Example: Ranks

using System;
using Imsl.Stat;
using Imsl.Math;

public class RanksEx1
{
    public static void  Main(String[] args)
    {
        double[] x = new double[]{0.77, 1.74, 0.81, 1.20, 1.95, 1.20,
                                     0.47, 1.43, 3.37, 2.20, 3.00, 
                                     3.09, 1.51, 2.10, 0.52, 1.62, 
                                     1.31, 0.32, 0.59, 0.81, 2.81, 
                                     1.87, 1.18, 1.35, 4.75, 2.48, 
                                     0.96, 1.89, 0.90, 2.05};
        
        PrintMatrixFormat mf = new PrintMatrixFormat();
        mf.SetNoRowLabels();
        mf.SetNoColumnLabels();
        
        Ranks ranks = new Ranks();
        double[] score = ranks.GetRanks(x);
        new PrintMatrix("The Ranks of the Observations - " + 
                        "Ties Averaged").Print(mf, score);
        Console.Out.WriteLine();
        
        ranks = new Ranks();
        ranks.TieBreaker = Imsl.Stat.Ranks.Tie.Highest;
        score = ranks.GetBlomScores(x);
        new PrintMatrix("The Blom Scores of the Observations - " +
            "Highest Score used in Ties").Print(mf, score);
        Console.Out.WriteLine();
        
        ranks = new Ranks();
        ranks.TieBreaker = Imsl.Stat.Ranks.Tie.Lowest;
        score = ranks.GetTukeyScores(x);
        new PrintMatrix("The Tukey Scores of the Observations - " + 
                        "Lowest Score used in Ties").Print(mf, score);
        Console.Out.WriteLine();
        
        ranks = new Ranks();
        ranks.TieBreaker = Imsl.Stat.Ranks.Tie.Random;
        Imsl.Stat.Random random = new Imsl.Stat.Random(123457);
        random.Multiplier = 16807;
        ranks.Random = random;
        score = ranks.GetVanDerWaerdenScores(x);
        new PrintMatrix("The Van Der Waerden Scores of the " + 
            "Observations - Ties untied by Random").Print(mf, score);
    }
}

Output

The Ranks of the Observations - Ties Averaged
        
 5    
18    
 6.5  
11.5  
21    
11.5  
 2    
15    
29    
24    
27    
28    
16    
23    
 3    
17    
13    
 1    
 4    
 6.5  
26    
19    
10    
14    
30    
25    
 9    
20    
 8    
22    


The Blom Scores of the Observations - Highest Score used in Ties
                       
-1.02410618374162    
 0.208663745751154   
-0.775546958322378   
-0.294213138930921   
 0.472789120992267   
-0.294213138930921   
-1.60981606718445    
-0.0414437330939966  
 1.60981606718445    
 0.775546958322378   
 1.17581347255003    
 1.36087334286719    
 0.0414437330939965  
 0.668002132269574   
-1.36087334286719    
 0.124617407947998   
-0.208663745751155   
-2.04028132201041    
-1.17581347255003    
-0.775546958322378   
 1.02410618374162    
 0.294213138930921   
-0.472789120992267   
-0.124617407947998   
 2.04028132201041    
 0.892918486444395   
-0.56768639112746    
 0.381975767696542   
-0.668002132269574   
 0.56768639112746    


The Tukey Scores of the Observations - Lowest Score used in Ties
                       
-1.0200762327862     
 0.208082136154993   
-0.88970115508476    
-0.380874057516038   
 0.471389465588488   
-0.380874057516038   
-1.59868725959458    
-0.0413298117447387  
 1.59868725959458    
 0.772935693128221   
 1.17060337087942    
 1.35372485367826    
 0.0413298117447388  
 0.665869518001049   
-1.35372485367826    
 0.124273282084069   
-0.208082136154993   
-2.01450973381435    
-1.17060337087942    
-0.88970115508476    
 1.0200762327862     
 0.293381232121193   
-0.471389465588488   
-0.124273282084069   
 2.01450973381435    
 0.889701155084761   
-0.565948821932863   
 0.380874057516038   
-0.665869518001048   
 0.565948821932863   


The Van Der Waerden Scores of the Observations - Ties untied by Random
                       
-0.989168627340635   
 0.203544231532486   
-0.864894358685283   
-0.372289360465191   
 0.460494539103116   
-0.286893916923039   
-1.51792915959428    
-0.0404405085656462  
 1.51792915959428    
 0.75272879425817    
 1.13097760824516    
 1.30015343336342    
 0.0404405085656462  
 0.649323913186466   
-1.30015343336342    
 0.121587382750483   
-0.203544231532486   
-1.84859628850141    
-1.13097760824516    
-0.75272879425817    
 0.989168627340635   
 0.286893916923039   
-0.460494539103116   
-0.121587382750483   
 1.84859628850141    
 0.864894358685283   
-0.552442584646774   
 0.372289360465191   
-0.649323913186466   
 0.552442584646775