Our free t-statistic calculator efficiently determines the t-value and degrees of freedom for independent samples. Ideal for students, researchers, and professionals, this tool simplifies hypothesis testing and comparing two population means with ease. Get accurate results for your statistical analysis instantly.
Formula:
Independent Samples t-test (Pooled Variance)
The t-statistic (t) is calculated using the following formula:
t = (x̄₁ - x̄₂) / √(s²p * (1/n₁ + 1/n₂))
Where:
- x̄₁, x̄₂ = Sample Means for Group 1 and Group 2
- n₁, n₂ = Sample Sizes for Group 1 and Group 2
- s²p = Pooled Variance = (((n₁-1)s²₁) + ((n₂-1)s²₂)) / (n₁ + n₂ - 2)
- s₁, s₂ = Sample Standard Deviations for Group 1 and Group 2
The Degrees of Freedom (df) is calculated as:
df = n₁ + n₂ - 2