/** * @license Apache-2.0 * * Copyright (c) 2021 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ 'use strict'; // MODULES // var isPlainObject = require( '@stdlib/assert/is-plain-object' ); var setReadOnly = require( '@stdlib/utils/define-read-only-property' ); var anova1 = require( './../../anova1' ); var absMeanDiff = require( './absdiff.js' ); var validate = require( './validate.js' ); var unique = require( './unique.js' ); var print = require( './print.js' ); // eslint-disable-line stdlib/no-redeclare // MAIN // /** * Computes Levene's test for equal variances. * * @param {...NumericArray} arguments - either two or more number arrays or a single numeric array if provided an array of group indicators * @param {Options} [options] - function options * @param {number} [options.alpha=0.05] - significance level * @param {Array} [options.groups] - array of group indicators * @throws {TypeError} must provide array-like arguments * @throws {RangeError} alpha option must be a number on the interval `[0,1]` * @throws {Error} must provide at least two array-like arguments if `groups` is not provided * @throws {TypeError} options must be an object * @throws {TypeError} must provide valid options * @returns {Object} test results * * @example * // Data from Hollander & Wolfe (1973), p. 116: * var x = [ 2.9, 3.0, 2.5, 2.6, 3.2 ]; * var y = [ 3.8, 2.7, 4.0, 2.4 ]; * var z = [ 2.8, 3.4, 3.7, 2.2, 2.0 ]; * * var out = levene( x, y, z ); * // returns {...} */ function levene() { var options; var result; var groups; var levels; var args; var opts; var arg; var err; var out; var i; var j; var k; k = arguments.length; args = []; opts = {}; if ( isPlainObject( arguments[ k-1 ] ) ) { options = arguments[ k-1 ]; k -= 1; err = validate( opts, options ); if ( err ) { throw err; } } else { options = {}; } if ( opts.groups ) { args = arguments[ 0 ]; groups = opts.groups; levels = unique( groups ); k = levels.length; if ( k < 2 ) { throw new Error( 'invalid option. `groups` option must contain at least two unique elements. Value: `' + levels + '`.' ); } } else { groups = []; args = []; levels = []; for ( i = 0; i < k; i++ ) { arg = arguments[ i ]; if ( arg.length === 0 ) { throw new Error( 'invalid argument. Provided arrays cannot be empty. Value: `' + arg + '`.' ); } args = args.concat( arg ); for ( j = 0; j < arg.length; j++ ) { groups.push( i ); } levels.push( i ); } } args = absMeanDiff( args, groups, levels ); result = anova1( args, groups, options ); out = {}; setReadOnly( out, 'rejected', result.rejected ); setReadOnly( out, 'alpha', result.alpha ); setReadOnly( out, 'pValue', result.pValue ); setReadOnly( out, 'statistic', result.statistic ); setReadOnly( out, 'df', [ result.treatment.df, result.error.df ] ); setReadOnly( out, 'method', 'Levene\'s test for Homogeneity of Variance' ); setReadOnly( out, 'print', print ); return out; } // EXPORTS // module.exports = levene;