Matlab中统计分析函数

Likelihood functions.

betalike - Negative beta log-likelihood.

evlike - Negative extreme value log-likelihood. explike - Negative exponential log-likelihood. gamlike - Negative gamma log-likelihood.

gevlike - Generalized extreme value log-likelihood. gplike - Generalized Pareto inverse log-likelihood. lognlike - Negative lognormal log-likelihood. nbinlike - Negative binomial log-likelihood. normlike - Negative normal likelihood. wbllike - Negative Weibull log-likelihood.

Probability distribution objects.

ProbDistUnivKernel - Univariate kernel smoothing distributions. ProbDistUnivParam - Univariate parametric distributions.

Descriptive Statistics.

bootci - Bootstrap confidence intervals. bootstrp - Bootstrap statistics.

corr - Linear or rank correlation coefficient.

corrcoef - Linear correlation coefficient (in MATLAB toolbox). cov - Covariance (in MATLAB toolbox). crosstab - Cross tabulation. geomean - Geometric mean.

grpstats - Summary statistics by group. harmmean - Harmonic mean. iqr - Interquartile range. jackknife - Jackknife statistics. kurtosis - Kurtosis.

mad - Median Absolute Deviation.

mean - Sample average (in MATLAB toolbox).

median - 50th percentile of a sample (in MATLAB toolbox).

mode - Mode, or most frequent value in a sample (in MATLAB toolbox). moment - Moments of a sample.

nancov - Covariance matrix ignoring NaNs. 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.

partialcorr - Linear or rank partial correlation coefficient. 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. invpred - Inverse prediction for simple linear regression. kruskalwallis - Kruskal-Wallis test (nonparametric one-way anova). leverage - Regression diagnostic.

lscov - Ordinary, weighted, or generalized least-squares (in MATLAB toolbox). lsqnonneg - Non-negative least-squares (in MATLAB toolbox). manova1 - One-way multivariate analysis of variance. manovacluster - Draw clusters of group means for manova1.

mnrfit - Nominal or ordinal multinomial regression model fitting. mnrval - Predict values for nominal or ordinal multinomial regression. multcompare - Multiple comparisons of means and other estimates. mvregress - Multivariate regression with missing data.

mvregresslike - Negative log-likelihood for multivariate regression.

polyconf - Polynomial evaluation and confidence interval estimation. polyfit - Least-squares polynomial fitting (in MATLAB toolbox).

polyval - Predicted values for polynomial functions (in MATLAB toolbox). rcoplot - Residuals case order plot.

regress - Multiple linear regression using least squares. 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.

coxphfit - Cox proportional hazards regression. nlinfit - Nonlinear least-squares data fitting.

nlintool - Interactive graphical tool for prediction in nonlinear models. nlmefit - Nonlinear mixed-effects data fitting. nlpredci - Confidence intervals for prediction. nlparci - Confidence intervals for parameters.

Design of Experiments (DOE).

bbdesign - Box-Behnken design.

candexch - D-optimal design (row exchange algorithm for candidate set). candgen - Candidates set for D-optimal design generation. ccdesign - Central composite design.

cordexch - D-optimal design (coordinate exchange algorithm). daugment - Augment D-optimal design.

dcovary - D-optimal design with fixed covariates. fracfactgen - Fractional factorial design generators. ff2n - Two-level full-factorial design. fracfact - Two-level fractional factorial design. fullfact - Mixed-level full-factorial design.

hadamard - Hadamard matrices (orthogonal arrays) (in MATLAB toolbox). lhsdesign - Latin hypercube sampling design.

lhsnorm - Latin hypercube multivariate normal sample. rowexch - D-optimal design (row exchange algorithm).

Statistical Process Control (SPC). capability - Capability indices. capaplot - Capability plot.

controlchart - Shewhart control chart.

controlrules - Control rules (Western Electric or Nelson) for SPC data. gagerr - Gage repeatability and reproducibility (R&R) study. histfit - Histogram with superimposed normal density.

normspec - Plot normal density between specification limits. runstest - Runs test for randomness.

Multivariate Statistics. Cluster Analysis.

cophenet - Cophenetic coefficient.

cluster - Construct clusters from LINKAGE output. clusterdata - Construct clusters from data. dendrogram - Generate dendrogram plot.

gmdistribution - Gaussian mixture model estimation. inconsistent - Inconsistent values of a cluster tree. kmeans - k-means clustering.

linkage - Hierarchical cluster information.

pdist - Pairwise distance between observations. silhouette - Silhouette plot of clustered data. squareform - Square matrix formatted distance.

Classification.

classify - Linear discriminant analysis. NaiveBayes - Naive Bayes classification.

Dimension Reduction Techniques. factoran - Factor analysis.

nnmf - Non-negative matrix factorization.

pcacov - Principal components from covariance matrix. pcares - Residuals from principal components.

princomp - Principal components analysis from raw data. rotatefactors - Rotation of FA or PCA loadings.

Copulas

copulacdf - Cumulative probability function for a copula. copulafit - Fit a parametric copula to data.

copulaparam - Copula parameters as a function of rank correlation. copulapdf - Probability density function for a copula. copularnd - Random vectors from a copula. copulastat - Rank correlation for a copula.

Plotting.

andrewsplot - Andrews plot for multivariate data.

biplot - Biplot of variable/factor coefficients and scores. interactionplot - Interaction plot for factor effects. maineffectsplot - Main effects plot for factor effects.

glyphplot - Plot stars or Chernoff faces for multivariate data. gplotmatrix - Matrix of scatter plots grouped by a common variable. multivarichart - Multi-vari chart of factor effects.

parallelcoords - Parallel coordinates plot for multivariate data.

Other Multivariate Methods.

barttest - Bartlett's test for dimensionality. canoncorr - Canonical correlation analysis. cmdscale - Classical multidimensional scaling. mahal - Mahalanobis distance.

manova1 - One-way multivariate analysis of variance.

mdscale - Metric and non-metric multidimensional scaling. mvregress - Multivariate regression with missing data. plsregress - Partial least squares regression. procrustes - Procrustes analysis.