Fig. 3

Correlation analysis. The canonical variate, V⁽¹⁾, versus the canonical variate, W⁽¹⁾ = (H' − 〈H′〉)/σ, for each alloy (blue circle) and the corresponding regression line (solid blue). The Vicker’s hardness is H and σ denotes the standard deviation in normalized hardness. The dotted lines delimit a shaded 90% (single observation) prediction band. Also shown are the measured (normalized) micro-hardnesses for 7 fabricated alloys (5 orange squares, with the 2 alloys having hardnesses in excess of 1000 hardness values (HV) in yellow.) The error bars were estimated from approximately 20 separate hardness measurements per sample. The standard error of the estimate, as obtained using the data for the synthesized alloys, is approximately 259.2 HV