matlab 统计工具箱函数

% Statistics Toolbox

% betafit - Beta parameter estimation.

% binofit - Binomial parameter estimation.

% dfittool - Distribution fitting tool.

% evfit - Extreme value parameter estimation.

% expfit - Exponential parameter estimation.

% gamfit - Gamma parameter estimation.

% lognfit - Lognormal parameter estimation.

% mle - Maximum likelihood estimation (MLE).

% mlecov - Asymptotic covariance matrix of MLE.

% nbinfit - Negative binomial parameter estimation.

% normfit - Normal parameter estimation.

% poissfit - Poisson parameter estimation.

% raylfit - Rayleigh parameter estimation.

% unifit - Uniform parameter estimation.

% wblfit - Weibull parameter estimation.

%

% Probability density functions (pdf).

% betapdf - Beta density.

% binopdf - Binomial density.

% chi2pdf - Chi square density.

% evpdf - Extreme value density.

% exppdf - Exponential density.

% fpdf - F density.

% gampdf - Gamma density.

% geopdf - Geometric density.

% hygepdf - Hypergeometric density.

% lognpdf - Lognormal density.

% mvnpdf - Multivariate normal density.

% nbinpdf - Negative binomial density.

% ncfpdf - Noncentral F density.

% nctpdf - Noncentral t density.

% ncx2pdf - Noncentral Chi-square density.

% normpdf - Normal (Gaussian) density.

% pdf - Density function for a specified distribution.

% poisspdf - Poisson density.

% raylpdf - Rayleigh density.

% tpdf - T density.

% unidpdf - Discrete uniform density.

% unifpdf - Uniform density.

% wblpdf - Weibull density.

%

% Cumulative Distribution functions (cdf).

% betacdf - Beta cdf.

% binocdf - Binomial cdf.

% cdf - Specified cumulative distribution function.

% chi2cdf - Chi square cdf.

% ecdf - Empirical cdf (Kaplan-Meier estimate).

% evcdf - Extreme value cumulative distribution function.

% expcdf - Exponential cdf.

% fcdf - F cdf.

% gamcdf - Gamma cdf.

% geocdf - Geometric cdf.

% hygecdf - Hypergeometric cdf.

% logncdf - Lognormal cdf.

% nbincdf - Negative binomial cdf.

% ncfcdf - Noncentral F cdf.

% nctcdf - Noncentral t cdf.

% ncx2cdf - Noncentral Chi-square cdf.

% normcdf - Normal (Gaussian) cdf.

% poisscdf - Poisson cdf.

% raylcdf - Rayleigh cdf.

% tcdf - T cdf.

% unidcdf - Discrete uniform cdf.

% unifcdf - Uniform cdf.

% wblcdf - Weibull cdf.

%

% Critical Values of Distribution functions.

% betainv - Beta inverse cumulative distribution function.

% binoinv - Binomial inverse cumulative distribution function.

% chi2inv - Chi square inverse cumulative distribution function.

% evinv - Extreme value inverse cumulative distribution function.

% expinv - Exponential inverse cumulative distribution function.

% finv - F inverse cumulative distribution function.

% gaminv - Gamma inverse cumulative distribution function.

% geoinv - Geometric inverse cumulative distribution function.

% hygeinv - Hypergeometric inverse cumulative distribution function.

% icdf - Specified inverse cdf.

% logninv - Lognormal inverse cumulative distribution function.

% nbininv - Negative binomial inverse distribution function.

% ncfinv - Noncentral F inverse cumulative distribution function.

% nctinv - Noncentral t inverse cumulative distribution function.

% ncx2inv - Noncentral Chi-square inverse distribution function.

% norminv - Normal (Gaussian) inverse cumulative distribution function.

% poissinv - Poisson inverse cumulative distribution function.

% raylinv - Rayleigh inverse cumulative distribution function.

% tinv - T inverse cumulative distribution function.

% unidinv - Discrete uniform inverse cumulative distribution function.

% unifinv - Uniform inverse cumulative distribution function.

% wblinv - Weibull inverse cumulative distribution function.

%

% Random Number Generators.

% betarnd - Beta random numbers.

% binornd - Binomial random numbers.

% chi2rnd - Chi square random numbers.

% evrnd - Extreme value random numbers.

% exprnd - Exponential random numbers.

% frnd - F random numbers.

% gamrnd - Gamma random numbers.

% geornd - Geometric random numbers.

% hygernd - Hypergeometric random numbers.

% iwishrnd - Inverse Wishart random matrix.

% lognrnd - Lognormal random numbers.

% mvnrnd - Multivariate normal random numbers.

% mvtrnd - Multivariate t random numbers.

% nbinrnd - Negative binomial random numbers.

% ncfrnd - Noncentral F random numbers.

% nctrnd - Noncentral t random numbers.

% ncx2rnd - Noncentral Chi- square random numbers.

