Statistical Methods For Mineral Engineers -

In a complex circuit with redundant and conflicting data points, engineers apply the Weighted Least Squares method. The objective is to minimize the sum of squared adjustments between the measured values ( ) and the statistically adjusted values ( x̂ix hat sub i ), weighted by the variance ( σi2sigma sub i squared ) of the measurement device:

Control charts plot process data over time relative to calculated statistical limits, differentiating between common-cause variation (normal system noise) and special-cause variation (identifiable operational faults). Statistical Methods For Mineral Engineers

Plotting residuals against predicted values checks for non-linearity, heteroscedasticity (unequal variance), and time-dependent patterns. 5. Design of Experiments (DoE) in Process Optimization In a complex circuit with redundant and conflicting