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# Statistiskās funkcijas 2. daļa

## ZTEST

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

#### Syntax

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.

## Z.TEST

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

This function is available since LibreOffice 4.3.

#### Syntax

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.

#### Example

=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.

## FDIST

Calculates the values of an F distribution.

#### Syntax

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.

#### Example

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

## F.DIST

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

This function is available since LibreOffice 4.2.

#### Syntax

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.

#### Example

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

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

## F.DIST.RT

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

This function is available since LibreOffice 4.2.

#### Syntax

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.

#### Example

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

## FISHER

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

#### Syntax

FISHER(Number)

Number is the value to be transformed.

#### Example

=FISHER(0.5) yields 0.55.

## GAMMA

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

#### Syntax

GAMMA(Number)

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

## GEOMEAN

Returns the geometric mean of a sample.

#### Syntax

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

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

#### Example

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

## HARMEAN

Returns the harmonic mean of a data set.

#### Syntax

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

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

#### Example

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

## HYPGEOMDIST

Returns the hypergeometric distribution.

#### Syntax

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 density function (FALSE or 0) or the cumulative distribution function (any other value). The cumulative distribution function is the default if no value is specified for this parameter.

#### Example

=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.

## HYPGEOM.DIST

Returns the hypergeometric distribution.

This function is available since LibreOffice 4.2.

#### Syntax

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.

#### Example

=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.

## FINV

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.

#### Syntax

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.

#### Example

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

## FISHERINV

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

#### Syntax

FISHERINV(Number)

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

#### Example

=FISHERINV(0.5) yields 0.46.

## GAMMAINV

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

#### Syntax

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.

#### Example

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

## GAMMA.INV

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.

This function is available since LibreOffice 4.3.

#### Syntax

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.

#### Example

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

## F.INV

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.

This function is available since LibreOffice 4.2.

#### Syntax

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.

#### Example

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

## F.INV.RT

Returns the inverse right tail of the F distribution.

This function is available since LibreOffice 4.2.

#### Syntax

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.

#### Example

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

## TRIMMEAN

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

#### Syntax

TRIMMEAN(Datums; Alfa)

Data is the array of data in the sample.

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

#### Example

=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.

## GAMMALN

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

#### Syntax

GAMMALN(Number)

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

#### Example

=GAMMALN(2) yields 0.

## GAMMALN.PRECISE

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

This function is available since LibreOffice 4.3.

#### Syntax

GAMMALN.PRECISE(Number)

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

#### Example

=GAMMALN.PRECISE(2) yields 0.

## FTEST

Returns the result of an F test.

#### Syntax

FTEST(Data1; Data2)

Dati1 ir pirmais ierakstu masīvs.

Dati2 ir otrais ierakstu masīvs.

#### Example

=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.

## F.TEST

Returns the result of an F test.

This function is available since LibreOffice 4.2.

#### Syntax

F.TEST(Data1; Data2)

Dati1 ir pirmais ierakstu masīvs.

Dati2 ir otrais ierakstu masīvs.

#### Example

=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.

## GAUSS

Returns the standard normal cumulative distribution.

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

#### Syntax

GAUSS(Skaitlis)

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

#### Example

=GAUSS(0.19) = 0.08

=GAUSS(0.0375) = 0.01

## GAMMADIST

Returns the values of a Gamma distribution.

The inverse function is GAMMAINV.

#### Syntax

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.

#### Example

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

## GAMMA.DIST

Returns the values of a Gamma distribution.

The inverse function is GAMMAINV or GAMMA.INV.

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

This function is available since LibreOffice 4.3.

#### Syntax

GAMMA.DIST(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.

#### Example

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

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