Two Sample T-Test Calculator
Free online Two Sample T-Test Calculator with instant results. Calculate t-statistics and p-value for independent samples. Understand formula, advantages, and limitations.
What is a Two Sample T-Test?
A two-sample t-test is a statistical method used to determine if there's a significant difference between the means of two independent groups. It compares the average values of two data sets to assess whether their population means differ significantly. This hypothesis testing tool is widely used in scientific research, quality control, and data analysis when comparing experimental groups. It assumes normal distribution and equal variances between groups, making it ideal for small sample sizes (typically n < 30). Researchers use it to validate if observed differences are statistically meaningful or due to random chance.
Formula
The t-statistic is calculated using:
t = (x̄₁ - x̄₂) / √(s₁²/n₁ + s₂²/n₂)
Where x̄ = sample mean, s² = sample variance, n = sample size
Installation
No installation required! Simply bookmark this page or save the HTML file to your device for offline access.
Advantages & Disadvantages
Advantages:
- Determines if means difference is statistically significant
- Works with small sample sizes
- Simple interpretation of results
- Widely accepted in scientific community
- Handles normally distributed data effectively
Disadvantages:
- Requires normal data distribution
- Sensitive to outliers
- Assumes equal variances (unless using Welch's correction)
- Only compares means, not other statistics
- Sample independence requirement limits some applications