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Inter-relationships between variables







                  Question 5




                  Spearman's rank correlation


                  Calculate Spearman’s rank correlation coefficient for the following data.

                    rank set 1     rank set 2
                         5              6
                         1              2
                         3              4
                         6              5
                         2              1
                         4              3

                           6∑d 2
                  R = 1 -
                             2
                          n(n –1)
                                                                  2
                    rank set 1     rank set 2        d           d
                         5              6            –1          1
                         1              2            –1          1
                         3              4            –1          1
                         6              5            1           1
                         2              1            1           1
                         4              3            1           1

                                                        ∑d 2     6
                  R = 1 – (6 × 6)/[6 × (36 – 1)]

                  R = 1 – 36/210 = 0.83






                  Illustrations and further practice


                  Now read illustrations 1 to 3 and try TYUs 1 to 8 from Chapter 10











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