Sisällys

# Statistical Functions Part Two

## F.JAKAUMA

Calculates the values of the left tail of the F distribution.

#### Syntaksi

F.DIST(Number; DegreesFreedom1; DegreesFreedom2 [; Cumulative])

Number is the value for which the F distribution is to be calculated.

degreesFreedom1 is the degrees of freedom in the numerator in the F distribution.

degreesFreedom2 is the degrees of freedom in the denominator in the F distribution.

Cumulative = 0 or False calculates the density function Cumulative = 1 or True calculates the distribution.

#### Esimerkki

=F.DIST(0.8;8;12;0) yields 0.7095282499.

=F.DIST(0.8;8;12;1) yields 0.3856603563.

#### Teknistä tietoa

This function is available since LibreOffice 4.2.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.F.DIST

## F.JAKAUMA.OH

Calculates the values of the right tail of the F distribution.

#### Syntaksi

F.DIST.RT(Number; DegreesFreedom1; DegreesFreedom2)

Number is the value for which the F distribution is to be calculated.

degreesFreedom1 is the degrees of freedom in the numerator in the F distribution.

degreesFreedom2 is the degrees of freedom in the denominator in the F distribution.

#### Esimerkki

=F.DIST.RT(0.8;8;12) yields 0.6143396437.

#### Teknistä tietoa

This function is available since LibreOffice 4.2.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.F.DIST.RT

## F.KÄÄNT

Returns the inverse of the cumulative F distribution. The F distribution is used for F tests in order to set the relation between two differing data sets.

#### Syntaksi

F.INV(Number; DegreesFreedom1; DegreesFreedom2)

Number is probability value for which the inverse F distribution is to be calculated.

DegreesFreedom1 is the number of degrees of freedom in the numerator of the F distribution.

DegreesFreedom2 is the number of degrees of freedom in the denominator of the F distribution.

#### Esimerkki

=F.INV(0.5;5;10) yields 0.9319331609.

#### Teknistä tietoa

This function is available since LibreOffice 4.2.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.F.INV

## F.KÄÄNT.OH

Returns the inverse right tail of the F distribution.

#### Syntaksi

F.INV.RT(Number; DegreesFreedom1; DegreesFreedom2)

Number is probability value for which the inverse F distribution is to be calculated.

DegreesFreedom1 is the number of degrees of freedom in the numerator of the F distribution.

DegreesFreedom2 is the number of degrees of freedom in the denominator of the F distribution.

#### Esimerkki

=F.INV.RT(0.5;5;10) yields 0.9319331609.

#### Teknistä tietoa

This function is available since LibreOffice 4.2.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.F.INV.RT

## F.TESTI

Returns the result of an F test.

#### Syntaksi

F.TEST(Data1; Data2)

Data1 is the first record array.

Data2 is the second record array.

#### Esimerkki

=F.TEST(A1:A30;B1:B12) calculates whether the two data sets are different in their variance and returns the probability that both sets could have come from the same total population.

#### Teknistä tietoa

This function is available since LibreOffice 4.2.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.F.TEST

## FISHER

Returns the Fisher transformation for x and creates a function close to a normal distribution.

#### Syntaksi

FISHER(Number)

Number is the value to be transformed.

#### Esimerkki

=FISHER(0.5) yields 0.55.

## FISHER.KÄÄNT

Returns the inverse of the Fisher transformation for x and creates a function close to a normal distribution.

#### Syntaksi

FISHERINV(Number)

Number is the value that is to undergo reverse-transformation.

#### Esimerkki

=FISHERINV(0.5) yields 0.46.

## FJAKAUMA

Calculates the values of an F distribution.

#### Syntaksi

FDIST(Number; DegreesFreedom1; DegreesFreedom2)

Number is the value for which the F distribution is to be calculated.

degreesFreedom1 is the degrees of freedom in the numerator in the F distribution.

degreesFreedom2 is the degrees of freedom in the denominator in the F distribution.

#### Esimerkki

=FDIST(0.8;8;12) yields 0.61.

## FJAKAUMA.KÄÄNT

Returns the inverse of the F probability distribution. The F distribution is used for F tests in order to set the relation between two differing data sets.

#### Syntaksi

FINV(Number; DegreesFreedom1; DegreesFreedom2)

Number is probability value for which the inverse F distribution is to be calculated.

DegreesFreedom1 is the number of degrees of freedom in the numerator of the F distribution.

DegreesFreedom2 is the number of degrees of freedom in the denominator of the F distribution.

#### Esimerkki

=FINV(0.5;5;10) yields 0.93.

