Null hypothesis should be u(d)=0 instead of u(d)>=0. It is also more informative to calculate and compare probability value to significance level instead of conceptualizing t values.

  • @mabelting963
    @mabelting963 3 роки тому

    It helped a lot🙏🙏

  • @sinaabedini7487
    @sinaabedini7487 4 роки тому

    You are the greatest

  • @mdichathuranga1
    @mdichathuranga1 4 роки тому +2

    hi thanks for the video, just need to get a point clarified when getting the confidence interval shouldn't the (Alpha /2) be used which is 0.025, But 0.05 .... because for confidence interval we usually use t(Alpha/2) right ? ....
    in your previous video, you mention we should be using t(Alpha/2) : ua-cam.com/video/MUD390jtgQs/v-deo.html
    would you be able to advise on this ?.....
    Thanks,
    best reagards.

  • @devotion_tws
    @devotion_tws 2 роки тому +1

    wait why md

  • @philipcho231
    @philipcho231 3 роки тому

    Anyone know why null is >=0 not =0? I thought null was about no change.

  • @amirhosseinnouri6821
    @amirhosseinnouri6821 2 роки тому

    Thanks

  • @eulastamayo328
    @eulastamayo328 3 роки тому +1

    thank u for this

  • @zach221092
    @zach221092 3 роки тому

    I thought it was incorrect (and a common misinterpretation) to say that 95% confidence interval means that the population mean lies within that interval with 95% probability. I thought the definition was that with repeated samples you expect with 95% probability for your sample mean to fall within that interval?

  • @mohammedakhrib499
    @mohammedakhrib499 3 роки тому

    Thank you so much

  • @nimoosman7716
    @nimoosman7716 8 місяців тому

    Thanks man

  • @peanutlah
    @peanutlah 4 роки тому

    Thank you very much!

  • @RobertThiviya
    @RobertThiviya Рік тому

    Why is the significance level changing from 5% to 0.05

  • @__evanhart5320
    @__evanhart5320 3 роки тому

    the standard deviation i get on my calculator ( because i can input it there) is 12.3. idk why im always a few points off when it i do it that way

    • @justinmulyagananda1057
      @justinmulyagananda1057 3 роки тому

      Did you use the Sample Stdev?

    • @amaanahmed8936
      @amaanahmed8936 3 роки тому

      @@justinmulyagananda1057 yes i got 12.3 too, i used the general standard deviation formula, is it wrong?

  • @anjumshaikh3270
    @anjumshaikh3270 4 роки тому

    Thank you Sir.Greatful to u

  • @abuda7em20
    @abuda7em20 Рік тому

    sometimes we minus ( after - before = Xd ) and sometimes we minus (before - after = Xd ) , So , when we decide which one to use .

  • @nimoosman7716
    @nimoosman7716 8 місяців тому

    Wilcoxon rank sum test ?