Given the data
X, ...rankX.....Y.....rankY......d=rx-ry........d²
4.........4...........-5......4................0..............0
53.......3.........-1........3................0...............0
86.......2.........13.......2................0................0
162......1..........16.......1.................0...............0
Then, using the rank correlation formula
p = 1 — 6•Σd² / n(n²—1)
p = 1 - 6• 0 / 4(4²-1)
p = 1 - 0
p = 1
So, the rank correlation is 1, this means that the two variables being compared are monotonically related, even if their relationship is not linear.
