Compatibility Excel 2007 (Compatibility) ◉ 29 views

=TINV()

Returns the two-tailed inverse of the Student's t-distribution. This function is provided for backward compatibility; consider using the T.INV.2T function instead.

Applies To: Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=TINV(probability,deg_freedom)
Hover argument names in the table for details.
Output typeNumber
Popularity11 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments

ArgumentTypeRequiredDescription
probability Number Required The probability associated with the two-tailed Student's t-distribution.
deg_freedom Number Required The number of degrees of freedom with which to characterize the distribution.

▣ Examples

▦ Data
CellValueDescription
A2 0.05464 Probability associated with the Student's two-tailed t-distribution
A3 60 Degrees of freedom
A4 0.05464 Probability associated with the Student's two-tailed t-distribution
A5 60 Degrees of freedom
The t-value of the Student's t-distribution based on the arguments in A2 and A3. =TINV(A2,A3)
Result: 1.96

§ Remarks

  • 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 is not an integer, it is truncated.
  • If deg_freedom < 1, TINV returns the #NUM! error value.
  • TINV returns that 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).
  • 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. Note In some tables, probability is described as (1-p). Given a value for probability, TINV seeks that value x such that TDIST(x, deg_freedom, 2) = probability. Thus, 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.

✦ Tips

  • This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel. For more information about the new functions, see T.INV.2T function or T.INV function.
  • If deg_freedom is not an integer, it is truncated.
  • TINV returns that 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).

⚠ Common Errors

#VALUE! If either argument is nonnumeric, TINV returns the #VALUE! error value.
Fix: بررسی کنید Probability و Deg_freedom هر دو عددی باشند.
#NUM! If probability <= 0 or if probability > 1, TINV returns the #NUM! error value. If deg_freedom < 1, TINV returns the #NUM! error value.
Fix: Between 0 and 1
#N/A If the search has not converged after 100 iterations, the function returns the #N/A error value.
Fix: مقادیر ورودی را بررسی کنید و با مقادیر معتبر دوباره امتحان کنید؛ در صورت تکرار، احتمال یا درجات آزادی را کمی تغییر دهید.

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