Statistical analysis Spearman’s Rank Correlation Coefficient Gives a numerical value to the trend on a scatter graph
You need data Choose 10 boroughs of London Choose 3 indicators Using London borough Stat-Pack collect the dataUsing London borough Stat-Pack collect the data
Spearman’s rank: how to BoroughData 1RankData 2RankDifferenc e between ranks Differenc e squared BoroughGCSE results RankHomeles s RankDifferenc e between ranks Differenc e squared What would be the hypothetical relationship between the two?
Hypothesis – the higher the GCSE results the lower the number of homeless BoroughGCSE results RankHomeles s RankDifferenc e between ranks Differenc e squared City110981
BoroughData 1RankData 2RankDifferenc e Diff sq Total Diff sq =
Spearman’s rank formula Coefficient = 1- 6(∑d²) n³-n Where (∑d²) is the total of the differences squared Where n is the number of data sets (in this case 10 – so n³-n = 990
What does your result mean? The coefficient (R) is a value between -1 and +1 Closer to +1 you get the stronger a positive relationship there is Closer to -1 you get the stronger a negative relationship there is (Remember – the hypothesis) Hypothesis – the higher the GCSE results the lower the number of homeless