ds_list_sum_of_squares
The sum of squares, or sum of squared deviation scores, is a measure of variability in a data set.
$$\large TSS=\Sigma(x_i-\bar{x})^2 \qquad \bar{x}=\frac{\Sigma{x}}{n}$$
- ds_list_sum_of_squares(list)
- Returns the sum of squares of all values in a list.
COPY/// @func ds_list_sum_of_squares(list)
///
/// @desc Returns the sum of squares of all values in a list.
/// The sum of squares, or sum of squared deviation
/// scores, is a measure of variability in a data set.
/// If the list is empty, undefined is returned.
///
/// @param {list} list list data structure
///
/// @return {real} sum of squared deviation scores
///
/// GMLscripts.com/license
function ds_list_sum_of_squares(list)
{
var n = ds_list_size(list);
if (n == 0) return undefined;
var avg = 0;
var sum = 0;
for (var i=0; i<n; i++) avg += ds_list_find_value(list, i);
avg /= n;
for (var i=0; i<n; i++) sum += sqr(ds_list_find_value(list, i) - avg);
return sum;
}
Contributors: xot
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