public void ZTestDistribution()
{
Random rng = new Random(1);
// define the sampling population (which must be normal for a z-test)
Distribution population = new NormalDistribution(2.0, 3.0);
// collect 100 samples
Sample zSample = new Sample();
for (int i = 0; i < 100; i++) {
// each z-statistic is formed by making a 4-count sample from a normal distribution
Sample sample = new Sample();
for (int j = 0; j < 4; j++) {
sample.Add(population.GetRandomValue(rng));
}
// for each sample, do a z-test against the population
TestResult zResult = sample.ZTest(population.Mean, population.StandardDeviation);
zSample.Add(zResult.Statistic);
}
// the z's should be distrubuted normally
TestResult result = zSample.KolmogorovSmirnovTest(new NormalDistribution());
Console.WriteLine("{0} {1}", result.Statistic, result.LeftProbability);
Assert.IsTrue((result.LeftProbability > 0.05) && (result.LeftProbability < 0.95));
}
