T Distribution Calculator
Calculate the probability density function (PDF) and cumulative distribution function (CDF) for the Student's t-distribution given a t-value and degrees of freedom.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the t-Distribution Calculator
This calculator computes the Probability Density Function (PDF) and Cumulative Distribution Function (CDF) for a given t-value and degrees of freedom.
- Enter the t-value – Input the t-statistic (e.g., 1.96). Use a decimal point for fractional values.
- Enter Degrees of Freedom (df) – Input a positive integer (e.g., 10). This must be a whole number ≥ 1.
- Click "Calculate" – Press the button or hit Enter in either input field.
Results:
- PDF – The height of the t-distribution curve at your t-value. Useful for likelihood comparisons.
- CDF – The probability that a t-value is ≤ your input. Ranges from 0 to 1.
Tip: For a two-tailed test, multiply the CDF by 2 if your t-value is positive, or use 1 - CDF for negative values.
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Frequently Asked Questions
The t-distribution is a probability distribution used in statistics, especially for small sample sizes. It is similar to the normal distribution but has heavier tails.
Degrees of freedom (df) refer to the number of independent values in a calculation. In a t-distribution, df is typically the sample size minus one.
The CDF gives the probability that a t-value is less than or equal to the given value. It is used for hypothesis testing and confidence intervals.
