Statistical Tables

Complete statistical reference tables with lookup guides. Use for hypothesis testing, confidence intervals, and probability calculations.

Intermediate

Lilliefors Test Table

The Lilliefors Test Table provides critical D values for normality testing when the population mean and standard deviation are estimated from the sample.

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Intermediate

Hartley's Fmax Table

The Hartley Fmax Table provides critical values for testing homogeneity of variance across groups using the maximum-to-minimum variance ratio.

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Intermediate

Cohen's Kappa Table

The Cohen's Kappa Table provides interpretation guidelines, critical values, formulas, and examples for measuring agreement between two raters beyond chance.

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Intermediate

Noncentral t Distribution Table

The Noncentral t Distribution Table provides probabilities and critical values based on degrees of freedom (ν) and the noncentrality parameter (λ).

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Intermediate

Geometric Distribution Table

The Geometric Distribution Table provides probabilities for the number of trials needed to achieve the first success in a sequence of independent Bernoulli trials.

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Intermediate

Exponential Distribution Table

The Exponential Distribution Table provides cumulative probabilities and related values for modeling waiting times and the time between events in a Poisson process.

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Intermediate

Control Chart Constants Table

The Control Chart Constants Table provides A2, D3, D4, d2, and related constants used to calculate control limits for X-bar, R, and other statistical process control charts.

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Intermediate

Negative Binomial Distribution Table

The Negative Binomial Distribution Table provides probabilities for the number of trials or failures required to achieve a specified number of successes in repeated independent trials.

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Intermediate

Acceptance Sampling Table

The Acceptance Sampling Table provides sample sizes, acceptance numbers, and related values used to determine whether a batch or lot meets specified quality requirements.

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Intermediate

Hypergeometric Distribution Table

The Hypergeometric Distribution Table provides probabilities for sampling successes from a finite population without replacement.

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Intermediate

Kendall's Tau Critical Value Table

The Kendall's Tau Critical Value Table provides critical values for testing the significance of the association between ranked variables using Kendall's tau.

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Advanced

Durbin-Watson Table

The Durbin-Watson Table provides critical values used to test for autocorrelation in the residuals of regression models.

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Intermediate

Fisher's Z Transformation Table

The Fisher's Z Transformation Table provides values for converting correlation coefficients into Fisher's z scores for statistical analysis and inference.

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Beginner

Standard Normal Table: Right Tail

The Standard Normal Table for the right tail provides probabilities and critical values for the area to the right of a given z-score in the standard normal distribution.

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Intermediate

Spearman Footrule Table

The Spearman Footrule Table provides critical values for evaluating rank differences using the Spearman footrule statistic.

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Intermediate

Sign Test Table

The Sign Test Table provides critical values for the Sign Test, helping determine whether paired observations differ significantly without assuming a normal distribution.

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Intermediate

Kolmogorov-Smirnov (K-S) Table

The Kolmogorov-Smirnov (K-S) Table provides critical values for the K-S test, helping assess whether a sample follows a specified probability distribution.

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Intermediate

Runs Test Table

The Runs Test Table provides critical values for the Runs Test, helping evaluate whether the order of observations in a sequence is random.

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Intermediate

Duncan's Multiple Range Table

Duncan's Multiple Range Table provides critical values for Duncan's Multiple Range Test, helping identify which group means differ significantly after ANOVA.

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Intermediate

Kruskal-Wallis Critical Value Table

The Kruskal-Wallis Critical Value Table provides cutoff values for the Kruskal-Wallis test, helping determine whether differences among three or more independent groups are statistically significant.

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Intermediate

Friedman Test Table

The Friedman Test Table provides critical values for the Friedman test, helping compare three or more related groups when the assumptions of repeated-measures ANOVA are not met.

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Intermediate

Newman-Keuls Table

The Newman-Keuls Table provides critical values for the Student-Newman-Keuls (SNK) test, helping identify significant differences between group means following ANOVA.

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Intermediate

Cochran's Q Table

Cochran's Q Table provides critical values for Cochran's Q test, helping researchers analyze differences between three or more related proportions across various significance levels.

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Intermediate

Levene's Test Table

Levene's Test Table provides critical values for Levene's test, helping researchers assess the equality of variances across multiple groups before performing statistical analyses.

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Intermediate

Anderson-Darling Table

Anderson-Darling Table provides critical values for the Anderson-Darling goodness-of-fit test, helping researchers determine whether a dataset follows a specified probability distribution.

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Intermediate

Grubbs Test Table

Grubbs Test Table provides critical values for Grubbs' outlier test, helping researchers identify a single outlier in normally distributed datasets at various significance levels.

