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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 | 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x | /**
* @license Apache-2.0
*
* Copyright (c) 2020 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 min = require( '@stdlib/math/base/special/min' );
var max = require( '@stdlib/math/base/special/max' );
var Float64Array = require( '@stdlib/array/float64' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var order = require( './order.js' );
// VARIABLES //
var slice = Array.prototype.slice;
// MAIN //
/**
* Adjusts the p-values via Hommel's method.
*
* @private
* @param {ProbabilityArray} pvalues - p-values to be adjusted
* @param {PositiveInteger} comparisons - number of comparisons
* @returns {ProbabilityArray} adjusted p-values
*/
function hommel( pvalues, comparisons ) {
var indices;
var diff;
var adj;
var idx;
var len;
var out;
var mq;
var m;
var i;
var j;
var k;
var q;
var v;
len = pvalues.length;
diff = comparisons - len;
if ( diff > 0 ) {
pvalues = slice.call( pvalues );
while ( diff > 0 ) {
pvalues.push( 1.0 );
diff -= 1;
}
}
indices = order( pvalues );
m = PINF;
for ( i = 0; i < comparisons; i++ ) {
v = comparisons * pvalues[ i ] / ( i+1 );
if ( v < m ) {
m = v;
}
}
q = new Float64Array( comparisons );
adj = new Float64Array( comparisons );
for ( i = comparisons - 1; i > 1; i-- ) {
mq = PINF;
for ( k = comparisons - i + 1; k <= comparisons; k++ ) {
v = i * pvalues[ indices[ k ] ] / ( 2 + k - comparisons + i - 1 );
if ( v < mq ) {
mq = v;
}
}
for ( j = 0; j < comparisons - i + 1; j++ ) {
q[ j ] = min( i * pvalues[ indices[ j ] ], mq );
}
for ( k = comparisons - i + 1; k <= comparisons; k++ ) {
q[ k ] = q[ comparisons - i ];
}
for ( j = 0; j < adj.length; j++ ) {
adj[ j ] = max( q[ j ], adj[ j ] );
}
}
out = new Array( len );
for ( i = 0; i < len; i++ ) {
idx = indices[ i ];
v = max( adj[ i ], pvalues[ idx ] );
out[ idx ] = v;
}
return out;
}
// EXPORTS //
module.exports = hommel;
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