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Table 2

Nominal

T

stat

p

-value

19.5

0.3

19.8

0.0

19.3

0.5

19.3

0.5

19.6

0.2

20.1

-0.3

20.1

-0.3

20.1

-0.4

19.4

0.4

Mean

19.7

0.1

SD

0.3

0.3

T

stat

=

where: = mean of the differences between measured results and reference value

sd = standard deviation of the differences between results and reference value

n

= number of replicate analyses of SRM

H

0

: = 0, The null hypothesis is that there is no difference between the measured results and the certified value:

p

-value: is the probability (at the 95% levels of confidence) of obtaining the test statistic assuming that the null hypothesis is true.

p

-value < 0.05 indicate a difference of statistical signifance between measured results and SRM.

95% confidence interval: The true population of the measured value expected to fall within the confidence interval estimate 95% of the time.

lower limit = mean -

upper limit = mean +

where: = critical values of the t-distribution

sd = standard deviation of the differences between results an reference value

n

= number of replicate analyses of SRM

Analyte

Average concentration

mg/kg

Certified value

mg/kg

Bias (%)

Uncertainty

mg/kg

R% Low High

Ca

5148

5253

98.0

51

6

4938

5568

Cu

19.69

19.78

99.6

0.26

10

17.80 21.76

Fe

167.0

175.6

95.1

2.9

10

158.0 193.2

K

9502

9220

103.1

110

6

8667

9773

Mg

1566

1648

95.0

36

9

1500

1796

Mn

48.74

49.59

98.3

0.97

10

44.63 54.55

Na

4244

4265

99.5

83

6

4009

4521

P

4086

3990

102.4

140

6

3751

4229

Zn

146.8

151.0

97.2

5.6

10

135.9 166.1

Bias

Accuracy - Analytical bias compared to reference material

Certified Reference Material

Measured Results

CRM product

Analyte

Certified value

0.26

19.52 - 20.04

0.747

SRM1849a

Cu

19.78

0.476

19.4

-0.1

Uncertainty Certified range Concentration

Difference from

certified value

Confidence interval

- 20.0

n

/

sd

d

d

d

n

t

crit

sd

n

t

crit

sd

crit

t

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