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STATISTICSCHM130
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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<