Programmer Guide/Command Reference/EVAL/hist: Difference between revisions
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Calculate the absolute frequency of the values of vector ''x'' in arbitrary classes. Depending on the number of extents, the result of the function is a vector or a scalar. | |||
;Usage: | |||
:'''<code>hist(<var>x</var>, <var>us</var>, <var>os</var>, <var>n</var>)</code>''' | |||
:'''<code>hist(<var>x</var>, <var>uv</var>, <var>ov</var>)</code>''' | |||
:'''<code>hist(<var>x</var>, <var>rv</var>)</code>''' | |||
:'''<code>wsum(hist(<var>x</var>, <var>rm</var>)</code>''' | |||
:;<var>x, y</var>: the x- and y-data vector: <code>''y''[i] = f(''x''[i])</code> | |||
:;<var>us, os, n</var>: Every pair <code>{'us'+d*k, ''us''+d*(k+1)} (with: d=(''os''-''us'')/n, k=0..n-1)</code> defines a class. All three arguments are scalars. | |||
:;<var>uv, ov</var>: Every pair <code>{''uv''[k], ''ov''[k]} (with k=0..nrow(''uv'')-1)</code> defines a class. Both arguments must be vectors with same length. | |||
:;<var>rv</var>: Every pair <code>{''rv''[k], ''rv''[k+1]} (with k=0..nrow(''rv'')-2)</code> defines a class. The argument must be vector. | |||
:;<var>rm</var>: Every pair <code>{''rm''[k,0], ''rm''[k,1]} (with k=0..nrow(''rm'')-1)</code> defines a class. The argument must be matrix with 2 columns. | |||
;Result: The result ''r'' is a scalar or a vector. Each element ''r''<sub>i</sub> is number of elements of x belonging to class i. An element ''x''<sub>k</sub>belongs to a class i if <code>xmin<sub>i</sub> <= ''x''<sub>k</sub> < xmax<sub>i</sub></code>. | |||
;See also: [[Programmer_Guide/Command_Reference/EVAL/sum|sum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]] | |||
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]] | |||
=====hist===== | =====hist===== | ||
Revision as of 12:32, 8 April 2011
Calculate the absolute frequency of the values of vector x in arbitrary classes. Depending on the number of extents, the result of the function is a vector or a scalar.
- Usage
hist(x, us, os, n)
hist(x, uv, ov)
hist(x, rv)
wsum(hist(x, rm)
- x, y
- the x- and y-data vector:
y[i] = f(x[i])
- us, os, n
- Every pair
{'us'+d*k, us+d*(k+1)} (with: d=(os-us)/n, k=0..n-1)
defines a class. All three arguments are scalars. - uv, ov
- Every pair
{uv[k], ov[k]} (with k=0..nrow(uv)-1)
defines a class. Both arguments must be vectors with same length. - rv
- Every pair
{rv[k], rv[k+1]} (with k=0..nrow(rv)-2)
defines a class. The argument must be vector. - rm
- Every pair
{rm[k,0], rm[k,1]} (with k=0..nrow(rm)-1)
defines a class. The argument must be matrix with 2 columns.
- Result
- The result r is a scalar or a vector. Each element ri is number of elements of x belonging to class i. An element xkbelongs to a class i if
xmini <= xk < xmaxi
.
hist
The absolute frequency of a vector in arbitrary classes. The result of the following functions is a vector or a scalar (dependent on the number of classes).
Using n classes with the same width, the first class begins at us and the last class ends at os.
hist(x, us, os, n)
nrow(uv) classes where every pair (uv[i], ov[i]) defines the value range of a class.
hist(x, uv, ov)
nrow(rv)-1 classes where every pair (rv[i], rv[i+1]) defines the value range for summation.
hist(x, rv)
nrow(rm) classes where every pair (rm[i,0], rm[i,1]) defines a value range for summation.
hist(x, rm)