Understanding Spearman's Rank Correlation Coefficient Rs Explained

today we will introduce spearman's coloration coefficient R sub s which is defined as the person's

coloration coefficient between the ranked variables it indicates the degree of a monotonic

relationship between the variables it is affected by outlier less than Pearson's coloration coefficient

for the experiments the collagen coefficient first of all

the keywords is the rank variables it's about coloration between the ranked variables second keyword is a

monotonical relationship how to describe the monotonical relationship

you will use the following sentence when X increases what about y increases or weight decreases how to

label the rank the highest number will be rank 1. 8.2 is rank 1. then

the second highest one I have three numbers exactly the same but I still label as a two three four

then I have a 5.04 5.04 I will label as a 5 6 even they are the same

then I have a seven eight nine

ten then for the same number you will add this ranking

together divided by three four plus three plus two divided by three

will be three so

the rank for 7.5 well is a three for 5.4 we've got

rank of five and a six so five plus six divided by two equals 5.5

the rank will be 5.5 for both 5.04 this is a one seven nine

eight ten that's how you

rank the data now let's go to 1G calculate the Spearman coloration coefficient R sub s

between the wind speed and the time to fully charge the robot since we already put

l y and L2 into the graphing calculator we will use calculator to do the rank

for the L3 we will put one two three

four five six

then we go back to stat d enter

we want to sort L what then enter that you need to sort L2 also

second two is L2 enter then then we go back to stat edit you could say

L1 L2 assorted from a heist to the lowest this will be the rancor for each number

for x wind speed 30 is 1 28 is 2 24 is a 3. 16 is a 4. 10 is a five well six is a six

after we put the rank we need to put this record into L1 and L2

this will be L1 this will be L2 so go to the calculator make a cursor

highlighter L1 then press up clear enter

they will clear the data in L1 then highlight L2 press clear enter

it will clear L2 so for L1 that is a 6. 5.

4 three two

one for L2 5 6 4 3 1 2.

then press mode to make us that Diagnostics on then quit

go to stat again calculate then go to 4.

this time we only focus on these are this is a spearman's collusion

coefficient it's about the coloration between rank variables these are equals 0.886

so we get this experiments coloration coefficient R sub s equals 0.886

1K describe monotonic relationship between the wind speed and the time to fully charge the robot since this R is

greater than zero which means when wind speed increases the timer to fully charge the robot

increases so the monotonic relationship between wind speed and the time to fully charge

the robot is that when the wind speed increases

the time to fully charge the robot increases