Documentation/Calc Functions/T.DIST
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Function name:
T.DIST
Category:
Statistical Analysis
Summary:
Calculates values for either the probability density function or the cumulative distribution function of the Student's t-distribution (often known more simply as just the t-distribution). The Student's t-distribution is often used to test a hypothesis about a population’s mean when the population’s standard deviation is not known. The Student’s t-distribution can be used with any statistic whose distribution is approximately normal.
Syntax:
T.DIST(Number; DegreesFreedom; Cumulative)
Returns:
Returns a real number which is a value from the probability density function (range 0 to 0.4 exclusive) or the cumulative distribution function (range 0 to 1 exclusive) of the specified Student's t-distribution.
Arguments:
Number is a real number or a reference to a cell containing that number which is the value for which the Student’s t-distribution is to be calculated.
DegreesFreedom is a positive integer value or a reference to a cell containing that value which is the number of degrees of freedom of the sample for the Student’s t-distribution. This is typically assumed to be the number of samples minus 1.
Cumulative can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.
- If DegreesFreedom is less than 1 then the function returns an error value.
- If DegreesFreedom is a non-integer value then the function uses its floor value, i.e. it is truncated to an integer.
Additional details:
- For more details on probability density and cumulative distribution function of Student's t-distribution, visit Wikipedia.
Examples:
Formula | Description | Returns |
---|---|---|
=T.DIST(5.8;1;TRUE()) | The function calculates the cumulative distribution function for the Student's t-distribution. | 0.945653294267737 |
=T.DIST(5.8;1;0) | The function calculates the probability distribution function for the Student's t-distribution. | 0.009189084474128 |
=T.DIST(5.8;1.5;0) | The function calculates the probability distribution function for the Student's t-distribution. Here DegreesFreedom is non-integer value 1.5 so the function truncates it to integer 1. | 0.009189084474128 |
=T.DIST(5.8;0.9;0) | The function returns an error value since DegreesFreedom is less than 1. | Err:502 |
Related LibreOffice functions:
ODF standard:
None
Equivalent Excel functions:
T.DIST