How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Calculate the Geometric Mean: Step-by-Step Guide
Calculate the geometric mean step-by-step. Learn the nth root formula, logarithmic method, and see a worked example. Understand its use for growth rates.
Read guideHow to Calculate Moving Average: Step-by-Step Guide
Learn to manually calculate Simple Moving Average with this step-by-step guide. Understand the formula, worked example, common pitfalls, and when to use a calculator.
Read guideHow to Calculate F-Distribution Values Manually: Step-by-Step Guide
Learn to manually calculate F critical values and estimate p-values for ANOVA tests using F-distribution tables. Understand the underlying formulas and decision rules.
Read guideHow to Calculate the Chi-Square Test for Independence: Step-by-Step Guide
Learn to manually calculate the Chi-Square test for independence between categorical variables. Includes formula, worked example, and common pitfalls.
Read guideHow to Calculate a Paired t-Test: Step-by-Step Guide
Learn to manually calculate a paired t-test to compare means of two related samples. Includes formula, worked example, and interpretation guidance.
Read guideConfidence Level Calculator: How to Construct a Confidence Interval
Learn to manually calculate confidence intervals for population parameters. Understand confidence levels, critical values, and interpretation with a step-by-step guide and example.
Read guideHow to Calculate Required Sample Size for Statistical Power: A Manual Guide
Learn to manually calculate the minimum sample size needed for a hypothesis test to achieve desired statistical power. Understand effect size, alpha, and Z-scores.
Read guideHow to Calculate Effect Size: Step-by-Step Guide
Learn to manually calculate Cohen's d effect size for comparing two groups. Understand the formula, prerequisites, and common pitfalls with a worked example.
Read guideHow to Calculate P-Values for Hypothesis Testing: Step-by-Step Guide
Learn to manually calculate p-values from Z, T, and Chi-Square test statistics. Understand formulas, interpret results, and avoid common pitfalls.
Read guideHow to Calculate P-values in Hypothesis Testing: A Step-by-Step Guide
Master manual p-value calculation for Z, T, and Chi-square tests. Understand formulas, interpret results, and avoid common pitfalls in hypothesis testing.
Read guideHow to Calculate Outliers Using the IQR Method: Step-by-Step Guide
Learn to manually calculate outliers using the Interquartile Range (IQR) method. Understand Q1, Q3, IQR, whisker bounds, and identify anomalies in your dataset.
Read guideHow to Calculate Roots (Square, Cube, Nth): Step-by-Step Guide
Learn to manually calculate square roots, cube roots, and nth roots using estimation and refinement. Understand the formula, common pitfalls, and when to use a calculator.
Read guideHow to Manually Check Divisibility Rules (2-12)
Learn to manually check divisibility by numbers 2 through 12 using step-by-step rules. Understand the underlying math and avoid common pitfalls.
Read guideHow to Manually Calculate Set Operations: Union, Intersection, Difference, and Symmetric Difference
Learn to manually calculate set union, intersection, difference, and symmetric difference. Includes formulas, examples, and common pitfalls.
Read guideHow to Calculate Proportions: Step-by-Step Guide
Learn to manually calculate proportions and find missing values using cross-multiplication. Understand the formula, worked examples, and common pitfalls.
Read guideHow to Perform 2x2 Matrix Operations: A Step-by-Step Guide
Master 2x2 matrix operations: determinant, inverse, addition, and multiplication. Learn formulas, see examples, and avoid common pitfalls.
Read guideHow to Understand and Relate Type I & II Errors, Alpha, Beta, and Statistical Power: A Step-by-Step Guide
Master Type I & II errors (alpha, beta), statistical power, effect size, and sample size. Learn their relationships and how to interpret them in hypothesis testing.
Read guideHow to Calculate the Mann-Whitney U Test: Step-by-Step Guide
Learn to manually calculate the Mann-Whitney U test for non-parametric group comparisons. Understand the formula, work through an example, and avoid common errors.
Read guideHow to Perform an F-Test Calculation Manually: A Step-by-Step Guide
Learn to calculate F-test manually
Read guideHow to Calculate One-Way ANOVA: Step-by-Step Guide
Perform One-Way ANOVA manually
Read guideHow to Calculate Cronbach's Alpha: Step-by-Step Guide
Calculate Cronbach's Alpha manually
Read guideHow to Calculate Probability: Step-by-Step Guide
Calculate probability manually
Read guideHow to Calculate the Trimmed Mean: Step-by-Step Guide
Calculate the trimmed mean by hand
Read guideHow to Calculate Statistical Power: Step-by-Step Guide
Calculate statistical power manually
Read guideHow to Calculate Linear Regression: Step-by-Step Guide
Learn linear regression calculation by hand
Read guideHow to Calculate Interquartile Range (IQR): Step-by-Step Guide
Calculate IQR manually with our step-by-step guide
Read guideHow to Calculate Weighted Average: Step-by-Step Guide
Calculate weighted mean with custom weights
Read guideHow to Calculate the Harmonic Mean: A Step-by-Step Guide
Calculate harmonic mean manually
Read guideHow to Calculate the Geometric Mean: Step-by-Step Guide
Calculate the geometric mean manually
Read guideHow to Calculate Poisson Probabilities: Step-by-Step Guide
Learn to manually calculate Poisson probabilities for rare events. Understand the formula, worked examples, common pitfalls, and when to use a calculator.
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