Statistical methods

Capability organized by research purpose.

Version 5 exposes 36 routed analysis workflows. Availability and validation are stated separately: a method is not described as universally equivalent to another package unless that claim has actually been earned.

36 ROUTED WORKFLOWS
EFFECT SIZES + CIs WHERE APPROPRIATE
DIAGNOSTICS
POST-HOC WORKFLOWS
VALIDATION MATRIX
Analysis Studio

Direct method access remains available.

Research Guide simplifies entry. Analysis Studio keeps the routed method catalogue visible for researchers who already know the analysis they need.

Method atlas

01 / Descriptive

Descriptive StatisticsFrequency DistributionShapiro–Wilk

02 / Comparative

One-Sample T-TestIndependent T-TestPaired T-TestOne-Way ANOVAWelch ANOVALeveneBrown–ForsytheTwo-Way ANOVAMann–Whitney UWilcoxonKruskal–WallisFriedmanSign Test

03 / Association

Chi-SquareFisher ExactMcNemarPearsonSpearmanKendall tau-bCorrelation Matrix

04 / Regression

Linear RegressionMultiple Linear RegressionLogistic RegressionPoisson Regression

05 / Diagnostic

ROCAUCSensitivitySpecificityThreshold TableYouden Index

06 / Survival

Kaplan–MeierCensoringGrouped SurvivalMedian SurvivalLog-Rank Test

07 / Reliability

Cronbach AlphaItem DiagnosticsCohen's KappaBland–Altman

08 / Multivariate + specialized

PCAK-MeansPower AnalysisTime Series / ACF
Validation
Reference posture

Implemented is not the same as independently reference-validated.

The current regression suite distinguishes methods with direct reference checks from methods whose broader equivalence audit remains pending.

Reference validatedValidatedSpearman, Kendall tau-b, one-sample t, Welch independent t, paired t, one-way ANOVA, Welch ANOVA, Levene, Brown–Forsythe, Mann–Whitney, Wilcoxon, Fisher exact, McNemar, logistic regression, Poisson regression, Bland–Altman, Cronbach alpha, tested AUC path.
Validated approximationApproximationShapiro–Wilk in tested cases; AUC confidence interval path uses a validated numerical approximation posture.
Implemented — audit pendingAudit pendingIncludes descriptive/frequency breadth, Pearson matrix-wide equivalence, two-way ANOVA, Kruskal–Wallis, Friedman, Sign, Chi-square, linear and multiple regression, Cohen kappa, PCA, clustering and Kaplan–Meier broad equivalence suites.

Methods remain inspectable.

Research Guide simplifies entry. Analysis Studio keeps the direct route.