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Statistics Functions Index ...
Statistical Functions
Continuous Data
Location
AVERAGE - average (arithmetic mean) of a dataset
AVERAGE_q - average (arithmetic mean) of a dataset
COUNT - count of numeric rows in a dataset
COUNT_q - count of numeric rows in a dataset
GEOMEAN - geometric mean of a dataset
GEOMEAN_q - geometric mean of a dataset
HARMEAN - harmonic mean of a dataset
HARMEAN_q - harmonic mean of a dataset
MEDIAN - median value in a dataset
MEDIAN_q - median value in a dataset
MODE - mode (most frequent value) of a dataset
MODE_q - mode (most frequent value) of a dataset
TRIMMEAN - mean of the interior of a dataset
TRIMMEAN_q - mean of the interior of a dataset
Dispersion
AVEDEV - average deviation
AVEDEV_q - average deviation
COVAR - covariance
COVAR_q - covariance
COVARIANCE_P - population covariance
COVARIANCE_S - sample covariance
DEVSQ - deviation squared
DEVSQ_q - deviation squared
IPR - inter-percentile range
IQR - inter-quartile range
KURTOSIS_P - population kurtosis
KURTOSIS_S - sample kurtosis
LARGE - kth largest value in a dataset
LARGE_q - kth largest value in a dataset
PERCENTILE - percentile
PERCENTILE_q - percentile
PERCENTILE_EXC - percentile
PERCENTILES - any number of percentiles from a set of values
PERCENTRANK - rank of a value in a dataset as a percentage of the dataset
PERCENTRANK_q - rank of a value in a dataset as a percentage of the dataset
PERCENTRANK_EXC - rank of a value in a dataset
PERCENTRANKS - relative standing of values within a dataset
QUARTILE - specified quartile of a dataset
QUARTILE_q - specified quartile of as dataset
QUARTILE_EXC - specified quartile of a dataset
RANGE - difference between the minimum and maximum values in a dataset
RANK - rank of a number in a list of numbers
RANK_q - rank of a number in a list of numbers
RANKAVG - average rank of a number in a list of numbers
SKEWNESS_P - skewness for an entire population
SKEWNESS_S - sample skewness
SMALL - kth smallest value in a dataset
SMALL_q - kth smallest value in a dataset
STDEV - estimated standard deviation based on a sample
STDEV_q - estimated standard deviation based on a sample
STDEVP - standard deviation for an entire population
STDEVP_q - standard deviation for an entire population
STDEV_P - standard deviation for an entire population
STDEV_S - estimated standard deviation based on a sample
VAR_P - variance for an entire population
VAR_S - estimate variance based on a sample
Shape
KURT - kurtosis of a dataset
KURT_q - kurtosis of a dataset
SKEW - degree of asymmetry of a distribution
SKEW_q - degree of asymmetry of a distribution
VAR - estimate variance based on a sample
VAR_q - estimate variance based on a sample
VARP - variance for an entire population
VARP_q - population variance
Statistical Inference
Specific Tests
CHISQ - chi-square (χ2) statistic
CHISQ_q - chi-square (χ2) statistic
CHISQ2 - chi-square (χ2) statistic
CHISQ2_q - chi-square (χ2) statistic
CHISQN - chi-square (χ2) statistic for data in third-normal form
CHISQN_q - chi-square (χ2) statistic for data in third-normal form
CHISQN2 - chi-square (χ2) statistic for data in third-normal form
CHISQN2_q - chi-square (χ2) statistic for data in third-normal form
CHITEST - Pearson chi-square test for independence
CHITEST_q - Pearson chi-square test for independence
CHITEST2 - Pearson chi-square test for independence
CHITEST2_q - Pearson chi-square test for independence
CHITESTN - Pearson chi-square test for independence on data in third-normal form
CHITESTN_q - Pearson chi-square test for independence on data in third-normal form
CHITESTN2 - Pearson chi-square test for independence on data in third-normal form
CHITESTN2_q - Pearson chi-square test for independence on data in third-normal form
FTEST - result of an F-test
FTEST_q - result of an F-test
KSTEST - compare a sample with a reference probability distribution
KSTEST_q - compare a sample with a reference probability distribution
KSTEST2 - two-sample Kolmogorov-Smirnov test to compare the distributions of the values in two samples
KSTEST2_q - two-sample Kolmogorov-Smirnov test to compare the distributions of the values in two samples
SFTEST - Shapiro-Francia test for the composite hypothesis of normality
SFTEST_q - Shapiro-Francia test for the composite hypothesis of normality
SWTEST - Shapiro and Wilk’s W statistic and its p-value
SWTEST_q - Shapiro and Wilk’s W statistic and its p-value
TTEST - probability associated with Student’s t-test
TTEST_q - probability associated with Student’s t-test
TTEST_INDEP - t-test on data in two samples assuming equal variance
TTEST_INDEPU - t-test on data in two samples assuming unequal variance
