Statistical Functions Part Two
FDIST
Calculates the values of an F distribution.
Syntax
FDIST(Number; degrees_freedom_1; degrees_freedom_2)
Number is the value for which the F distribution is to be calculated.
degrees_freedom_1 is the degrees of freedom in the numerator in the F distribution.
degrees_freedom_2 is the degrees of freedom in the denominator in the F distribution.
Example
=FDIST(0.8; 8; 12) yields 0.61.
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; degrees_freedom_1; degrees_freedom_2)
Number is probability value for which the inverse F distribution is to be calculated.
degrees_freedom_1 is the number of degrees of freedom in the numerator of the F distribution.
degrees_freedom_2 is the number of degrees of freedom in the denominator of the F distribution.
Example
=FINV(0.5; 5; 10) yields 0.93.
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.
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.
FTEST
Returns the result of an F test.
Syntax
FTEST(Data_1; Data_2)
Data_1 is the first record array.
Data_2 is the second record array.
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.
GAMMADIST
Returns the values of a Gamma distribution.
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 = 0 calculates the density function C = 1 the distribution.
Example
=GAMMADIST(2; 1; 1; 1) yields 0.86.
GAMMAINV
Returns the inverse of the Gamma cumulative distribution. 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.
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.
GAUSS
Returns the standard normal cumulative distribution.
Syntax
GAUSS(number)
Number is the value for which the integral value of the normalized standard distribution is to be calculated.
Example
GAUSS(0.19) = 0.08
GAUSS(0.0375) = 0.01
GEOMEAN
Returns the geometric mean of a sample.
Syntax
GEOMEAN(Number 1; Number 2; ...Number 30)
Number 1, Number 2,...Number 30 are numeric arguments or ranges that represent a random sample.
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 30)
Number 1,Number 2,...Number 30 are up to 30 values or ranges, that can be used to calculate the harmonic mean.
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; N_sample; Successes; N_population)
X is the number of results achieved in the random sample.
N_sample is the size of the random sample.
Successes is the number of possible results in the total population.
N_population is the size of the total population.
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.
TRIMMEAN
Returns the mean of a data set without the Alpha percent of data at the margins.
Syntax
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.
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.
ZTEST
Returns the two-tailed P value of a z test with standard distribution.
Syntax
ZTEST(Data; Number; Sigma)
Data is the array of the data.
Number is the value to be tested.
Sigma (optional) is the standard deviation of the total population. If this argument is missing, the standard deviation of the sample in question will be processed.
Example
=ZTEST(A1:A50; 12) yields the probability that value 12 belongs to the standard distribution of the total population of data in A1:A50.
Index
FINV function
inverse F probability distribution
FISHER function
FISHERINV function
inverse of Fisher transformation
FTEST function
FDIST function
GAMMAINV function
GAMMALN function
natural logarithm of Gamma function
GAMMADIST function
GAUSS function
normal distribution, standard
GEOMEAN function
means,geometric
TRIMMEAN function
means,of data set without margin data
ZTEST function
HARMEAN function
means,harmonic
HYPGEOMDIST function
sampling without replacement
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