Statistics

avg Computes the average of a variable regardless of dimensionality.
betainc Evaluates the incomplete beta function.
bin_avg Calculates gridded binned averages and counts on a rectilinear grid using randomly spaced data.
bin_sum Calculates binned sums and counts over multiple invocations of the procedure on a rectilinear grid.
bootstrap_correl Bootstrap estimates of sample cross correlations (ie, Pearson's correlation coefficient) between two variables.
bootstrap_diff Bootstrap mean differences from two samples.
bootstrap_estimate Extract the user specified element from the bootstrapped values.
bootstrap_regcoef Bootstrap estimates of linear regression coefficient.
bootstrap_stat Bootstrap estimates of a user specified statistic derived from a variable.
ceemdan Complete Ensemble Empirical Mode Decomposition with Adaptive Noise.
cohsq_c2p Given coherence-squared and the effective degrees-of-freedom, calculate the associated probability.
cohsq_p2c Calculate the value(s) of coherence-squared required for a specified significance level and effectiove degrees-of-freedom.
dim_acumrun_n Calculates individual accumulated sums of sequences ('runs') of a specified length.
dim_avg Computes the average of a variable's rightmost dimension at all other dimensions.
dim_avg_n Computes the average of a variable's given dimension(s) at all other dimensions.
dim_avg_n_Wrap Computes the average of a variable's given dimensions at all other dimensions and retains metadata.
dim_avg_wgt Computes the weighted average of a variable's rightmost dimension at all other dimensions.
dim_avg_wgt_n Computes the weighted average of a variable's given dimension at all other dimensions.
dim_avg_wgt_n_Wrap Computes the weighted average of a variable's given dimension at all other dimensions and retains metadata.
dim_avg_wgt_Wrap Computes the weighted average of a variable's rightmost dimension at all other dimensions and retains metadata.
dim_avg_Wrap Computes the average of a variable's rightmost dimension at all other dimensions and retains metadata.
dim_cumsum Calculates the cumulative sum along the rightmost dimension.
dim_cumsum_n Calculates the cumulative sum along the given dimension(s).
dim_cumsum_n_Wrap Calculates the cumulative sum along the given dimension(s) and retains metadata.
dim_cumsum_Wrap Calculates the cumulative sum along the rightmost dimension and retains metadata.
dim_gamfit_n Fit data to the two parameter gamma distribution.
dim_max Finds the maximum of a variable's rightmost dimension at all other dimensions.
dim_max_n Finds the maximum of a variable's given dimensions at all other dimensions.
dim_max_n_Wrap Computes the maximum of a variable's given dimensions at all other dimensions and retains metadata.
dim_median Computes the median of a variable's rightmost dimension at all other dimensions.
dim_median_n Computes the median of a variable's given dimensions at all other dimensions.
dim_min Finds the minimum of a variable's rightmost dimension at all other dimensions.
dim_min_n Finds the minimum of a variable's given dimensions at all other dimensions.
dim_min_n_Wrap Computes the minimum of a variable's given dimensions at all other dimensions and retains metadata.
dim_numrun_n Counts the number of "runs" (sequences) within a series containing zeros and ones.
dim_rmsd Computes the root-mean-square-difference between two variables' rightmost dimension at all other dimensions.
dim_rmsd_n Computes the root-mean-square-difference between two variables' given dimensions at all other dimensions.
dim_rmsd_n_Wrap Computes the root-mean-square-difference between two variables' given dimensions at all other dimensions.
dim_rmsd_Wrap Computes the root-mean-square-difference between two variables' rightmost dimension at all other dimensions.
dim_rmvmean Calculates and removes the mean of the (rightmost) dimension at all other dimensions.
dim_rmvmean_n Calculates and removes the mean of the given dimension(s) at all other dimensions.
dim_rmvmean_n_Wrap Calculates and removes the mean of the given dimensions at all other dimensions and retains metadata.
dim_rmvmean_Wrap Calculates and removes the mean of the (rightmost) dimension at all other dimensions and retains metadata.
dim_rmvmed Calculates and removes the median of the (rightmost) dimension at all other dimensions.
dim_rmvmed_n Calculates and removes the median of the given dimension(s) at all other dimensions.
dim_rmvmed_n_Wrap Calculates and removes the median of the given dimensions at all other dimensions and retains metadata.
dim_rmvmed_Wrap Calculates and removes the median of the (rightmost) dimension at all other dimensions and retains metadata.
dim_standardize Calculates standardized anomalies of the rightmost dimension at all other dimensions.
dim_standardize_n Calculates standardized anomalies of the given dimension(s) at all other dimensions.
dim_standardize_n_Wrap Calculates standardized anomalies of the given dimensions at all other dimensions and retains metadata.
dim_standardize_Wrap Calculates standardized anomalies of the rightmost dimension at all other dimensions and retains metadata.
dim_stat4 Computes the first four moments (average, sample variance, skewness, and kurtosis) of the rightmost dimension for all other dimensions.
dim_stat4_n Computes the first four moments (average, sample variance, skewness, and kurtosis) of the given dimension(s) for all other dimensions.
dim_stddev Computes the sample standard deviation of a variable's rightmost dimension at all other dimensions.
dim_stddev_n Computes the sample standard deviation of a variable's given dimension(s) at all other dimensions.
dim_stddev_n_Wrap Computes the sample standard deviation of a variable's given dimension(s) at all other dimensions and retains metadata.
dim_stddev_Wrap Computes the sample standard deviation of a variable's rightmost dimension at all other dimensions and retains metadata.
dim_sum_wgt_n_Wrap Computes the weighted sum of a variable's given dimension at all other dimensions and retains metadata.
dim_sum_wgt_Wrap Computes the weighted sum of a variable's rightmost dimension at all other dimensions and retains metadata.