TTEST_PAIRED - t-test on data in two samples assuming unequal variance
ZTEST - one-tailed probability of a Z-test
ZTEST_q - one-tailed probability of a Z-test
Correlation and Regression Analysis
Correlations
CORREL - correlation coefficient between two datasets
CORREL_q - correlation coefficient between two datasets
PEARSON - Pearson product-moment coefficient between two datasets
PEARSON_q - Pearson product-moment coefficient between two datasets
PROB - probability that values in a range are between two limits
PROB_q - probability that values in a range are between two limits
RSQ - Pearson product moment correlation coefficient through data points in known-y’s and known-x’s
RSQ_q - Pearson product moment correlation coefficient through data points in known-y’s and known-x’s
Linear Regressions
EXPPRED - predicted value for a dependent variable using the coeffiecients from a previously run mutlivariate exponential regression
FORECAST - future value by using existing values
FORECAST_q - future value by using existing values
GROWTH - predicted exponential growth by using existing data
GROWTH_q - predicted exponential growth by using existing data
GROWTHMX - values along an exponential trend
GROWTHMX_q - values along an exponential trend
INTERCEPT - point at which a line will intersect the y-axis by using existing x-values and y-values
INTERCEPT_q - point at which a line will intersect the y-axis by using existing x-values and y-values
LINEST - ordinary least squares (OLS) solution for a series of x- and y-values
LINEST_q - ordinary least squares (OLS) solution for a series of x- and y-values
LMPRED - predicted value for a dependent variable using the coefficients from a previously run multivariate linear regression
LOGEST - exponential curve that best fits a series of x- and y-values
LOGEST_q - exponential curve that best fits a series of x- and y-values
SLOPE - slope of the linear regression through the data points in the known x-values and y-values
SLOPE_q - slope of the linear regression through the data points in the known x-values and y-values
TREND - values along a linear trend
TREND_q - values along a linear trend
TRENDMX - values along a linear trend
TRENDMX_q - values along a linear trend
WLS - Weighted least squares solution for a series of x- and y-values and their associated weights
WLS_q - Weighted least squares solution for a series of x- and y-values and their associated weights
Logistic Regressions
LOGIT - binary logistic regression coefficients from a table of x-values (the independent variables) and dichotomous y-values (the dependent variable)
LOGITPRED - probability that Y = 1 given a set of coefficients from a logistic regression and a set of x-values
LOGITPROB - probability that Y = 1 given a set of coefficients from a logistic regression and a set of x-values
LOGITSUM - binary logistic regression coefficients from a table of grouped x-values (the independent variables) with counts of the successes and failures for each group
ROCTable - calculation of the area under the ROC curve
VIF - R-squared
Data Collection
Sampling
KMEANS - k-means clustering in N-dimensions
STEYX - standard error of the predicted y-value for each x in a regression
STEYX_q - standard error of the predicted y-value for each x in a regression
Interobserver Agreement
ICC - intra-class coefficient
ICC_TV - intra-class coefficient
KAPPA_COHEN - Cohen’s kappa (κ) or weighted kappa as an index of inter-rater agreement between 2 raters
KAPPA_COHEN_TV - Cohen’s kappa (κ) or weighted kappa as an index of inter-rater agreement between 2 raters
KAPPA_FLEISS - Fleiss’ kappa (κ) as an index of inter-rater agreement between m raters on categorical data
KAPPA_FLEISS_TV - Fleiss’ kappa (κ) as an index of inter-rater agreement between m raters on categorical data
KENDALLT - Kendall’s tau (τ)
KENDALLT_TV - Kendall’s tau (τ)
KENDALLW - Kendall’s coefficient of concordance (w) as an index of inter-rater reliability for ordinal data
KENDALLW_TV - Kendall’s coefficient of concordance (w) as an index of inter-rater reliability for ordinal data
MCNEMAR - McNemar’s chi-squared test for symmetry of rows and columns in a two-dimensional contingency table
MCNEMAR_TV - McNemar’s chi-squared test for symmetry of rows and columns in a two-dimensional contingency table
PSIGNRANK - distribution function of the Wilcoxon Signed Rank statistic
RANK_AVG - ranks for a collection of x- and y-values
SPEARMAN - Spearman’s rank correlation coefficient (ρ)
SPEARMAN_TV - Spearman’s rank correlation coefficient (ρ)
WMPSR - Wilcoxon matched-pair signed-rank test
WMPSR_TV - Wilcoxon matched-pair signed-rank test
Probability Functions
