Statistics

Description

The Statistics class implements algorithm of statistical functions.

Properties inherited from IStatistics

  Property name Brief description
Errors

The Errors property returns a message showing all the errors and warnings occurred during calculations.
Status

The Status property returns the calculation execution status.

Methods inherited from the IStatistics

  Method name

Brief description
AveDev

The AveDev method returns the average of absolute values of data point deviations from the average.
Average

The Average method returns arithmetic mean of its arguments.
AverageDcml

The AverageDcml method returns arithmetic mean of arguments of the Decimal type.
BetaDist

The BetaDist method returns the integral function of beta probability density.
BetaInv

The BetaInv method returns the inverse function for integral function of beta probability density.
BinomDist

The BinomDist method returns a separate value for binomial distribution.
ChiDist

The ChiDist method returns a single-sided probability for chi-square distribution.
ChiInv

The ChiInv method returns the value inverse to single-sided probability of chi-square distribution.
ChiTest

The ChiTest method returns the independence criterion: value of χ2 (chi-square) distribution for statistical distribution and corresponding number of degrees of freedom.
Confidence

The Confidence method returns a confidence interval for the population mean.
Correl

The Correl method returns correlation coefficient between two series.
Count

The Count property returns the number of non-empty elements in the array.
CountBlank

The CountBlank property returns the number of empty elements in the array.
Covar

The Covar method returns covariance, that is, the mean of deviation products for each pair of data points.
CritBinom

The CritBinom method returns the least value for which integral binomial distribution is greater or equal to the specified criterion.
DevSq

The DevSq method returns the sum of data points' squared deviations from their mean.
Dispersion

The Dispersion method estimates variance of the sample.
DispersionDcml

The DispersionDcml method estimates variance by sample of the Decimal type.
DispersionP

The DispersionP method calculates variance for population.
DurbinWatsonProbabilities

The DurbinWatsonProbabilities method calculates probability values of Durbin-Watson statistics range bounds.
DurbinWatsonStats

The DurbinWatsonStats method returns approximated values of Durbin-Watson statistics range bounds taken from tables.
ExponDist

The ExponDist method returns an exponential distribution.
FDist

The FDist method returns the F-distribution of probability.
FInv

The FInv method returns the inverse value for F-distribution of probabilities.
Fisher

The Fisher method returns the Fisher transform for the Value argument.
FisherInv

The FisherInv method returns the inverse Fisher transform.
Forecast

The Forecast method calculates a future value by existing values.
Frequency

The Frequency method calculates the frequency of value occurrences in a value range and returns a number array.
FTest

The FTest method returns the F-test result.
GammaDist

The GammaDist method returns gamma distribution.
GammaFunc

The GammaFunc property returns value of Gamma function for selected argument.
GammaInv

The GammaInv method returns the inverse Gamma distribution.
GammaLn

The GammaLn method returns the natural logarithm of the Gamma function.
GeoMean

The GeoMean method returns the geometrical mean of positive number array values.
Growth

The Growth method calculates predictable exponential growth based on existing data.
HarMean

The HarMean method returns the harmonic mean of a data set.
HypGeomDist

The HypGeomDist method returns the hypergeometric distribution.
Intercept

The Intercept method calculates the point, at which a line intersects the Y axis.
JarqueBeraStat

The JarqueBeraStat method returns the Jarque-Bera statistics.
Kurt

The Kurt method returns data set kurtosis.
KurtDcml

The KurtDcml method returns kurtosis of data set of the Decimal type.
Large

The Large method returns the k-th greatest value from a data set.
Linest

The Linest method estimates statistics for a series using the least squares method.
Logest

The Logest method returns exponential trend parameters.
LogInv

The LogInv method returns the inverse function of a lognormal distribution.
LogNormDist

The LogNormDist method returns the integral logarithmic normal distribution.
Max

The Max method returns the maximum value from the specified set of values.
MaxDcml

The MaxDcml method returns the greatest value from the set of values of the Decimal type.
Median

The Median method returns the median of specified numbers.
MedianDcml

The MedianDcml method returns median of the set numbers of the Decimal type.
Min

The Min method returns the minimum value from a specified set of values.
MinDcml

The MaxDcml method returns the least value from the set of values of the Decimal type.
Mode

The Mode method returns a mode, that is, the most frequently occurring value in a data array.
NegBinomDist

The NegBinomDist method returns the negative binomial distribution.
NormDist

The NormDist method returns the normal distribution function for the specified mean and standard deviation.
NormInv

The NormInv method returns the inverse normal distribution.
NormsDist

The NormsDist method returns the standard normal distribution.
NormsInv

The NormsInv method returns the inverse value for standard normal distribution.
Pearson

The Pearson method returns the Pearson correlation coefficient (r).
Percentile

The Percentile method returns the k-th percentile for interval values.
PercentileDcml

The PercentileDcml method returns the k-th percentile for values of the Decimal type from the set interval.
PercentRank

The PercentRank method returns the rank of a value in a data set as the value percentage in the data set.
Permut

The Permut method returns the number of permutations for the specified number of objects.
Poisson

The Poisson method returns the Poisson distribution.
Prob

The Prob method returns the probability for an interval value to be within the specified limits.
Quartile

The Quartile method returns the data set quartile.
QuartileDcml

The QuartileDcml method returns quartile of data set of the Decimal type.
Rank

The Rank method returns the rank of a number in a number array.
Rsq

The Rsq method returns the squared Pearson correlation coefficient.
Skew

The Skew method returns the distribution skewness.
SkewDcml

The SkewDcml method returns skewness of distribution for data of the Decimal type.
Slope

The Slope method returns the slope of the linear regression line.
Small

The Small method returns the k-th least value of a data set.
Standardize

The Standardize method returns a normalized value for distribution with medium or standard deviation.
StDev

The StDev method estimates standard deviation by a sample.
StDevDcml

The StDevDcml method estimates standard deviation by sample of the Decimal type.
StDevP

The StDevP method calculates standard deviation of the population.
SteYX

The SteYX method returns the standard error of predicted Y values for each X value in a regression.
TDist

The TDist method returns the percent points (probability) for the Student's t-distribution.
TInv

The TInv method returns the t-value of the Student's distribution as the function of probability and the number of degrees of freedom.
Trend

The Trend method returns values for a linear trend.
TrimMean

The TrimMean method returns the data set interior mean.
TTest

The TTest method returns the probability for the Student's criterion.
Weibull

The Weibull method returns the Weibull distribution.
ZTest

The ZTest method returns the bilateral P-value of the z-test.

See also:

Stat Assembly Classes