Calculating Correlation (Pearson's r)

How to calculate Pearson's r correlation coefficient
Warning: I calculated the degrees of freedom (df) incorrectly.
The N is 7, not 14.
I counted the number of scores (which is typical in other calculations), instead of the number of cases. In this example, the df is indeed 5, meaning the critical value is 0.669, which is greater than the calculated r of 0.62, meaning we accept the null = no correlation.

[@PatriciaJenkinson]

There is an error in the calculation of degrees of freedom. Please watch the corrected version at kzbin.info/www/bejne/oZDHlKaQlJWohKs. The N is 7, not 14. I counted the number of scores (which is typical in other calculations), instead of the number of cases. In this example, the df is indeed 5, meaning the critical value is 0.669, which is greater than the calculated r of 0.62, meaning we accept the null = no correlation.

[@AlmaMaeAberilla]

I'm in 12th grade and had the lead our group in doing our research study, as someone who had zero ideas on how to conduct one, what statistical tool and method to use, this video saved my grades from failing. THANK YOU SO MUCH

[@PatriciaJenkinson]

I’m so glad I could help.

[@nicahcahanap6210]

same

[@georgenwankwo5792]

You are the best person that has ever explained this. Now I do not feel aloof anymore

[@delamberty]

14 minutes made me understand what I could not get in 7 days! Thank you Patricia for publishing this video.

[@PatriciaJenkinson]

You're so welcome!

[@joelkitugwanidde2426]

Like Albert Einstein once said, if you can't explain it in a simple way, then you don't understand it well enough. Thank you,, Patricia, Jenkins, because you made me understand the concept so well. I look forward to more videos from you.

[@aravindssingapore4327]

Hi, Patricia. I must say your teaching style is highly commendable. I will certainly refer you to family and friends, because anything that is commendable is surely recommend-able.

[@lyndamccroskey1884]

This is excellent. I will suggest to my students. Also, P. Jenkinson's vocal delivery is very warm, calming. I feel students will respond well to her lecture. Thank you so much for this lecture. best--Dr. LLM

[@IamPali2024]

This is amazing. I am a PhD student ready to conduct my correlational study and only now (after you explained the definitions and terminology in a mathematical context) I have clarity and can finish writing my proposal with confidence. Thank you for this

[@PatriciaJenkinson]

Glad it was helpful!

[@MisheckKazembe-hv4nc]

You are a great teacher 🔥🔥🔥. Only 14 minutes, very beneficial

[@getty3959]

Thank You.....Had to follow step by step and practice. Then input in spss and it gave me the exact outcome PHEW. at last I got a good expalnation. Thank you Pat.

[@withlovestephaniedenise7024]

I’d like to give this instructor her flowers 💐🌺 🌸 Ty

[@PatriciaJenkinson]

Thank you! I hope you are watching the corrected version.

[@whoasked6147]

BEST VIDEO ABOUT THIS TOPIC EVER. THANK U MA'AAAM I HAVE MY FINAL EXAMS LATER YOURE A HERO, ANGEL, AND GODSENT. ILYSMMM

[@matthewademola9020]

Plainly explained. The steps are easy to follow. Simplicity at its best.

[@sheilabranzuela7035]

hi there Ms. Patricia! You're totally awesome. thnx for sharing your expertise

[@graceindiagordon]

Super helpful! Got the song stuck in my head all day😂

[@nabuusodoreen-6442]

it was very help ful to me,true definition of a teacher

[@nicahcahanap6210]

It helps me a lot. I thought it is very hard but this video helps me to understand it in a very simple way

[@rnsbakhietrm5914]

Thank you very much. The way you break down on the presentation really helps. Thank you again. 👏

[@sibuskry2530]

Clear and easy to understand. Best stats video I've seen by far!

[@Ivongjen]

So very helpful e-tutorial. Very best Prof. Jenkinson

[@silviar.7438]

That was soooo helpful. I love the way to broke that down I could actually understand it. Do you have any videos explaining Regression and ANOVA or SPSS ?

[@justice24456]

best explaination so far I checked out about regression. Thanks Patricia.

[@khenethavila]

So much videos but this is the best among them!!!

[@waqarahmed-gi4zr]

Very benificial thanks for teaching such s brief and easy way to learn basis concept

[@natarajanthirugnanasambamd5013]

The Training video is very simple and easily understandable .Thanks for publishing a good training video

[@ibrahimiliyas3985]

Congratulation for the precise explanation

[@liazul540]

You are amazing thank you. Been confused on how to do it but I understood it well~

[@davecheung6957]

Is the number of observation 7 or 14? There are only 7 data points??

[@ValdirCarvalhoRibeiro]

Thank you so much for providing such knowledge for free.

[@mohammadmannan2253]

Very nice/under-stable presentation.

[@mohanadazzam6095]

very informative and simple explanation. thank you

[@yogeetabhambhani1314]

Amazing informative sharing..

