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Statistics Tools
64 tools in this collection. Choose a task below or search the complete FeuTex toolkit.
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2D Mahalanobis Distance
Measure a point displacement while accounting for correlated variable scales.
Open tool →Statistics2×2 Independence Statistic
Calculate Pearson’s independence statistic and signed association for a two-by-two count table.
Open tool →StatisticsAdjusted R-Squared and Residual Scale
Adjust regression R-squared for predictor count and calculate residual scale and degrees of freedom.
Open tool →StatisticsAR(1) Conditional Forecast
Project a stationary autoregressive series and its innovation variance over a horizon.
Open tool →StatisticsAR(1) Effective Sample Size
Approximate the information loss in a mean estimate from positive first-order serial correlation.
Open tool →StatisticsBernoulli KL Divergence
Measure the information penalty of using one binary event probability in place of another.
Open tool →StatisticsBinary Classification Scorecard
Evaluate precision, recall, specificity, F1 and Matthews correlation from a binary confusion matrix.
Open tool →StatisticsBinary Mutual Information from Counts
Measure dependence between two binary variables using a positive 2×2 count table.
Open tool →StatisticsBinary Rater Agreement
Compare observed agreement with chance agreement and calculate Cohen’s kappa for two binary raters.
Open tool →StatisticsBland–Altman Agreement Limits
Calculate mean bias and normal-theory limits of agreement from paired-difference summaries.
Open tool →StatisticsBowley Quartile Skewness
Assess robust asymmetry using the lower quartile, median, and upper quartile.
Open tool →StatisticsCluster Sampling Design Effect
Estimate sample inflation from average cluster size and within-cluster correlation.
Open tool →StatisticsCochran Q from Study Summaries
Calculate meta-analysis heterogeneity metrics from Q, study count, and inverse-variance weight sums.
Open tool →StatisticsCook Distance for One Observation
Estimate regression influence from residual, leverage, parameter count, and residual mean square.
Open tool →StatisticsCorrelated Measurement Uncertainty
Propagate correlated standard uncertainties through a sum, difference and product.
Open tool →StatisticsCorrelation Correction for Attenuation
Estimate a latent correlation under classical independent measurement-error assumptions.
Open tool →StatisticsCorrelation Fisher Interval
Construct an approximate Fisher-transformed confidence interval for a Pearson correlation.
Open tool →StatisticsCronbach Alpha from Variance Summaries
Estimate internal consistency from item count, summed item variances, and total-score variance.
Open tool →StatisticsDescriptive Statistics
Summarize a numeric sample with count, mean, median, sample standard deviation and range.
Open tool →StatisticsEmpirical CDF Uniform Error Band
Calculate the Dvoretzky–Kiefer–Wolfowitz simultaneous CDF error bound.
Open tool →StatisticsExpected Binary Brier Score
Measure expected squared-probability error from a true binary event rate and a constant forecast.
Open tool →StatisticsExponential Smoothing Forecast Update
Update a simple level forecast from one new observation and a smoothing weight.
Open tool →StatisticsFinite Population Sample Adjustment
Adjust an infinite-population sample-size requirement for sampling without replacement.
Open tool →StatisticsFreedman–Diaconis Histogram Width
Plan histogram bin width and count from sample size, range, and interquartile range.
Open tool →StatisticsFrequency Table Builder
Count exact categorical values and show their percentage share.
Open tool →StatisticsGaussian Bhattacharyya Overlap
Calculate a normal-model overlap coefficient based on means and variances.
Open tool →StatisticsGaussian KL Divergence
Quantify directed divergence between two univariate normal distributions.
Open tool →StatisticsGaussian Wasserstein Distance
Measure the transport distance between two one-dimensional Gaussian models.
Open tool →StatisticsHistogram Bin Counter
Count values into equal-width bins and export the bin boundaries and frequencies.
Open tool →StatisticsHolt Linear Trend Forecast Step
Update a level and trend then project a selected number of steps forward.
Open tool →StatisticsInverse-Variance Two-Study Pooling
Combine two independent effect estimates using inverse-variance weighting.
Open tool →StatisticsJarque–Bera Normality Statistic
Calculate an asymptotic normality statistic from sample size, skewness, and raw kurtosis.
