Bland–Altman Agreement Limits
Calculate mean bias and normal-theory limits of agreement from paired-difference summaries.
StatisticsOpen tool ↗THE FEUTEX TOOLKIT
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Lin Concordance Correlation
Measure agreement of two continuous measurements using means, spreads, and Pearson correlation.
StatisticsOpen tool ↗Cronbach Alpha from Variance Summaries
Estimate internal consistency from item count, summed item variances, and total-score variance.
StatisticsOpen tool ↗Spearman–Brown Test Length Projection
Project reliability after changing the length of a parallel-item test.
StatisticsOpen tool ↗Cluster Sampling Design Effect
Estimate sample inflation from average cluster size and within-cluster correlation.
StatisticsOpen tool ↗Finite Population Sample Adjustment
Adjust an infinite-population sample-size requirement for sampling without replacement.
StatisticsOpen tool ↗Zero-Event Upper Risk Bound
Estimate a one-sided event-probability upper bound after observing no events.
StatisticsOpen tool ↗One-Way Intraclass Correlation
Estimate single-measure intraclass correlation from balanced one-way ANOVA mean squares.
StatisticsOpen tool ↗Two-Sample Variance Ratio
Compute an F variance-ratio statistic and degrees of freedom from two samples.
StatisticsOpen tool ↗Cochran Q from Study Summaries
Calculate meta-analysis heterogeneity metrics from Q, study count, and inverse-variance weight sums.
StatisticsOpen tool ↗Inverse-Variance Two-Study Pooling
Combine two independent effect estimates using inverse-variance weighting.
StatisticsOpen tool ↗Partial Correlation Controlling One Variable
Remove one control variable from the relationship between two measured variables.
StatisticsOpen tool ↗Correlation Correction for Attenuation
Estimate a latent correlation under classical independent measurement-error assumptions.
StatisticsOpen tool ↗Standardized Regression Coefficient
Convert a fitted unstandardized slope and its error to standardized units.
StatisticsOpen tool ↗Nested Regression F Comparison
Compare reduced and full least-squares models using residual sums of squares.
StatisticsOpen tool ↗Simple Regression Prediction Interval
Calculate a prediction interval for one new response using regression summary quantities.
StatisticsOpen tool ↗Cook Distance for One Observation
Estimate regression influence from residual, leverage, parameter count, and residual mean square.
StatisticsOpen tool ↗Variance Inflation and Tolerance
Measure coefficient variance inflation from the auxiliary regression R-squared.
StatisticsOpen tool ↗Welch–Satterthwaite Combined Degrees of Freedom
Calculate effective degrees of freedom for a sum of independent estimated variance components.
StatisticsOpen tool ↗AR(1) Effective Sample Size
Approximate the information loss in a mean estimate from positive first-order serial correlation.
StatisticsOpen tool ↗Generalized Pareto Threshold Exceedance
Estimate excess-tail probability and a return-level quantile above a selected threshold.
ProbabilityOpen tool ↗Kumaraswamy Bounded Probability
Evaluate a flexible continuous probability model for a quantity bounded between zero and one.
ProbabilityOpen tool ↗Frechet Maximum Tail Model
Evaluate heavy-tailed maxima using a Frechet shape and scale.
ProbabilityOpen tool ↗Log-Logistic Lifetime Model
Calculate a log-logistic survival curve and instantaneous hazard at a chosen age.
ProbabilityOpen tool ↗Burr XII Tail Distribution
Explore two-shape tail probabilities for positive continuous data.
ProbabilityOpen tool ↗Arcsine Bounded Interval Probability
Calculate probability between two points under the U-shaped arcsine distribution.
ProbabilityOpen tool ↗Two-Group Exponential Survival
Model survival when a population contains two latent groups with different constant rates.
ProbabilityOpen tool ↗Zero-Inflated Poisson Count Model
Estimate zero frequency and overdispersion when a count process has structural zeros.
ProbabilityOpen tool ↗Two-State Markov Equilibrium
Calculate long-run state proportions and persistence for a two-state transition process.
ProbabilityOpen tool ↗Gambler Ruin Hitting Probability
Find the probability that a bounded random walk reaches its upper boundary before zero.
ProbabilityOpen tool ↗Gaussian KL Divergence
Quantify directed divergence between two univariate normal distributions.
StatisticsOpen tool ↗Bernoulli KL Divergence
Measure the information penalty of using one binary event probability in place of another.
StatisticsOpen tool ↗Gaussian Wasserstein Distance
Measure the transport distance between two one-dimensional Gaussian models.
StatisticsOpen tool ↗Gaussian Bhattacharyya Overlap
Calculate a normal-model overlap coefficient based on means and variances.
StatisticsOpen tool ↗2D Mahalanobis Distance
Measure a point displacement while accounting for correlated variable scales.
StatisticsOpen tool ↗Binary Mutual Information from Counts
Measure dependence between two binary variables using a positive 2×2 count table.
StatisticsOpen tool ↗Three-Class Split Impurity
Evaluate Gini impurity and entropy of a node containing three class counts.
StatisticsOpen tool ↗Set Overlap from Cardinalities
Compare two finite sets using their sizes and shared-element count.
StatisticsOpen tool ↗Two-Bin Population Stability Index
Compare the share of observations in two fixed bins between reference and current populations.
StatisticsOpen tool ↗Expected Binary Brier Score
Measure expected squared-probability error from a true binary event rate and a constant forecast.
StatisticsOpen tool ↗Jarque–Bera Normality Statistic
Calculate an asymptotic normality statistic from sample size, skewness, and raw kurtosis.
StatisticsOpen tool ↗Bowley Quartile Skewness
Assess robust asymmetry using the lower quartile, median, and upper quartile.
StatisticsOpen tool ↗Tukey Inner and Outer Fences
Calculate boxplot screening fences from quartiles without deleting observations.
StatisticsOpen tool ↗Freedman–Diaconis Histogram Width
Plan histogram bin width and count from sample size, range, and interquartile range.
StatisticsOpen tool ↗Chebyshev Coverage Guarantee
Bound the fraction outside a selected distance from the mean using only finite variance.
ProbabilityOpen tool ↗Cantelli One-Sided Tail Bound
Bound a one-sided deviation from the mean using variance alone.
ProbabilityOpen tool ↗Markov Nonnegative Tail Bound
Bound exceedance probability for a nonnegative random quantity from its expected value.
ProbabilityOpen tool ↗Empirical CDF Uniform Error Band
Calculate the Dvoretzky–Kiefer–Wolfowitz simultaneous CDF error bound.
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