Statistics Meeting Book (May 15, 2019)

The among-laboratory standard deviation is

¦

½ ° ¾ ° ¿

2

POD LPOD s

2

° ° ¯ ° ° ¯

max ®

2

i L

s

0,

r

L

1

n

½ ° ¾ ° ¿

ª ¬

º ¼

2

2

0.5833 0.6333

0.75 0.6333

0.2242

max ®

0,

10 1

12

^

`

max 0,0.02963 0.0187 0.01093

and s L = 0.01093 0.1045 , which is noticeably less than s r , as expected. The reproducibility standard deviation is

s 2 R = s 2 r + s 2 L

= 0.01093 + 0.2242 = 0.2351

So

s

0.2351 0.4849 s |

R

r

The results are summarized in Table F2.

Table F2

Parameter

Value

LPOD

0.6333

s r

0.4735

s L

0.1046

s R

0.4850

p -Value for T -test

0.1703