Statistics Guides
Practical guides on statistical analysis methods, APA reporting format, and choosing the right test.
How to Report Cronbach's Alpha in APA 7th Edition — Reliability, Item Analysis & Interpretation
Complete guide to reporting Cronbach's alpha reliability in APA 7th edition format. Includes interpretation benchmarks (.70, .80, .90), item-total correlations, alpha-if-item-deleted analysis, and copy-paste APA templates with a free online calculator.
2026-03-26
How to Report Fisher's Exact Test in APA 7th Edition — When to Use, Effect Size & Examples
Step-by-step guide to reporting Fisher's exact test in APA 7th edition format. When to use Fisher's vs chi-square, Cramér's V and odds ratio effect sizes, 2x2 and larger table examples, and a free online calculator.
2026-03-26
How to Report Friedman Test in APA 7th Edition — Effect Size, Post-Hoc & Examples
Step-by-step guide to reporting Friedman test results in APA 7th edition. Kendall's W effect size, Nemenyi/Conover post-hoc tests, and copy-paste APA templates with a free calculator.
2026-03-26
How to Report P-Values in APA 7th Edition — Rules, Examples & Common Mistakes
Complete guide to reporting p-values in APA 7th edition format. Exact p-values vs p < .001, leading zeros, rounding rules, and copy-paste examples for t-tests, ANOVA, chi-square, correlation, and regression.
2026-03-26
How to Report Kruskal-Wallis Test in APA 7th Edition — Effect Size, Post-Hoc & Examples
Complete guide to reporting Kruskal-Wallis H test results in APA 7th edition format. Epsilon squared effect size, Dunn's post-hoc test with Bonferroni correction, and copy-paste APA templates with a free online calculator.
2026-03-26
How to Report Logistic Regression in APA 7th Edition — Odds Ratio, Wald Test & Model Fit
Step-by-step guide to reporting binary logistic regression in APA 7th edition format. Odds ratios with confidence intervals, Wald chi-square, Nagelkerke R², classification accuracy, and copy-paste APA templates.
2026-03-26
How to Report Mann-Whitney U Test in APA 7th Edition — Effect Size, Z-Score & Examples
Complete guide to reporting Mann-Whitney U test results in APA 7th edition format. Includes rank-biserial correlation effect size, Z-score, exact vs asymptotic p-values, and copy-paste APA templates with a free online calculator.
2026-03-26
How to Report McNemar Test in APA 7th Edition — Paired Proportions & Examples
Complete guide to reporting McNemar test for paired nominal data in APA 7th edition. Exact vs asymptotic test, odds ratio, and copy-paste APA templates with a free calculator.
2026-03-26
How to Report Linear Regression in APA 7th Edition — R², Beta, F-Test & Examples
Complete guide to reporting simple and multiple linear regression in APA 7th edition. R-squared, standardized beta coefficients, F-test, assumption checks, and copy-paste APA templates.
2026-03-26
How to Report Wilcoxon Signed-Rank Test in APA 7th Edition — Effect Size & Examples
Step-by-step guide to reporting Wilcoxon signed-rank test in APA 7th edition. Z-score, effect size r, exact vs asymptotic p-values, and paired non-parametric APA templates.
2026-03-26
Which Statistical Test Should I Use? — A Complete Decision Guide
Not sure which statistical test to use? This comprehensive guide provides a decision framework based on variable types, group counts, and research design, covering parametric tests, non-parametric alternatives, assumption checking, and common selection mistakes.
2026-03-09
How to Determine Sample Size — A Practical Guide to Power Analysis
How many participants do you actually need? This guide explains statistical power analysis and walks you through sample size calculation for t-tests, ANOVA, correlation, regression, and chi-square tests, with formulas, tables, and common mistakes to avoid.
2026-03-09
How to Report Correlation Results in APA Format
Report Pearson r and Spearman correlation results in APA 7th edition format. Includes correlation matrix tables, r-value interpretation, and copy-ready reporting examples.
2026-03-07
How to Report Descriptive Statistics in APA Format: M, SD, Range & Tables (7th Edition)
Complete guide to reporting means, standard deviations, frequencies, and percentages in APA 7th edition format. Includes table templates, in-text examples, and a formatting checklist.
