Example 2: Sign Test

This example tests the null hypothesis that at least 75 percent of a population is negative. Because , the null hypothesis at the 5-percent level of significance is rejected.

using System;
using Imsl.Stat;

public class SignTestEx2
{
    public static void  Main(String[] args)
    {
        double[] x = new double[]{   92.0, 139.0, - 6.0,
                                     10.0, 81.0, - 11.0, 
                                     45.0, - 25.0, - 4.0, 
                                     22.0, 2.0, 41.0, 
                                     13.0, 8.0, 33.0,
                                     45.0, - 33.0, - 45.0,
                                     - 12.0};
        SignTest st = new SignTest(x);
        
        st.Percentage = 0.75;
        st.Percentile = 0.0;
        Console.Out.WriteLine
            ("Probability = " + st.Compute().ToString("0.000000"));
        Console.Out.WriteLine
            ("Number of positive deviations = " + st.NumPositiveDev);
        Console.Out.WriteLine("Number of ties = " + st.NumZeroDev);
    }
}

Output

Probability = 0.922543
Number of positive deviations = 12
Number of ties = 0