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Correlation coefficient
Spearmans Ranks Correlation coefficient
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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!
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Step 1 Collect and display your data on age and shoe size for the 10 people in a table like this
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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
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Stage 3 Find the difference (D) between the two ranks
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Stage 4 square the differences to get rid of the negatives
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Stage 5 Total the squared differences
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Stage 6 Put the data into the formula
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Stage 7 ∑d² = 70 6 x 70=420
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Step 8 n = 10 10(10² - 1) 990
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Stage 9 420 ÷ 990 = 0.424
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Stage 10 = 0.567
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What does this mean? Our result looks good but…… -1 1
1 Strong negative correlation Strong positive correlation No correlation
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What does this mean? 5% level 1% level 0.567 is not high enough!
- it looked good BUT…
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Not a SIGNIFICANT result!!
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Graph for a comparison……
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