tabul

frequency of values of a matrix or vector

Calling Sequence

[m]=tabul(X [,order])

Arguments

:X vector or matrix (of real or complex numbers or strings) : :order (optional) a character equal to “d” or “i” (default value

“d”)

: :m a 2 columns matrix (if X is a numerical vector or matrix) or a

list with 2 members (if X is a string vector or matrix).

:

Description

This function computes the frequency of values of the components of a vector or matrix X of numbers or string characters :

:if X is a numerical vector or matrix then m is a two column matrix

who contains in the first column the distinct values of X and in the other column the number of occurrences of those values (m(i,2) is the number of occurrences of m(i,1)).

: :if X is a string vector or matrix then m is a list whose first

member is a string (column) vector composed with the distinct values of X and the second member is a (column) vector whose components are the number of occurrences of those values ( m(i)(2) is the number of occurrences of the string m(i)(1) ).

:

The optional parameter order must be “d” or “i” (by default order=”d”) and gives the order (decreasing or increasing) the distinct values of X will be sorted.

Examples

// first example
X = [2 8 0 3 7 6 8 7 9 1 6 7 7 2 5 2 2 2 9 7]
m1 = tabul(X)
m2 = tabul(X, "i")

// second example
X = ["ba" "baba" "a" "A" "AA" "a" "aa" "aa" "aa" "A" "ba"]
m = tabul(X,"i")

// third example
n = 50000;
X = `grand`_(n,1,"bin",70,0.5);
m = tabul(X,"i");
`clf`_()
`plot2d3`_(m(:,1), m(:,2)/n)
`xtitle`_("empirical probabilities of B(70,0.5)")

// last example : computes the occurrences of words of the scilab license
text = `read`_(SCI+"/license.txt",-1,1,"(A)"); // read the scilab license
bigstr = `strcat`_(text," ");                  // put all the lines in a big string
sep =  [" " "," "." ";" "*" ":" "-" """"];  // words separators
words = `tokens`_(bigstr, sep);                // cut the big string into words
m = tabul(words);                           // computes occurrences of each word
[occ , p] = `gsort`_(m(2));                     // sort by decreasing frequencies
results = [m(1)(p) `string`_(occ)]             // display result

See Also

• dsearch search in ordered sets
• histplot plot a histogram

Bibliography

Wonacott, T.H. & Wonacott, R.J.; Introductory Statistics, fifth edition, J.Wiley & Sons, 1990.