Distributions
BETA_DIST - probability density function or cumulative distribution function of a beta distribution for x with shape parameters a and ß
BETADIST - beta cumulative probability density function
BETAINV - quartiles of the beta cumulative distribution function
BETAPDF - probability density function for the beta distribution
BINOM_DIST_RANGE - probability of a trial result using a binomial distribution
BINOMDIST - binomial distribution
BINOMINV - value of number of success in the binomial distribution given the cumulative distribution function
BIVAR - bivariate normal probabilities
CAUCHY - probability density function or the lower cumulative distribution function of the Cauchy distribution
CAUCHYINV - inverse lower cumulative distribution of the Cauchy distribution
CHI2NC - lower cumulative distribution function of the non-central chi-square distribution
CHI2NCINV - inverse of the lower cumulative distribution function of the non-central chi-square distribution
CHIDIST - one-tailed probability of the chi-square distribution
CHIINV - inverse of the one-tailed probability of the chi-square distribution
CHISQ_DIST - probability density or the lower cumulative probability of a chi-squared distribution for x and a number of degrees of freedom
CHISQ_DIST_RT - upper distribution of a chi-squared distribution for x and a number of degrees of freedom
CHISQ_INV - inverse of the left-tailed probability of a chi-squared distribution
CHISQ_INV_RT - inverse of the right-tailed probability of a chi-squared distribution
CHISQPDF - probability density function of the chi square distribution
CONFIDENCE - value that you can use to construct a confidence interval for a population mean
CONFIDENCE_NORM - confidence interval for a population mean
CONFIDENCE_T - confidence interval when you don't know the population standard deviation and are using the sample standard deviation instead
CRITBINOM - smallest value for the cumulative binomial distribution that is greater than or equal to a criterion value
DIGAMMA - digamma(z), the logarithmic derivative of the gamma function
EXPDIST - probability density function or the upper cumulative distribution function of the Exponential distribution
EXPONDIST - exponential distribution that is equivalent to the function used in EXCEL
EXPINV - inverse of the cumulative distribution function of the exponential distribution
F_DIST - probability density or the lower cumulative probability of an F-distribution for x and degrees of freedom for 2 independent random variables
F_DIST_RT - upper cumulative probability of an F-distribution for x and degrees of freedom for 2 independent random variables
FDIST - F probability distribution
FINV - inverse of the F probability distribution
FPDF - probability density function of the F distribution
FISHER - Fisher transformation at x
FISHERINV - inverse of the Fisher transformation
GAMMADIST - gamma distribution
GAMMAINV - inverse of the cumulative gamma distribution
GAMMAP - regularized gamma function P(a
GAMMAQ - regularized gamma function Q(a
GEOMETRIC - probability mass function of the geometric distribution
GEOMETRICP - cumulative distribution function of the geometric distribution
GEOMETRICINV - inverse of the cumulative distribution function of the geometric distribution
HYPGEOM_DIST - pmf or the cdf of the hypergeometric distribution
HYPGEOM_INV - quantiles of the hypergeometric distribution
HYPGEOMDIST - hypergeometric distribution
HYPGEOMDISTP - lower cumulative distribution of the hypergeometric function
HYPGEOMDISTPINV - inverse of the cumulative distribution function of the hypergeometric distribution
HYPGEOMDISTQ - upper cumulative distribution of the hypergeometric function
INVGAMMAP - inverse of the incomplete gamma function P(a
KScdf - cumulative probability P[Dn >= x] of the Kolmogorov-Smirnov distribution with sample size n at x
KSccdf - complementary cumulative probability P[Dn >= x] of the Kolmogorov-Smirnov distribution with sample size n at x
KSP - Kolmogorov-Smirnov (KS) cumulative distribution function
KSPINV - inverse of the Kolmogorov-Smirnov (KS) cumulative distribution function
KSQ - complementary Kolmogorov-Smirnov (KS) cumulative distribution function
KSQINV - inverse of the complementary Kolmogorov-Smirnov (KS) cumulative distribution function
LAPLACE - probability density function or the lower cumulative distribution function of the Laplace distribution
LAPLACEINV - inverse lower cumulative distribution of the Laplace distribution
LOGINV - inverse of the lognormal cumulative distribution function of x where ln(x) is normally distributed within the parameters mean and standard deviation
