How to Use the TDIST Function in Excel

Today, we will delve into the TDIST function, a robust statistical tool found in both Microsoft Excel and Google Sheets. This function is essential for calculating the probability associated with the Student’s t-distribution, which plays a critical role in hypothesis testing and confidence interval calculations.

Syntax:

The syntax for the TDIST function is consistent across both Excel and Google Sheets:

TDIST(x, degrees_freedom, tails)
  • x: The numeric value where the t-distribution is evaluated.
  • degrees_freedom: The number of degrees of freedom in the distribution.
  • tails: An optional parameter that specifies the number of distribution tails to consider, either 1 (one-tailed distribution) or 2 (two-tailed distribution).

Examples:

Here are some examples to illustrate how the TDIST function is used:

x (Value) Degrees of Freedom Tails Result
1.5 10 2 0.076
2.0 5 1 0.047

In the first example, we calculate the probability for a two-tailed distribution with a t-value of 1.5 and 10 degrees of freedom, resulting in 0.076.

In the second example, we calculate the probability for a one-tailed distribution with a t-value of 2.0 and 5 degrees of freedom, resulting in 0.047.

Applications:

The TDIST function is commonly used in hypothesis testing. For instance, it helps determine if there is a statistically significant difference between the means of two samples.

Additionally, TDIST is instrumental in calculating confidence intervals, allowing you to ascertain the critical t-value for a specific confidence level and number of degrees of freedom.

When applying the TDIST function, it is crucial to ensure that your data conforms to a t-distribution and that your sample satisfies the assumptions of the t-test.

More information: https://support.microsoft.com/en-us/office/tdist-function-630a7695-4021-4853-9468-4a1f9dcdd192

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Returns the inverse of the cumulative distribution function for a specified beta distribution
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Returns the one-tailed probability of the chi-squared distribution
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Returns the confidence interval for a population mean
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Returns the standard normal cumulative distribution
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Returns the percentage rank of a value in a data set
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Calculates standard deviation based on the entire population
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