Patent ID: 11893472
Assignee: NORTHWESTERN UNIVERSITY
Field: Measurement (Instruments)
Classification: CPC G  C | IPC G

Claim 4:
5. The compensation method according to claim 1, wherein:
the compensation method further comprises evaluating the accuracy compensation model of the caustic alkali concentration measuring device by using a root mean square error, a mean absolute error, and a mean absolute percentage error,
wherein a formula for calculating the root mean square error is:, RMSE
      =
      
       
        
         
          ∑
          
            
           
            i
            =
            1
           
          
          
            
           N
          
         
          
         
          
           (
           
            
             y
             i
            
            -
            
             
              y
              ^
             
             i
            
           
           )
          
          2
         
        
        N
       
      
     
     ,
    
   
   
    
     (
     4
     )
    
   
  
 

wherein a formula for calculating the mean absolute error is:, MAE
      =
      
       
        
         ∑
         
           
          
           i
           =
           1
          
         
         
           
          N
         
        
         
        
         
          ❘
          "\[LeftBracketingBar]"
         
         
          
           y
           i
          
          -
          
           
            y
            ^
           
           i
          
         
         
          ❘
          "\[RightBracketingBar]"
         
        
       
       N
      
     
     ,
    
   
   
    
     (
     5
     )
    
   
  
 

wherein a formula for calculating the mean absolute percentage error is:, MAPE
      =
      
       
        100
        N
       
       ⁢
       
        
         ∑
         
           
          
           i
           =
           1
          
         
         
           
          N
         
        
         
        
         
          ❘
          "\[LeftBracketingBar]"
         
         
          
           
            y
            i
           
           -
           
            
             y
             ^
            
            i
           
          
          
           y
           i
          
         
         
          ❘
          "\[RightBracketingBar]"
         
        
       
      
     
     ,
    
   
   
    
     (
     6
     )
    
   
  
 

wherein yt is laboratory values of the ith group of samples and ŷi is compensated caustic alkali concentration values of the ith group of samples.