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Spearman’s Rank

Spearman’s Rank . Statistical Analysis to show Relationship Strength. Is birth rate connected to economic development in Central and South American countries?. Data taken from Philip’s International School Atlas (2nd Edition) published 2006 . SPEARMAN’S RANK CORRELATION COEFFICIENT.

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Spearman’s Rank

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  1. Spearman’s Rank Statistical Analysis to show Relationship Strength. www.i-study.co.uk

  2. Is birth rate connected to economic development in Central and South American countries? Data taken from Philip’s International School Atlas (2nd Edition) published 2006 www.i-study.co.uk

  3. SPEARMAN’S RANK CORRELATION COEFFICIENT It says … It allows us to … Compare the RANK ORDER of TWO Data Sets www.i-study.co.uk

  4. The total of 6 x Spearman’s Rank Correlation Coefficient The DIFFERENCES between the RANKS assigned to each ‘price’ SQUARED The number of different factors in the study www.i-study.co.uk

  5. The Maths For Argentina: • d (rank difference) = 8.5 • So d2 = 72.25 • Repeat this calculation for each country • Multiply the sum of all the d2 values by 6 to give the top line of the equation • n = the number of countries in the sample =12. • n³ - n : 1728 – 12 = 1716 (now we have the bottom line of the equation) • Plug in the appropriate numbers to the full equation: your answer for step 4 your answer for step 6 R = 1- www.i-study.co.uk

  6. What does this R value mean? • The closer Ris to +1 or -1, the stronger the likely correlation. • Perfect positive correlation is +1 • Perfect negative correlation is -1. • Therefore, what sort of relationship do your calculations suggest? www.i-study.co.uk

  7. What is it showing? Total Disagreement Overall Neither Agree or Disagree Total Agreement rs close to -1 rs close to 1 rs close to 0 www.i-study.co.uk

  8. The significance of the relationship! • The R value must be looked up on the Spearman Rank significance table. • 'degrees of freedom' : This is the number of pairs in your sample minus 2 (In this case, 12 – 2 = 10) • Using the R value (y axis) the degrees of freedom value (x axis) plot the position of the graph (next page). www.i-study.co.uk

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  10. Tasks • Repeat this exercise for the same countries, but this time replace the birth rate data with the data for life expectancy. www.i-study.co.uk

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