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 | ||
\(V_{i_k}\) | 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) |