Statistical Functions Part Five
DEVSQ
Returns the sum of squares of deviations based on a sample mean.
Syntax
DEVSQ(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing a sample.
Приклад
=DEVSQ(A1:A50)
FORECAST
Extrapolates future values based on existing x and y values.
Syntax
FORECAST(Value; DataY; DataX)
Value is the x value, for which the y value on the linear regression is to be returned.
DataY is the array or range of known y's.
DataX is the array or range of known x's.
Приклад
=FORECAST(50;A1:A50;B1;B50) returns the Y value expected for the X value of 50 if the X and Y values in both references are linked by a linear trend.
FORECAST.LINEAR
Extrapolates future values based on existing x and y values.
Syntax
FORECAST.LINEAR(Value; DataY; DataX)
Value is the x value, for which the y value on the linear regression is to be returned.
DataY is the array or range of known y's.
DataX is the array or range of known x's.
Приклад
=FORECAST.LINEAR(50;A1:A50;B1;B50) returns the Y value expected for the X value of 50 if the X and Y values in both references are linked by a linear trend.
NORM.S.DIST
Returns the standard normal cumulative distribution function. The distribution has a mean of zero and a standard deviation of one.
Syntax
NORM.S.DIST(Number; Cumulative)
Number is the value to which the standard normal cumulative distribution is calculated.
Інтегральний: 0 або FALSE - обчислюється функція щільності ймовірності. Інші значення або TRUE - обчислюється інтегральна функція розподілу.
Приклади
=NORM.S.DIST(1;0) returns 0.2419707245.
=NORM.S.DIST(1;1) returns 0.8413447461. The area below the standard normal distribution curve to the left of X value 1 is 84% of the total area.
NORM.S.INV
Повертає обернений стандартний нормальний інтегральний розподіл.
Syntax
NORM.S.INV(Number)
Число: ймовірність, для якої обчислюється обернений стандартний нормальний розподіл.
Приклад
=NORM.S.INV(0.908789) returns 1.333334673.
NORMSDIST
Returns the standard normal cumulative distribution function. The distribution has a mean of zero and a standard deviation of one.
It is GAUSS(x)=NORMSDIST(x)-0.5
Syntax
NORMSDIST(Number)
Number is the value to which the standard normal cumulative distribution is calculated.
Приклад
=NORMSDIST(1) returns 0.84. The area below the standard normal distribution curve to the left of X value 1 is 84% of the total area.
NORMSINV
Повертає обернений стандартний нормальний інтегральний розподіл.
Syntax
NORMSINV(Number)
Число: ймовірність, для якої обчислюється обернений нормальний стандартний розподіл.
Приклад
=NORMSINV(0.908789) returns 1.3333.
PERMUT
Returns the number of permutations for a given number of objects.
Syntax
PERMUT(Count1; Count2)
Count1 is the total number of objects.
Count2 is the number of objects in each permutation.
Приклад
=PERMUT(6;3) returns 120. There are 120 different possibilities, to pick a sequence of 3 playing cards out of 6 playing cards.
PERMUTATIONA
Returns the number of permutations for a given number of objects (repetition allowed).
Syntax
PERMUTATIONA(Count1; Count2)
Count1 is the total number of objects.
Count2 is the number of objects in each permutation.
Приклад
How often can 2 objects be selected from a total of 11 objects?
=PERMUTATIONA(11;2) returns 121.
=PERMUTATIONA(6;3) returns 216. There are 216 different possibilities to put a sequence of 3 playing cards together out of six playing cards if every card is returned before the next one is drawn.
PROB
Returns the probability that values in a range are between two limits. If there is no End value, this function calculates the probability based on the principle that the Data values are equal to the value of Start.
Syntax
PROB(Data; Probability; Start; End)
Data is the array or range of data in the sample.
Probability is the array or range of the corresponding probabilities.
Start is the start value of the interval whose probabilities are to be summed.
End (optional) is the end value of the interval whose probabilities are to be summed. If this parameter is missing, the probability for the Start value is calculated.
Приклад
=PROB(A1:A50;B1:B50;50;60) returns the probability with which a value within the range of A1:A50 is also within the limits between 50 and 60. Every value within the range of A1:A50 has a probability within the range of B1:B50.
RANK
Returns the rank of a number in a sample.
Syntax
RANK(Value; Data; Type)
Value is the value, whose rank is to be determined.
Data is the array or range of data in the sample.
Type (optional) is the sequence order.
Type = 0 means descending from the last item of the array to the first (this is the default),
Type = 1 means ascending from the first item of the range to the last.
Приклад
=RANK(A10;A1:A50) returns the ranking of the value in A10 in value range A1:A50. If Value does not exist within the range an error message is displayed.
RANK.AVG
Returns the statistical rank of a given value, within a supplied array of values. If there are duplicate values in the list, the average rank is returned.
The difference between RANK.AVG and RANK.EQ occurs when there are duplicates in the list of values. The RANK.EQ function returns the lower rank, whereas the RANK.AVG function returns the average rank.
