T-Test Calculator
A t-test calculator helps determine if there's a significant difference between two groups' means. It's used in research, quality control, and data analysis to validate hypotheses. By inputting sample data, users get t-values and p-values to make statistically informed decisions.
Formula
t = (x̄₁ - x̄₂) / √(s²/n₁ + s²/n₂)
Where x̄ = mean, s² = variance, n = sample size
Critical Values Table
Confidence Level | Critical Value (2-tailed) |
---|---|
90% | 1.645 |
95% | 1.960 |
99% | 2.576 |
How to Use
1. Enter comma-separated numbers for both groups
2. Click Calculate
3. Compare t-value with critical values
4. Interpret results using the table
5. Use Clear button for new calculations
Development Process
1. Designed HTML interface
2. Added CSS styling
3. Implemented t-test formula in JavaScript
4. Added input validation
5. Created results display
6. Added statistical reference table
7. Implemented clear functionality
8. Optimized for user experience
FAQs
What is a t-test calculator used for?
A t-test calculator determines if two data sets differ significantly. It's used in research to compare group means, helping validate experimental results through statistical significance testing.
What types of t-tests can this calculator perform?
This calculator performs independent two-sample t-tests. It assumes equal variances and works best for normally distributed data with similar sample sizes.
How accurate is this t-test calculator?
While accurate for basic calculations, always verify critical results with statistical software. Accuracy depends on proper data entry and meeting test assumptions.