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Table 1 Notational conventions for all but the appendices

From: Cumulative deviation of a subpopulation from the full population

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) (28)
D Kuiper statistic (13) (13)
\(\Delta _k\) Expected slope of \(F_j - {\tilde{F}}_j\) from \(j = k-1\) to \(j = k\) (10) (29)
\(F_k\) Cumulative response for the subpopulation (5) (25)
\({\tilde{F}}_k\) Cumulative average response for the full population (8) (27)
G Kolmogorov-Smirnov statistic (12) (12)
\(i_k\) Index of an individual from the subpopulation (1) (34)
\(P_k\) Actual prob. of success for a Bernoulli trial in synthetic data (Section "Synthetic") (Section "Synthetic")
\(R_k\) Response—(random) dependent variable, outcome, or result (1) (34)
\({\tilde{R}}_k\) Response for the full population averaged to the subpopulation (6) (26)
\(S_k\) Score—(non-random) independent variable (3) (36)
\(\sigma \) Scale of random fluctuations over the full range of scores (21) or (22) (31) or (32)
\(V_{i_k}\) Estimate of variance in responses for a narrow bin around \(S_{i_k}\) (23) (33)
\(W_k\) Weight (Not applicable) (28)
\(X_k\) Abscissa of the subpopulation for reliability diagrams (3) (36)
\({\tilde{X}}_k\) Abscissa of the full population for reliability diagrams (4) (37)
\(Y_k\) Ordinate of the subpopulation for reliability diagrams (1) (34)
\({\tilde{Y}}_k\) Ordinate of the full population for reliability diagrams (2) (35)
  1. Table 2 summarizes the notation used in the appendices. The symbols in the tables are in alphabetical order