CalcuStats Lite

Lite version of CalcuStats - Statistical calculators for research and analysis...

CalcuStats Lite

Lite version of CalcuStats - Statistical calculators for research and analysis

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Your sample size has been calculated.

Welcome to CalcuStats Lite

Your comprehensive statistical calculator suite for research, academic, and professional analysis

Proportional Allocation

Allocate sample sizes proportionally across population strata with non-response adjustment and detailed calculation steps.

Taro Yamane Formula

Calculate sample size for finite populations with a simple, widely-used formula that includes optional non-response adjustments.

Cochran's Formula

Advanced sample size calculation for proportions with flexible input formats (decimal, percentage, or with symbol).

Other Statistical Formulas

Comprehensive collection including mean estimation (known and unknown variance), proportion difference, correlation, and regression analysis.

Advanced Stratification

All calculators feature optional stratification with proportional allocation, allowing you to specify stratum sizes and see individual sample sizes for each group.

Proportional Allocation

Allocate sample size proportionally across population strata

Formula

n_i = (N_i / N) × n
Where n_i is the sample size for stratum i, N_i is the population of stratum i, N is the total population, and n is the total sample size. This ensures each stratum is represented proportionally to its size in the population.
Strata Management

Results

Proportional allocation calculation results

Ready to Calculate

Enter your parameters and click "Calculate Allocation" to see the proportional distribution results here.

Taro Yamane Formula

Calculate sample size for finite populations

Formula

n = N / (1 + N × e²)
Where n is the sample size, N is the population size, and e is the margin of error. This formula assumes a 95% confidence level (Z = 1.96) and is suitable for finite populations where the sample will be a significant proportion of the population.

Results

Taro Yamane calculation results

Ready to Calculate

Enter population size and margin of error, then click "Calculate Sample Size" to see results here.

Cochran's Formula

Sample size calculation for proportions with flexible input formats

Formula

n₀ = Z² × p × (1-p) / e²
For finite populations: n = n₀ / (1 + (n₀ - 1)/N)

Where Z is the Z-score for the confidence level, p is the estimated proportion, e is the margin of error, and N is the population size (optional for finite population correction). Accepts multiple input formats: 0.50, 50, or 50%.
Accepts: 0.50 (decimal), 50 (percentage), or 50% (with symbol)

Results

Cochran formula calculation results

Ready to Calculate

Enter proportion, confidence level, and margin of error, then click "Calculate Sample Size" to see results here.

Other Statistical Formulas

Additional statistical formulas for various study designs

Formula

Select a formula type
Select a formula type from the dropdown to see the formula and description here.

Results

Statistical formula calculation results

Ready to Calculate

Select a formula type, enter parameters, then click "Calculate Sample Size" to see results here.