TDIST

Microsoft Office Excel 2003

See Also

Returns the Percentage Points (probability) for the Student t-distribution where a numeric value (x) is a calculated value of t for which the Percentage Points are to be computed. The t-distribution is used in the hypothesis testing of small sample data sets. Use this function in place of a table of critical values for the t-distribution.

Syntax

TDIST(x,degrees_freedom,tails)

X    is the numeric value at which to evaluate the distribution.

Degrees_freedom    is an integer indicating the number of degrees of freedom.

Tails    specifies the number of distribution tails to return. If tails = 1, TDIST returns the one-tailed distribution. If tails = 2, TDIST returns the two-tailed distribution.

Remarks

  • If any argument is nonnumeric, TDIST returns the #VALUE! error value.
  • If degrees_freedom < 1, TDIST returns the #NUM! error value.
  • The degrees_freedom and tails arguments are truncated to integers.
  • If tails is any value other than 1 or 2, TDIST returns the #NUM! error value.
  • If x < 0, then TDIST returns the #NUM! error value.
  • If tails = 1, TDIST is calculated as TDIST = P( X>x ), where X is a random variable that follows the t-distribution. If tails = 2, TDIST is calculated as TDIST = P(|X| > x) = P(X > x or X < -x).
  • Since x < 0 is not allowed, to use TDIST when x < 0, note that TDIST(-x,df,1) = 1 – TDIST(x,df,1) = P(X > -x) and TDIST(-x,df,2) = TDIST(x df,2) = P(|X| > x).

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow?

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic. Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.
  4. In the worksheet, select cell A1, and press CTRL+V.
  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Data Description
1.96 Value at which to evaluate the distribution
60 Degrees of freedom
Formula Description (Result)
=TDIST(A2,A3,2) Two-tailed distribution (0.054644927, or 5.46 percent)
=TDIST(A2,A3,1) One-tailed distribution (0.027322463 or 2.73 percent)

Note  To view the number as a percent, select the cell and, on the Format menu, click Cells. Click the Number tab, and then click Percentage in the Category box.