LOGISTIC - probability density function or the lower cumulative distribution function of the logistic distribution
LOGISTICINV - inverse lower cumulative distribution of the logistic distribution
LOGNORM_DIST - probability density function or the cumulative distributive function of the normal distribution of x
LOGNORM_INV - inverse of the lognormal distribution function of x
LOGNORMDIST - lognormal cumulative distribution function of x where ln(x) is normally distributed within the parameters mean and standard deviation
LOGNORMPDF - probability density function of the lognormal distribution
NCFCDF - lower cumulative distribution function of the non-central F distribution
NCFINV - inverse of the lower cumulative distribution function of the non-central F distribution
NCFPDF - probability density function of the non-central F distribution
NCHISQPDF - probability density function of the non-central chi square distribution
NCTCDF - lower cumulative distribution function of the non-central T distribution
NCTINV - inverse of the lower cumulative distribution function of the non-central T distribution
NCTPDF - probability density function of the non-central T distribution
NEGBINOM_DIST - probability mass function or the cumulative distributive function of the negative binomial distribution
NEGBINOMDIST - negative binomial distribution
NEGBINOMDISTP - cumulative distribution function of the negative binomial distribution
NEGBINOMINV - smallest value of x such that NEGBINOMDISTP(x
NEGHYPGEOM_DIST - probability mass function or the cumulative distributive function of the negative hypergeometric distribution
NEGHYPGEOM_INV - quantiles of the negative hypergeometric distribution
NORMAL - probability density function for the standard normal distribution
NORM_S_DIST - probability density function or the lower cumulative distribution function of the standard normal distribution in SQL Server
NORMDIST - normal distribution for the specified mean and standard deviation
NORMINV - inverse of the normal cumulative distribution function (cdf)
NORMSDIST - standard normal cumulative distribution function
NORMSINV - inverse of the standard normal distribution in SQL Server
POISSON - Poisson distribution
POISSON_DIST - probability mass function or the lower cumulative probability of a Poisson distribution for a given number of events occurring in a fixed interval given the rate
POISSONINV - inverse of the cumulative distribution function of the Poisson distribution
STANDARDIZE - normalized value from a distribution characterized by a mean and standard deviation
STUDENTST - Student’s t-distribution
T_DIST - probability density function and the left-tailed cumulative probability distribution of Student's t-distribution
T_DIST_2T - two-tailed cumulative probability distribution of Student's t-distribution
T_DIST_RT - right-tailed cumulative probability distribution of Student's t-distribution
TDIST - probability for the Student t-distribution where a numeric value (x) is a calculated value of t for which the probability is to be computed
T_INV - inverse of the left-tailed cumulative probability distribution of Student's t-distribution
T_INV_2T - inverse of the two-tailed distribution of Student's t-distribution
TINV - t-value of the Student's t-distribution as a function of the probability and the degrees of freedom
TPDF - probability density function of the T distribution
TRIGAMMA - trigamma(z) the second derviative of the natural log of the gamma function
UNIFORM - probability density function or the lower cumulative distribution function of the uniform distribution
UNIFORMINV - inverse of the lower cumulative distribution of the uniform distribution
WEIBULL - Weibull distribution
WEIBULLINV - inverse of the cumulative distribution function of the Weibull distribution
Combinatorics
BETA - beta function
BETAI - incomplete beta function
BICO - binomial coefficient
FACTLN - natural logarithm of a factorial
FACTORIALPOWER - rising or falling factorials
GAMMA - invoke the (complete) gamma function Γ(x)
GAMMAINC - incomplete gamma function
GAMMALN - natural logarithm of the (complete) gamma function Γ(x)
LCHOOSE - natural logarithm of the binomial coefficient
LPERMUT - natural logarithm of the PERMUT function
LPERMUTA - natural logarithm of the PERMUTATIONA function
MULTINOM - to calculate the probability distribution of the outcomes of a multinomial experiment
PERMUT - number of permutations for a given number objects that can be selected from a number of objects
PERMUTATIONA - number of permutations with replacement
STIRLING1 - stirling number of the first kind
STIRLING2 - stirling number of the second kind
Misc Functions
