Šidák correction for t-test uses Šidák correction
H
      
        n
        u
        l
        l
      
    
    H_{null}
  : all of 
  
    
      H
      
        i
      
    
    H_{i}
   are true;
  
    
      H
      
        a
        l
        t
        e
        r
        n
        a
        t
        i
        v
        e
      
    
    H_{alternative}
  : at least one of 
  
    
      H
      
        i
      
    
    H_{i}
   is false.Let 
  
    α
    \alpha
   be the level of this test (the type-I error), that is, the probability that we falsely reject 
  
    
      H
      
        n
        u
        l
        l
      
    
    H_{null}
   when it is true. 
We aim to design a test with certain level 
  
    α
    \alpha
  . 
Suppose when testing each hypothesis 
  
    
      H
      
        i
      
    
    H_{i}
  , the test statistic we use is 
  
    
      t
      
        i
      
    
    t_{i}
  . 
If these 
  
    
      t
      
        i
      
    
    t_{i}
  's are independent, then a test for 
  
    
      H
      
        n
        u
        l
        l
      
    
    H_{null}
   can be developed by the following procedure, known as Šidák correction.