How to Use the TINV Function in Excel

Today, we’ll delve into an important statistical function used in both Excel and Google Sheets – the TINV function. This function is utilized to calculate the inverse of the Student’s T-distribution, essentially helping us determine the value at which a specified cumulative distribution function is met.

Syntax:

The syntax for the TINV function is as follows:

=TINV(probability, deg_freedom)
  • probability: This represents the probability corresponding to the two-tailed T-distribution.
  • deg_freedom: This denotes the number of degrees of freedom in the distribution.

Examples:

To better understand the application of the TINV function, let’s look at a couple of examples in both Excel and Google Sheets.

Example 1:

Let’s calculate the inverse T value for a probability of 0.05 with 10 degrees of freedom.

Excel Formula Result
=TINV(0.05, 10) 2.228139

The calculated inverse T value, with a probability of 0.05 and 10 degrees of freedom, is approximately 2.228139.

Example 2:

Determine the inverse T value for a cumulative probability of 0.025 with 20 degrees of freedom.

Google Sheets Formula Result
=TINV(0.025, 20) 2.845339

With a cumulative probability of 0.025 and 20 degrees of freedom, the inverse T value is approximately 2.845339.

These examples illustrate how the TINV function can be effectively used to compute the inverse T values for specific probabilities and degrees of freedom in both Excel and Google Sheets.

More information: https://support.microsoft.com/en-us/office/tinv-function-a7c85b9d-90f5-41fe-9ca5-1cd2f3e1ed7c

Other functions
Returns the beta cumulative distribution function
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the individual term binomial distribution probability
Returns the one-tailed probability of the chi-squared distribution
Returns the inverse of the one-tailed probability of the chi-squared distribution
Returns the test for independence
Returns the confidence interval for a population mean
Returns covariance, the average of the products of paired deviations
Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value
Returns the exponential distribution
Returns the F probability distribution
Rounds a number down, toward zero
Returns the result of an F-test
Returns the gamma distribution
Returns the inverse of the gamma cumulative distribution
Returns the hypergeometric distribution
Returns the inverse of the lognormal cumulative distribution
Returns the cumulative lognormal distribution
Returns the most common value in a data set
Returns the negative binomial distribution
Returns the inverse of the normal cumulative distribution
Returns the normal cumulative distribution
Returns the standard normal cumulative distribution
Returns the inverse of the standard normal cumulative distribution
Returns the k-th percentile of values in a range
Returns the percentage rank of a value in a data set
Returns the Poisson distribution
Returns the quartile of a data set
Returns the rank of a number in a list of numbers
Estimates standard deviation based on a sample
Calculates standard deviation based on the entire population
Returns the Student's t-distribution
Returns the probability associated with a Student's t-test
Estimates variance based on a sample
Calculates variance based on the entire population
Calculates variance based on the entire population, including numbers, text, and logical values
Returns the one-tailed probability-value of a z-test