Two-Sample T-Test Calculator
Perform a two-sample independent t-test online to compare the means of two independent groups. Input your data, significance level, and get instant results with visualizations.
Test Results
Test Statistic (t):
P-value:
Data Visualization
Visual representation of your sample data. Compare the distributions of the two groups.
Understanding the Two-Sample T-Test
The Two-Sample Independent T-Test is a statistical tool used to determine if there is a significant difference between the means of two independent groups. For example, we might want to compare the average test scores of students taught by two different methods. This test is predicated on the assumption that the data for both groups are normally distributed and have equal variances. The t-test calculates a t-statistic, which is then used to find a p-value. The p-value helps us decide whether to reject the null hypothesis (that there is no difference in means) or not, based on the chosen significance level (alpha).
- Null Hypothesis (H0): There is no difference in the means of the two populations.
- Alternative Hypothesis (H1): There is a significant difference in the means of the two populations.
- Significance Level (α): The probability of rejecting the null hypothesis when it is true (typically set at 0.05).
For more in-depth information, you can refer to resources like Wikipedia's article on Student's t-test.