STATS(1)                           |STAT                   January 20, 1987

NAME
     stats - print summary statistics

SYNOPSIS
     stats [-v] [n min max sum ss mean var sd skew kurt se]

DESCRIPTION
     _s_t_a_t_s prints summary statistics on the data read from the standard
     input.  The data can be in any format, as long as some white space
     separates the input values.  Non-numerical input values are ignored,
     so care must be taken to insure that the input is correct.

OPTIONS
     With no options, _s_t_a_t_s prints a summary table of statistic names and
     values separated by a tab delimited = sign.  When options are
     supplied, _s_t_a_t_s prints only the value of the statistics requested, in
     the order they were requested, on one line.

     -v   Verbose output.  This option causes requested statistics to be
          printed in name=value format.

     n    The number of real or integer values read in.  If no values are
          read in, then all statistics are zero.  If one value is read in,
          or if the variance of the distribution is zero, then all the
          higher order statistics are zero.

     min  The minimum value.

     max  The maximum value.

     sum  The sum of the input values.

     ss   The sum of squares of the input values.

     mean The arithmetic average: sum/n.

     var  The variance of the input, computed with "n-1" degrees of
          freedom.

     sd   The square root of the variance.

     skew The skewness of the distribution, as computed by SPSS and
          desc(1).

     kurt The kurtosis or pointiness of the distribution.  Normal
          distributions have a kurtosis of 3.

     se   The standard error of the input values.

     NA   Print the number of missing (NA) values.  Missing data are
          counted but not included in the analysis.

EXAMPLES
     Print the standard error of the mean:
          stats sd n | dm "x1 / x2^.5"

     Print the range of the data:
          stats min max | dm x2-x1

     Print the sum of the first 100 integers:
          series 1 100 | stats sum

     Print a t-test of the mean against 0.0:
          stats mean se | dm x1/x2
