Squared Deviations

Calculates the sum of squared deviations of a given set of data.

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Contents

Interface
Devsq
Page Comments

Dependents

Interface

C++

Devsq

template<class T> doubledevsq(	int	`n`
	T*	`data`	)

Returns the sum of squares of deviations of data points from their sample mean. The equation for the sum of squared deviations is:

$DEVSQ=\sum_{i=1}^N(x_i-\overline{x})^2$

(2)

where: $\inline {x_1, x_2 ..., x_N}$ is a set of data and $\inline \overline{x}$ is the arithmetic mean.

References:

http://www.pvv.ntnu.no/~nsaa/excel.html

Example 1

#include <codecogs/statistics/moments/squared_deviations.h>
#include <iostream>
 
int main()
{
  int x[5] = {4 , 5 , 8 , 6 , 3};
  double sq = Stats::Moments::devsq<int>(5, x);
  std::cout << "The sum of squared deviations is: " << sq << std::endl;
  return 0;
}

Output:

The sum of squared deviations is: 14.8

Parameters

n	the size of the population
data	the actual population data given as an array

Returns

sum of squared deviations of the given set of data

Authors

Anca Filibiu (August 2005)

Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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