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FDIST Function (OpenOffice Calc)

Statistical Intermediate OpenOffice Calc

Use Apache OpenOffice Calc FDIST for right-tail F probabilities, with numerator/denominator order, integer limits and a reproducible variance-ratio example.

Verification status: Official release source and independently calculated examples for FDIST were reviewed. No new Apache OpenOffice Calc application execution is claimed for this guide; the stated version and example limits still apply. How formula examples are checked

Quick answer: =FDIST(2;5;5) returns approximately 0.232511319130. This is the probability above F=2, not the probability below it.

Availability and version history

  • Introduced: First release not established. The OpenOffice.org 3.3 function appendix documents this name; that is presence evidence, not its introduction date.
  • Supported in: Apache OpenOffice 4.1.16, with no final supported release established.
  • Scope: Desktop Calc; English names and semicolon separators are used below. The numeric contract refers to the cited release.
  • Checked: October 14, 2026. Retained official documentation/source and independent mathematics checked; no new Apache OpenOffice Calc execution is claimed.

Meaning of the right tail

FDIST evaluates P(F≥x) for an F distribution with two degree-of-freedom parameters. The first belongs to the numerator of the underlying ratio; the second belongs to the denominator. A small value means that a statistic at least as large would be unusual under that specified reference model. It is not the probability that a scientific hypothesis is true. Function reference.

The F distribution arises from a ratio of independent chi-squared quantities divided by their respective degrees of freedom. In a variance comparison, that model requires independent normal samples. The function does not test those assumptions for you.

Syntax and parameter limits

=FDIST(Number; DegreesFreedom1; DegreesFreedom2)

All three arguments are required. Number must be nonnegative. Both degree counts are floored before the evaluator requires 1≤df<10,000,000,000. The upper limit is excluded, not included. Prefer deliberately chosen integer counts to relying on conversion of fractional values. Pinned release evaluator.

At x=0 the whole distribution lies at or above the threshold, so the result is 1. There is no cumulative-mode switch: this particular function always supplies the right tail. Do not add a fourth cumulative argument copied from a newer function in another spreadsheet.

Reproducible reference cases

These are independently calculated reference values, rounded to twelve decimal places. They are not newly captured application outputs.

Formula Expected result, approximately
=FDIST(.8;8;12) 0.614339643746
=FDIST(0;5;5) 1
=FDIST(1;5;5) 0.5
=FDIST(2;5;5) 0.23251131913
=FDIST(2;2;4) 0.25
=FDIST(4;2;4) 0.111111111111
=FDIST(1;4;10) 0.451555049342
=FDIST(2;5.9;5.9) 0.23251131913

Practical worksheet: a prespecified variance ratio

Suppose two independent normal samples each contain six observations, with sample variances 8 and 4. Define sample 1 as the numerator before inspecting the data. Put 8, 4, 6 and 6 in A2:D2. In E2 enter =A2/B2, and in F2 enter =FDIST(E2;C2-1;D2-1).

The ratio is 2 and both degree counts are 5, giving a one-sided upper-tail value of approximately 0.232511319130. A lower-tail alternative needs a different event. Choosing whichever observed variance is larger as the numerator does not preserve the interpretation of a prechosen one-sided test.

Advanced orientation checks

For a positive threshold, the reciprocal of an F variable reverses its two degrees of freedom. Thus =FDIST(2;2;4)+FDIST(0.5;4;2) should be 1. Reversing only the degree counts while keeping the same x is a different calculation.

The probability below x can be written =1-FDIST(x;df1;df2). For a central interval, subtract two lower-tail values or take the difference of the corresponding right tails in reverse order. For example, the probability between 1 and 4 with degrees 2 and 4 is =FDIST(1;2;4)-FDIST(4;2;4), approximately 0.333333333333.

A cutoff for an upper-tail probability is computed by FINV. The full-precision round trip =FDIST(FINV(0.05;5;5);5;5) should recover 0.05. Do not feed a rounded display value back into a sensitive tail calculation.

Errors and interpretation

Negative x or out-of-range floored degree counts follow the invalid-argument branch. In particular, =FDIST(2;0.9;5) and =FDIST(2;10000000000;5) fail those guards. These are source-confirmed conditions, not new native error screenshots.

A degree count usually equals a sample size minus fitted parameters; it is not the number of rows regardless of missing observations. Check that each variance and its sample count describe the same data. Numerical tail accuracy, text coercion and locale-specific input remain separate from the ordinary cases above.

Official evidence and calculation scope

The examples were recomputed independently against the retained release contract. Native import, locale and extreme-input behavior is not newly certified.