XLDB_STATISTICS_VERSION - version information for the XLeratorDB/statistics module
SAMPLE DATA - sample data for certain XLeratorDB/statistics functions documentation
ALL FUNCTIONS (alpahbetical)
AVEDEV - average deviation
AVEDEV_q - average deviation
AVERAGE - average (arithmetic mean) of a dataset
AVERAGE_q - average (arithmetic mean) of a dataset
BETA - beta function
BETA_DIST - probability density function or cumulative distribution function of a beta distribution for x with shape parameters a and ß
BETADIST - beta cumulative probability density function
BETAI - incomplete beta function
BETAINV - quartiles of the beta cumulative distribution function
BETAPDF - probability density function for the beta distribution
BICO - binomial coefficient
BINOM_DIST_RANGE - probability of a trial result using a binomial distribution
BINOMDIST - binomial distribution
BINOMINV - value of number of success in the binomial distribution given the cumulative distribution function
BIVAR - bivariate normal probabilities
CAUCHY - probability density function or the lower cumulative distribution function of the Cauchy distribution
CAUCHYINV - inverse lower cumulative distribution of the Cauchy distribution
CHI2NC - lower cumulative distribution function of the non-central chi-square distribution
CHI2NCINV - inverse of the lower cumulative distribution function of the non-central chi-square distribution
CHIDIST - one-tailed probability of the chi-square distribution
CHIINV - inverse of the one-tailed probability of the chi-square distribution
CHISQ - chi-square (χ2) statistic
CHISQ_DIST - probability density or the lower cumulative probability of a chi-squared distribution for x and a number of degrees of freedom
CHISQ_DIST_RT - upper distribution of a chi-squared distribution for x and a number of degrees of freedom
CHISQ_INV - inverse of the left-tailed probability of a chi-squared distribution
CHISQ_INV_RT - inverse of the right-tailed probability of a chi-squared distribution
CHISQ_q - chi-square (χ2) statistic
CHISQ2 - chi-square (χ2) statistic
CHISQ2_q - chi-square (χ2) statistic
CHISQN - chi-square (χ2) statistic for data in third-normal form
CHISQN_q - chi-square (χ2) statistic for data in third-normal form
CHISQN2 - chi-square (χ2) statistic for data in third-normal form
CHISQN2_q - chi-square (χ2) statistic for data in third-normal form
CHISQPDF - probability density function of the chi square distribution
CHITEST - Pearson chi-square test for independence
CHITEST_q - Pearson chi-square test for independence
CHITEST2 - Pearson chi-square test for independence
CHITEST2_q - Pearson chi-square test for independence
CHITESTN - Pearson chi-square test for independence on data in third-normal form
CHITESTN_q - Pearson chi-square test for independence on data in third-normal form
CHITESTN2 - Pearson chi-square test for independence on data in third-normal form
CHITESTN2_q - Pearson chi-square test for independence on data in third-normal form
CONFIDENCE - value that you can use to construct a confidence interval for a population mean
CONFIDENCE_NORM - confidence interval for a population mean
CONFIDENCE_T - confidence interval when you don't know the population standard deviation and are using the sample standard deviation instead
CORREL - correlation coefficient between two datasets
CORREL_q - correlation coefficient between two datasets
COUNT - count of numeric rows in a dataset
COUNT_q - count of numeric rows in a dataset
COVAR - covariance
COVAR_q - covariance
COVARIANCE_P - population covariance
COVARIANCE_S - sample covariance
CRITBINOM - smallest value for the cumulative binomial distribution that is greater than or equal to a criterion value
DEVSQ - deviation squared
DEVSQ_q - deviation squared
DIGAMMA - digamma(z), the logarithmic derivative of the gamma function
EXPDIST - probability density function or the upper cumulative distribution function of the Exponential distribution
EXPINV - inverse of the cumulative distribution function of the exponential distribution
EXPONDIST - exponential distribution that is equivalent to the function used in EXCEL
EXPPRED - predicted value for a dependent variable using the coeffiecients from a previously run mutlivariate exponential regression
F_DIST - probability density or the lower cumulative probability of an F-distribution for x and degrees of freedom for 2 independent random variables
F_DIST_RT - upper cumulative probability of an F-distribution for x and degrees of freedom for 2 independent random variables
F_INV - inverse of the F lower probability distribution
F_INV_RT - inverse of the F upper probability distribution
FACTLN - natural logarithm of a factorial
FACTORIALPOWER - rising or falling factorials
