Matched or Paired Samples T-Test - Hypothesis Testing

This Statistics video tutorial provides a basic introduction into matched or paired samples. It explains how to use the T-test and the student's t-distribution to determine whether or not if you should reject the null hypothesis in favor of the alternative hypothesis. It also explains how to construct a confidence interval and calculate the margin of error at a specified significance level.
Confidence Intervals & Margin of Error:
• How To Find The Z Scor...
Find The Z-Score Given Confidence Interval:
• How To Find The Z Scor...
Student's T-Distribution:
• Student's T Distributi...
Hypothesis Testing - Null & Alternative:
• Hypothesis Testing - N...
Type I and Type II Errors:
• How To Identify Type I...
One Tailed and Two Tailed Tests:
• One Tailed and Two Tai...
_______________________________________
Test Static For Means & Pop Proportions:
• Test Statistic For Mea...
Hypothesis Testing Problems:
• Hypothesis Testing Pro...
P-Value Method - Hypothesis Testing:
• P-Value Method For Hyp...
Hypothesis Testing - Proportions:
• Hypothesis Testing - S...
Difference of 2 Means - H Testing:
• Hypothesis Testing - D...
Cohen's D - Pooled Standard Deviation:
• How to find Cohen's D ...
Hypothesis Testing - 2 Proportions:
• Hypothesis Testing Wit...
__________________________________
Matched or Paired Samples t-Test:
• Matched or Paired Samp...
Chi Square Test:
• Chi Square Test
Chi Square Distribution Test:
• Chi Square Distributio...
Test of Independence - Chi Square Dist:
• Test of Independence U...
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 168

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Next Video: kzread.info/dash/bejne/en94086Sg6_aZps.html Final Exams and Video Playlists: www.video-tutor.net/

  • @shuvashishsharma1299

    @shuvashishsharma1299

    11 ай бұрын

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

  • @riky2107

    @riky2107

    13 күн бұрын

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

  • @riky2107

    @riky2107

    13 күн бұрын

    @@shuvashishsharma1299 I was thinking the same

  • @maryamalhamdan1510
    @maryamalhamdan15103 жыл бұрын

    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

  • @enruiwang1537

    @enruiwang1537

    2 жыл бұрын

    彳亍

  • @alexb1312

    @alexb1312

    2 жыл бұрын

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

  • @maryamalhamdan1510

    @maryamalhamdan1510

    2 жыл бұрын

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

  • @ali_engin33r

    @ali_engin33r

    6 ай бұрын

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

  • @tomatrix7525
    @tomatrix75254 жыл бұрын

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

  • @liamstevenson5350

    @liamstevenson5350

    3 жыл бұрын

    @Beckham Darren 15 minutes? You know what that reminds me of? Geico. 15 minutes can save you 15% or more on car insurance.

  • @trevormasuku9606

    @trevormasuku9606

    3 жыл бұрын

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

  • @sabrinasaad8381

    @sabrinasaad8381

    Жыл бұрын

    He is your saviour haha

  • @AbhishekVerma-kj9hd

    @AbhishekVerma-kj9hd

    Жыл бұрын

    Very nice explanation sir love from India

  • @tashinesempire6129

    @tashinesempire6129

    7 ай бұрын

    I was literally just thinking of the same thing

  • @laaori
    @laaori4 жыл бұрын

    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 жыл бұрын

    is he the actor Mark Wahlberg??

  • @thangtran145

    @thangtran145

    3 жыл бұрын

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

  • @DanishJaved

    @DanishJaved

    7 ай бұрын

    are you doing good financially now / graduated?

  • @DanishJaved

    @DanishJaved

    7 ай бұрын

    been 4 years thought I'd ask lol

  • @RomeoJ1996
    @RomeoJ19962 жыл бұрын

    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

  • @colleen1396
    @colleen13963 жыл бұрын

    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! ❤️

  • @dendeibrahimadekanmbi8022
    @dendeibrahimadekanmbi80224 жыл бұрын

    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

  • @Alchemist10241
    @Alchemist10241 Жыл бұрын

    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. 👍

  • @khaishir1968
    @khaishir19684 жыл бұрын

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

  • @Cat-it7sl
    @Cat-it7sl3 жыл бұрын

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

  • @stephaniemoura9325
    @stephaniemoura9325 Жыл бұрын

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

  • @turnabuse7035
    @turnabuse70354 жыл бұрын

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

  • @tinkamugishavianney1784
    @tinkamugishavianney17842 жыл бұрын

    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

  • @amudh
    @amudh Жыл бұрын

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

  • @meenukrishna7684
    @meenukrishna76844 жыл бұрын

    Exceptionally good....very clear and simple presentation

  • @anthonyliu2264
    @anthonyliu22644 жыл бұрын

    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

  • @esthermuseba4278
    @esthermuseba42784 жыл бұрын

    Many thanks for simplifying this topic.

