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Table 1 Notational conventions (The symbols in the table are in alphabetical order.)

From: A graphical method of cumulative differences between two subpopulations

Symbol Meaning Equation for the unweighted case Equation for the case with weights
\(A_k\) Abscissa for the cumulative graph in the case with weights (Not applicable) (16)
\(C_k\) Cumulative average difference between the subpopulations (3) (15)
\(D_k\) Average difference between the subpopulations (1) and (2) (1) and (2)
\(\Delta _k\) Expected slope of \(C_j\) from \(j = k\) to \(j = k+1\) (6) (20)
G Kolmogorov-Smirnov statistic (11) (11)
H Kuiper statistic (12) (12)
\(R^j_k\) (Average) response for subpopulation j’s kth block—random dependent variable, outcome, or result (Step 4 within section “Unweighted sampling”) (Readjusted in section “Weighted sampling”)
\(S^j_k\) (Average) score for subpopulation j’s kth block—non-random independent variable (Step 4 within section “Unweighted sampling”) (Readjusted in section “Weighted sampling”)
\(\sigma\) Scale of random fluctuations over the full range of scores (13) (21)
\(T_k\) Total weight for \(R^0_{k/2}\) or \(R^1_{(k-1)/2}\) (Not applicable) (14)
\(W_k\) Aggregated weight (Not applicable) (14)