@formant/ava/lib/data/statistics/buishand-u.js

A framework for automated visual analytics.

"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.buishandUTest = void 0;
var lodash_1 = require("lodash");
var __1 = require("..");
var window_1 = require("./window");
/**
 * Buishad U statistics test
 */
function buishandUTest(data) {
    var n = data === null || data === void 0 ? void 0 : data.length;
    var meanValue = (0, lodash_1.mean)(data);
    var Sk = data.map(function (_, index) { return (0, lodash_1.sum)(data.slice(0, index + 1)) - meanValue * (index + 1); });
    var U = (0, lodash_1.sumBy)(Sk.slice(0, n - 1), function (item) { return Math.pow(item, 2); }) / (n * (n + 1));
    var Smax = (0, __1.maxabs)(Sk);
    var maxIndex = Sk.findIndex(function (item) { return item === Smax; });
    return {
        uValue: U,
        index: maxIndex,
        significance: 1 - (0, window_1.calcPValue)(data, maxIndex),
    };
}
exports.buishandUTest = buishandUTest;