dim_variance Computes the unbiased estimates of the variance of a variable's rightmost dimension.
dim_variance_n Computes the unbiased estimates of the variance of a variable's given dimension(s) at all other dimensions.
dim_variance_n_Wrap Computes unbiased estimates of the variance of a variable's given dimension(s) at all other dimensions and retains metadata.
dim_variance_Wrap Computes unbiased estimates of the variance of a variable's rightmost dimension at all other dimensions and retains metadata.
dtrend Estimates and removes the least squares linear trend of the rightmost dimension from all grid points.
dtrend_msg Estimates and removes the least squares linear trend of the rightmost dimension from all grid points (missing values allowed).
dtrend_msg_n Estimates and removes the least squares linear trend of the dim-th dimension from all grid points (missing values allowed).
dtrend_n Estimates and removes the least squares linear trend of the given dimension from all grid points.
dtrend_quadratic Estimates and removes the least squares quadratic trend of the rightmost dimension from all grid points.
dtrend_quadratic_msg_n Estimates and removes the least squares quadratic trend of the dim-th dimension from all grid points (missing values allowed).
eemd Perform ensemble empirical mode decomposition (EEMD).
equiv_sample_size Estimates the number of independent values in a series of correlated values.
esccr Computes sample cross-correlations.
esccv Computes sample cross-covariances.
escorc Computes the (Pearson) sample linear cross-correlations at lag 0 only.
escorc_n Computes the (Pearson) sample linear cross-correlations at lag 0 only, across the specified dimensions.
escovc Computes sample cross-covariances at lag 0 only.
exponential_curve_fit Calculates the coefficients for a simple exponential curve fit of the form ' y = A*exp(B*x)' using least squares.
extval_frechet Calculates the probability (PDF) and cumulative (CDF) distribution functions of the Frechet Type II distribution given the shape, scale and location parameters.
extval_gev Calculates the probability (PDF) and cumulative (CDF) distribution functions of the Generalized Extreme Value (GEV) distribution given the shape, scale and location parameters.
extval_gumbel Calculates the probability (PDF) and cumulative (CDF) distribution functions of the Gumbel (Type I) distribution function given the scale and location parameters.
extval_mlegam Estimates the location, shape, scale and other parameters for the Gamma distribution using maximum-likelihood estimation (MLE).
extval_mlegev Estimates the shape, scale and location parameters for the Generalized Extreme-Value (GEV) distribution using Maximum-Likelihood Estimation (MLE).
extval_pareto Calculates the probability (PDF) and cumulative (CDF) distribution functions of the Pareto distributions (Generalized, Type I, TYpe II) given the shape, scale and location parameters.
extval_recurrence_table Calculates the recurrence interval (return period), cumulative and exceedence probabilities based upon a time series.
extval_return_period Calculates the period of an event (eg, flood, heat wave, drought) occurring given an average event recurrence interval and specified probability level.
extval_return_prob Calculates the probability of an event (eg, flood, heat wave, drought) given an average event interval and a specified exceedance period.
extval_weibull Calculates the probability (PDF) and cumulative (CDF) distribution functions of the Weibull Type III distribution given the shape, scale and location parameters.
ftest Applies F-test for variances and returns an estimate of the statistical significance.
genNormalDist Generates a normal distribution.
kde_n_test Uses gaussian kernel density estimation (KDE) to estimate the probability density function of a random variable. This function is under construction and is available for testing only. It may not be released with NCL V6.5.0.
kmeans_as136 Performs k-means clustering via the Hartigan and Wong AS-136 algorithm.
kolsm2_n Uses the Kolmogorov-Smirnov two-sample test to determine if two samples are from the same distribution.
max Computes the maximum value of a multi-dimensional array.
min Computes the minimum value of a multi-dimensional array.
pattern_cor Compute centered or uncentered pattern correlation.
pdfxy Generates a joint probability density distribution. (Please use pdfxy_conform.)
pdfxy_bin Performs looping necessary to calculate the bivariate (joint) probability distribution (see pdfxy).
pdfxy_conform An interface to pdfxy that allows the input arrays to be different sizes.
regcoef Calculates the linear regression coefficient between two variables.
regCoef Calculates the linear regression coefficient between two variables.
regCoef_n Calculates the linear regression coefficient between two variables on the given dimensions.
regline Calculates the linear regression coefficient between two series.
regline_weight Calculates the linear regression coefficient between two series where one variable is weighted by some measure of uncertainty.
spcorr Computes Spearman rank order correlation (Rho) correlation coefficient.
spcorr_n Computes Spearman rank order correlation (Rho) correlation coefficient across the given dimension.
stat2 Calculates the first two moments of the given input.
stat4 Calculates estimates of the first four moments (mean, variance, skewness, and kurtosis) of the given input.
stat_dispersion Computes a number of robust statistics.
stat_medrng Calculates median, range, and mid-range of the given input.
stat_trim Calculates trimmed estimates of the first two moments of the given input.
stddev Calculates the sample standard deviation.
student_t Calculates the two-tailed probability of the Student-t distribution.
taylor_stats Calculates statistics needed for the Taylor Diagram: pattern_correlation, ratio and bias.
trend_manken Calculates Mann-Kendall non-parametric test for monotonic trend and the Theil-Sen robust estimate of linear trend.
ttest Returns an estimate of the statistical significance and, optionally, the t-values.
unwrap_phase Unwrap (correct) phase angles to produce smoother phase plots.
variance Computes an unbiased estimate the variance of all input points.
weibull Derives the shape and scale parameters for the Weibull distribution via maximum likelihood estimates.
zscore Computes the zscore of a variable's given dimensions at all other dimensions and retains metadata.