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# Statistilised funktsioonid, 1. osa

## COUNTIFS

Returns the count of cells that meet criteria in multiple ranges.

## INTERCEPT

Calculates the point at which a line will intersect the y-values by using known x-values and y-values.

#### Süntaks

INTERCEPT(andmed_Y; andmed_X)

DataY is the dependent set of observations or data.

DataX is the independent set of observations or data.

Siin tuleb kasutada nimesid, massiive või viiteid. Arvud võib sisestada otse.

#### Näide

Lõikepunkti leidmiseks kasuta Y-väärtuse jaoks lahtreid D3:D9 ja X-väärtuse jaoks lahtreid C3:C9 näitena toodud arvutustabelist. Sisestada tuleks järgnev valem:

=INTERCEPT(D3:D9;C3:C9) = 2.15.

## COUNTA

Counts how many values are in the list of arguments. Text entries are also counted, even when they contain an empty string of length 0. If an argument is an array or reference, empty cells within the array or reference are ignored.

#### Süntaks

COUNTA(Value1; Value2; ...; Value30)

Value1; Value2, ..., Value30 are 1 to 30 arguments representing the values to be counted.

#### Näide

Loendatakse kirjed 2, 4, 6 ja kaheksa väärtuse väljadel 1-4.

=COUNTA(2;4;6;"eight") = 4. The count of values is therefore 4.

## COUNT

Loendab, kui palju arve on argumentide loendis. Tekstilisi kirjeid eiratakse.

#### Süntaks

COUNT(Value1; Value2; ...; Value30)

Value1; Value2, ..., Value30 are 1 to 30 values or ranges representing the values to be counted.

#### Näide

Loendatakse kirjed 2, 4, 6 ja kaheksa väärtuse väljadel 1-4.

=COUNT(2;4;6;"eight") = 3. The count of numbers is therefore 3.

## EXPON.DIST

Returns the exponential distribution.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

EXPON.DIST(Number; Lambda; C)

Number is the value of the function.

Lambda is the parameter value.

C is a logical value that determines the form of the function. C = 0 calculates the density function, and C = 1 calculates the distribution.

#### Näide

=EXPON.DIST(3;0.5;1) returns 0.7768698399.

## BINOMDIST

Returns the individual term binomial distribution probability.

#### Süntaks

BINOMDIST(x; katseid; SP; C)

X is the number of successes in a set of trials.

Trials is the number of independent trials.

SP is the probability of success on each trial.

C = 0 calculates the probability of a single event and C = 1 calculates the cumulative probability.

#### Näide

=BINOMDIST(A1;12;0.5;0) shows (if the values 0 to 12 are entered in A1) the probabilities for 12 flips of a coin that Heads will come up exactly the number of times entered in A1.

=BINOMDIST(A1;12;0.5;1) shows the cumulative probabilities for the same series. For example, if A1 = 4, the cumulative probability of the series is 0, 1, 2, 3 or 4 times Heads (non-exclusive OR).

## BINOM.DIST

Returns the individual term binomial distribution probability.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

BINOM.DIST(X; Trials; SP; C)

X is the number of successes in a set of trials.

Trials is the number of independent trials.

SP is the probability of success on each trial.

C = 0 calculates the probability of a single event and C = 1 calculates the cumulative probability.

#### Näide

=BINOM.DIST(A1;12;0.5;0) shows (if the values 0 to 12 are entered in A1) the probabilities for 12 flips of a coin that Heads will come up exactly the number of times entered in A1.

=BINOM.DIST(A1;12;0.5;1) shows the cumulative probabilities for the same series. For example, if A1 = 4, the cumulative probability of the series is 0, 1, 2, 3 or 4 times Heads (non-exclusive OR).

## CHISQINV

Returns the inverse of CHISQDIST.

#### Süntaks

Probability is the probability value for which the inverse of the chi-square distribution is to be calculated.

Degrees Of Freedom is the degrees of freedom for the chi-square function.

## BETAINV

Returns the inverse of the cumulative beta probability density function.

#### Süntaks

BETAINV(arv; alfa; beeta; algus; lõpp)

Number is the value between Start and End at which to evaluate the function.

Alpha is a parameter to the distribution.

Beta is a parameter to the distribution.

Start (optional) is the lower bound for Number.

End (optional) is the upper bound for Number.

LibreOffice Calci funktsioonides võib argumendi, mis on märgitud kui "mittekohustuslik", jätta ära ainult siis, kui talle ei järgne enam teisi argumente. Näiteks, kui nelja argumendiga funktsiooni kaks viimast argumenti omavad märget "mittekohustuslik", võib ära jätta argumendi 4 või argumendid 3 ja 4, kuid mitte argumenti 3 üksinda.

