Spearman Rank
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Spearman Rank

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IB Geography, Population & statistics

IB Geography, Population & statistics

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Spearman Rank Spearman Rank Presentation Transcript

  • Spearman’s Rank
    Statistical Analysis to show Relationship Strength.
    www.i-study.co.uk
  • 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
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  • SPEARMAN’S RANK CORRELATION COEFFICIENT
    It says …
    It allows us to …
    Compare the
    RANK ORDER
    of TWO Data Sets
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    View slide
  • 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
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    View slide
  • 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-
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  • 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?
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  • 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
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  • 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).
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  • Tasks
    Repeat this exercise for the same countries, but this time replace the birth rate data with the data for life expectancy.
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