Statistics

• Cumulated Distribution Functions

  • cdfbet cumulative distribution function Beta distribution
  • cdfbin cumulative distribution function Binomial distribution
  • cdfchi cumulative distribution function chi-square distribution
  • cdfchn cumulative distribution function non-central chi-square distribution
  • cdff cumulative distribution function F distribution
  • cdffnc cumulative distribution function non-central f-distribution
  • cdfgam cumulative distribution function gamma distribution
  • cdfnbn cumulative distribution function negative binomial distribution
  • cdfnor cumulative distribution function normal distribution
  • cdfpoi cumulative distribution function poisson distribution
  • cdft cumulative distribution function Student’s T distribution

• Central Tendency

  • geomean geometric mean
  • harmean harmonic mean
  • mean mean (row mean, column mean) of vector/matrix entries
  • meanf weighted mean of a vector or a matrix
  • trimmean trimmed mean of a vector or a matrix

• Data with Missing Values

  • nancumsum Thos function returns the cumulative sum of the values of a matrix
  • nand2mean difference of the means of two independent samples
  • nanmax max (ignoring Nan’s)
  • nanmean mean (ignoring Nan’s)
  • nanmeanf mean (ignoring Nan’s) with a given frequency.
  • nanmedian median of the values of a numerical vector or matrix
  • nanmin min (ignoring Nan’s)
  • nanstdev standard deviation (ignoring the NANs).
  • nansum Sum of values ignoring NAN’s
  • thrownan Eliminates nan values

• Descriptive Statistics

  • center center
  • correl correlation of two variables
  • covar covariance of two variables
  • median median (row median, column median,...) of vector/matrix/array entries
  • msd mean squared deviation
  • mvvacov computes variance-covariance matrix
  • st_deviation standard deviation (row or column-wise) of vector/matrix entries
  • stdevf standard deviation
  • variance variance of the values of a vector or matrix
  • variancef standard deviation of the values of a vector or matrix
  • wcenter center and weight

• Hypothesis Testing

  • ftest Fisher ratio
  • ftuneq Fisher ratio for samples of unequal size.

• Measures of Dispersion

  • iqr interquartile range
  • mad mean absolute deviation
  • strange range

• Measures of Shape

  • cmoment central moments of all orders
  • moment non central moments of all orders
  • perctl computation of percentils
  • quart computation of quartiles

• Principal Component Analysis

  • pca Computes principal components analysis with standardized variables
  • princomp Principal components analysis
  • show_pca Visualization of principal components analysis results

• Regression

  • regress regression coefficients of two variables

• Sampling

  • sample Sampling with replacement
  • samplef sample with replacement from a population and frequences of his values.
  • samwr Sampling without replacement

• Summaries

  • nfreq frequence of the values in a vector or matrix
  • tabul frequency of values of a matrix or vector