Standard Error Of Difference Between Two Proportions Calculator

Standard error of difference between two proportions is a statistical measure that quantifies the uncertainty of the difference between two proportions. It’s crucial in comparing proportions from different samples or populations.

How to Use This Calculator

1. Enter the two proportions and their respective sample sizes.
2. Click ‘Calculate’.
3. View the standard error and a visual representation in the chart.

Formula & Methodology

The formula for standard error of difference between two proportions is:

SE = √[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

Where:

• p1 and p2 are the two proportions.
• n1 and n2 are the sample sizes for each proportion.

Real-World Examples

Data & Statistics

Example Data Set 1

Proportion	Sample Size
0.65	100
0.52	150

Example Data Set 2

Proportion	Sample Size
0.48	120
0.61	180

Expert Tips

• Always ensure your sample sizes are large enough for reliable results.
• Consider using a confidence interval for a more comprehensive analysis.

Interactive FAQ

What is a proportion?

A proportion is a ratio between two quantities.

What is a sample size?

Sample size is the number of observations or data points in a sample.

For more information, see the CDC’s guide on standard error and the UCLA’s explanation of standard error in R.