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test: migrate stats/ttest2 to ULP-based assertions #15481

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kgryte merged 1 commit into from
Sep 24, 2026
Merged

test: migrate stats/ttest2 to ULP-based assertions #15481

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75 changes: 17 additions & 58 deletions lib/node_modules/@stdlib/stats/ttest2/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -22,10 +22,9 @@

var tape = require( 'tape' );
var contains = require( '@stdlib/assert/contains' );
var abs = require( '@stdlib/math/base/special/abs' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var EPS = require( '@stdlib/constants/float64/eps' );
var ttest2 = require( './../lib' );


Expand Down Expand Up @@ -180,9 +179,7 @@ tape( 'the function throws an error if the `alpha` option is a numeric value out

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

Expand All @@ -192,33 +189,23 @@ tape( 'the function by default performs a Welch two-sample t-test assuming unequ

// Tested against R:
expected = unequal.pValue;
delta = abs( out.pValue - expected );
tol = 18.0 * 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, 17 ), true, 'returns expected value' );

expected = unequal.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, 0 ), true, 'returns expected value' );

expected = unequal.lower;
delta = abs( out.ci[0] - expected );
tol = 16.0 * 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, 0 ), true, 'returns expected value' );

expected = unequal.upper;
delta = abs( out.ci[1] - expected );
tol = 1.0 * 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, 1 ), true, 'returns expected value' );

t.end();
});

tape( 'the function performs a two-sample t-test assuming equal population variances if `variance` option is set to `equal`', function test( t ) {
var expected;
var delta;
var out;
var tol;
var a;
var b;

Expand All @@ -230,33 +217,23 @@ tape( 'the function performs a two-sample t-test assuming equal population varia

// Tested against R:
expected = equal.pValue;
delta = abs( out.pValue - expected );
tol = 2.0 * 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, 1 ), true, 'returns expected value' );

expected = equal.statistic;
delta = abs( out.statistic - expected );
tol = 4.0 * 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, 0 ), true, 'returns expected value' );

expected = equal.lower;
delta = abs( out.ci[0] - expected );
tol = 8.0 * 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, 0 ), true, 'returns expected value' );

expected = equal.upper;
delta = abs( out.ci[1] - expected );
tol = 8.0 * 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, 0 ), true, 'returns expected value' );

t.end();
});

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

Expand All @@ -271,23 +248,17 @@ tape( 'the function performs a two-sample t-test assuming the true difference in
t.strictEqual( out.statistic, diff.statistic, 'returns correct test statistic' );

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, 0 ), 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, 0 ), true, 'returns expected value' );

t.end();
});

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

Expand All @@ -299,41 +270,29 @@ tape( 'the function performs a one-sided Welch two-sample t-test assuming unequa

// Tested against R:
expected = less.pValue;
delta = abs( out.pValue - expected );
tol = 18.0 * 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, 17 ), true, 'returns expected value' );

expected = less.statistic;
delta = abs( out.statistic - expected );
tol = 2.0 * 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, 0 ), true, 'returns expected value' );

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

expected = less.upper;
delta = abs( out.ci[1] - expected );
tol = 4.0 * 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, 0 ), true, 'returns expected value' );

out = ttest2( a, b, {
'alternative': 'greater'
});

// Tested against R:
expected = greater.pValue;
delta = abs( out.pValue - expected );
tol = 4.0 * 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, 0 ), true, 'returns expected value' );

expected = greater.statistic;
delta = abs( out.statistic - expected );
tol = 2.0 * 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, 0 ), true, 'returns expected value' );

expected = greater.lower;
delta = abs( out.ci[0] - expected );
tol = 7.0 * 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, 0 ), true, 'returns expected value' );

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

Expand Down
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