2026-03-07
How to Report Fisher's Exact Test in APA Format: Odds Ratio, CI & Small Sample Guide
How to report Fisher's exact test in APA 7th edition. Odds ratio, confidence intervals, phi & Cramer's V effect sizes, Freeman-Halton extension & copy-paste templates.
2026-03-07
How to Check Normality: Shapiro-Wilk Test Guide
Check the normality assumption using Shapiro-Wilk, Kolmogorov-Smirnov, and Q-Q plots. Learn how to interpret results, report in APA format, and what to do when data is not normal.
2026-03-07
How to Report One-Sample t-Test in APA Format: Step-by-Step Guide With Examples
Learn how to report one-sample t-test results in APA 7th edition format. Includes Cohen's d effect size, confidence intervals, one-tailed vs two-tailed tests, assumptions, common mistakes, and copy-ready reporting examples.
2026-03-07
How to Report Two-Way ANOVA Results in APA Format: Main Effects, Interaction & Post-Hoc
Step-by-step guide to reporting two-way (factorial) ANOVA in APA 7th edition. Covers main effects, interaction effects, partial eta-squared, simple effects analysis, assumptions, and copy-ready examples.
2026-03-07
How to Interpret p-Values: A Practical Guide With Examples & Common Mistakes
Learn what p-values actually mean, how to interpret p < .05 correctly, common misinterpretations to avoid, and how to report p-values in APA 7th edition format with examples.
2026-03-07
How to Report Cohen's d in APA Format (With Examples and Benchmarks)
Complete guide to reporting Cohen's d effect size in APA 7th edition format. Includes interpretation benchmarks, Glass's delta, Hedges' g, confidence intervals, conversion formulas, and copy-paste templates for t-tests and ANOVA post-hoc comparisons.
2026-03-04
How to Report Exploratory Factor Analysis (EFA) in APA 7th Edition — Standards, Templates & Examples
APA 7th edition reporting standards for exploratory factor analysis results. KMO & Bartlett's test, factor loadings table, rotation methods (Varimax vs Promax), communalities, EFA vs CFA comparison, and free copy-paste APA templates.
2026-03-04
How to Report Repeated Measures ANOVA in APA 7th Edition — Partial Eta Squared, Sphericity & Effect Size
Complete guide to reporting repeated measures ANOVA results in APA 7th edition. Partial eta squared effect size interpretation, Mauchly's sphericity test, Greenhouse-Geisser correction, Bonferroni post-hoc, and copy-paste APA templates with a free calculator.
2026-03-02
When to Use ANOVA vs Kruskal-Wallis (Decision Guide)
Choose between ANOVA and Kruskal-Wallis H test with a 3-step decision flowchart. Compare assumptions, power, post-hoc tests, and see APA reporting examples for both.
2026-02-19
How to Report Chi-Square Results in APA Format
Report chi-square test results in APA 7th edition with copy-ready examples. Covers test of independence, goodness-of-fit, Cramer's V effect size, and expected frequency tables.
2026-02-19
Chi-Square Test vs Fisher's Exact Test — Which Should You Use?
A comprehensive comparison of the Chi-square test of independence and Fisher's exact test. Learn when to use each test, understand expected frequency rules, and see worked examples with StatMate calculators.
2026-02-19
How to Calculate Sample Size for Your Study — A Step-by-Step Power Analysis Guide
Learn how to determine the right sample size for your research using power analysis. This guide covers effect size, significance level, statistical power, and practical examples with StatMate's sample size calculator.
2026-02-19
How to Run ANOVA Step by Step (With Post-Hoc Tests)
Run a one-way ANOVA step by step: check assumptions, calculate F-statistic, and perform Tukey's post-hoc test. Includes a worked example with real data and free calculator.
2026-02-19
How to Run a Chi-Square Test Step by Step
Run a chi-square test of independence step by step: build a contingency table, calculate expected frequencies, interpret the p-value, and check assumptions. Free calculator included.