FDIST - F probability distribution
FINV - inverse of the F probability distribution
FISHER - Fisher transformation at x
FISHERINV - inverse of the Fisher transformation
FORECAST - future value by using existing values
FORECAST_q - future value by using existing values
FPDF - probability density function of the F distribution
FTEST - result of an F-test
FTEST_q - result of an F-test
GAMMA - invoke the (complete) gamma function Γ(x)
GAMMADIST - gamma distribution
GAMMAINC - incomplete gamma function
GAMMAINV - inverse of the cumulative gamma distribution
GAMMALN - natural logarithm of the (complete) gamma function Γ(x)
GAMMAP - regularized gamma function P(a
GAMMAQ - regularized gamma function Q(a
GEOMEAN - geometric mean of a dataset
GEOMEAN_q - geometric mean of a dataset
GEOMETRIC - probability mass function of the geometric distribution
GEOMETRICINV - inverse of the cumulative distribution function of the geometric distribution
GEOMETRICP - cumulative distribution function of the geometric distribution
GROWTH - predicted exponential growth by using existing data
GROWTH_q - predicted exponential growth by using existing data
GROWTHMX - values along an exponential trend
GROWTHMX_q - values along an exponential trend
HARMEAN - harmonic mean of a dataset
HARMEAN_q - harmonic mean of a dataset
HYPGEOM_DIST - pmf or the cdf of the hypergeometric distribution
HYPGEOM_INV - quantiles of the hypergeometric distribution
HYPGEOMDIST - hypergeometric distribution
HYPGEOMDISTP - lower cumulative distribution of the hypergeometric function
HYPGEOMDISTPINV - inverse of the cumulative distribution function of the hypergeometric distribution
HYPGEOMDISTQ - upper cumulative distribution of the hypergeometric function
ICC - intra-class coefficient
ICC_TV - intra-class coefficient
INTERCEPT - point at which a line will intersect the y-axis by using existing x-values and y-values
INTERCEPT_q - point at which a line will intersect the y-axis by using existing x-values and y-values
INVGAMMAP - inverse of the incomplete gamma function P(a
IPR - inter-percentile range
IQR - inter-quartile range
KAPPA_COHEN - Cohen’s kappa (κ) or weighted kappa as an index of inter-rater agreement between 2 raters
KAPPA_COHEN_TV - Cohen’s kappa (κ) or weighted kappa as an index of inter-rater agreement between 2 raters
KAPPA_FLEISS - Fleiss’ kappa (κ) as an index of inter-rater agreement between m raters on categorical data
KAPPA_FLEISS_TV - Fleiss’ kappa (κ) as an index of inter-rater agreement between m raters on categorical data
KENDALLT - Kendall’s tau (τ)
KENDALLT_TV - Kendall’s tau (τ)
KENDALLW - Kendall’s coefficient of concordance (w) as an index of inter-rater reliability for ordinal data
KENDALLW_TV - Kendall’s coefficient of concordance (w) as an index of inter-rater reliability for ordinal data
KMEANS - k-means clustering in N-dimensions
KSccdf - complementary cumulative probability P[Dn >= x] of the Kolmogorov-Smirnov distribution with sample size n at x
KScdf - cumulative probability P[Dn >= x] of the Kolmogorov-Smirnov distribution with sample size n at x
KSP - Kolmogorov-Smirnov (KS) cumulative distribution function
KSPINV - inverse of the Kolmogorov-Smirnov (KS) cumulative distribution function
KSQ - complementary Kolmogorov-Smirnov (KS) cumulative distribution function
KSQINV - inverse of the complementary Kolmogorov-Smirnov (KS) cumulative distribution function
KSTEST - compare a sample with a reference probability distribution
KSTEST_q - compare a sample with a reference probability distribution
KSTEST2 - two-sample Kolmogorov-Smirnov test to compare the distributions of the values in two samples
KSTEST2_q - two-sample Kolmogorov-Smirnov test to compare the distributions of the values in two samples
KURT - kurtosis of a dataset
KURT_q - kurtosis of a dataset
KURTOSIS_P - population kurtosis
KURTOSIS_S - sample kurtosis
LAPLACE - probability density function or the lower cumulative distribution function of the Laplace distribution
LAPLACEINV - inverse lower cumulative distribution of the Laplace distribution
LARGE - kth largest value in a dataset
LARGE_q - kth largest value in a dataset
LCHOOSE - natural logarithm of the binomial coefficient
LINEST - ordinary least squares (OLS) solution for a series of x- and y-values
LINEST_q - ordinary least squares (OLS) solution for a series of x- and y-values
LMPRED - predicted value for a dependent variable using the coefficients from a previously run multivariate linear regression
LOGEST - exponential curve that best fits a series of x- and y-values
LOGEST_q - exponential curve that best fits a series of x- and y-values
