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Statistics Guides

Practical guides on statistical analysis methods, APA reporting format, and choosing the right test.

Test Comparison11 min read

ANOVA vs Kruskal-Wallis: When to Use Which Test

A detailed comparison of one-way ANOVA and the Kruskal-Wallis H test for comparing three or more groups. Learn when to choose parametric vs nonparametric, with side-by-side examples and decision criteria.

2026-02-19

APA Reporting2 min read

How to Report Chi-Square Results in APA Format

Step-by-step guide to reporting chi-square test results in APA 7th edition format. Includes independence test, goodness-of-fit, and Fisher's exact test examples.

2026-02-19

Test Comparison11 min read

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 Guide10 min read

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 Guide8 min read

How to Run a One-Way ANOVA: Step-by-Step Guide (With Post-Hoc Tests)

A complete step-by-step guide to performing one-way ANOVA, from checking assumptions to running Tukey's post-hoc test. Includes a worked example with real data.

2026-02-19

How-to Guide8 min read

How to Run a Chi-Square Test of Independence: Step-by-Step Guide

Learn how to perform a chi-square test of independence step by step. Covers setting up contingency tables, calculating expected frequencies, interpreting results, and checking assumptions.

2026-02-19

How-to Guide9 min read

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 Guide11 min read

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 Guide12 min read

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 Guide10 min read

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 Guide10 min read

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 Guide11 min read

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 Guide9 min read

How to Run a T-Test: Step-by-Step Guide (Independent & Paired)

Learn how to run independent samples and paired samples t-tests step by step, from checking assumptions to interpreting results. Includes worked examples with real numbers.

2026-02-19

Analysis Methods3 min read

When to Use Nonparametric Tests: A Practical Guide

Learn when to choose nonparametric tests over parametric alternatives. Covers Mann-Whitney U, Wilcoxon, Kruskal-Wallis, and Friedman tests with real examples.

2026-02-19

Test Comparison12 min read

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

APA Reporting8 min read

How to Report Regression Results in APA Format (With Examples)

Learn how to report simple linear regression and multiple regression results in APA 7th edition format, including R², F-statistic, unstandardized and standardized coefficients, and coefficients tables with worked examples.

2026-02-19

Statistical Guides7 min read

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, and how to use item-total correlations and alpha-if-deleted diagnostics to improve your scales.

2026-02-19

Test Comparison14 min read

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

Test Comparison11 min read

t-Test vs Mann-Whitney U Test — When to Use Which and Why It Matters

A detailed comparison of the independent samples t-test and the Mann-Whitney U test. Learn the assumptions, strengths, limitations, and decision criteria for choosing between parametric and non-parametric group comparisons.

2026-02-19

APA Reporting8 min read

How to Report ANOVA Results in APA Format (With Examples)

Learn how to report one-way ANOVA results in APA 7th edition format, including F statistics, degrees of freedom, partial eta squared, Tukey HSD post-hoc tests, and Welch's F for unequal variances.

2026-02-18

Research Design8 min read

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, and chi-square tests.

2026-02-18

Statistics Basics8 min read

Understanding Effect Sizes — A Complete Guide to Cohen's d, Eta Squared, and More

Learn why p-values are not enough, how to interpret effect sizes like Cohen's d, eta squared, R², and Cramér's V, and how to report them correctly in APA 7th edition format.

2026-02-18

Statistics Basics6 min read

Which Statistical Test Should I Use? — A Complete Guide for Beginners

Not sure which statistical test to use for your data? This beginner-friendly guide walks you through choosing the right test based on your data type, number of groups, and research design.

2026-02-17

Statistics Basics8 min read

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

APA Reporting6 min read

How to Report T-Test Results in APA Format (With Examples)

Learn exactly how to report independent and paired samples t-test results in APA 7th edition format, including effect sizes, degrees of freedom, and common mistakes to avoid.

2026-02-17