Monotonic measures of agreement for ranked data

The τ_b and y statistics are interpreted as rank-monotonic coefficients of partial agreement. Using a method of transposition employed by Pearson's r_i intraclass correlation coefficient, the τ_bi and y_i intraclass coefficients of total monotonic agreement are created. Transpositional measures of agreement like τ_bi and τ_i measure the combined effects of cell and marginal disagreement which make them particularly suitable for reliability studies. The coefficients are also made applicable to K > 2 sets of ranks.