LOGINV - inverse of the lognormal cumulative distribution function of x where ln(x) is normally distributed within the parameters mean and standard deviation
LOGISTIC - probability density function or the lower cumulative distribution function of the logistic distribution
LOGISTICINV - inverse lower cumulative distribution of the logistic distribution
LOGIT - binary logistic regression coefficients from a table of x-values (the independent variables) and dichotomous y-values (the dependent variable)
LOGITPRED - probability that Y = 1 given a set of coefficients from a logistic regression and a set of x-values
LOGITPROB - probability that Y = 1 given a set of coefficients from a logistic regression and a set of x-values
LOGITSUM - binary logistic regression coefficients from a table of grouped x-values (the independent variables) with counts of the successes and failures for each group
LOGNORM_DIST - probability density function or the cumulative distributive function of the normal distribution of x
LOGNORM_INV - inverse of the lognormal distribution function of x
LOGNORMDIST - lognormal cumulative distribution function of x where ln(x) is normally distributed within the parameters mean and standard deviation
LOGNORMPDF - probability density function of the lognormal distribution
LPERMUT - natural logarithm of the PERMUT function
LPERMUTA - natural logarithm of the PERMUTATIONA function
MCNEMAR - McNemar’s chi-squared test for symmetry of rows and columns in a two-dimensional contingency table
MCNEMAR_TV - McNemar’s chi-squared test for symmetry of rows and columns in a two-dimensional contingency table
MEDIAN - median value in a dataset
MEDIAN_q - median value in a dataset
MODE - mode (most frequent value) of a dataset
MODE_q - mode (most frequent value) of a dataset
MULTINOM - to calculate the probability distribution of the outcomes of a multinomial experiment
NCFCDF - lower cumulative distribution function of the non-central F distribution
NCFINV - inverse of the lower cumulative distribution function of the non-central F distribution
NCFPDF - probability density function of the non-central F distribution
NCHISQPDF - probability density function of the non-central chi square distribution
NCTCDF - lower cumulative distribution function of the non-central T distribution
NCTINV - inverse of the lower cumulative distribution function of the non-central T distribution
NCTPDF - probability density function of the non-central T distribution
NEGBINOM_DIST - probability mass function or the cumulative distributive function of the negative binomial distribution
NEGBINOMDIST - negative binomial distribution
NEGBINOMDISTP - cumulative distribution function of the negative binomial distribution
NEGBINOMINV - smallest value of x such that NEGBINOMDISTP(x
NEGHYPGEOM_DIST - probability mass function or the cumulative distributive function of the negative hypergeometric distribution
NEGHYPGEOM_INV - quantiles of the negative hypergeometric distribution
NORM_S_DIST - probability density function or the lower cumulative distribution function of the standard normal distribution in SQL Server
NORMAL - probability density function for the standard normal distribution
NORMDIST - normal distribution for the specified mean and standard deviation
NORMINV - inverse of the normal cumulative distribution function (cdf)
NORMSDIST - standard normal cumulative distribution function
NORMSINV - inverse of the standard normal distribution in SQL Server
PEARSON - Pearson product-moment coefficient between two datasets
PEARSON_q - Pearson product-moment coefficient between two datasets
PERCENTILE - percentile
PERCENTILE_EXC - percentile
PERCENTILE_q - percentile
PERCENTILES - any number of percentiles from a set of values
PERCENTRANK - rank of a value in a dataset as a percentage of the dataset
PERCENTRANK_EXC - rank of a value in a dataset
PERCENTRANK_q - rank of a value in a dataset as a percentage of the dataset
PERCENTRANKS - relative standing of values within a dataset
PERMUT - number of permutations for a given number objects that can be selected from a number of objects
PERMUTATIONA - number of permutations with replacement
POISSON - Poisson distribution
POISSON_DIST - probability mass function or the lower cumulative probability of a Poisson distribution for a given number of events occurring in a fixed interval given the rate
POISSONINV - inverse of the cumulative distribution function of the Poisson distribution
PROB - probability that values in a range are between two limits
PROB_q - probability that values in a range are between two limits
PSIGNRANK - distribution function of the Wilcoxon Signed Rank statistic
QUARTILE - specified quartile of a dataset
