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Correlation coefficient

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Presentation on theme: "Correlation coefficient"— Presentation transcript:

1 Correlation coefficient
Spearmans Ranks Correlation coefficient

2 Don’t worry it’s not as bad as it looks!
What is spearmans rank Spearman’s rank is a formula that is used to determine the correlation between two sets of data It is measured -1 and 1 (-1 = strong negative 0 = no correlation and +1 is strong positive) The formula is Don’t worry it’s not as bad as it looks!

3 Step 1 Collect and display your data on age and shoe size for the 10 people in a table like this

4 Step 2 Rank your data 1=your smallest number
If the same number appears more than once take the average number between them and award each with that but count each one as itself

5 Stage 3 Find the difference (D) between the two ranks

6 Stage 4 square the differences to get rid of the negatives

7 Stage 5 Total the squared differences

8 Stage 6 Put the data into the formula

9 Stage 7 ∑d² = 70 6 x 70=420

10 Step 8 n = 10 10(10² - 1) 990

11 Stage 9 420 ÷ 990 = 0.424

12 Stage 10 = 0.567

13 What does this mean? Our result looks good but…… -1 1
1 Strong negative correlation Strong positive correlation No correlation

14 What does this mean? 5% level 1% level 0.567 is not high enough!
- it looked good BUT…

15 Not a SIGNIFICANT result!!

16 Graph for a comparison……


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