# Table 1 Notational conventions for all but the appendices

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 