Appendix 2. Statistical parameters for the data in appendix 1.

Concentrations of 51 elements in 8 Argonne Premium Coals were determined by multiple analytical techniques (appendix 1). Statistical parameters for non-outlier concentrations determined by high-precision (HP) techniques and for concentrations (including outliers) determined by all techniques (HP and less precise techniques) are listed in this appendix in separate columns for each element; only one column is needed for elements for which all values were determined by HP techniques and no concentrations were out-liers (Li, Cs, Tb, Hf, Ta, U). Concentrations of major elements (Si, Al, Fe, Mg, Ca, Na, K, Ti, P, Mn) are in weight percent (wt. %); concentrations of trace elements are in parts per million (ppm).

The mean values in HP columns are recommended values if there is no box for that sample in that column. They are concentrations determined from the arithmetic mean of the HP values, except values that were excluded in tables 5 and 6 of the paper (this volume) by Palmer and Klizas. The mean concentration is a recommended value if all the following conditions are met:

(1) the number of determinations (n) is greater than 3,

(2) the relative standard deviation (Rel Std Dev) is less than 5 percent for major elements present in concentrations greater than 0.1 percent or is less than 10 percent for trace elements or for major elements present in concentrations less than 0.1 percent (see paper by Palmer and Klizas), and

(3) the deviation of the arithmetic mean and the geometric mean (Dev of Means) is less than 1 percent.

If any of these conditions is not met (as indicated by a yellow background in the cell with the value), the mean is reported as an average value in tables 5 and 6 of the paper by Palmer and Klizas.

The standard deviation represents the error in the recommended values and was used to determine significant figures. The kurtosis and skewness are also included. ERR indicates that there were insufficient data to calculate the statistical parameter.

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