  • @lemmarie4091
    @lemmarie40912 жыл бұрын

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

  • @kingrey405
    @kingrey4052 жыл бұрын

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

  • @fredessafigueroa1666
    @fredessafigueroa1666 Жыл бұрын

    Wow!! Super easy to follow, awesome tutorial.

  • @Chikulamayembe57
    @Chikulamayembe572 жыл бұрын

    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?

  • @watermel

    @watermel

    Жыл бұрын

    Yes I thought the same thing!

  • @salimalzadjali8387

    @salimalzadjali8387

    4 ай бұрын

    Yup

  • @MonsieurGilbert

    @MonsieurGilbert

    Ай бұрын

    i think so too

  • @thibodeauxchris4171
    @thibodeauxchris41712 жыл бұрын

    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

    2 жыл бұрын

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

  • @Vintagetube310
    @Vintagetube3103 жыл бұрын

    You’re the best, man!

  • @adityendrapratapsingh7999
    @adityendrapratapsingh79993 жыл бұрын

    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

    3 жыл бұрын

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

  • @itsrishika7022

    @itsrishika7022

    3 жыл бұрын

    yea I had the same concern

  • @angeleatitia1664

    @angeleatitia1664

    3 жыл бұрын

    @@surihapsari6595 CI is always 2-tailed

  • @flameon8185

    @flameon8185

    3 жыл бұрын

    t value must be 2.262 right?

  • @chrisnedelchew

    @chrisnedelchew

    2 жыл бұрын

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

  • @jenkomatic
    @jenkomatic Жыл бұрын

    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?

  • @signedturnip6442
    @signedturnip64423 жыл бұрын

    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?

  • @nanjuldopsal260
    @nanjuldopsal2603 жыл бұрын

    Many thanks for breaking this down.

  • @KhaleesiZA
    @KhaleesiZA2 ай бұрын

    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!!!!

  • @analuciaaraujoraurau197
    @analuciaaraujoraurau1972 жыл бұрын

    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?

  • @wubesemagn2021
    @wubesemagn20213 жыл бұрын

    Thank you, It really is helpful.

  • @andrewwashere
    @andrewwashere3 жыл бұрын

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

  • @jorrpatel238

    @jorrpatel238

    11 ай бұрын

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

  • @choolwe5564
    @choolwe5564Ай бұрын

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

  • @peruskins96
    @peruskins963 жыл бұрын

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

  • @ashutoshsingh7529
    @ashutoshsingh75292 жыл бұрын

    Give this man a medal!

  • @commonwang1457
    @commonwang14573 жыл бұрын

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

  • @D4rkVenge
    @D4rkVenge3 жыл бұрын

    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?

  • @rafaella5
    @rafaella53 жыл бұрын

    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 жыл бұрын

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

  • @isaacwachira8803
    @isaacwachira88033 жыл бұрын

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

  • @anjumshaikh3270
    @anjumshaikh32704 жыл бұрын

    Thank you Sir.Greatful to u

  • @Richard-kz1ee
    @Richard-kz1ee3 жыл бұрын

    My best online prof. Heart you Sir

  • @harrybarden6053
    @harrybarden60533 жыл бұрын

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

  • @rsadsultanov3071

    @rsadsultanov3071

    3 жыл бұрын

    Don't you practice online lessons?

  • @michelleacab6024
    @michelleacab60242 жыл бұрын

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

  • @Sawdust6666
    @Sawdust6666Ай бұрын

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

  • @joserobertopacheco298
    @joserobertopacheco2983 жыл бұрын

    Very Good explanation.

  • @nageenajamrozbspsychologys7223
    @nageenajamrozbspsychologys72233 жыл бұрын

    this was helpful thanks sir

  • @mufarachisi4236
    @mufarachisi4236Ай бұрын

    You're the best Mat God bless you

  • @theodoresweger4948
    @theodoresweger4948 Жыл бұрын

    Very well done thanks.

  • @RamonTogonon-ec1ey
    @RamonTogonon-ec1ey Жыл бұрын

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

  • @xxv242
    @xxv2423 жыл бұрын

    Thank you very much!

  • @dizzyboy92
    @dizzyboy92 Жыл бұрын

    Excelent video. Just commenting to boost it.

  • @akhilanvijayan
    @akhilanvijayan3 жыл бұрын

    when I calculate SD I am getting a different value

  • @hallaallam7091
    @hallaallam70913 жыл бұрын

    Thanks you saved my statistic exam

  • @bertram1724
    @bertram17243 жыл бұрын

    how do I get the P-value from this?