2026-02-19
How to Run Correlation Analysis: Step-by-Step Guide (Pearson & Spearman)
A complete step-by-step guide to performing Pearson and Spearman correlation analysis. Learn when to use each method, how to calculate and interpret correlation coefficients, and common pitfalls to avoid.
2026-02-19
How to Run Exploratory Factor Analysis (EFA) — Step-by-Step Guide
Learn how to perform Exploratory Factor Analysis from start to finish. This guide covers data suitability checks, factor extraction, rotation, and interpreting factor loadings with a practical example.
2026-02-19
How to Run Logistic Regression: Step-by-Step Guide
Learn how to perform binary logistic regression from checking assumptions to interpreting odds ratios. Includes worked examples with real data, model diagnostics, and practical tips for researchers.
2026-02-19
How to Run a Mann-Whitney U Test — A Complete Step-by-Step Guide
Learn how to perform the Mann-Whitney U test, the non-parametric alternative to the independent samples t-test. This guide covers when to use it, assumptions, step-by-step calculation, and result interpretation with StatMate.
2026-02-19
How to Run Simple Linear Regression: Step-by-Step Guide
A complete step-by-step guide to performing simple linear regression analysis. Learn how to fit a regression line, check assumptions, interpret coefficients, and assess model fit with a worked example.
2026-02-19
How to Run Repeated Measures ANOVA: Step-by-Step Guide
A complete walkthrough of repeated measures ANOVA, from checking sphericity to running post-hoc pairwise comparisons. Includes example data, calculations, and interpretation guidance.
2026-02-19
How to Run a T-Test Step by Step (With Examples)
Run an independent or paired samples t-test step by step: check assumptions, calculate the test statistic, interpret p-values, and report results. Free online calculator included.
2026-02-19
When to Use Nonparametric Tests: A Complete Practical Guide
Learn when to choose nonparametric tests over parametric alternatives. Covers Mann-Whitney U, Wilcoxon signed-rank, Kruskal-Wallis, Friedman, and Spearman correlation with APA reporting examples, effect sizes, and common mistakes.
2026-02-19
Paired T-Test vs Wilcoxon Signed-Rank Test: A Practical Comparison
Understand when to use the paired t-test versus the Wilcoxon signed-rank test for paired samples. Includes assumption checks, worked examples with the same dataset, and guidelines for choosing between them.
2026-02-19
Reliability Analysis and Cronbach's Alpha — A Practical Guide for Researchers
Learn what reliability means in research, how Cronbach's alpha measures internal consistency, how to interpret alpha values, item-total correlations, alpha-if-deleted diagnostics, McDonald's omega, split-half reliability, and how to report reliability for subscales in APA 7th edition format.
2026-02-19
Simple vs Multiple Regression: When to Use Each
A comprehensive comparison of simple linear regression and multiple regression. Learn about model selection, multicollinearity, adjusted R-squared, and when adding predictors helps versus hurts your model.
2026-02-19
When to Use T-Test vs Mann-Whitney U Test
Choose between t-test and Mann-Whitney U with a clear decision flowchart. Compare assumptions, statistical power, effect sizes, and APA 7th edition reporting examples side by side.
2026-02-19
How to Report ANOVA Results in APA 7th Edition — Partial Eta Squared Effect Size, F-Statistic & Post-Hoc
Step-by-step guide to reporting one-way ANOVA in APA 7th edition format. Includes partial eta squared (ηp²) effect size interpretation, F-statistic template, Tukey HSD post-hoc examples, and a free online calculator.
2026-02-18
How to Interpret Effect Size: Cohen's d, Eta Squared, R²
Interpret Cohen's d (0.2, 0.5, 0.8), partial eta squared (.01, .06, .14), R², and Cramer's V with clear benchmarks. Includes APA 7th edition reporting examples for each measure.
2026-02-18
Correlation vs Regression — When to Use Which?
Understand the key differences between correlation and regression analysis, when each is appropriate, and how to interpret their results correctly in your research.
2026-02-17
How to Report T-Test Results in APA 7th Edition
Report t-test results in APA format with copy-ready examples for independent and paired samples. Includes Cohen's d, confidence intervals, and common formatting mistakes.
2026-02-17