Statistics

Description

The Statistics class implements algorithm of statistical functions.

Properties inherited from IStatistics

  Property name Brief description
The Errors property returns a message showing all the errors and warnings occurred during calculations.
The Status property returns the calculation execution status.

Methods inherited from the IStatistics

  Brief description
The AveDev method returns the average of absolute values of data point deviations from the average.
The Average method returns arithmetic mean of its arguments.
The AverageDcml method returns arithmetic mean of arguments of the Decimal type.
The BetaDist method returns the integral function of beta probability density.
The BetaInv method returns the inverse function for integral function of beta probability density.
The BinomDist method returns a separate value for binomial distribution.
The ChiDist method returns a single-sided probability for chi-square distribution.
The ChiInv method returns the value inverse to single-sided probability of chi-square distribution.
The ChiTest method returns the independence criterion: value of χ2 (chi-square) distribution for statistical distribution and corresponding number of degrees of freedom.
The Confidence method returns a confidence interval for the population mean.
The Correl method returns correlation coefficient between two series.
The Count property returns the number of non-empty elements in the array.
The CountBlank property returns the number of empty elements in the array.
The Covar method returns covariance, that is, the mean of deviation products for each pair of data points.
The CritBinom method returns the least value for which integral binomial distribution is greater or equal to the specified criterion.
The DevSq method returns the sum of data points' squared deviations from their mean.
The Dispersion method estimates variance of the sample.
The DispersionDcml method estimates variance by sample of the Decimal type.
The DispersionP method calculates variance for population.
The DurbinWatsonProbabilities method calculates probability values of Durbin-Watson statistics range bounds.
The DurbinWatsonStats method returns approximated values of Durbin-Watson statistics range bounds taken from tables.
The ExponDist method returns an exponential distribution.
The FDist method returns the F-distribution of probability.
The FInv method returns the inverse value for F-distribution of probabilities.
The Fisher method returns the Fisher transform for the Value argument.
The FisherInv method returns the inverse Fisher transform.
The Forecast method calculates a future value by existing values.
The Frequency method calculates the frequency of value occurrences in a value range and returns a number array.
The FTest method returns the F-test result.
The GammaDist method returns gamma distribution.
The GammaFunc property returns value of Gamma function for selected argument.
The GammaInv method returns the inverse Gamma distribution.
The GammaLn method returns the natural logarithm of the Gamma function.
The GeoMean method returns the geometrical mean of positive number array values.
The Growth method calculates predictable exponential growth based on existing data.
The HarMean method returns the harmonic mean of a data set.
The HypGeomDist method returns the hypergeometric distribution.
The Intercept method calculates the point, at which a line intersects the Y axis.
The JarqueBeraStat method returns the Jarque-Bera statistics.
The Kurt method returns data set kurtosis.
The KurtDcml method returns kurtosis of data set of the Decimal type.
The Large method returns the k-th greatest value from a data set.
The Linest method estimates statistics for a series using the least squares method.
The Logest method returns exponential trend parameters.
The LogInv method returns the inverse function of a lognormal distribution.
The LogNormDist method returns the integral logarithmic normal distribution.
The Max method returns the maximum value from the specified set of values.
The MaxDcml method returns the greatest value from the set of values of the Decimal type.
The Median method returns the median of specified numbers.
The MedianDcml method returns median of the set numbers of the Decimal type.
The Min method returns the minimum value from a specified set of values.
The MaxDcml method returns the least value from the set of values of the Decimal type.
The Mode method returns a mode, that is, the most frequently occurring value in a data array.
The NegBinomDist method returns the negative binomial distribution.
The NormDist method returns the normal distribution function for the specified mean and standard deviation.
The NormInv method returns the inverse normal distribution.
The NormsDist method returns the standard normal distribution.
The NormsInv method returns the inverse value for standard normal distribution.
The Pearson method returns the Pearson correlation coefficient (r).
The Percentile method returns the k-th percentile for interval values.
The PercentileDcml method returns the k-th percentile for values of the Decimal type from the set interval.
The PercentRank method returns the rank of a value in a data set as the value percentage in the data set.
The Permut method returns the number of permutations for the specified number of objects.
The Poisson method returns the Poisson distribution.
The Prob method returns the probability for an interval value to be within the specified limits.
The Quartile method returns the data set quartile.
The QuartileDcml method returns quartile of data set of the Decimal type.
The Rank method returns the rank of a number in a number array.
The Rsq method returns the squared Pearson correlation coefficient.
The Skew method returns the distribution skewness.
The SkewDcml method returns skewness of distribution for data of the Decimal type.
The Slope method returns the slope of the linear regression line.
The Small method returns the k-th least value of a data set.
The Standardize method returns a normalized value for distribution with medium or standard deviation.
The StDev method estimates standard deviation by a sample.
The StDevDcml method estimates standard deviation by sample of the Decimal type.
The StDevP method calculates standard deviation of the population.
The SteYX method returns the standard error of predicted Y values for each X value in a regression.
The TDist method returns the percent points (probability) for the Student's t-distribution.
The TInv method returns the t-value of the Student's distribution as the function of probability and the number of degrees of freedom.
The Trend method returns values for a linear trend.
The TrimMean method returns the data set interior mean.
The TTest method returns the probability for the Student's criterion.
The Weibull method returns the Weibull distribution.
The ZTest method returns the bilateral P-value of the z-test.

See also:

Stat Assembly Classes