Syntax
RANK.AVG(Value; Data; Type)
Value is the value, whose rank is to be determined.
Data is the array or range of data in the sample.
Type (optional) is the sequence order.
Type = 0 means descending from the last item of the array to the first (this is the default),
Type = 1 means ascending from the first item of the range to the last.
Приклад
=RANK.AVG(A10;A1:A50) returns the ranking of the value in A10 in value range A1:A50. If Value does not exist within the range an error message is displayed.
RANK.EQ
Returns the statistical rank of a given value, within a supplied array of values. If there are duplicate values in the list, these are given the same rank.
The difference between RANK.AVG and RANK.EQ occurs when there are duplicates in the list of values. The RANK.EQ function returns the lower rank, whereas the RANK.AVG function returns the average rank.
Syntax
RANK.EQ(Value; Data; Type)
Value is the value, whose rank is to be determined.
Data is the array or range of data in the sample.
Type (optional) is the sequence order.
Type = 0 means descending from the last item of the array to the first (this is the default),
Type = 1 means ascending from the first item of the range to the last.
Приклад
=RANK.EQ(A10;A1:A50) returns the ranking of the value in A10 in value range A1:A50. If Value does not exist within the range an error message is displayed.
SKEW
Повертає асиметрію розподілу.
Syntax
SKEW(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges.
Приклад
=SKEW(A1:A50) calculates the value of skew for the data referenced.
SLOPE
Returns the slope of the linear regression line. The slope is adapted to the data points set in the y and x values.
Syntax
SLOPE(DataY; DataX)
DataY is the array or matrix of Y data.
DataX is the array or matrix of X data.
Приклад
=SLOPE(A1:A50;B1:B50)
STANDARDIZE
Converts a random variable to a normalized value.
Syntax
STANDARDIZE(Number; Mean; StDev)
Number is the value to be standardized.
Mean is the arithmetic mean of the distribution.
StDev is the standard deviation of the distribution.
Приклад
=STANDARDIZE(11;10;1) returns 1. The value 11 in a normal distribution with a mean of 10 and a standard deviation of 1 is as much above the mean of 10, as the value 1 is above the mean of the standard normal distribution.
STDEV
Estimates the standard deviation based on a sample.
Syntax
STDEV(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing a sample based on an entire population.
Приклад
=STDEV(A1:A50) returns the estimated standard deviation based on the data referenced.
STDEV.P
Calculates the standard deviation based on the entire population.
Syntax
STDEV.P(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing an entire population.
Приклад
=STDEV.P(A1:A50) returns a standard deviation of the data referenced.
STDEV.S
Calculates the standard deviation based on sample of the population.
Syntax
STDEV.S(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing a sample of the population.
Приклад
=STDEV.S(A1:A50) returns a standard deviation of the data referenced.
STDEVA
Calculates the standard deviation of an estimation based on a sample.
Syntax
STDEVA(Value1; Value2; ...; Value30)
Value1, Value2, ..., Value30 are values or ranges representing a sample derived from an entire population. Text has the value 0.
Приклад
=STDEVA(A1:A50) returns the estimated standard deviation based on the data referenced.
STDEVP
Calculates the standard deviation based on the entire population.
Syntax
STDEVP(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing an entire population.
Приклад
=STDEVP(A1:A50) returns a standard deviation of the data referenced.
STDEVPA
Calculates the standard deviation based on the entire population.
Syntax
STDEVPA(Value1; Value2; ...; Value30)
Value1, Value2, ..., Value30 are values or ranges representing an entire population. Text has the value 0.
Приклад
=STDEVPA(A1:A50) returns the standard deviation of the data referenced.
STEYX
Returns the standard error of the predicted y value for each x in the regression.
Syntax
STEYX(DataY; DataX)
DataY is the array or matrix of Y data.
DataX is the array or matrix of X data.
Приклад
=STEYX(A1:A50;B1:B50)
T.DIST
Повертає t-розподіл.
Syntax
T.DIST(Number; DegreesFreedom; Cumulative)
Число: значення, для якого обчислюється t-розподіл.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Інтегральний = 0 або FALSE - повертає функцію щільності ймовірностей; 1 або TRUE - повертає інтегральну функцію розподілу.
Приклад
=T.DIST(1; 10; TRUE) returns 0.8295534338
T.DIST.2T
Calculates the two-tailed Student's T Distribution, which is a continuous probability distribution that is frequently used for testing hypotheses on small sample data sets.
Syntax
T.DIST.2T(Number; DegreesFreedom)
Число: значення, для якого обчислюється t-розподіл.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Приклад
=T.DIST.2T(1; 10) returns 0.3408931323.
T.DIST.RT
Calculates the right-tailed Student's T Distribution, which is a continuous probability distribution that is frequently used for testing hypotheses on small sample data sets.
Syntax
T.DIST.RT(Number; DegreesFreedom)
Число: значення, для якого обчислюється t-розподіл.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Приклад
=T.DIST.RT(1; 10) returns 0.1704465662.
T.INV
Повертає обернений однобічний t-розподіл (розподіл Ст'юдента).
