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Table 2 Results of the Shapiro–Wilk for the raw and log- transformed data of the 1994, 2008, and 2017

From: Validating the regional estimates of changes in soil organic carbon by using the data from paired-sites: the case study of Mediterranean arable lands

Shapiro–Wilk

Stat

Sign

Raw—LEG-SOC94a

0.903

 < 0.001

Raw—EST-SOC08a

0.798

 < 0.001

log-LEG-SOC94a

0.980

 < 0.001

log-EST-SOC08a

0.883

 < 0.001

Differences of raw data (EST-SOC08-LEG-SOC94)a

0.961

 < 0.001

Differences of log data (EST-SOC08-LEG-SOC94)a

0.960

 < 0.001

Raw—SOC94b

0.833

 < 0.001

Raw—SOC17b

0.809

 < 0.001

log—SOC94b

0.951

0.183

log—SOC17b

0.965

0.404

Differences of raw data (SOC17-SOC94)b

0.886

0.004

Differences of log data (SOC17-SOC94)b

0.824

 < 0.001

  1. According to the Shapiro-Wilk test, chosen the alpha level 0.05 and the p-value is less than 0.05, the null hypothesis that the data are normally distributed is rejected. If the p-value is greater than 0.05, then the null hypothesis is not rejected. Values in bold indicated normality
  2. Please see Table 1 for a description of each dataset
  3. adegrees of freedom = 302
  4. bdegrees of freedom = 30