Barely Significant

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highly significantp < 0.00010.0× alphaqualifiedgold
The agreement for the category “motives of crime” was highly significant (Cohen’s K was 0.92, p < 0.0001; 95% CI = − 0.036–0.101), as it was for the category “contentiousness” (Cohen’s K was 0.90, p < 0.0001; 95% CI = − 0.084–0.123) and for the category “overkilling” (Cohen’s K was 0.81, p < 0.0001; 95% CI = − 0.075–0.180) suggesting, according to Viera and Garrett [ 71 ] and to McHugh [ 72 ], a substantial interrater agreement coefficient for all of these variables.
highly significantP < 0.00010.0× alphaqualifiedgold
1 X 2 2 − 4.27 X 3 2 − 4.82 X 4 2 − 6.24 X 1 X 2 + 0.8271 X 1 X 3 − 1.51 X 1 X 4 − 2.48 X 2 X 3 − 1.58 X 2 X 4 + 0.0910 X 3 X 4 + 2.15 X 1 + 6.65 X 2 − 2.00 X 3 + 0.7997 X 4 + 80.28 The regression analysis of variance (ANOVA) results (Supplementary Table 2 ) demonstrate that the regression model is highly significant ( P < 0.0001), confirming its reliability.
highly significantp<0.00010.0× alphaqualifiedgold
As a cross-check, calculated (via DIC and TA) and directly measured pH values were compared and showed a highly significant correlation and no outliers (pH (total scale) = 0.9176 pH (NBS) +0.5453; r 2 = 0.99; p<0.0001).