TwoSampleZTest Class

public sealed class TwoSampleZTest : HypothesisTest

Public NotInheritable Class TwoSampleZTest
	Inherits HypothesisTest

public ref class TwoSampleZTest sealed : public HypothesisTest

[<SealedAttribute>]
type TwoSampleZTest = 
    class
        inherit HypothesisTest
    end

Inheritance

Object  →  HypothesisTest  →  TwoSampleZTest

Use the TwoSampleZTest class to test the hypothesis that the difference between proportions of independent samples is significant.

The null hypothesis for this test is that the difference between the two proportions is zero. The test statistic follows a normal distribution under the null hypothesis.

This test is commonly used in applications where it is necessary to compare the proportions of two different groups, such as in clinical trials, marketing research, and quality control.

The TwoSampleZTest class provides methods to calculate the test statistic, evaluate the p-value, and determine whether to reject the null hypothesis.

The following example demonstrates how to use the TwoSampleZTest class with the default constructor.

using Numerics.NET.Statistics.Tests;
using System;

Vector<double> sample1 = [ 0.1, 0.2, 0.3, 0.4, 0.5 ];
Vector<double> sample2 = [ 0.2, 0.3, 0.4, 0.5, 0.6 ];

TwoSampleZTest test = new TwoSampleZTest();
test.Sample1 = sample1;
test.Sample2 = sample2;

double statistic = test.CalculateStatistic();
double pValue = test.GetPValue(HypothesisType.TwoTailed);

Console.WriteLine($"Test Statistic: {statistic}");
Console.WriteLine($"P-Value: {pValue}");

The following example demonstrates how to use the TwoSampleZTest class with the parameterized constructor.

using Numerics.NET.Statistics.Tests;
using System;

int count1 = 50;
double proportion1 = 0.4;
int count2 = 60;
double proportion2 = 0.5;
double difference = 0.1;

TwoSampleZTest test = new TwoSampleZTest(count1, proportion1, count2, proportion2, difference);

double statistic = test.CalculateStatistic();
double pValue = test.GetPValue(HypothesisType.TwoTailed);

Console.WriteLine($"Test Statistic: {statistic}");
Console.WriteLine($"P-Value: {pValue}");

Reference