[@aravindssingapore4327]

I also have lyrics to add to your and your professor's brilliant song. They are as follows: If any of your students wish to declare their love for each other during your lesson, they may wish to do so with the following words: The greater the *number / The brighter love's ember / Darling, don't you see / How much I adore thee? / 'Cos our hearts lie so near the magic line / So this Feb 14th, won't you be my Valentine 🌹? *in context, "number" refers to the coefficient of correlation, whereby a higher positive correlation coefficient indicates that the 2 of them are highly compatible

[@ati2006]

Best exposition I have come across. Thanks

[@joanleslie-jones1381]

This extremely helpful, very clear step by step explanation. Thank you very much

[@bhupendersingh1067]

Best way of teaching.........thax

[@rinishitutnaik]

The explanation is excellent👌👌👌👍👍 but faced a problem reading down the text. Because of translation strips running whole over the session..

[@erin2150]

Love the way you teach, thank you!

[@johng5295]

Thanks in a million. Where have you been all these years!

[@DanielHinneh]

This is great Ma ❤ The timing so good

[@TheBraveOne.]

You helped me a lot thanks

[@alialasadi9570]

really nice way to explain the subject and make it great you did a great job

[@moguerestherg.6547]

Thank you very much.

[@alexandermrkich8734]

That was an excellent explanation and example. Thank you!

[@SlowZX2]

THANK YOU SO SO SO MUCH! You explained it perfectly making it seem so easy to me :) Made me feel like a genius after I found that I got the exact number that popped up on the automatic answer in excel! Thanks for the video! Today I have a Biology IA due and this just saved me! (it's 4:00am here right now) *#IBLife*

[@eduardobronson8653]

i know im asking randomly but does any of you know a tool to get back into an Instagram account? I stupidly lost my account password. I would appreciate any help you can offer me

[@mengistumatewos1224]

wonderful. please continue

[@SiegfriedNeumann]

Thank you very much indeed. You made my assignment easy.

[@bobwrotenstien315]

Would it be correct to say that the essence of Pearson's formula when stated in words is: For the denominator see how far all the X's and how far all the Y's vary from their average. The larger the variation of all the X or all the Y or both makes for a larger denominator. For the numerator, see how much each (x,y) set moves in tandem. (X1 is increasing while Y1 is increasing for example) . If in many of the sets x and y are both moving by large amounts in the same direction as in the other sets you get a bigger number than if they are moving in different directions in some sets vs other sets. If the amount of movement in the same direction between the (x,y) sets approaches the amount of movement between the Xs and Ys seperately then you have found correlation.

[@robwin0072]

You knocked it out of the park - Awesome

[@kristinemartinez6505]

THANK YOU VERY MUCH. PAPASA NA KAMI SA THESIS YEHEY HAHAHAHAHAHA (BALIKAN KO TO PAG PUMASA KAMI) AMEN!!!

[@noraal-fikey6115]

First, thank you for your help Can I ask what is the difference between ( scatter diagram, Karl person's coefficient of correlation)

[@vaishalisuryawanshi164]

Very good explanation.

[@Littlejaneandthepistolwhips]

Thank you so much!

[@Magmatic91]

In excel the correlation is not significant at 0.05. The p value given in Excel is 0.136 which is > 0.05 so we accept H0. So the correlation is not sig. Can you please explain to me why is this?

[@mashiurchowdhury8536]

Greatly explained

[@eJavierLaChira]

That was a fantastic explanation, thank you!!

[@alicenorah1208]

Sooo helpful...thanks for the tutorial😊

[@DorjiWangchuk101]

Your ending song was great. Although I am a postdoc, kindergarten pedagogy still works HA HA HA

[@MDAVID2903]

Awsome lecture. Thank you!

[@nancymalitoli9864]

best lecture

[@NomansSkywalker]

Useful video and well explained. However, there is a mistake in the DF calculation. Your sample N is 7 not 14.

[@mohammedahmedjalloh531]

yeah, I think she added the values up to make it 14 since we were checking for the weakest and strongest relationship.. for X and Y that is X(7) + Y(7) = 14 for the total samples.

[@user-gv1sd9ht6m]

Thanks for the very helpful video! 😊 but I have a question. Is this applicable to a sample size of 60 or even more?

[@adenmuumin9458]

Thanks, Ms. Patricia.

[@villemarieadrias1783]

How did you find the pearson's r? plsss helpp me

[@melhaniegean903]

useful content, thanks

[@wendyrabvunda9412]

thank you so much you really explained it well in a nice way

[@dr.sangeetasachdeva8773]

thank you very much for the excellent presentation. only one point I couldn't understand i.e. when we are comparing to critical r, what is; assume alpha level =.05 for a one tailed test?

[@EdutObona]

Very educating. Thank you.

