Introduction to MATLAB mathematical statistics Toolbox)

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Introduction to MATLAB mathematical statistics toolbox
1. Overview
The Mathematical Statistics toolbox of MATLAB is a relatively simple tool in the MATLAB toolbox. The mathematical knowledge involved in it is a mathematical statistics that everyone is very familiar with. Therefore, in this article, we will not repeat the knowledge of mathematical statistics. We will only list some functions in the mathematical statistics toolbox. These functions have clear meanings and are easy to use. In order to be more concise, this article only gives the function name, does not list the function parameters and usage methods, you just need to simply enter the "Help function name" in the MATLAB workspace ", you can get detailed usage of these functions.
2. Parameter Estimation
Parameter Estimation and confidence interval of betafit beta distribution data
Betalike β logarithm likelihood Function
Binofit two data parameter estimation and Confidence Interval
Expfit index data parameter estimation and Confidence Interval
Parameter Estimation and confidence interval of gamfit gamma distribution data
Gamlike gamma logarithm likelihood Function
MLE Maximum Likelihood Estimation
Normlike normal logarithm likelihood Function
Normfit normal data parameter estimation and Confidence Interval
Descrisfit Poisson data parameter estimation and Confidence Interval
Parameter Estimation for uniform distribution of uniunit data
Parameter Estimation and confidence interval of Weibo fit
3. Cumulative Distribution Function
Betacdf β Cumulative Distribution Function
Binocdf Cumulative Distribution Function
CDF calculates the selected Cumulative Distribution Function
Chi2cdf Cumulative Distribution Function
Expcdf exponential Cumulative Distribution Function
Fcdf F Cumulative Distribution Function
Gamcdf gamma Cumulative Distribution Function
Geocdf geometric Cumulative Distribution Function
Hygecdf hypergeometric Cumulative Distribution Function
Logncdf logarithm normal Cumulative Distribution Function
Nbincdf negative two-item Cumulative Distribution Function
Ncfcdf partial F Cumulative Distribution Function
Nctcdf partial t Cumulative Distribution Function
Ncx2cdf partial cumulative distribution function
Normcf normal Cumulative Distribution Function
Poisscdf Poisson Cumulative Distribution Function
Raylcdf accumulate Distribution Function
Tcdf t Cumulative Distribution Function
Unidcdf Discrete Distribution Cumulative Distribution Function
Unifcdf continuous and even distribution Cumulative Distribution Function
Weibo Cumulative Distribution Function
4. Probability Density Function
Betapdf β probability density function
Binopdf binary probability density function
Chi2pdf probability density function
Exppdf exponential probability density function
Fpdf F probability density function
Gampdf gamma probability density function
Geopdf geometric probability density function
Hypergeometric probability density function of hygepdf
Lognpdf logarithm normal probability density function
Nbinpdf negative binary probability density function
Ncfpdf partial F probability density function
Nctpdf partial t probability density function
Ncx2pdf partial probability density function
Normpdf normal distribution probability density function
Probability density function of the specified PDF Distribution
Probability density function of poisspdf Poisson distribution
Raylpdf, Sr Function
TPDF t probability density function
Unidpdf discrete even distribution probability density function
Unifpdf continuous and even distribution probability density function
Weibo probability density function
5. Inverse Cumulative Distribution Function
Betainv inverse β Cumulative Distribution Function
Binoinv inverse quadratic Cumulative Distribution Function
Chi2inv inverse Cumulative Distribution Function
Expinv inverse index Cumulative Distribution Function
Finv inverse F Cumulative Distribution Function
Gaminv Inverse Gamma Cumulative Distribution Function
Geoinv inverse geometric Cumulative Distribution Function
Hygeinv inverse hyper-geometric Cumulative Distribution Function
Logninv inverse logarithm normal Cumulative Distribution Function
Nbininv inverse two-term Cumulative Distribution Function
Ncfinv inverse partial F Cumulative Distribution Function
Nctinv inverse partial t Cumulative Distribution Function
Ncx2inv inverse partial cumulative distribution function
Norminv inverse normal Cumulative Distribution Function
Possinv inverse normal Cumulative Distribution Function
Raylinv inverse Dirichlet Cumulative Distribution Function
Tinv inverse T Cumulative Distribution Function
Unidinv inverse Discrete uniform Cumulative Distribution Function
Unifinv inverse continuous and even Cumulative Distribution Function
Weibo inverse Cumulative Distribution Function
6. Distributed Moment Functions
Betastat calculates the mean and variance of beta distribution
Mean and variance of binostat binary Distribution
Chi2stat calculates the mean and variance of the distribution.