Syntax
T.INV(Number; DegreesFreedom)
Number is the probability associated with the one-tailed t-distribution.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Приклад
=T.INV(0.1;6) returns -1.4397557473.
T.INV.2T
Calculates the inverse of the two-tailed Student's T Distribution , which is a continuous probability distribution that is frequently used for testing hypotheses on small sample data sets.
Syntax
T.INV.2T(Number; DegreesFreedom)
Number is the probability associated with the two-tailed t-distribution.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Приклад
=T.INV.2T(0.25; 10) returns 1.221255395.
T.TEST
Returns the probability associated with a Student's t-Test.
Syntax
T.TEST(Data1; Data2; Mode; Type)
Data1 is the dependent array or range of data for the first record.
Data2 is the dependent array or range of data for the second record.
Mode = 1 calculates the one-tailed test, Mode = 2 the two- tailed test.
Type is the kind of t-test to perform. Type 1 means paired. Type 2 means two samples, equal variance (homoscedastic). Type 3 means two samples, unequal variance (heteroscedastic).
Приклад
=T.TEST(A1:A50;B1:B50;2;2)
TDIST
Повертає обернений t-розподіл (розподіл Ст'юдента).
Syntax
TDIST(Number; DegreesFreedom; Mode)
Число: значення, для якого обчислюється t-розподіл.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Mode = 1 returns the one-tailed test, Mode = 2 returns the two-tailed test.
Приклад
=TDIST(12;5;1)
TINV
Повертає обернений t-розподіл (розподіл Ст'юдента).
Syntax
TINV(Number; DegreesFreedom)
Number is the probability associated with the two-tailed t-distribution.
DegreesFreedom is the number of degrees of freedom for the t-distribution.
Приклад
=TINV(0.1;6) returns 1.94
TTEST
Returns the probability associated with a Student's t-Test.
Syntax
TTEST(Data1; Data2; Mode; Type)
Data1 is the dependent array or range of data for the first record.
Data2 is the dependent array or range of data for the second record.
Mode = 1 calculates the one-tailed test, Mode = 2 the two- tailed test.
Type is the kind of t-test to perform. Type 1 means paired. Type 2 means two samples, equal variance (homoscedastic). Type 3 means two samples, unequal variance (heteroscedastic).
Приклад
=TTEST(A1:A50;B1:B50;2;2)
VAR
Estimates the variance based on a sample.
Syntax
VAR(Number1 ; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing a sample based on an entire population.
Приклад
=VAR(A1:A50)
VAR.P
Calculates a variance based on the entire population.
Syntax
VAR.P(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing an entire population.
Приклад
=VAR.P(A1:A50)
VAR.S
Estimates the variance based on a sample.
Syntax
VAR.S(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing a sample based on an entire population.
Приклад
=VAR.S(A1:A50)
VARA
Estimates a variance based on a sample. The value of text is 0.
Syntax
VARA(Value1; Value2; ...; Value30)
Value1, Value2, ..., Value30 are values or ranges representing a sample derived from an entire population. Text has the value 0.
Приклад
=VARA(A1:A50)
VARP
Calculates a variance based on the entire population.
Syntax
VARP(Number1; Number2; ...; Number30)
Number1, Number2, ..., Number30 are numerical values or ranges representing an entire population.
Приклад
=VARP(A1:A50)
VARPA
Calculates the variance based on the entire population. The value of text is 0.
Syntax
VARPA(Value1; Value2; ...; Value30)
Value1, Value2, ..., Value30 are values or ranges representing an entire population.
Приклад
=VARPA(A1:A50)
WEIBULL
Повертає значення розподілу Вейбула.
The Weibull distribution is a continuous probability distribution, with parameters Alpha > 0 (shape) and Beta > 0 (scale).
Якщо значення C дорівнює 0, то WEIBULL обчислює функцію щільності ймовірності.
If C is 1, WEIBULL calculates the cumulative distribution function.
Syntax
WEIBULL(Number; Alpha; Beta; C)
Number is the value at which to calculate the Weibull distribution.
Alpha is the shape parameter of the Weibull distribution.
Beta is the scale parameter of the Weibull distribution.
C indicates the type of function.
Приклад
=WEIBULL(2;1;1;1) returns 0.86.
See also the Wiki page.
WEIBULL.DIST
Повертає значення розподілу Вейбула.
The Weibull distribution is a continuous probability distribution, with parameters Alpha > 0 (shape) and Beta > 0 (scale).
Якщо значення C дорівнює 0, то WEIBULL.DIST обчислює функцію щільності ймовірності.
If C is 1, WEIBULL.DIST calculates the cumulative distribution function.
Syntax
WEIBULL.DIST(Number; Alpha; Beta; C)
Number is the value at which to calculate the Weibull distribution.
Alpha is the shape parameter of the Weibull distribution.
Beta is the scale parameter of the Weibull distribution.
C indicates the type of function.
Приклад
=WEIBULL.DIST(2;1;1;1) returns 0.8646647168.
See also the Wiki page.