#### Näide

=BETAINV(0.5;5;10) returns the value 0.33.

## BETA.INV

Returns the inverse of the cumulative beta probability density function.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

BETA.INV(Number; Alpha; Beta; Start; End)

Number is the value between Start and End at which to evaluate the function.

Alpha is a parameter to the distribution.

Beta is a parameter to the distribution.

Start (optional) is the lower bound for Number.

End (optional) is the upper bound for Number.

LibreOffice Calci funktsioonides võib argumendi, mis on märgitud kui "mittekohustuslik", jätta ära ainult siis, kui talle ei järgne enam teisi argumente. Näiteks, kui nelja argumendiga funktsiooni kaks viimast argumenti omavad märget "mittekohustuslik", võib ära jätta argumendi 4 või argumendid 3 ja 4, kuid mitte argumenti 3 üksinda.

#### Näide

=BETA.INV(0.5;5;10) returns the value 0.3257511553.

## CHISQ.INV

Returns the inverse of the left-tailed probability of the chi-square distribution.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

CHISQ.INV(Probability; DegreesFreedom)

Probability is the probability value for which the inverse of the chi-square distribution is to be calculated.

Degrees Of Freedom is the degrees of freedom for the chi-square function.

#### Näide

=CHISQ.INV(0,5;1) returns 0.4549364231.

## CHIINV

Returns the inverse of the one-tailed probability of the chi-squared distribution.

#### Süntaks

CHIINV(arv; vabadusastmed)

Number is the value of the error probability.

DegreesFreedom is the degrees of freedom of the experiment.

#### Näide

A die is thrown 1020 times. The numbers on the die 1 through 6 come up 195, 151, 148, 189, 183 and 154 times (observation values). The hypothesis that the die is not fixed is to be tested.

The Chi square distribution of the random sample is determined by the formula given above. Since the expected value for a given number on the die for n throws is n times 1/6, thus 1020/6 = 170, the formula returns a Chi square value of 13.27.

If the (observed) Chi square is greater than or equal to the (theoretical) Chi square CHIINV, the hypothesis will be discarded, since the deviation between theory and experiment is too great. If the observed Chi square is less that CHIINV, the hypothesis is confirmed with the indicated probability of error.

=CHIINV(0,05;5) tagastab 11,07.

=CHIINV(0,02;5) tagastab 13,39.

If the probability of error is 5%, the die is not true. If the probability of error is 2%, there is no reason to believe it is fixed.

## CHISQ.INV.RT

Returns the inverse of the one-tailed probability of the chi-squared distribution.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

CHISQ.INV.RT(Number; DegreesFreedom)

Number is the value of the error probability.

DegreesFreedom is the degrees of freedom of the experiment.

#### Näide

A die is thrown 1020 times. The numbers on the die 1 through 6 come up 195, 151, 148, 189, 183 and 154 times (observation values). The hypothesis that the die is not fixed is to be tested.

The Chi square distribution of the random sample is determined by the formula given above. Since the expected value for a given number on the die for n throws is n times 1/6, thus 1020/6 = 170, the formula returns a Chi square value of 13.27.

If the (observed) Chi square is greater than or equal to the (theoretical) Chi square CHIINV, the hypothesis will be discarded, since the deviation between theory and experiment is too great. If the observed Chi square is less that CHIINV, the hypothesis is confirmed with the indicated probability of error.

=CHISQ.INV.RT(0.05;5) returns 11.0704976935.

=CHISQ.INV.RT(0.02;5) returns 13.388222599.

If the probability of error is 5%, the die is not true. If the probability of error is 2%, there is no reason to believe it is fixed.

## CHISQ.DIST

Returns the probability density function or the cumulative distribution function for the chi-square distribution.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

CHISQ.DIST(Number; DegreesFreedom; Cumulative)

Number is the chi-square value of the random sample used to determine the error probability.

DegreesFreedom are the degrees of freedom of the experiment.

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.

#### Näide

=CHISQ.DIST(3; 2; 0) equals 0.1115650801, the probability density function with 2 degrees of freedom, at x = 3.

=CHISQ.DIST(3; 2; 1) equals 0.7768698399, the cumulative chi-square distribution with 2 degrees of freedom, at the value x = 3.

## CHISQ.TEST

Returns the probability of a deviance from a random distribution of two test series based on the chi-squared test for independence. CHISQ.TEST returns the chi-squared distribution of the data.

