Crosstabs

Fisher's exact test for 2×2 tables. Args: matrix: 2×2 contingency table Returns: Odds ratio, two-sided exact p-value, and large-sample 95% CI

G-test (likelihood ratio test) for contingency tables. Uses the same asymptotic chi-square reference distribution as Pearson's test, so it is not a small-sample exact-test substitute. Args: matrix: Contingency table Returns: G statistic, p-value, effect size

Report this executing statistical runtime; no plugin identity or local configuration.

Goodman-Kruskal's gamma for ordinal association. Args: matrix: Contingency table with ordinal rows and columns Returns: Gamma coefficient with CI

Kendall's tau-b rank correlation. Args: ranks_x: First set of ranks ranks_y: Second set of ranks Returns: Tau coefficient and p-value

Goodman-Kruskal Lambda (proportional reduction in error). Args: matrix: Contingency table Returns: Lambda values (asymmetric and symmetric)

Linear-by-linear association test (Mantel-Haenszel trend test). Args: matrix: Contingency table row_scores: Optional numeric scores for rows (default: 0, 1, 2, ...) col_scores: Optional numeric scores for columns Returns: Z-statistic and p-value for linear trend

McNemar's test for paired categorical data. Args: matrix: 2×2 table of paired, non-negative integer outcome counts Returns: Coherent primary result plus exact and asymptotic secondary details

Monte Carlo estimate of a fixed-margin chi-square p-value. The workload envelope admits at most 100 rows, 100 columns, and 1,000 cells, with a total frequency of 9,007,199,254,740,991. It admits 100,000 simulations and 20,000,000 cell-simulations. Work runs in chunks of at most 512 simulations under a 32 MiB estimated numeric peak and a 30-second server deadline. MCP cancellation is observed between chunks. Args: matrix: Contingency table n_sim: Number of simulations from 1 through 100,000 (default 10000) seed: Random seed for reproducibility Returns: Simulated p-value, obse…

Generate coordinates for mosaic plot visualization. Args: matrix: Contingency table row_labels: Optional labels for rows col_labels: Optional labels for columns Returns: Cell coordinates with residual-based coloring

Calculate the sample odds ratio with a 95% Woolf interval. Args: matrix: [[exposed outcome+, exposed outcome-], [unexposed outcome+, unexposed outcome-]] Returns: JSON-safe estimate, status, interval, and explicit table orientation

Calculate phi coefficient for 2×2 table. Args: matrix: 2×2 contingency table Returns: Phi coefficient and interpretation

Full post-hoc analysis after chi-square test. Includes standardized residuals, adjusted residuals, and chi-square contributions by cell. Args: matrix: Contingency table Returns: Complete post-hoc analysis

Power or sample size calculation for comparing two proportions. Args: p1: Proportion in group 1 p2: Proportion in group 2 n: Sample size per group (if provided, calculates power) alpha: Significance level (default 0.05) power: Target power if calculating sample size (default 0.80) Returns: Two-sided normal-approximation power or required sample size

Calculate confidence interval for a proportion. Args: successes: Number of successes total: Total sample size method: "wilson" (recommended), "agresti", or "normal" Returns: Proportion with 95% CI

Recommend appropriate statistical tests for your data. Args: matrix: Contingency table data_type: "categorical" or "ordinal" Returns: Ranked test recommendations with rationales

Calculate relative risk with 95% confidence interval for 2x2 table. Args: matrix: [[exposed outcome+, exposed outcome-], [unexposed outcome+, unexposed outcome-]] Returns: Relative risk, CI, and individual risks

Calculate exposed-minus-unexposed risk difference for a 2×2 table. Labels the reciprocal absolute difference as NNT for lower exposed risk or NNH for higher exposed risk. Args: matrix: [[exposed outcome+, exposed outcome-], [unexposed outcome+, unexposed outcome-]] Returns: Risk difference, interval, direction, and NNT/NNH when applicable

Somers' D (asymmetric ordinal measure). Args: matrix: Contingency table with ordinal rows and columns Returns: d(Y|X), d(X|Y), and symmetric versions

Spearman's rank correlation coefficient. Args: ranks_x: First set of ranks ranks_y: Second set of ranks Returns: Rho coefficient and p-value

Generate data for stacked bar chart. Args: matrix: Contingency table by_rows: If True, groups are rows; if False, groups are columns row_labels: Optional labels for rows col_labels: Optional labels for columns Returns: Stacked bar chart data with proportions

Calculate adjusted standardized residuals from a contingency table. Values above |2| are nominal cell-level flags. When many cells are inspected, use a multiplicity correction or an adjusted alpha. Args: matrix: Contingency table Returns: Residuals matrix with interpretation

Stuart's tau-c for rectangular ordinal tables. Args: matrix: Contingency table Returns: Tau-c coefficient with standard error and p-value

Uncertainty Coefficient (entropy-based association measure). Args: matrix: Contingency table Returns: Uncertainty coefficients and mutual information

Weighted Cohen's Kappa for ordinal agreement. Args: matrix: Square confusion matrix weights: "linear" or "quadratic" (default) Returns: Weighted kappa with CI and interpretation