## FTESTI

Returns the result of an F test.

#### Syntaksi

FTEST(Data1; Data2)

Data1 is the first record array.

Data2 is the second record array.

This function ignores any text or empty cell within a data range. If you suspect wrong results from this function, look for text in the data ranges. To highlight text contents in a data range, use the value highlighting feature.

#### Esimerkki

=FTEST(A1:A30;B1:B12) calculates whether the two data sets are different in their variance and returns the probability that both sets could have come from the same total population.

## GAMMA

Returns the Gamma function value. Note that GAMMAINV is not the inverse of GAMMA, but of GAMMADIST.

#### Syntaksi

GAMMA(Number)

Number is the number for which the Gamma function value is to be calculated.

## GAMMA.JAKAUMA

Returns the values of a Gamma distribution.

The inverse function is GAMMAINV or GAMMA.INV.

This function is similar to GAMMADIST and was introduced for interoperability with other office suites.

#### Syntaksi

GAMMA.DIST(Number; Alpha; Beta; Cumulative)

Number is the value for which the Gamma distribution is to be calculated.

Alpha is the parameter Alpha of the Gamma distribution.

Beta is the parameter Beta of the Gamma distribution.

Cumulative = 0 or False calculates the probability density function; Cumulative = 1, True, or any other value calculates the cumulative distribution function.

#### Esimerkki

=GAMMA.DIST(2;1;1;1) yields 0.86.

#### Teknistä tietoa

This function is available since LibreOffice 4.3.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.GAMMA.DIST

## GAMMA.JAKAUMA.KÄÄNT

Returns the inverse of the Gamma cumulative distribution GAMMADIST. This function allows you to search for variables with different distribution.

This function is identical to GAMMAINV and was introduced for interoperability with other office suites.

#### Syntaksi

GAMMA.INV(Number; Alpha; Beta)

Number is the probability value for which the inverse Gamma distribution is to be calculated.

Alpha is the parameter Alpha of the Gamma distribution.

Beta is the parameter Beta of the Gamma distribution.

#### Esimerkki

=GAMMA.INV(0.8;1;1) yields 1.61.

#### Teknistä tietoa

This function is available since LibreOffice 4.3.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.GAMMA.INV

## GAMMAJAKAUMA

Returns the values of a Gamma distribution.

The inverse function is GAMMAINV.

#### Syntaksi

GAMMADIST(Number; Alpha; Beta [; C])

Number is the value for which the Gamma distribution is to be calculated.

Alpha is the parameter Alpha of the Gamma distribution.

Beta is the parameter Beta of the Gamma distribution.

C (optional) = 0 or False calculates the density function C = 1 or True calculates the distribution.

#### Esimerkki

=GAMMADIST(2;1;1;1) yields 0.86.

## GAMMAJAKAUMA.KÄÄNT

Returns the inverse of the Gamma cumulative distribution GAMMADIST. This function allows you to search for variables with different distribution.

#### Syntaksi

GAMMAINV(Number; Alpha; Beta)

Number is the probability value for which the inverse Gamma distribution is to be calculated.

Alpha is the parameter Alpha of the Gamma distribution.

Beta is the parameter Beta of the Gamma distribution.

#### Esimerkki

=GAMMAINV(0.8;1;1) yields 1.61.

## GAMMALN

Returns the natural logarithm of the Gamma function: G(x).

#### Syntaksi

GAMMALN(Number)

Number is the value for which the natural logarithm of the Gamma function is to be calculated.

#### Esimerkki

=GAMMALN(2) yields 0.

## GAMMALN.TARKKA

Returns the natural logarithm of the Gamma function: G(x).

#### Syntaksi

GAMMALN.PRECISE(Number)

Number is the value for which the natural logarithm of the Gamma function is to be calculated.

#### Esimerkki

=GAMMALN.PRECISE(2) yields 0.

#### Teknistä tietoa

This function is available since LibreOffice 4.3.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.GAMMALN.PRECISE

## GAUSS

Returns the standard normal cumulative distribution.

It is GAUSS(x)=NORMSDIST(x)-0.5

#### Syntaksi

GAUSS(Number)

Number is the value for which the value of the standard normal distribution is to be calculated.

#### Esimerkki

=GAUSS(0.19) = 0.08

=GAUSS(0.0375) = 0.01

## HYPERGEOM.JAKAUMA

Returns the hypergeometric distribution.

#### Syntaksi

HYPGEOMDIST(X; NSample; Successes; NPopulation [; Cumulative])

X is the number of results achieved in the random sample.

NSample is the size of the random sample.