The probability determined by CHISQ.TEST can also be determined with CHISQ.DIST, in which case the Chi square of the random sample must then be passed as a parameter instead of the data row.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

CHISQ.TEST(DataB; DataE)

DataB is the array of the observations.

DataE is the range of the expected values.

#### Näide

| Andmed_B (vaadeldud) | Andmed_E (oodatud)
1 | 195 | 170
2 | 151 | 170
3 | 148 | 170
4 | 189 | 170
5 | 183 | 170
6 | 154 | 170

=CHISQ.TEST(A1:A6;B1:B6) equals 0.0209708029. This is the probability which suffices the observed data of the theoretical Chi-square distribution.

## CHITEST

Returns the probability of a deviance from a random distribution of two test series based on the chi-squared test for independence. CHITEST returns the chi-squared distribution of the data.

The probability determined by CHITEST can also be determined with CHIDIST, in which case the Chi square of the random sample must then be passed as a parameter instead of the data row.

#### Süntaks

CHITEST(andmed_B; andmed_E)

DataB is the array of the observations.

DataE is the range of the expected values.

#### Näide

| Andmed_B (vaadeldud) | Andmed_E (oodatud)
1 | 195 | 170
2 | 151 | 170
3 | 148 | 170
4 | 189 | 170
5 | 183 | 170
6 | 154 | 170

=CHITEST(A1:A6;B1:B6) equals 0.02. This is the probability which suffices the observed data of the theoretical Chi-square distribution.

## B

Returns the probability of a sample with binomial distribution.

#### Süntaks

B(katseid; SP; T1; T2)

Trials is the number of independent trials.

SP is the probability of success on each trial.

T1 defines the lower limit for the number of trials.

T2 (optional) defines the upper limit for the number of trials.

#### Näide

What is the probability with ten throws of the dice, that a six will come up exactly twice? The probability of a six (or any other number) is 1/6. The following formula combines these factors:

=B(10;1/6;2) returns a probability of 29%.

## CHIDIST

Returns the probability value from the indicated Chi square that a hypothesis is confirmed. CHIDIST compares the Chi square value to be given for a random sample that is calculated from the sum of (observed value-expected value)^2/expected value for all values with the theoretical Chi square distribution and determines from this the probability of error for the hypothesis to be tested.

The probability determined by CHIDIST can also be determined by CHITEST.

#### Süntaks

CHIDIST(arv; vabadusastmed)

Number is the chi-square value of the random sample used to determine the error probability.

DegreesFreedom are the degrees of freedom of the experiment.

#### Näide

=CHIDIST(13.27; 5) equals 0.02.

If the Chi square value of the random sample is 13.27 and if the experiment has 5 degrees of freedom, then the hypothesis is assured with a probability of error of 2%.

## CHISQ.DIST.RT

Returns the probability value from the indicated Chi square that a hypothesis is confirmed. CHISQ.DIST.RT compares the Chi square value to be given for a random sample that is calculated from the sum of (observed value-expected value)^2/expected value for all values with the theoretical Chi square distribution and determines from this the probability of error for the hypothesis to be tested.

The probability determined by CHISQ.DIST.RT can also be determined by CHITEST.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

CHISQ.DIST.RT(Number; DegreesFreedom)

Number is the chi-square value of the random sample used to determine the error probability.

DegreesFreedom are the degrees of freedom of the experiment.

#### Näide

=CHISQ.DIST.RT(13.27; 5) equals 0.0209757694.

If the Chi square value of the random sample is 13.27 and if the experiment has 5 degrees of freedom, then the hypothesis is assured with a probability of error of 2%.

## BINOM.INV

Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

BINOM.INV(Trials; SP; Alpha)

Trials The total number of trials.

SP is the probability of success on each trial.

Alpha The border probability that is attained or exceeded.

#### Näide

=BINOM.INV(8;0.6;0.9) returns 7, the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value.

## RSQ

Returns the square of the Pearson correlation coefficient based on the given values. RSQ (also called determination coefficient) is a measure for the accuracy of an adjustment and can be used to produce a regression analysis.

#### Süntaks

RSQ(andmed_Y; andmed_X)

DataY is an array or range of data points.

DataX is an array or range of data points.

#### Näide

=RSQ(A1:A20;B1:B20) calculates the determination coefficient for both data sets in columns A and B.

## CHISQDIST

Returns the value of the probability density function or the cumulative distribution function for the chi-square distribution.

#### Süntaks

CHISQDIST(Number; Degrees Of Freedom; Cumulative)

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

Degrees Of Freedom is the degrees of freedom for the chi-square function.

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

## BETADIST

Tagastab beetafunktsiooni.

