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Statistics tools

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Standard Deviation Calculator

Calculate sample and population standard deviation, variance, mean, and spread interpretation.

Confidence Interval Calculator

Estimate confidence interval from mean, standard deviation, sample size, and confidence level.

Sample Size Calculator

Estimate sample size from confidence level, margin of error, population, and expected proportion.

Z-Score Calculator

Calculate z-score, standard deviations from mean, and normal-distribution context.

Research Sample Allocation Calculator

Plan how to allocate a fixed sample across study groups using effect size, cost, and dropout assumptions.

Replication Power Calculator

Estimate the sample size and detectable effect needed for a replication study under conservative assumptions.

P-Hacking Risk Calculator

Estimate false-positive pressure from multiple tests, optional stopping, and subgroup exploration.

Multiple Comparison Burden Calculator

Estimate familywise error pressure from parallel hypotheses and planned correction strategy.

Confidence Interval Width Planner

Estimate sample size needed to reach a target confidence interval width for a measured outcome.

Effect Size Translator Calculator

Translate between standardized effect size, raw-unit difference, pooled spread, and practical interpretation.

Survey Nonresponse Bias Calculator

Estimate potential bias from response rate, population difference, and missing-response assumptions.

Research Margin-of-Error Budget Calculator

Estimate how sample size, confidence level, and response variability consume a margin-of-error budget.

Citation Half-Life Calculator

Estimate citation half-life and literature freshness from publication year, citation age, and field velocity.