% normrnd - Normal (Gaussian) random numbers.

% poissrnd - Poisson random numbers.

% randg - Gamma random numbers (unit scale).

% random - Random numbers from specified distribution.

% randsample - Random sample from finite population.

% raylrnd - Rayleigh random numbers.

% trnd - T random numbers.

% unidrnd - Discrete uniform random numbers.

% unifrnd - Uniform random numbers.

% wblrnd - Weibull random numbers.

% wishrnd - Wishart random matrix.

%

% Statistics.

% betastat - Beta mean and variance.

% binostat - Binomial mean and variance.

% chi2stat - Chi square mean and variance.

% evstat - Extreme value mean and variance.

% expstat - Exponential mean and variance.

% fstat - F mean and variance.

% gamstat - Gamma mean and variance.

% geostat - Geometric mean and variance.

% hygestat - Hypergeometric mean and variance.

% lognstat - Lognormal mean and variance.

% nbinstat - Negative binomial mean and variance.

% ncfstat - Noncentral F mean and variance.

% nctstat - Noncentral t mean and variance.

% ncx2stat - Noncentral Chi-square mean and variance.

% normstat - Normal (Gaussian) mean and variance.

% poisstat - Poisson mean and variance.

% raylstat - Rayleigh mean and variance.

% tstat - T mean and variance.

% unidstat - Discrete uniform mean and variance.

% unifstat - Uniform mean and variance.

% wblstat - Weibull mean and variance.

%

% Likelihood functions.

% betalike - Negative beta log-likelihood.

% evlike - Negative extreme value log- likelihood.

% explike - Negative exponential log-likelihood.

% gamlike - Negative gamma log- likelihood.

% lognlike - Negative lognormal log-likelihood.

% nbinlike - Negative likelihood for negative binomial distribution.

% normlike - Negative normal likelihood.

% wbllike - Negative Weibull log-likelihood.

%

% Descriptive Statistics.

% bootstrp - Bootstrap statistics for any function.

% corr - Linear or rank correlation coefficient.

% corrcoef - Linear correlation coefficient with confidence intervals.

% cov - Covariance.

% crosstab - Cross tabulation.

% geomean - Geometric mean.

% grpstats - Summary statistics by group.

% harmmean - Harmonic mean.

% iqr - Interquartile range.

% kurtosis - Kurtosis.

% mad - Median Absolute Deviation.

% mean - Sample average (in MATLAB toolbox).

% median - 50th percentile of a sample.

% moment - Moments of a sample.

% nanmax - Maximum ignoring NaNs.

% nanmean - Mean ignoring NaNs.

% nanmedian - Median ignoring NaNs.

% nanmin - Minimum ignoring NaNs.

% nanstd - Standard deviation ignoring NaNs.

% nansum - Sum ignoring NaNs.

% nanvar - Variance ignoring NaNs.

% prctile - Percentiles.

% quantile - Quantiles.

% range - Range.

% skewness - Skewness.

% std - Standard deviation (in MATLAB toolbox).

% tabulate - Frequency table.

% trimmean - Trimmed mean.

% var - Variance (in MATLAB toolbox).

%

% Linear Models.

% addedvarplot - Created added-variable plot for stepwise regression.

% anova1 - One-way analysis of variance.

% anova2 - Two- way analysis of variance.

% anovan - n-way analysis of variance.

% aoctool - Interactive tool for analysis of covariance.

% dummyvar - Dummy-variable coding.

% friedman - Friedman's test (nonparametric two-way anova).

% glmfit - Generalized linear model fitting.

% glmval - Evaluate fitted values for generalized linear model.

% kruskalwallis - Kruskal-Wallis test (nonparametric one-way anova).

% leverage - Regression diagnostic.

% lscov - Least-squares estimates with known covariance matrix.

% lsqnonneg - Non- negative least-squares.

% manova1 - One-way multivariate analysis of variance.

% manovacluster - Draw clusters of group means for manova1.

% multcompare - Multiple comparisons of means and other estimates.

% polyconf - Polynomial evaluation and confidence interval estimation.

% polyfit - Least-squares polynomial fitting.

% polyval - Predicted values for polynomial functions.

% rcoplot - Residuals case order plot.

% regress - Multivariate linear regression.

% regstats - Regression diagnostics.

% ridge - Ridge regression.

% robustfit - Robust regression model fitting.

% rstool - Multidimensional response surface visualization (RSM).

% stepwise - Interactive tool for stepwise regression.

% stepwisefit - Non-interactive stepwise regression.

% x2fx - Factor settings matrix (x) to design matrix (fx).

%

% Nonlinear Models.

% nlinfit - Nonlinear least-squares data fitting.

% nlintool - Interactive graphical tool for prediction in nonlinear models.

% nlpredci - Confidence intervals for prediction.

% nlparci - Confidence intervals for parameters.