""" ========================================== Statistical functions (:mod:`scipy.stats`) ========================================== .. module:: scipy.stats This module contains a large number of probability distributions as well as a growing library of statistical functions. Each included distribution is an instance of the class rv_continous: For each given name the following methods are available: .. autosummary:: :toctree: generated/ rv_continuous rv_continuous.rvs rv_continuous.pdf rv_continuous.logpdf rv_continuous.cdf rv_continuous.logcdf rv_continuous.sf rv_continuous.logsf rv_continuous.ppf rv_continuous.isf rv_continuous.moment rv_continuous.stats rv_continuous.entropy rv_continuous.fit rv_continuous.expect rv_continuous.median rv_continuous.mean rv_continuous.var rv_continuous.std rv_continuous.interval Calling the instance as a function returns a frozen pdf whose shape, location, and scale parameters are fixed. Similarly, each discrete distribution is an instance of the class rv_discrete: .. autosummary:: :toctree: generated/ rv_discrete rv_discrete.rvs rv_discrete.pmf rv_discrete.logpmf rv_discrete.cdf rv_discrete.logcdf rv_discrete.sf rv_discrete.logsf rv_discrete.ppf rv_discrete.isf rv_discrete.stats rv_discrete.moment rv_discrete.entropy rv_discrete.expect rv_discrete.median rv_discrete.mean rv_discrete.var rv_discrete.std rv_discrete.interval Continuous distributions ======================== .. autosummary:: :toctree: generated/ norm -- Normal (Gaussian) alpha -- Alpha anglit -- Anglit arcsine -- Arcsine beta -- Beta betaprime -- Beta Prime bradford -- Bradford burr -- Burr cauchy -- Cauchy chi -- Chi chi2 -- Chi-squared cosine -- Cosine dgamma -- Double Gamma dweibull -- Double Weibull erlang -- Erlang expon -- Exponential exponweib -- Exponentiated Weibull exponpow -- Exponential Power f -- F (Snecdor F) fatiguelife -- Fatigue Life (Birnbaum-Sanders) fisk -- Fisk foldcauchy -- Folded Cauchy foldnorm -- Folded Normal frechet_r -- Frechet Right Sided, Extreme Value Type II (Extreme LB) or weibull_min frechet_l -- Frechet Left Sided, Weibull_max genlogistic -- Generalized Logistic genpareto -- Generalized Pareto genexpon -- Generalized Exponential genextreme -- Generalized Extreme Value gausshyper -- Gauss Hypergeometric gamma -- Gamma gengamma -- Generalized gamma genhalflogistic -- Generalized Half Logistic gilbrat -- Gilbrat gompertz -- Gompertz (Truncated Gumbel) gumbel_r -- Right Sided Gumbel, Log-Weibull, Fisher-Tippett, Extreme Value Type I gumbel_l -- Left Sided Gumbel, etc. halfcauchy -- Half Cauchy halflogistic -- Half Logistic halfnorm -- Half Normal hypsecant -- Hyperbolic Secant invgamma -- Inverse Gamma invgauss -- Inverse Gaussian invweibull -- Inverse Weibull johnsonsb -- Johnson SB johnsonsu -- Johnson SU ksone -- Kolmogorov-Smirnov one-sided (no stats) kstwobign -- Kolmogorov-Smirnov two-sided test for Large N (no stats) laplace -- Laplace logistic -- Logistic loggamma -- Log-Gamma loglaplace -- Log-Laplace (Log Double Exponential) lognorm -- Log-Normal lomax -- Lomax (Pareto of the second kind) maxwell -- Maxwell mielke -- Mielke's Beta-Kappa nakagami -- Nakagami ncx2 -- Non-central chi-squared ncf -- Non-central F nct -- Non-central Student's T pareto -- Pareto powerlaw -- Power-function powerlognorm -- Power log normal powernorm -- Power normal rdist -- R-distribution reciprocal -- Reciprocal rayleigh -- Rayleigh rice -- Rice recipinvgauss -- Reciprocal Inverse Gaussian semicircular -- Semicircular t -- Student's T triang -- Triangular truncexpon -- Truncated Exponential truncnorm -- Truncated Normal tukeylambda -- Tukey-Lambda uniform -- Uniform vonmises -- Von-Mises (Circular) wald -- Wald weibull_min -- Minimum Weibull (see Frechet) weibull_max -- Maximum Weibull (see Frechet) wrapcauchy -- Wrapped Cauchy Discrete distributions ====================== .. autosummary:: :toctree: generated/ binom -- Binomial bernoulli -- Bernoulli nbinom -- Negative Binomial geom -- Geometric hypergeom -- Hypergeometric logser -- Logarithmic (Log-Series, Series) poisson -- Poisson planck -- Planck (Discrete Exponential) boltzmann -- Boltzmann (Truncated Discrete Exponential) randint -- Discrete Uniform zipf -- Zipf dlaplace -- Discrete Laplacian Statistical functions ===================== Several of these functions have a similar version in scipy.stats.mstats which work for masked arrays. .. autosummary:: :toctree: generated/ gmean -- Geometric mean hmean -- Harmonic mean mean -- Arithmetic mean cmedian -- Computed median median -- Median mode -- Modal value tmean -- Truncated arithmetic mean tvar -- Truncated variance tmin _ tmax _ tstd _ tsem _ moment -- Central moment variation -- Coefficient of variation skew -- Skewness kurtosis -- Fisher or Pearson kurtosis describe -- Descriptive statistics skewtest _ kurtosistest _ normaltest _ .. autosummary:: :toctree: generated/ itemfreq _ scoreatpercentile _ percentileofscore _ histogram2 _ histogram _ cumfreq _ relfreq _ .. autosummary:: :toctree: generated/ obrientransform signaltonoise bayes_mvs sem zmap zscore .. autosummary:: :toctree: generated/ threshold trimboth trim1 .. autosummary:: :toctree: generated/ f_oneway pearsonr spearmanr pointbiserialr kendalltau linregress .. autosummary:: :toctree: generated/ ttest_1samp ttest_ind ttest_rel kstest chisquare ks_2samp mannwhitneyu tiecorrect ranksums wilcoxon kruskal friedmanchisquare .. autosummary:: :toctree: generated/ ansari bartlett levene shapiro anderson binom_test fligner mood oneway Contingency table functions =========================== .. autosummary:: :toctree: generated/ fisher_exact chi2_contingency contingency.expected_freq contingency.margins General linear model ==================== .. autosummary:: :toctree: generated/ glm Plot-tests ========== .. autosummary:: :toctree: generated/ probplot ppcc_max ppcc_plot Masked statistics functions =========================== .. toctree:: stats.mstats Univariate and multivariate kernel density estimation (:mod:`scipy.stats.kde`) ============================================================================== .. autosummary:: :toctree: generated/ gaussian_kde For many more stat related functions install the software R and the interface package rpy. """ from stats import * from distributions import * from rv import * from morestats import * from kde import gaussian_kde import mstats from contingency import chi2_contingency #remove vonmises_cython from __all__, I don't know why it is included __all__ = filter(lambda s:not (s.startswith('_') or s.endswith('cython')),dir()) from numpy.testing import Tester test = Tester().test