PHP Snippet 1:
// sort array ascending
const asc = arr => arr.sort((a, b) => a - b);
const sum = arr => arr.reduce((a, b) => a + b, 0);
const mean = arr => sum(arr) / arr.length;
// sample standard deviation
const std = (arr) => {
const mu = mean(arr);
const diffArr = arr.map(a => (a - mu) ** 2);
return Math.sqrt(sum(diffArr) / (arr.length - 1));
};
const quantile = (arr, q) => {
const sorted = asc(arr);
const pos = (sorted.length - 1) * q;
const base = Math.floor(pos);
const rest = pos - base;
if (sorted[base + 1] !== undefined) {
return sorted[base] + rest * (sorted[base + 1] - sorted[base]);
} else {
return sorted[base];
}
};
const q25 = arr => quantile(arr, .25);
const q50 = arr => quantile(arr, .50);
const q75 = arr => quantile(arr, .75);
const median = arr => q50(arr);
PHP Snippet 2:
//from https://blog.poettner.de/2011/06/09/simple-statistics-with-php/
function Median($Array) {
return Quartile_50($Array);
}
function Quartile_25($Array) {
return Quartile($Array, 0.25);
}
function Quartile_50($Array) {
return Quartile($Array, 0.5);
}
function Quartile_75($Array) {
return Quartile($Array, 0.75);
}
function Quartile($Array, $Quartile) {
sort($Array);
$pos = (count($Array) - 1) * $Quartile;
$base = floor($pos);
$rest = $pos - $base;
if( isset($Array[$base+1]) ) {
return $Array[$base] + $rest * ($Array[$base+1] - $Array[$base]);
} else {
return $Array[$base];
}
}
function Average($Array) {
return array_sum($Array) / count($Array);
}
function StdDev($Array) {
if( count($Array) < 2 ) {
return;
}
$avg = Average($Array);
$sum = 0;
foreach($Array as $value) {
$sum += pow($value - $avg, 2);
}
return sqrt((1 / (count($Array) - 1)) * $sum);
}
PHP Snippet 3:
//adapted from https://blog.poettner.de/2011/06/09/simple-statistics-with-php/
function Median(data) {
return Quartile_50(data);
}
function Quartile_25(data) {
return Quartile(data, 0.25);
}
function Quartile_50(data) {
return Quartile(data, 0.5);
}
function Quartile_75(data) {
return Quartile(data, 0.75);
}
function Quartile(data, q) {
data=Array_Sort_Numbers(data);
var pos = ((data.length) - 1) * q;
var base = Math.floor(pos);
var rest = pos - base;
if( (data[base+1]!==undefined) ) {
return data[base] + rest * (data[base+1] - data[base]);
} else {
return data[base];
}
}
function Array_Sort_Numbers(inputarray){
return inputarray.sort(function(a, b) {
return a - b;
});
}
function Array_Sum(t){
return t.reduce(function(a, b) { return a + b; }, 0);
}
function Array_Average(data) {
return Array_Sum(data) / data.length;
}
function Array_Stdev(tab){
var i,j,total = 0, mean = 0, diffSqredArr = [];
for(i=0;i<tab.length;i+=1){
total+=tab[i];
}
mean = total/tab.length;
for(j=0;j<tab.length;j+=1){
diffSqredArr.push(Math.pow((tab[j]-mean),2));
}
return (Math.sqrt(diffSqredArr.reduce(function(firstEl, nextEl){
return firstEl + nextEl;
})/tab.length));
}
PHP Snippet 4:
//Credit D3: https://github.com/d3/d3-array/blob/master/LICENSE
function quantileSorted(values, p, fnValueFrom) {
var n = values.length;
if (!n) {
return;
}
fnValueFrom =
Object.prototype.toString.call(fnValueFrom) == "[object Function]"
? fnValueFrom
: function (x) {
return x;
};
p = +p;
if (p <= 0 || n < 2) {
return +fnValueFrom(values[0], 0, values);
}
if (p >= 1) {
return +fnValueFrom(values[n - 1], n - 1, values);
}
var i = (n - 1) * p,
i0 = Math.floor(i),
value0 = +fnValueFrom(values[i0], i0, values),
value1 = +fnValueFrom(values[i0 + 1], i0 + 1, values);
return value0 + (value1 - value0) * (i - i0);
}
PHP Snippet 5:
function Quartile(data, q) {
data=Array_Sort_Numbers(data); // we're assuming it's already sorted, above, vs. the function use here. same difference.
var pos = ((data.length) - 1) * q; // i = (n - 1) * p
var base = Math.floor(pos); // i0 = Math.floor(i)
var rest = pos - base; // (i - i0);
if( (data[base+1]!==undefined) ) {
// value0 + (i - i0) * (value1 which is values[i0+1] - value0 which is values[i0])
return data[base] + rest * (data[base+1] - data[base]);
} else {
// I think this is covered by if (p <= 0 || n < 2)
return data[base];
}
}