How to Calculate T-Tests by Hand
T-tests are essential statistical tools for comparing means of two groups. Learning how to calculate t-tests by hand is crucial for understanding the underlying assumptions and ensuring the validity of your results.
How to Use This Calculator
- Enter the sample size, mean, and standard deviation of your data.
- Enter the hypothesized mean you want to test.
- Click ‘Calculate’ to see the t-statistic, p-value, and a visual representation of your data.
Formula & Methodology
The t-test formula is: t = (x̄ – μ) / (s / √n), where x̄ is the sample mean, μ is the hypothesized mean, s is the standard deviation, and n is the sample size.
Real-World Examples
Data & Statistics
| Data |
|---|
| 12, 15, 18, 21, 24 |
| Mean | Standard Deviation | T-Statistic | P-Value |
|---|---|---|---|
| 18 | 3 | 2 | 0.05 |
Expert Tips
- Always check the assumptions of the t-test before using it.
- Consider using a different test if your data is not normally distributed.
- Be cautious when interpreting p-values; they are not a measure of effect size.
Interactive FAQ
What is a t-statistic?
The t-statistic is a measure of the difference between the sample mean and the hypothesized mean, standardized by the standard error of the mean.
Learn more about t-tests from Statistics How To.
Read about the history and applications of t-tests in Nature.