statistical functions with php?

[Craih Matthews]

hello, does anyone know how to do statistical functions within php? i mean
things like standard deviation, regression etc? any code samples, examples
etc would be great!

thanks!

cm

[Nikolai Chuvakhin]

"Craih Matthews" <craig1972@nonononospamspamspam.x-mail.net> wrote
in message news:<bqpro2$qjj$1@news01dd.so-net.ne.jp>...

>
> does anyone know how to do statistical functions within php?
> i mean things like standard deviation, regression etc?

Here's what I use for simple statistics (all arguments are arrays):

function stat_mean ($data) {
// calculates mean
return (array_sum($data) / count($data));
}

function stat_median ($data) {
// calculates median
sort ($data);
$elements = count ($data);
if (($elements % 2) == 0) {
$i = $elements / 2;
return (($data[$i - 1] + $data[$i]) / 2);
} else {
$i = ($elements - 1) / 2;
return $data[$i];
}
}

function stat_range ($data) {
// calculates range
return (max($data) - min($data));
}

function stat_var ($data) {
// calculates sample variance
$n = count ($data);
$mean = stat_mean ($data);
$sum = 0;
foreach ($data as $element) {
$sum += pow (($element - $mean), 2);
}
return ($sum / ($n - 1));
}

function stat_varp ($data) {
// calculates population variance
$n = count ($data);
$mean = stat_mean ($data);
$sum = 0;
foreach ($data as $element) {
$sum += pow (($element - $mean), 2);
}
return ($sum / $n);
}

function stat_stdev ($data) {
// calculates sample standard deviation
return sqrt (stat_var($data));
}

function stat_stdevp ($data) {
// calculates population standard deviation
return sqrt (stat_varp($data));
}

function stat_simple_regression ($x, $y) {
// runs a simple linear regression on $x and $y
// returns an associative array containing the following fields:
// a - intercept
// b - slope
// s - standard error of estimate
// r - correlation coefficient
// r2 - coefficient of determination (r-squared)
// cov - covariation
// t - t-statistic
$output = array();
$output['a'] = 0;
$n = min (count($x), count($y));
$mean_x = stat_mean ($x);
$mean_y = stat_mean ($y);
$SS_x = 0;
foreach ($x as $element) {
$SS_x += pow (($element - $mean_x), 2);
}
$SS_y = 0;
foreach ($y as $element) {
$SS_y += pow (($element - $mean_y), 2);
}
$SS_xy = 0;
for ($i = 0; $i < $n; $i++) {
$SS_xy += ($x[$i] - $mean_x) * ($y[$i] - $mean_y);
}
$output['b'] = $SS_xy / $SS_x;
$output['a'] = $mean_y - $output['b'] * $mean_x;
$output['s'] = sqrt (($SS_y - $output['b'] * $SS_xy)/ ($n - 2));
$output['r'] = $SS_xy / sqrt ($SS_x * $SS_y);
$output['r2'] = pow ($output['r'], 2);
$output['cov'] = $SS_xy / ($n - 1);
$output['t'] = $output['r'] / sqrt ((1 - $output['r2']) / ($n - 2));

return $output;
}

More complicated things (such as multiple regressions) are yet
to be implemented... When I'm 64, perhaps... :)

Cheers,
NC

[Unregistered]

These function were quite useful. Thanks . KANA