Open tool →StatisticsLikelihood Information Criteria
Calculate AIC, small-sample AICc and BIC from a fitted model’s likelihood and parameter count.
Open tool →StatisticsLin Concordance Correlation
Measure agreement of two continuous measurements using means, spreads, and Pearson correlation.
Open tool →StatisticsLinear Regression
Fit y = intercept + slope × x to paired observations and report R².
Open tool →StatisticsMcNemar Paired Discordance
Inspect corrected and uncorrected McNemar statistics from paired discordant outcomes.
Open tool →StatisticsMean Confidence Interval from Summary
Construct a mean confidence interval from summary statistics and a supplied t critical value.
Open tool →StatisticsMean Precision Sample Size
Estimate the sample count needed for a target mean-estimation precision with known variability.
Open tool →StatisticsMerge Two Sample Summaries
Combine two disjoint sample summaries into one count, mean and sample variance.
Open tool →StatisticsMoving Average Series
Smooth a numeric time series using a trailing simple moving average of your chosen window.
Open tool →StatisticsMultiple-Testing Error Budget
Allocate a family-wise error budget and adjust one p-value using Bonferroni’s method.
Open tool →StatisticsNested Regression F Comparison
Compare reduced and full least-squares models using residual sums of squares.
Open tool →StatisticsOne-Way ANOVA Summary
Build one-way ANOVA statistics and effect size from between-group and within-group sums of squares.
Open tool →StatisticsOne-Way Intraclass Correlation
Estimate single-measure intraclass correlation from balanced one-way ANOVA mean squares.
Open tool →StatisticsPaired Difference Test Statistic
Calculate a paired-sample test statistic from the mean and standard deviation of paired differences.
Open tool →StatisticsPartial Correlation Controlling One Variable
Remove one control variable from the relationship between two measured variables.
Open tool →StatisticsPooled Standardized Mean Difference
Compare group means in pooled-standard-deviation units using two independent sample summaries.
Open tool →StatisticsProcess Capability Indices
Compare a stable process with specification limits using Cp, Cpk and one-sided capability indices.
Open tool →StatisticsSet Overlap from Cardinalities
Compare two finite sets using their sizes and shared-element count.
Open tool →StatisticsSimple Regression Prediction Interval
Calculate a prediction interval for one new response using regression summary quantities.
Open tool →StatisticsSpearman–Brown Test Length Projection
Project reliability after changing the length of a parallel-item test.
Open tool →StatisticsStandardized Regression Coefficient
Convert a fitted unstandardized slope and its error to standardized units.
Open tool →StatisticsThree-Class Split Impurity
Evaluate Gini impurity and entropy of a node containing three class counts.
Open tool →StatisticsTukey Inner and Outer Fences
Calculate boxplot screening fences from quartiles without deleting observations.
Open tool →StatisticsTwo-Bin Population Stability Index
Compare the share of observations in two fixed bins between reference and current populations.
Open tool →StatisticsTwo-Group Event Association
Compare two groups using risk ratio, risk difference, odds ratio and log-odds uncertainty.
Open tool →StatisticsTwo-Proportion Z Statistic
Calculate the pooled large-sample z statistic comparing two independent event proportions.
Open tool →StatisticsTwo-Sample Variance Ratio
Compute an F variance-ratio statistic and degrees of freedom from two samples.
Open tool →StatisticsVariance Inflation and Tolerance
Measure coefficient variance inflation from the auxiliary regression R-squared.
Open tool →StatisticsWeight Effective Sample Size
Estimate weight-based effective sample size and efficiency from sums of weights and squared weights.
Open tool →StatisticsWelch Two-Sample Test Statistic
Calculate Welch’s two-sample statistic and approximate degrees of freedom from group summaries.
Open tool →StatisticsWelch–Satterthwaite Combined Degrees of Freedom
Calculate effective degrees of freedom for a sum of independent estimated variance components.
Open tool →StatisticsWilson Proportion Interval
Calculate a Wilson score confidence interval for a proportion from successes and trials.
Open tool →StatisticsZero-Event Upper Risk Bound
Estimate a one-sided event-probability upper bound after observing no events.
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