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For this reason, we should turn to other types of regression. Control charts - X-bar, R-chart, S-chart, IMR-chart, P-chart, C-chart, U-chart, CUSUM-chart.Sometimes linear regression doesn’t quite cut it – particularly when we believe that our observed relationships are non-linear.Quantile-quantile Q-Q plots for different distributions.Bland-Altman plot with multiple measurements per subject.Sampling (random, periodic, conditional).Report includes: AUC (with confidence intervals), curve coordinates, performance indicators - sensitivity and specificity (with confidence intervals), accuracy, positive and negative predictive values, Youden's J (Youden's index), Precision-Recall plot. Receiver operating characteristic curves analysis (ROC analysis).ĪUC methods - DeLong's, Hanley and McNeil's.LD values (LD50/ED50 and others), cumulative coefficient calculation. Kaplan-Meier (log rank test, hazard ratios).Unit root tests - Dickey–Fuller, Augmented Dickey–Fuller (ADF test), Phillips–Perron (PP test), Kwiatkowski–Phillips–Schmidt–Shin (KPSS test).Tests for heteroscedasticity: Breusch–Pagan test (BPG), Harvey test, Glejser test, Engle's ARCH test (Lagrange multiplier) and White test.Stepwise (forward and backward) regression.Weighted least squares (WLS) regression.Multivariate linear regression (residuals analysis, collinearity diagnostics, confidence and prediction bands).Wilcoxon Matched Pairs Test, Sign Test, Friedman ANOVA, Kendall's W (coefficient of concordance). Mann-Whitney U Test, Kolmogorov-Smirnov test, Wald-Wolfowitz Runs Test, Rosenbaum Criterion. Rank correlations (Kendall Tau, Spearman R, Gamma, Fechner).2x2 tables analysis (Chi-square, Yates Chi-square, Exact Fisher Test, etc.).Within subjects ANOVA and mixed models.Post-hoc comparisons - Bonferroni, Tukey-Kramer, Tukey B, Tukey HSD, Neuman-Keuls, Dunnett.One-way and two-way ANOVA (with and without replications).Multiple definitions for computing quantile statistics.
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