QUARTILE_EXC - specified quartile of a dataset
QUARTILE_q - specified quartile of as dataset
RANGE - difference between the minimum and maximum values in a dataset
RANK - rank of a number in a list of numbers
RANK_AVG - ranks for a collection of x- and y-values
RANK_q - rank of a number in a list of numbers
RANKAVG - average rank of a number in a list of numbers
ROCTable - calculation of the area under the ROC curve
RSQ - Pearson product moment correlation coefficient through data points in known-y’s and known-x’s
RSQ_q - Pearson product moment correlation coefficient through data points in known-y’s and known-x’s
SFTEST - Shapiro-Francia test for the composite hypothesis of normality
SFTEST_q - Shapiro-Francia test for the composite hypothesis of normality
SKEW - degree of asymmetry of a distribution
SKEW_q - degree of asymmetry of a distribution
SKEWNESS_P - skewness for an entire population
SKEWNESS_S - sample skewness
SLOPE - slope of the linear regression through the data points in the known x-values and y-values
SLOPE_q - slope of the linear regression through the data points in the known x-values and y-values
SMALL - kth smallest value in a dataset
SMALL_q - kth smallest value in a dataset
SPEARMAN - Spearman’s rank correlation coefficient (ρ)
SPEARMAN_TV - Spearman’s rank correlation coefficient (ρ)
STANDARDIZE - normalized value from a distribution characterized by a mean and standard deviation
STDEV - estimated standard deviation based on a sample
STDEV_P - standard deviation for an entire population
STDEV_q - estimated standard deviation based on a sample
STDEV_S - estimated standard deviation based on a sample
STDEVP - standard deviation for an entire population
STDEVP_q - standard deviation for an entire population
STEYX - standard error of the predicted y-value for each x in a regression
STEYX_q - standard error of the predicted y-value for each x in a regression
STIRLING1 - stirling number of the first kind
STIRLING2 - stirling number of the second kind
STUDENTST - Student’s t-distribution
SWTEST - Shapiro and Wilk’s W statistic and its p-value
SWTEST_q - Shapiro and Wilk’s W statistic and its p-value
T_DIST - probability density function and the left-tailed cumulative probability distribution of Student's t-distribution
T_DIST_2T - two-tailed cumulative probability distribution of Student's t-distribution
T_DIST_RT - right-tailed cumulative probability distribution of Student's t-distribution
T_INV - inverse of the left-tailed cumulative probability distribution of Student's t-distribution
T_INV_2T - inverse of the two-tailed distribution of Student's t-distribution
TDIST - probability for the Student t-distribution where a numeric value (x) is a calculated value of t for which the probability is to be computed
TINV - t-value of the Student's t-distribution as a function of the probability and the degrees of freedom
TPDF - probability density function of the T distribution
TREND - values along a linear trend
TREND_q - values along a linear trend
TRENDMX - values along a linear trend
TRENDMX_q - values along a linear trend
TRIGAMMA - trigamma(z) the second derviative of the natural log of the gamma function
TRIMMEAN - mean of the interior of a dataset
TRIMMEAN_q - mean of the interior of a dataset
TTEST - probability associated with Student’s t-test
TTEST_INDEP - t-test on data in two samples assuming equal variance
TTEST_INDEPU - t-test on data in two samples assuming unequal variance
TTEST_PAIRED - t-test on data in two samples assuming unequal variance
TTEST_q - probability associated with Student’s t-test
UNIFORM - probability density function or the lower cumulative distribution function of the uniform distribution
UNIFORMINV - inverse of the lower cumulative distribution of the uniform distribution
VAR - estimate variance based on a sample
VAR_P - variance for an entire population
VAR_q - estimate variance based on a sample
VAR_S - estimate variance based on a sample
VARP - variance for an entire population
VARP_q - population variance
VIF - R-squared
WEIBULL - Weibull distribution
WEIBULLINV - inverse of the cumulative distribution function of the Weibull distribution
WLS - Weighted least squares solution for a series of x- and y-values and their associated weights
WLS_q - Weighted least squares solution for a series of x- and y-values and their associated weights
WMPSR - Wilcoxon matched-pair signed-rank test
WMPSR_TV - Wilcoxon matched-pair signed-rank test
XLDB_STATISTICS_VERSION - version information for the XLeratorDB/statistics module
ZTEST - one-tailed probability of a Z-test
ZTEST_q - one-tailed probability of a Z-test
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