Statistical Methods For Mineral Engineers [TOP]

Understanding the distribution of grades within a deposit.

To limit the Fundamental Sampling Error to a target variance ( sFSE2s sub cap F cap S cap E end-sub squared

Minimize risks during scale-up from bench-scale tests to full production. 2. Sampling Theory and Error Mitigation

based on the number of predictors in the model, preventing over-fitting. Statistical Methods For Mineral Engineers

Ms=c⋅⋅f⋅g⋅d3sFSE2cap M sub s equals the fraction with numerator c center dot center dot f center dot g center dot d cubed and denominator s sub cap F cap S cap E end-sub squared end-fraction = Mineralogical composition factor = Liberation factor = Particle shape factor = Size distribution factor = Top size of the particles (nominal maximum size) 3. Hypothesis Testing and Process Comparisons

above the third quartile or below the first quartile are treated as outliers. This method is more robust than the Z-score for heavily skewed distributions. Distribution Analysis

Occurs when the sampling device does not give all parts of the stream an equal chance of being selected (e.g., a cutter that does not cross the entire stream). Understanding the distribution of grades within a deposit

Adds axial (star) points and center points to a factorial design, enabling the modeling of quadratic curvature.

The minimum unavoidable error resulting from the constitutional heterogeneity of the material (e.g., the fact that valuable minerals are discrete grains locked inside waste rock). FSE can only be reduced by crushing the sample to a smaller particle size before splitting.

Frequently represents particle size distributions resulting from crushing and grinding circuits, where fine particles heavily outnumber coarse ones. Sampling Theory and Error Mitigation based on the

Some potential topics covered in this paper might include:

Descriptive statistics summarize the central tendency and variability of process data. Engineers use these metrics to establish baseline performance indicators for crushing, grinding, and separation circuits.