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STATISTICS CHM130

Statistics - analytical chemistry

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Page 1: Statistics - analytical chemistry

8/18/2019 Statistics - analytical chemistry

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STATISTICSCHM130

Page 2: Statistics - analytical chemistry

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SUPERVISORS DUTY IN

QA LAB INCLUDES

1. Validation o a n!" anal#$t.

%. Validation o a n!" &!t'od.

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PAIRED T TEST

• $d i$ $tanda(d d!)iation o *di+!(!n,!-

• d a( i$ &!an o *di+!(!n,!-

• do i$ t'! ia$ o( $#$t!&ati, !((o(/ &o$t o t'! ti&!t'i$ i$ !(o.

• n i$ n&!( o $a&2l!$ o( *di+!(!n,!-.

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 T DISTRIBUTION

t table value is a function ofdegrees of freedom (n-1) and

condence level (i.e. 90%, 95%or 99%)

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REECTION AND ACCEPTANCE

O4 HYPOTHESIS

• Ho i$ Nll H#2ot'!$i$/ 5!n!(all# Ho: a ! b " 0.

• Ha i$ alt!(nati)! '#2ot'!$i$/ Ha: a-b # 0.

• 5!n!(all# I t,al, i$ *l!$$ t'an- t tal! Ho i$

a,,!2t!d.

• Ot'!("i$! a,,!2t Ha.

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ACCEPTANCE O4 HO

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$cce&tance of null'&ot'esis means t'edierence in analsts

results is insignicant or

it can be e&lain bc'ance*

+n e analstvalidation

$ /'us t'e ne analst is

validated and can start&erforming t'e test for

ocial results*

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$cce&tance of null'&ot'esis means t'e

dierence beteen t'eold and ne met'od

results is insignicant orit can be e&lain b

c'ance*

+n e met'odvalidation

$ /'us t'e ne met'od is

validated and can re&lacet'e old met'od*

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SAMPLE PROBLEM• Not!6 A,tal )alidation data $'old ,ontain at l!a$t %7$a&2l!$.

• Con$id!( t'! a$,o(i, a,id (!$lt o a )alidat!d anal#$t anda n!" anal#$t 2!(o(&in8 t'! $a&! 2(o,!d(! on inanto(&la $a&2l!$. S'o" t'at t'! n!" anal#$t ,an o9,iall#2!(o(& t'! a$,o(i, a,id t!$t. U$! :;< ,on=d!n,! l!)!l.

alidated nalst(mg2100g)

e nalst(mg2100g)

:% :0

:3 >0

:? >3

:; 10@

:@ >7

:7 >0

:1 100

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SEAT OR %• Not!6 A,tal )alidation data $'old ,ontain at l!a$t 30$a&2l!$.

• Con$id!( t'! data o( )alidation o n!" <2(ot!in&!t'od a$! on D&a$ M!t'od a8ain$t t'! ,((!nt

&!t'od a$!d on !'lda'l. S'o" t'at t'! n!" &!t'odi$ )alidat!d. U$! :;< ,on=d!n,! l!)!l.

34e'lda'l rotein (%) 6umas rotein (%)

1?.10 < 13.%0 <

%1.30 < %3.?0 <1;.30 < 13.;0 <

%%.00 < %%.10 <

13.;0 < 1?.70 <

%%.10 < %?.30 <

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OUTLIERS DIONFS Q

 TESTG

7f 8calc  8table t'e sus&ect

value is an outlier.

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SAMPLE PROBLEM• A22l# DionF$ T!$t at :0< ,on=d!n,! l!)!lG to

d!t!,t "'!t'!( t'!(! a(! an# otli!($ in t'! ollo"in8$!(i!$ o &!a$(!&!nt$ o t'! &a$$!$ o $,,!$$i)!&!(,(# d(o2$ in &86

• 7.0 7.? @.3 7.0 >.:

• @.> ;.@ 7.3 7.1 @.?

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SEAT OR 3• A22l# DionF$ T!$t at :0< ,on=d!n,! l!)!lG to

d!t!,t "'!t'!( t'!(! a(! an# otli!($ in t'! (!2li,at!&!a$(!&!nt$ o < A$' o an inant o(&la $a&2l!6

• ;.3< ;.?< ;.;< 10.3< ;.3<

• ;.?< ;.%< ;.;< ;.3< ;.1<