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Aplikasi Statistik Dalam MATLAB

Arif Rahman, ST MT

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Pemusatan DataMencari Rata-rata

mean(Datavector)

Mencari Rata-rata Geometrikgeomean(Datavector)

Mencari Rata-rata Harmonikharmmean(Datavector)

Mencari Rata-rata tanpa outliertrimmean(Datavector,percent)

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Pemusatan DataMencari Nilai Tengah

median(Datavector)

Mencari Nilai Paling Sering Munculmode(Datavector)

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Penyebaran DataVariansi

var(Datavector)

Simpangan Bakustd(Datavector)

Rentangrange(Datavector)

Kuartilquantile(Datavector, rank)

Persentilprctile(Datavector,rank)

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Ukuran DistribusiKemiringan

skewness(Datavector)

Keruncingankurtosis(Datavector)

Statistik DeskriptifSummary

summary(Datavector)

Tabulasi Tabel Frekuensitabulate(Datavector)

Tabulasi Silangcrosstab(x1,x2,x3,...)

Stratifikasigrpstats(Datavector,groupvars)

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MatriksKorelasi

corr(Datavector)

Koefisien Korelasicorrcoef(Datavector)

Kovariancov(Datavector)

Kovarian Korelasicorrcov(Datavector)

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GrafikBalok rentang boxplot(x,group)Pencar scatter(x,y), scatter3(…)Garis plot(x,y), plot3(…), plotyy(…)Batang bar(x,y), barh(…), bar3(…)Histogram hist(y,x), hist3(…)Venn pie(x), pie3(…)Pareto pareto(y, name)

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Pengujian HipotesisUji Rata-rata diketahui[h,p] = ztest(Datavector,,)[h,p] = ztest(Datavector,,,,tail)

hHipotesa yang diterima

pProbabilitas tingkat signifikansi

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Pengujian HipotesisUji Rata-rata tidak diketahui[h,p] = ttest(Datavector,)[h,p] = ttest(Datavector,,,tail)

hHipotesa yang diterima

pProbabilitas tingkat signifikansi

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Pengujian HipotesisUji Dua Rata-rata[h,p] = ttest2(x,y)[h,p] = ttest2(x,y,,tail)

hHipotesa yang diterima

pProbabilitas tingkat signifikansi

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Pengujian HipotesisUji satu variansi[h,p] = vartest(Datavector,)[h,p] = vartest(Datavector,,,tail)

hHipotesa yang diterima

pProbabilitas tingkat signifikansi

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Pengujian HipotesisUji dua variansi[h,p] = vartest2(x,y)[h,p] = vartest2(x,y,,tail)

hHipotesa yang diterima

pProbabilitas tingkat signifikansi

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Pengujian HipotesisUji beberapa variansip = vartestn(Datavector,group)p = vartestn(Datavector,group,,tail)

pProbabilitas tingkat signifikansi

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Pengujian HipotesisUji Chi Square 2

Tingkat Signifikansi• CHITEST(DataRange1; DataRange1)

2 hitung• CHIINV(SignLvl;df)

2 tabel• CHIINV(;df)

Uji Nonparametriksigntest - Sign test (paired samples).ranksum - Wilcoxon rank sum test (independent samples).signrank - Wilcoxon sign rank test (paired samples).kruskalwallis - Kruskal-Wallis test (nonparametric one-way anova).friedman - Friedman's test (nonparametric two-way anova).

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Peta Kontrolcontrolchart - Shewhart control chart.capability - Capability indices.capaplot - Capability plot.runstest - Runs test for randomness.

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Uji Distribusidfittool

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Uji Distribusidisttool

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Uji Distribusicdfplot(Datavector)histfit(Datavector)normplot(Datavector)probplot(Distribution, Datavector)chi2gof(Datavector)kstest(Datavector,CDF,alpha,tail)lillietest(x,alpha)jbtest(x,alpha)

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Anovaanova1 - One-way analysis of variance.anova2 - Two-way analysis of variance.anovan - n-way analysis of variance.multcompare - Multiple comparisons of means and other estimates.

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Regresi Linierregress - Multiple linear regression using least squares.regstats - Regression diagnostics.lsline - Add least-square fit line to scatter plot.robustfit - Robust regression model fitting.polyfit - Least-squares polynomial fittingcorr - Linear correlation coefficient.partialcorr - Linear partial correlation coefficient.

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Statistik Multivariateclusterdata - Construct clusters from data.factoran - Factor analysis.princomp - Principal components analysis from raw data.rotatefactors - Rotation of FA or PCA loadings.barttest - Bartlett's test for dimensionality.

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Probability density functionbetapdf - Beta density.binopdf - Binomial density.chi2pdf - Chi square density.exppdf - Exponential density.fpdf - F density.gampdf - Gamma density.geopdf - Geometric density.hygepdf - Hypergeometric density.lognpdf - Lognormal density.nbinpdf - Negative binomial density.normpdf - Normal (Gaussian) density.poisspdf - Poisson density.tpdf - T density.unidpdf - Discrete uniform density.unifpdf - Uniform density.wblpdf - Weibull density.

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Cumulative distribution function

betacdf - Beta cumulative distribution function.binocdf - Binomial cumulative distribution function.chi2cdf - Chi square 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 - Lognormal cumulative distribution function.nbincdf - Negative binomial cumulative distribution function.normcdf - Normal (Gaussian) cumulative distribution function.poisscdf - Poisson cumulative distribution function.tcdf - T cumulative distribution function.unidcdf - Discrete uniform cumulative distribution function.unifcdf - Uniform cumulative distribution function.wblcdf - Weibull cumulative distribution function.

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Inverse Distribution Function

betainv - Beta inverse cumulative distribution function.binoinv - Binomial inverse cumulative distribution function.chi2inv - Chi square 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.logninv - Lognormal inverse cumulative distribution function.nbininv - Negative binomial inverse distribution function.norminv - Normal (Gaussian) inverse cumulative distribution function.poissinv - Poisson 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.

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Random Generatorbetarnd - Beta random numbers.binornd - Binomial random numbers.chi2rnd - Chi square random numbers.frnd - F random numbers.gamrnd - Gamma random numbers.geornd - Geometric random numbers.hygernd - Hypergeometric random numbers.lognrnd - Lognormal random numbers.nbinrnd - Negative binomial random numbers.normrnd - Normal (Gaussian) random numbers.poissrnd - Poisson random numbers.unidrnd - Discrete uniform random numbers.unifrnd - Uniform random numbers.wblrnd - Weibull random numbers.

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Parameter Estimationbetafit - Beta parameter estimation.binofit - Binomial parameter estimation.expfit - Exponential parameter estimation.gamfit - Gamma parameter estimation.lognfit - Lognormal parameter estimation.nbinfit - Negative binomial parameter estimation.normfit - Normal parameter estimation.poissfit - Poisson parameter estimation.unifit - Uniform parameter estimation.wblfit - Weibull parameter estimation.

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Distribution Fitting Testdfittool - Distribution fitting tool.chi2gof - Chi-square goodness-of-fit test.jbtest - Jarque-Bera test of normality.kstest - Kolmogorov-Smirnov test 1 sample.kstest2 - Kolmogorov-Smirnov test 2 samples.lillietest - Lilliefors test of normality.

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Most Likelihood Estimation (MLE)

mle - Maximum likelihood estimation.betalike - Negative beta log-likelihood.explike - Negative exponential log-likelihood.gamlike - Negative gamma log-likelihood.lognlike - Negative lognormal log-likelihood.nbinlike - Negative binomial log-likelihood.normlike - Negative normal likelihood.wbllike - Negative Weibull log-likelihood.

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