#### Süntaks

BETADIST(Number; Alpha; Beta; Start; End; Cumulative)

Number is the value between Start and End at which to evaluate the function.

Alpha is a parameter to the distribution.

Beta is a parameter to the distribution.

Start (optional) is the lower bound for Number.

End (optional) is the upper bound for Number.

Cumulative (optional) can be 0 or False to calculate the probability density function. It can be any other value or True or omitted to calculate the cumulative distribution function.

LibreOffice Calci funktsioonides võib argumendi, mis on märgitud kui "mittekohustuslik", jätta ära ainult siis, kui talle ei järgne enam teisi argumente. Näiteks, kui nelja argumendiga funktsiooni kaks viimast argumenti omavad märget "mittekohustuslik", võib ära jätta argumendi 4 või argumendid 3 ja 4, kuid mitte argumenti 3 üksinda.

#### Näide

=BETADIST(0.75;3;4) returns the value 0.96.

## BETA.DIST

Tagastab beetafunktsiooni.

See funktsioon on saadaval alates LibreOffice'i versioonist 4.2

#### Süntaks

BETA.DIST(Number; Alpha; Beta; Cumulative; Start; End)

Number (required) is the value between Start and End at which to evaluate the function.

Alpha (required) is a parameter to the distribution.

Beta (required) is a parameter to the distribution.

Cumulative (required) 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.

Start (optional) is the lower bound for Number.

End (optional) is the upper bound for Number.

LibreOffice Calci funktsioonides võib argumendi, mis on märgitud kui "mittekohustuslik", jätta ära ainult siis, kui talle ei järgne enam teisi argumente. Näiteks, kui nelja argumendiga funktsiooni kaks viimast argumenti omavad märget "mittekohustuslik", võib ära jätta argumendi 4 või argumendid 3 ja 4, kuid mitte argumenti 3 üksinda.

#### Näide

=BETA.DIST(2;8;10;1;1;3) returns the value 0.6854706

=BETA.DIST(2;8;10;0;1;3) returns the value 1.4837646

## EXPONDIST

Tagastab eksponentsiaalse jaotuse.

#### Süntaks

EXPONDIST(arv; lambda; C)

Number is the value of the function.

Lambda is the parameter value.

C is a logical value that determines the form of the function. C = 0 calculates the density function, and C = 1 calculates the distribution.

#### Näide

=EXPONDIST(3;0.5;1) returns 0.78.

## COUNTIF

Tagastab lahtrite arvu vahemikus, mis vastavad määratud kriteeriumitele.

#### Süntaks

COUNTIF(vahemik; kriteeriumid)

Range is the range to which the criteria are to be applied.

Criteria indicates the criteria in the form of a number, an expression or a character string. These criteria determine which cells are counted.

The search supports wildcards or regular expressions. With regular expressions enabled, you can enter "all.*", for example to find the first location of "all" followed by any characters. If you want to search for a text that is also a regular expression, you must either precede every character with a "\" character, or enclose the text into \Q...\E. You can switch the automatic evaluation of wildcards or regular expression on and off in LibreOffice - PreferencesTools - Options - LibreOffice Calc - Calculate.

When using functions where one or more arguments are search criteria strings that represents a regular expression, the first attempt is to convert the string criteria to numbers. For example, ".0" will convert to 0.0 and so on. If successful, the match will not be a regular expression match but a numeric match. However, when switching to a locale where the decimal separator is not the dot makes the regular expression conversion work. To force the evaluation of the regular expression instead of a numeric expression, use some expression that can not be misread as numeric, such as ".[0]" or ".\0" or "(?i).0".

#### Näide

A1:A10 on lahtrite vahemik, mis sisaldab arve 2000 kuni 2009. Lahter B1 sisaldab arvu =2006. Sisesta lahtrisse B2 valem:

=COUNTIF(A1:A10;2006) - this returns 1.

=COUNTIF(A1:A10;B1) - this returns 1.

=COUNTIF(A1:A10;">=2006") - this returns 4.

=COUNTIF(A1:A10;"<"&B1) - when B1 contains 2006, this returns 6.

=COUNTIF(A1:A10;C2) where cell C2 contains the text >2006 counts the number of cells in the range A1:A10 which are >2006.

To count only negative numbers: =COUNTIF(A1:A10;"<0")

## COUNTBLANK

Tagastab tühjade lahtrite arvu.

#### Süntaks

COUNTBLANK(vahemik)

Returns the number of empty cells in the cell range Range.

#### Näide

=COUNTBLANK(A1:B2) tagastab väärtuse 4, kui lahtrid A1, A2, B1 ja B2 on kõik tühjad.

Sarnased teemad

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