[@PatriciaJenkinson]

Glad it was helpful!

[@governor2545]

Very nice teaching

[@pialesschipulu4589]

Well explained

[@glennafranke7360]

Thanks. Very helpful and I could understand it!! :)

[@lez-b-real8791]

Thank you soooooo much. My professor is more interested in showing us the computer work and not so much the long hand. Sadly MyStatLab loves math problems and doesn't care about JMP.... thank you, thank you, thank you

[@PatriciaJenkinson]

So glad it helped. But the computer work is so much easier. The benefit of knowing how to do it by hand is that you are better able to understand the concepts so you can interpret the results. However, as someone noted, I actually counted the degrees of freedom wrong in here. All the calculations are correct, but when compared against the critical value, I used the wrong df so compared to the wrong CV. I created a newer video with the correction: kzbin.info/www/bejne/oZDHlKaQlJWohKs. Essentially, we only have 7 cases, not 14. df is N-2, so 7-2 = 5. Sorry for the mess-up. I tried to redirect the video. But, you got the idea on the calcuations at least.

[@washingtonmuriungi]

Easy to understand

[@rajadhav]

Fantastic! Keep educating.....

[@KeithAurea]

Thank you!

[@beckybearOo]

This was exactly what I needed thank you so much

[@xoalexalovesyouxo]

This helped me so so much; thank you!!

[@okaysidd]

Great explanation! Thanks

[@economyforcivilservicejite6431]

Good explanation

[@josephricafrente8195]

Thank you..👍👍👍

[@mushimejuliana3984]

Hi...but i thought you are mistaken on 5th column that not the summation of them

[@sia8158]

Very helpful. Thank you

[@alfiedilag624]

This was so great... Thanks a lot 👍

[@woodchuk1]

Just curious...for correlation, the degrees of freedom is indeed n-2. I thought that for correlation purposes, n was the total number of paired data points, not counting each part separately. Since we have 7 students, wouldn't we only have 5 degrees of freedom, not 12?

[@PatriciaJenkinson]

Dang! You are correct. I counted the number of scores (which is typical in other calculations). In this example, the df is indeed 5, meaning the critical value is 0.669, which is greater than the calculated r of 0.62, meaning we accept the null = no correlation. (Dang! I hate it when I'm wrong. I'll see what I can do to put a note on the video. Thanks for catching my error.)

[@woodchuk1]

Patricia Jenkinson Hey, no problem. We are all human...you're doing a great job in clearly explaining a topic that is undoubtedly hard and/or tedious for many people. I just happened to develop a passion for math and number-crunching, so stats has always interested me. Subbed!

[@PatriciaJenkinson]

Thanks. Unfortunately, this will be a low priority for me. KZbin has taken away the option to edit and keep the same URL. So I will need to re-record (and come up with different numbers so I can make the result significant), re-upload, and redo the captioning. That's going to take some time. In the meantime, I put a note in the description. Good for you to be a number-crunching person! (I'm really not; I've just learned to do it and have had to teach it.)

[@PatriciaJenkinson]

I did it all today (I couldn't stand to have an error up there.) kzbin.info/www/bejne/oZDHlKaQlJWohKs

[@woodchuk1]

Patricia Jenkinson Wow, I hope I didn't cause you any headaches! Your dedication is commendable...I don't know if I would have had the strength to do it all in one day! I think YT needs to make editing videos easier!

[@toritrylovich1]

really good video, thank you so much!

[@kobusingyeann9223]

This is great thanks so much I was helped

[@eternalreality4346]

Thank you so much 💓

[@PatriciaJenkinson]

You're welcome 😊

[@lefhikaphokontsi4444]

you saved me bro

[@mush543]

very good video

[@16kickboxing]

Thank you. It helped

[@engalavanivani9299]

Thank you mam.

[@michalnawracaj6164]

Why is the degree of freedom equal to 14-2 and not 7-2 ?

[@Devilupz]

ik im late but it is 7-2. She apologized and made a new video.

[@lianacampopiano56]

thank you queen

[@jb411000]

Excellent! Patricia.

[@emersonsrandomvideos248]

What if your calculated "r" is a negative number, say -0.62, would that still be greater than 0.457 to compare with critical "r"?

[@woodchuk1]

Pinoy keyboard warrior The critical r value can be taken as a plus or minus. So if our r is greater than 0.457 or less than -0.457 (which -0.62 would be) we can reject the null.

[@sarahz9703]

I think you mean epsilon not sigma, but this was great thanks

[@aravindssingapore4327]

The greater the *number / The brighter love's ember / Darling, don't you see / How much I adore thee? / 'Cos our hearts lie so near the magic line / So this Feb 14th, won't you be my Valentine 🌹?

[@thatoangelobuseng8804]

♥️Wow thanks a lot

[@ninol2189]

EXCELLENT!!

[@saurabhmardi8109]

Awesome