Successes is the number of possible results in the total population.

NPopulation is the size of the total population.

Cumulative (optional) specifies whether to calculate the probability mass function (FALSE or 0) or the cumulative distribution function (any other value). The probability mass function is the default if no value is specified for this parameter.

#### Esimerkki

=HYPGEOMDIST(2;2;90;100) yields 0.81. If 90 out of 100 pieces of buttered toast fall from the table and hit the floor with the buttered side first, then if 2 pieces of buttered toast are dropped from the table, the probability is 81%, that both will strike buttered side first.

## HYPERGEOM_JAKAUMA

Returns the hypergeometric distribution.

#### Syntaksi

HYPGEOM.DIST(X; NSample; Successes; NPopulation; Cumulative)

X is the number of results achieved in the random sample.

NSample is the size of the random sample.

Successes is the number of possible results in the total population.

NPopulation is the size of the total population.

Cumulative : 0 or False calculates the probability density function. Other values or True calculates the cumulative distribution function.

#### Esimerkki

=HYPGEOM.DIST(2;2;90;100;0) yields 0.8090909091. If 90 out of 100 pieces of buttered toast fall from the table and hit the floor with the buttered side first, then if 2 pieces of buttered toast are dropped from the table, the probability is 81%, that both will strike buttered side first.

=HYPGEOM.DIST(2;2;90;100;1) yields 1.

#### Teknistä tietoa

This function is available since LibreOffice 4.2.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.HYPGEOM.DIST

## KESKIARVO.GEOM

Returns the geometric mean of a sample.

#### Syntaksi

GEOMEAN(Number 1 [; Number 2 [; … [; Number 255]]])

Number 1; Number 2; … ; Number 255 are numbers, references to cells or to cell ranges of numbers.

This function ignores any text or empty cell within a data range. If you suspect wrong results from this function, look for text in the data ranges. To highlight text contents in a data range, use the value highlighting feature.

#### Esimerkki

=GEOMEAN(23;46;69) = 41.79. The geometric mean value of this random sample is therefore 41.79.

## KESKIARVO.HARM

Returns the harmonic mean of a data set.

#### Syntaksi

HARMEAN(Number 1 [; Number 2 [; … [; Number 255]]])

Number 1; Number 2; … ; Number 255 are numbers, references to cells or to cell ranges of numbers.

This function ignores any text or empty cell within a data range. If you suspect wrong results from this function, look for text in the data ranges. To highlight text contents in a data range, use the value highlighting feature.

#### Esimerkki

=HARMEAN(23;46;69) = 37.64. The harmonic mean of this random sample is thus 37.64

## KESKIARVO.TASATTU

Returns the mean of a data set without the Alpha percent of data at the margins.

#### Syntaksi

TRIMMEAN(Data; Alpha)

Data is the array of data in the sample.

Alpha is the percentage of the marginal data that will not be taken into consideration.

This function ignores any text or empty cell within a data range. If you suspect wrong results from this function, look for text in the data ranges. To highlight text contents in a data range, use the value highlighting feature.

#### Esimerkki

=TRIMMEAN(A1:A50; 0.1) calculates the mean value of numbers in A1:A50, without taking into consideration the 5 percent of the values representing the highest values and the 5 percent of the values representing the lowest ones. The percentage numbers refer to the amount of the untrimmed mean value, not to the number of summands.

## Z.TESTI

Calculates the probability of observing a z-statistic greater than the one computed based on a sample.

#### Syntaksi

Z.TEST(Data; mu [; Sigma])

Data is the given sample, drawn from a normally distributed population.

mu is the known mean of the population.

Sigma (optional) is the known standard deviation of the population. If omitted, the standard deviation of the given sample is used.

#### Esimerkki

=Z.TEST(A2:A20; 9; 2) returns the result of a z-test on a sample A2:A20 drawn from a population with known mean 9 and known standard deviation 2.

#### Teknistä tietoa

This function is available since LibreOffice 4.3.

This function is not part of the Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format standard. The name space is

COM.MICROSOFT.Z.TEST

## ZTESTI

Calculates the probability of observing a z-statistic greater than the one computed based on a sample.

#### Syntaksi

ZTEST(Data; mu [; Sigma])

Data is the given sample, drawn from a normally distributed population.

mu is the known mean of the population.

Sigma (optional) is the known standard deviation of the population. If omitted, the standard deviation of the given sample is used.

See also the Wiki page.

This function ignores any text or empty cell within a data range. If you suspect wrong results from this function, look for text in the data ranges. To highlight text contents in a data range, use the value highlighting feature.

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