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Friedman test

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The Friedman test is a non-parametric statistical test developed by the U.S. economist Milton Friedman. The procedure involves ranking each row (or block) together, then considering the values of ranks by columns.

[edit] Method

  1. Given data math, that is, a tableau with math rows (the blocks), math columns (the treatments) and a single observation at the intersection of each block and treatment, calculate the ranks within each block. Replace the data with a new tableau math where the entry math is the rank of math within block math.
  2. Find the values:
    • math,
    • math
    • math
    • math
  3. The test statistic is given by math.
  4. Finally, the p-value is given by math.