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Compatibility - TINV Function
The TINV function replaces the T.INV.2T function in Excel 2010.
Description
The function returns the two-tailed inverse of the student's t-distribution.
Syntax
TINV (probability,deg_freedom)
Arguments
Argument | Description | Required/ Optional |
---|---|---|
Probability | The probability associated with the two-tailed Student's t-distribution. | Required |
Deg_freedom | The number of degrees of freedom with which to characterize the distribution. | Required |
Notes
TINV returns the value t, such that P(|X| > t) = probability where X is a random variable that follows the t-distribution and P(|X| > t) = P(X < -t or X > t)
If deg_freedom is not an integer, it is truncated.
A one-tailed t-value can be returned by replacing probability with 2*probability. For a probability of 0.05 and degrees of freedom of 10, the two-tailed value is calculated with TINV (0.05,10), which returns 2.28139. The one-tailed value for the same probability and degrees of freedom can be calculated with TINV(2*0.05,10), which returns 1.812462
In some tables, probability is described as (1-p)
If either argument is nonnumeric, TINV returns the #VALUE! error value.
If probability <= 0 or if probability > 1, TINV returns the #NUM! error value.
If deg_freedom < 1, TINV returns the #NUM! error value.
Given a value for probability, TINV seeks that value x such that TDIST(x, deg_freedom, 2) = probability. Hence, precision of TINV depends on precision of TDIST. TINV uses an iterative search technique. If the search has not converged after 100 iterations, the function returns the #N/A error value.