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  Operator Bias 
  Uncertainty Worksheet Features  
  
      This drill-down worksheet provides a useful tool for evaluating 
  measurement uncertainty due to operator bias or 
      the error due to the perception or influence of a 
  human operator.  While variations in human behavior and response lend 
  this error source a somewhat random character, there may be tendencies and 
  predilections inherent in a given operator that may persist from measurement 
  to measurement.
  
   
   
  The uncertainty due to operator bias is usually determined heuristically, linking it to parameter resolution or some other aspect of a measurement that can influence operator perception or behavior.
  With UncertaintyAnalyzer, it is estimated using the  Operator Bias Uncertainty
  Worksheet, which is accessed by clicking the Operator Bias button on the Main Screen Error Source table. 
  The Worksheet contains separate tabs for estimating operator bias uncertainty for subject parameter readings and/or measuring parameter readings.
  
   
    
   
  Subject (or Measuring) Parameter Specifications 
  This section of the Worksheet displays the subject (or measuring) parameter name, nominal or reading value, display resolution and display type.  
    
  Subject (or Measuring) Parameter Operator Bias Uncertainty 
  This section of the Worksheet is used to estimate the subject (or measuring) parameter operator bias uncertainty from
   error limits and a  containment probability (confidence level). 
  The error limits can be a combination of fixed ± limits, that can be estimated from experience, and ± limits based on percent or fraction (ppm) of the resolution of the parameter display or reading. 
  The probability that the operator bias is contained within the error limits is entered in the
   Conf. Level box.  Alternatively, a coverage factor may be entered in the
   Cov. Factor box. 
    
  UncertaintyAnalyzer assumes that uncertainty due to operator bias is normally distributed unless the associated degrees of freedom are less than infinite or the % Confidence is 100%.  
  If  the degrees of freedom are less than infinite and the % Confidence is less than 100%, the Student's t distribution is used to compute a standard uncertainty. 
  If the % Confidence is 100%, then the Uniform distribution is used and the degrees of freedom are assumed to be infinite. 
   
    
  In most cases, it would not be realistic to assume infinite knowledge about the operator bias uncertainty.  The
   Type B Degrees of Freedom Calculator, which is accessed by clicking the button next to the  Degrees of Freedom box, can be used to provide additional information about the uncertainty in the error limits and associated confidence level.  In essence, it provides a means for incorporating a more realistic assessment of the "fuzziness" or lack of knowledge in our estimate.  
   
  Operator Bias Uncertainty 
  The bottom section of the Worksheet displays the operator bias uncertainties for the subject parameter and the measuring parameter.  
  The appropriate  Include box is checked to include subject parameter operator bias uncertainty or measuring parameter operator bias uncertainty in the
   total operator bias uncertainty.  
   
    
   
  The correlation coefficient between these two sources of operator bias is also displayed (if applicable).  If the operator biases for the subject parameter and measuring parameter are not correlated, then the
   Total Operator Bias Uncertainty is computed as the a root-sum-square (RSS) of the individual operator bias uncertainties.  Otherwise, the value of the Total Operator Bias Uncertainty will reflect any correlation between the subject parameter and measuring parameter operator biases specified by you. 
   
    
  The  Degrees of Freedom for the Total Operator Bias Uncertainty is computed using the Welch-Satterthwaite formula. 
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