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<?php
namespace PhpOffice\PhpSpreadsheet\Calculation\Statistical\Distributions;
use PhpOffice\PhpSpreadsheet\Calculation\Exception;
use PhpOffice\PhpSpreadsheet\Calculation\Functions;
class Fisher
{
/**
* FISHER.
*
* Returns the Fisher transformation at x. This transformation produces a function that
* is normally distributed rather than skewed. Use this function to perform hypothesis
* testing on the correlation coefficient.
*
* @param mixed $value Float value for which we want the probability
*
* @return float|string
*/
public static function distribution($value)
{
$value = Functions::flattenSingleValue($value);
try {
DistributionValidations::validateFloat($value);
} catch (Exception $e) {
return $e->getMessage();
}
if (($value <= -1) || ($value >= 1)) {
return Functions::NAN();
}
return 0.5 * log((1 + $value) / (1 - $value));
}
/**
* FISHERINV.
*
* Returns the inverse of the Fisher transformation. Use this transformation when
* analyzing correlations between ranges or arrays of data. If y = FISHER(x), then
* FISHERINV(y) = x.
*
* @param mixed $probability Float probability at which you want to evaluate the distribution
*
* @return float|string
*/
public static function inverse($probability)
{
$probability = Functions::flattenSingleValue($probability);
try {
DistributionValidations::validateFloat($probability);
} catch (Exception $e) {
return $e->getMessage();
}
return (exp(2 * $probability) - 1) / (exp(2 * $probability) + 1);
}
}