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Statistical function
T.INV.2T
Returns the two-tailed inverse of the Student t distribution: the critical t for a confidence level.
Rarely usedDifficulty 1500 · AdvancedUsage rank #413 of 520
When to use it
The two-tailed t critical value: the t a statistic must exceed in absolute value to be significant at alpha.
The shape of it
- Syntax
=T.INV.2T(probability, deg_freedom)
Worked examples
5%, 10 df
=T.INV.2T(0.05,10) → 2.228138852
5% on 10 degrees of freedom.
5%, 30 df
=T.INV.2T(0.05,30) → 2.042272456
Closer to 1.96 as df grow.
1%, 10 df
=T.INV.2T(0.01,10) → 3.169272673
1% on 10 degrees of freedom.
Worth knowing
- Interval half-width: T.INV.2T(0.05,n-1)*sd/SQRT(n), the same as CONFIDENCE.T.
- Replaces TINV.
- Always positive.
Where it goes wrong
- #NUM! for probability outside 0 to 1.
- Confusing it with T.INV gives a value at the wrong probability.
Related
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