Use our free Inverse T-Distribution Calculator to quickly find the critical t-value for given probability (alpha) and degrees of freedom (df). This tool is crucial for determining confidence intervals and performing hypothesis tests in statistical analysis, helping you interpret data with precision.
Formula:
The Inverse T-Distribution Calculator finds the t-value (tα, df) such that the probability of a Student's t-distributed random variable being greater than this value is equal to the specified significance level (α).
- α (alpha): The probability or significance level (e.g., 0.05).
- df: Degrees of freedom (an integer > 0).
- Tails: Specifies whether the test is one-tailed or two-tailed.
The calculation essentially solves for t given P(T ≤ t) = 1 - α (for one-tailed upper) or P(|T| ≤ t) = 1 - α (for two-tailed).