  • @malkim201
    @malkim201 Жыл бұрын

    Very valuable thank you so much

  • @user-pq7nx4kc4t
    @user-pq7nx4kc4t Жыл бұрын

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

  • @nansubugaangella9934
    @nansubugaangella99347 ай бұрын

    ❤thank you, you actually save lives

  • @riky2107
    @riky210713 күн бұрын

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

  • @cosmokramer7708
    @cosmokramer77082 жыл бұрын

    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

  • @joanchong6622
    @joanchong6622Ай бұрын

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

  • @yajatchoksi2652
    @yajatchoksi26529 ай бұрын

    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

  • @cjk9518
    @cjk95183 жыл бұрын

    Thank you so much,God bless

  • @Beingzuuu
    @Beingzuuu4 ай бұрын

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

  • @tjpradeep9217
    @tjpradeep92172 жыл бұрын

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

  • @zarazafar4886
    @zarazafar48863 жыл бұрын

    Is it always after - before?

  • @ghaniyd6292
    @ghaniyd62922 ай бұрын

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

  • @mabelting963
    @mabelting9633 жыл бұрын

    It helped a lot🙏🙏

  • @eulastamayo328
    @eulastamayo3283 жыл бұрын

    thank u for this

  • @CamiloSanchez1979
    @CamiloSanchez19797 ай бұрын

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

  • @sinaabedini7487
    @sinaabedini74874 жыл бұрын

    You are the greatest

  • @Strikerfm1
    @Strikerfm1Ай бұрын

    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 .

  • @arlenemaesalera949
    @arlenemaesalera9493 жыл бұрын

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

  • @philipcho231

    @philipcho231

    3 жыл бұрын

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

  • @samueldarenskiy6893
    @samueldarenskiy6893 Жыл бұрын

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

  • @faisalsadiq7698
    @faisalsadiq7698 Жыл бұрын

    Thank you so much....God bless you

  • @hyerijeong9332
    @hyerijeong9332 Жыл бұрын

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

  • @leahhall7504

    @leahhall7504

    Жыл бұрын

    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

    Жыл бұрын

    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

    Жыл бұрын

    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.

  • @mohammedakhrib499
    @mohammedakhrib4993 жыл бұрын

    Thank you so much

  • @ratnanirupama
    @ratnanirupama2 жыл бұрын

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

  • @Ventixo
    @Ventixo11 ай бұрын

    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??

  • @Thevisibleman844
    @Thevisibleman8447 ай бұрын

    How can I calculate it by using the calculator

  • @zacharyh8253
    @zacharyh8253 Жыл бұрын

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

  • @AN-ts4rf
    @AN-ts4rf4 жыл бұрын

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

  • @dthakur9056
    @dthakur90563 жыл бұрын

    What if t value is in negative

  • @Brian_LeFevre
    @Brian_LeFevre2 жыл бұрын

    You’re a legend

  • @surihapsari6595
    @surihapsari65953 жыл бұрын

    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

    3 жыл бұрын

    Using the CI formula in this video kzread.info/dash/bejne/hoGGpKl_ec2WgrA.html gives me the same values as SPSS.

  • @itsrishika7022

    @itsrishika7022

    3 жыл бұрын

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

  • @philipcho231
    @philipcho2313 жыл бұрын

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

  • @peace58489
    @peace584894 жыл бұрын

    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 жыл бұрын

    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 жыл бұрын

    no it depends on the test used

  • @mdichathuranga1
    @mdichathuranga14 жыл бұрын

    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) : kzread.info/dash/bejne/f4l4lZtpmtfNgdY.html would you be able to advise on this ?..... Thanks, best reagards.

  • @bffchannel9860

    @bffchannel9860

    4 жыл бұрын

    Ishan Chathuranga nah cuz it’s 1 tail

  • @mdichathuranga1

    @mdichathuranga1

    4 жыл бұрын

    @@bffchannel9860 thanks 👍

  • @__evanhart5320
    @__evanhart53203 жыл бұрын

    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 жыл бұрын

    Did you use the Sample Stdev?

  • @amaanahmed8936

    @amaanahmed8936

    3 жыл бұрын

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

  • @nimoosman7716
    @nimoosman77165 ай бұрын

    Wilcoxon rank sum test ?

  • @KamranKhan-pm9sj
    @KamranKhan-pm9sj Жыл бұрын

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

  • @nimoosman7716
    @nimoosman77165 ай бұрын

    Thanks man

  • @ermutanda3802
    @ermutanda38026 ай бұрын

    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

  • @devotion_tws
    @devotion_tws2 жыл бұрын

    wait why md

  • @minjinseo3681
    @minjinseo3681 Жыл бұрын

    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

    Жыл бұрын

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

  • @zach221092
    @zach2210923 жыл бұрын

    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?

  • @amirhosseinnouri6821
    @amirhosseinnouri68212 жыл бұрын

    Thanks

  • @itzboyon6983
    @itzboyon69833 жыл бұрын

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

  • @lavishangel4069
    @lavishangel40692 жыл бұрын

    How do I pay my tuition fee?

  • @KamranKhan-pm9sj
    @KamranKhan-pm9sj Жыл бұрын

    hello i need your help

  • @theodoresweger4948
    @theodoresweger49482 жыл бұрын

    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!!!!

  • @arvinflores5316
    @arvinflores53163 жыл бұрын

    why population mean of the differences is zero?

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