Meaning
Extensive statistical checks evaluate the collective accuracy of all sensors in a measurement network simultaneously. The global test determines if the total set of reconciled data is consistent with the assumed physical model. It functions as the first gate in an automated data validation routine.
Consistency Verification
Calculated residuals from a mass balance are compared against a theoretical distribution to detect systematic issues. When a global test fails, the system indicates that one or more measurements likely contain a substantial error. The result forces a deeper investigation into the sensor array to find the source of the problem.
Statistical Threshold
Significance levels, often set at five percent, define the boundary for accepting or rejecting the plant state. The global test relies on the chi square distribution to assess the probability of the observed deviations. If the test statistic is too high, the reconciliation is flagged as unreliable.
Managers use these results to decide if the production report can be released to the accounting department. Software tools calculate the objective function and compare it to critical values from statistical tables.
Error Localization
Successful validation confirms that the data set is ready for use in advanced process control or economic optimization. A passing global test provides confidence that the plant model reflects reality.