1. What is Multiple T-Test?

The multiple t-test calculator performs independent t-tests for multiple pairs of data simultaneously. It calculates the t-statistic for each pair based on mean differences, standard deviations, and sample sizes.

2. How Does the Calculator Work?

The calculator uses the t-test formula:

Where:

• mean diff — Difference between means (unit of data)
• sd — Standard deviation (unit of data)
• n — Sample size (unitless)
• t — T-statistic (unitless)

Explanation: The t-statistic measures the size of the difference relative to the variation in your sample data.

3. Importance of T-Test Calculation

Details: T-tests are essential for determining if there are statistically significant differences between groups. Multiple t-tests allow comparison of several pairs simultaneously.

4. Using the Calculator

Tips: Enter the number of pairs you want to compare, then provide mean difference, standard deviation, and sample size for each pair. All values must be valid (sd > 0, n ≥ 2).

5. Frequently Asked Questions (FAQ)

Q1: What type of t-test does this calculator perform?
A: This calculator performs independent samples t-tests for multiple pairs of data.

Q2: What does the t-value represent?
A: The t-value represents the ratio of the difference between groups to the variation within groups. Larger absolute t-values indicate stronger evidence against the null hypothesis.

Q3: How do I interpret the results?
A: Compare the calculated t-value to critical values from a t-distribution table based on your degrees of freedom (n-1) and desired significance level.

Q4: What are the assumptions of t-tests?
A: T-tests assume normally distributed data, homogeneity of variances, and independent observations.

Q5: When should I use multiple t-tests vs ANOVA?
A: Use multiple t-tests for comparing specific pairs. Use ANOVA when comparing more than two groups to control for Type I error inflation.