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Use Spearman’s Rank Correlation to analyze the relationship between GCSE results and homelessness in 10 London boroughs. Learn how to interpret the coefficient and understand the hypothetical relationship. Run the numbers using the formula provided.
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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 data
Spearman’s rank: how to What would be the hypothetical relationship between the two?
Hypothesis – the higher the GCSE results the lower the number of homeless
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
Over to you – run the numbers! Comment on your results Offer any reasons for your results