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Table 1:
Summary of the results of two-sided Mann--Whitney U tests on the data from Figure 3. For each function the table shows pairwise comparisons between the () EA and the greedy GA with uniform, 1-point, and 2-point crossover, respectively. Here p is the p value output by the statistics package R (version 2.8.1), and c is the constant in the mutation rate . Each cell describes a rule for p subject to a minimum value of c and gives the number of exceptions (ex.) from this rule where applicable.
() EAUniform1-point
OneMax uniform    
 1-point   for   
 2-point   for   (11 ex.) 
Royal road uniform  for    
 1-point  for   for (1 ex.)  
 2-point  for   for (5 ex.)  (6 ex.) 
Random uniform  (1 ex.)   
polynomial 1-point  for (3 ex.)  (13 ex.)  
 2-point  for (1 ex.)  (6 ex.)  (6 ex.) 
() EAUniform1-point
OneMax uniform    
 1-point   for   
 2-point   for   (11 ex.) 
Royal road uniform  for    
 1-point  for   for (1 ex.)  
 2-point  for   for (5 ex.)  (6 ex.) 
Random uniform  (1 ex.)   
polynomial 1-point  for (3 ex.)  (13 ex.)  
 2-point  for (1 ex.)  (6 ex.)  (6 ex.) 
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