Expstat calculates the mean and variance of exponential distribution.
Calculate the mean and variance of F distribution using fstat
GEMStat calculates the mean and variance of Gamma Distribution
GEOSTAT calculates mean and variance of Geometric Distribution
Hygestat calculates the mean and variance of the Hypergeometric Distribution.
Lognstat calculates the mean and variance of the logarithm normal distribution.
Nbinstat calculates the mean and variance of the negative binary distribution.
Ncfstat calculates the mean and variance of partial F distribution
Nctstat calculates the mean and variance of partial tdistribution.
Ncx2stat calculates mean and variance of Partial Distribution
Normstat calculates mean and variance of Normal Distribution
Poissstat calculates mean and variance of Poisson distribution
Use raylstat to calculate the mean and variance of the Dirichlet distribution.
Tstat calculates the mean and variance of the tdistribution.
Unidstat calculates the mean and variance of discrete even distribution
Unistat calculates the mean and variance of continuous and even distribution.
Mean and variance of Weibo distribution calculated by Weibo stat
7. Statistical feature Functions
Corrcoef
Cov returns the covariance matrix.
Geomean calculates the geometric mean of samples.
Harmmean calculates the harmonic mean of sample data
The four-digit difference of the iqr calculated sample
Kurtosis calculates the kurtosis of the sample
Mad calculates the mean absolute deviation of sample data
Mean calculates the mean of a sample.
Median calculates the median of a sample.
Moment calculates the center moment of any order
Prctile calculates the number of digits in a sample.
Range sample range
Skewness calculates the sample skew
STD calculates the sample standard deviation
Trimmean calculates the mean value of the sample data containing the limit value.
VaR calculates the sample variance
8. Statistical plotting Functions
Boxplot draws sample data in a rectangle
Errorbar draws error bars on the curve
Interaction contour of fsurfht function painting
Interactive line drawing in the figure
Gname is used to draw points with the specified logo
Lsline draw the least squares fitting line
Normplot draws a normal probability chart of Normality Test
A diagram of the control of the statistical process
Use qqplot to plot the quantile-quantile diagram of two samples
Refcurve adds a polynomial curve to the current graph.
Refline draws reference lines in the current Coordinate
Surfht draw interaction Contour
Weibo plot the probability of Weibo
9. Statistical Processing Control
Capable processing capability index
Capaplot image processing capability
Ewmaplot plot exponential weighted moving average
Histfit stack normal density Histogram
Normspec draws a normal density chart within the specified limit
Schart draws a standard deviation Diagram
Xbarplot draws a horizontal chart
10. Hypothesis Test
Ranksum calculates the significance probability of the two independent samples produced by the parent and the result of the hypothesis test.
Signrank calculates the significance probability equal to the median of two matching samples and the result of the hypothesis test.
Signtest calculates the significance probability of the two matching samples and the result of the hypothesis test
Ttest performs t-test on the mean value of a single sample.
Ttest2 performs t-test on mean difference between two samples
Ztest performs a Z test on the mean value of a single sample with known variance.
11. Test Design
Cordexch coordination crossoverAlgorithm D-optimized Test Design
Daugment D-optimized and enhanced Test Design
Dcovary uses the D-optimized test design of the specified co-Variable
Two-Level Test Design of ff2n
Fullfact full-factor experimental design
Hadamard Orthogonal Test
Rowexch row switching algorithm D-Optimization Test Design