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Intermediate

McNemar Test Table

McNemar Test Table provides critical values for McNemar's test, allowing researchers to evaluate changes in paired categorical data and determine statistical significance.

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Intermediate

Dixon's Q Table

Dixon's Q Table provides critical values for Dixon's Q test, helping researchers identify potential outliers in small datasets while maintaining a specified significance level.

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Intermediate

Scheffé Test Table

Scheffé Test Table provides critical values for Scheffé's multiple comparison procedure, allowing researchers to identify significant differences among group means after an ANOVA while controlling the family-wise error rate.

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Beginner

Random Digit Table

Random Digit Table provides randomly generated digits for use in probability, sampling, simulations, experimental design, and statistical research where unbiased random selection is required.

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Advanced

Log-Rank Test Table

Log-Rank Test Table provides critical values used to compare survival distributions between two or more groups, supporting hypothesis testing in survival and reliability analysis.

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Intermediate

Weibull Reliability Table

Weibull Reliability Table provides reliability and cumulative failure probabilities for Weibull distributions, supporting life testing, reliability engineering, and failure time analysis.

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Intermediate

Bonferroni Adjusted Critical Value Table

Bonferroni Adjusted Critical Value Table provides adjusted significance levels for multiple hypothesis testing, helping control the family-wise error rate by applying the Bonferroni correction across different numbers of comparisons.

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Intermediate

Spearman Correlation Table

Spearman Correlation Table provides critical values for Spearman’s rank correlation coefficient (ρ), helping determine the statistical significance of relationships between ranked variables across different sample sizes and significance levels.

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Intermediate

Tukey's Q Table

Tukey's Q Table provides critical q values for performing Tukey’s Honestly Significant Difference (HSD) test, helping determine whether differences between group means are statistically significant across various significance levels and degrees of freedom.

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Intermediate

Wilcoxon Signed-Rank Table

Wilcoxon Signed-Rank Table provides critical W values for determining the statistical significance of paired-sample differences in the Wilcoxon signed-rank test across different sample sizes and significance levels.

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Intermediate

Pearson Correlation Table

Pearson Correlation Table provides critical r values for determining the statistical significance of Pearson correlation coefficients across different degrees of freedom and significance levels.

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Intermediate

Mann-Whitney U Table

Mann-Whitney U Table provides critical values for comparing two independent samples using the non-parametric Mann-Whitney U test across different sample sizes and significance levels.

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Intermediate

Poisson Distribution Table

Poisson Distribution Table provides probability values for discrete rare events using λ (lambda) and x values for probability and cumulative calculations.

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Advanced

Dunnett’s Table

Dunnett’s Table provides critical values to compare multiple treatments with a control after ANOVA using k, df, and α levels (0.10, 0.05, 0.01).

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Intermediate

Binomial Distribution Table

Complete binomial table showing exact P(X = k) and cumulative P(X ≤ k) for n = 1–20 and p = 0.05–0.95. Includes calculator, PDF download, and step-by-step guide.

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Beginner

Z-Table (Standard Normal)

The complete standard normal distribution table (Z-table). Look up cumulative probabilities for any Z-score from -3.99 to +3.99. Includes left-tail and right-tail variants.

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Intermediate New

t-Distribution Table

Critical values for the Student's t-distribution. Look up t-values for any combination of degrees of freedom and significance level (α = 0.10, 0.05, 0.01, 0.001).

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Intermediate Live

Chi-Square Table

Chi-square critical values for goodness-of-fit tests, independence tests, and confidence intervals for variance. Covers degrees of freedom 1–100.

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Intermediate Live

F Table

F distribution critical values for ANOVA and variance ratio tests. Includes alpha levels 0.10, 0.05, and 0.01, PDF downloads, and an interactive calculator.

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Intermediate Live

Kruskal-Wallis Table

Kruskal-Wallis critical values for H statistics, degrees of freedom, and significance levels. Includes α = 0.10, 0.05, and 0.01 with guidance for making rejection decisions.

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Intermediate Live

Fisher's Exact Test Table

Understand 2×2 contingency tables, observed cell counts, and exact p-values calculated from the hypergeometric distribution. Explains why Fisher's exact test does not use a universal critical-value table.

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Intermediate Live

Effect Size Table

Cohen's d effect size thresholds and interpretation, including small, medium, and large effects. Includes the pooled standard deviation formula and six worked examples.

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Intermediate Live

Shapiro-Wilk Critical Value Table

Shapiro-Wilk W critical values by sample size and significance level. Learn how to compare your calculated W with the critical value and interpret evidence against normality.

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