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test: migrate stats/vartest to ULP-based assertions #15878

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61 changes: 14 additions & 47 deletions lib/node_modules/@stdlib/stats/vartest/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -21,10 +21,9 @@
// MODULES //

var tape = require( 'tape' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var contains = require( '@stdlib/assert/contains' );
var abs = require( '@stdlib/math/base/special/abs' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var EPS = require( '@stdlib/constants/float64/eps' );
var vartest = require( './../lib' );


Expand Down Expand Up @@ -155,9 +154,7 @@ tape( 'the function throws an error if the `alpha` option is a numeric value out

tape( 'the function by default performs a two-sample F-test', function test( t ) {
var expected;
var delta;
var out;
var tol;
var a;
var b;

Expand All @@ -167,33 +164,23 @@ tape( 'the function by default performs a two-sample F-test', function test( t )

// Tested against R:
expected = twosided.pValue;
delta = abs( out.pValue - expected );
tol = 250.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. pValue: '+out.pValue+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.pValue, expected, 253 ), true, 'returns expected value' );

expected = twosided.statistic;
delta = abs( out.statistic - expected );
tol = 1.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. statistic: '+out.statistic+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.statistic, expected, 1 ), true, 'returns expected value' );

expected = twosided.lower;
delta = abs( out.ci[0] - expected );
tol = 5.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. lower CI: '+out.ci[0]+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.ci[0], expected, 8 ), true, 'returns expected value' );

expected = twosided.upper;
delta = abs( out.ci[1] - expected );
tol = 10.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. upper CI: '+out.ci[1]+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.ci[1], expected, 9 ), true, 'returns expected value' );

t.end();
});

tape( 'the function performs a two-sample F-test assuming the true ratio of the population variances being equal to the value of the `ratio` option', function test( t ) {
var expected;
var delta;
var out;
var tol;
var a;
var b;

Expand All @@ -207,28 +194,20 @@ tape( 'the function performs a two-sample F-test assuming the true ratio of the
t.strictEqual( out.pValue, diff.pValue, 'returns correct p-value' );

expected = diff.statistic;
delta = abs( out.statistic - expected );
tol = 1.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. statistic: '+out.statistic+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.statistic, expected, 1 ), true, 'returns expected value' );

expected = diff.lower;
delta = abs( out.ci[0] - expected );
tol = 6.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. lower CI: '+out.ci[0]+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.ci[0], expected, 8 ), true, 'returns expected value' );

expected = diff.upper;
delta = abs( out.ci[1] - expected );
tol = 12.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. a: ['+a+']. b: ['+b+']. upper CI: '+out.ci[1]+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.ci[1], expected, 9 ), true, 'returns expected value' );

t.end();
});

tape( 'the function performs a one-sided two-sample F-test', function test( t ) {
var expected;
var delta;
var out;
var tol;
var a;
var b;

Expand All @@ -240,41 +219,29 @@ tape( 'the function performs a one-sided two-sample F-test', function test( t )

// Tested against R:
expected = less.pValue;
delta = abs( out.pValue - expected );
tol = 5.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. direction: less. a: ['+a+']. b: ['+b+']. pValue: '+out.pValue+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.pValue, expected, 4 ), true, 'returns expected value' );

expected = less.statistic;
delta = abs( out.statistic - expected );
tol = 1.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. direction: less. a: ['+a+']. b: ['+b+']. statistic: '+out.statistic+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.statistic, expected, 1 ), true, 'returns expected value' );

t.strictEqual( out.ci[0], 0.0, 'returns 0 as lower bound of CI' );

expected = less.upper;
delta = abs( out.ci[1] - expected );
tol = 5.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. direction: less. a: ['+a+']. b: ['+b+']. upper CI: '+out.ci[1]+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.ci[1], expected, 8 ), true, 'returns expected value' );

out = vartest( a, b, {
'alternative': 'greater'
});

// Tested against R:
expected = greater.pValue;
delta = abs( out.pValue - expected );
tol = 250.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. direction: greater. a: ['+a+']. b: ['+b+']. pValue: '+out.pValue+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.pValue, expected, 253 ), true, 'returns expected value' );

expected = greater.statistic;
delta = abs( out.statistic - expected );
tol = 1.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. direction: greater. a: ['+a+']. b: ['+b+']. statistic: '+out.statistic+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.statistic, expected, 1 ), true, 'returns expected value' );

expected = greater.lower;
delta = abs( out.ci[0] - expected );
tol = 1.0 * EPS * abs( expected );
t.ok( delta <= tol, 'within tolerance. direction: greater. a: ['+a+']. b: ['+b+']. lower CI: '+out.ci[0]+'. E: '+expected+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( out.ci[0], expected, 1 ), true, 'returns expected value' );

t.strictEqual( out.ci[1], PINF, 'returns Infinity as upper bound of CI' );

Expand Down
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