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  | This web page was last updated at 11/16/99 04:11 PM 
 
        
          Suppose there are 6 different treatments with the
          following sample means:
          
           
            
              
                |  
                  
                   | A
                  
                   | B
                  
                   | C
                  
                   | D
                  
                   | E
                  
                   | F
                  
                   |  
                | Mean | 21 | 12 | 15 | 17 | 19 | 10 |  The Bonferroni multiple comparison procedure
          conducted 15 hypothesis tests with the following results (D=Don’t
          Reject Ho and R=Reject Ho):
          
           
            
              
                |  
                  
                   | A
                  
                   | B
                  
                   | C
                  
                   | D
                  
                   | E
                  
                   | F
                  
                   |  
                | A
                  
                   |  | R |  | R | D | R |  
                | B
                  
                   |  
                  
                   |  
                  
                   | D | D | D | D |  
                | C
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   | D | D | R |  
                | D
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   | D | R |  
                | E
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   | R |  
                | F
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  
                  
                   |  Order the treatments by their means (from smallest to largest) and
          draw bars over treatments that are not significantly different.
            
          Why is a/g
          used instead of just a
          when doing individual hypothesis tests in the Bonferroni multiple
          comparison procedure?  
            
        
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