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Claudia Iorio1a, Emmanuel Bigand1, James R. Schmidt1
1 Department of Psychology, LEAD-CNRS UMR5022, Université Bourgogne Franche-Comté, Dijon, France
Keywords: pitch identi=cation, contingency learning, music learning, instruction, pitch
https://doi.org/10.1525/collabra.118806
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Correspondence: claudia.iorio@cnrs.fr a
Iorio, C., Bigand, E., & Schmidt, J. R. (2024). Incidentally Acquiring Pitch-label
Associations With a Musical Contingency Learning Task. Collabra: Psychology,10(1).
https://doi.org/10.1525/collabra.118806
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Note
Name
Tone
fa sol la si do ré mi
fa 18 1 1 1 1 1 1
sol 1 18 1 1 1 1 1
la 1 1 18 1 1 1 1
si 1 1 1 18 1 1 1
do 1 1 1 1 18 1 1
ré 1 1 1 1 1 18 1
mi 1 1 1 1 1 1 18
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DG >CHI6C8: I=: IDC: _;6` >H EG:H:CI:9 BJ8= BDG: D;I:C L>I= I=: CDI: C6B: _;6` =><= 8DCI>C<:C8N IG>6AH I=6C L>I= I=: DI=:G CDI: C6B:H ADL 8DCI>C<:C8N IG>6AH
2//#+1 ,/( &# 20'! ,+1'+%#+!6 #/+'+%
/,!#"2/#
-=: <D6A D; I=: EG:H:CI LDG@ >H ID :MEADG: I=: A:6GC
67>A>IN D; E>I8=A67:A 6HHD8>6I>DCH >C 6C >C8>9:CI6A A:6GC>C<
I6H@ 0: CDI: >C 69K6C8: I=6I L: I6@: 6 H>BEA>b:9 6EEGD68=
ID HIJ9N>C< :6GAN A:6GC>C< DG >CHI6C8: 6GI>b8>6A <G6BB6G
A:6GC>C< HIJ9>:H 9D CDI =6K: E6GI>8>E6CIH A:6GC I=: :CI>G:
<G6BB6G D; 6C :CI>G: A6C<J6<: 7JI G6I=:G G:H:6G8=:GH 8G:
6I: 6 A>B>I:9 H:I D; <G6BB6G GJA:H L>I= 6 HB6AA CJB7:G
D; A:II:GH ID 6HH:HH I=: 9:<G:: ID L=>8= <G6BB6G GJA:H 6G:
A:6GC67A: >C8>9:CI6AAN ;DG >CHI6C8: H:: ,6;;G6C :I 6A
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) :< /6C !:9<:G :I 6A 0DC< %J> :I 6A
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ID G:HEDC9 ID 6 G:A:K6CI HI>BJAJH L=>A: ><CDG>C< 6C >GG:A:
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HI>BJA> >H >C8DC<GJ:CI "C DC: :ME:G>B:CI @>K6$67>G>
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IDC: -=:N ;DJC9 6 8DC<GJ:C8N :;;:8I ;DG ) EDHH:HHDGH
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I=: IDC: _9D` 6H >AAJHIG6I:9 >C -67A:
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CDI: C6B:
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Apparatus,
Design,
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6AH 6H >AAJHIG6I:9 >C -67A: -=: 8DC<GJ:C8N DG 8DCI>C
<:C8N A:6GC>C< :;;:8I L6H B:6HJG:9 6H I=: 9>;;:G:C8: >C
G:HEDCH: I>B:H DG :GGDG G6I:H 7:IL::C ADL 6C9 =><= 8DC
I>C<:C8N IG>6AH
DAADL>C< I=: B6>C A:6GC>C< E=6H: 8DCI>C<:C8N 6L6G:
C:HH L6H 8DAA:8I:9 ID 6HH:HH L=:I=:G E6GI>8>E6CIH CDI>8:9
I=: G:<JA6G>I>:H 9JG>C< I=: A:6GC>C< E=6H: "C E6GI>8JA6G
E6GI>8>E6CIH L:G: 6HH:HH:9 ;DG =?,4/->3@/
+A+</8/==
=::HB6C &:G>@A: DG I=>H I=:N G:HEDC9:9 ID
)# ,+1'+%#+!6 *+'-2)1',+
Note Name Tones
fa sol la si do ré mi
fa 54 1 1 1 1 1 1
sol 1 54 1 1 1 1 1
la 1 1 54 1 1 1 1
si 1 1 1 54 1 1 1
do 1 1 1 1 54 1 1
ré 1 1 1 1 1 54 1
mi 1 1 1 1 1 1 54
'DI: "C I=: I67A: >H G:EG:H:CI:9 I=: 8DCI>C<:C8N EGDEDGI>DC 7:IL::C =><=8DCI>C<:C8N IG>6AH EG:H:CI:9 DG I>B:H 6C9 ADL8DCI>C<:C8N IG>6AH EG:H:CI:9 DG I>B: :68=
DG >CHI6C8: I=: IDC: _;6` >H EG:H:CI:9 BJ8= BDG: D;I:C L>I= I=: CDI: C6B: _;6` =><=8DCI>C<:C8N IG>6AH I=6C L>I= I=: DI=:G CDI: C6B:H ADL8DCI>C<:C8N IG>6AH
6C DCH8G::C >CHIGJ8I>DC L=:G: >I L6H 6H@:9 >; I=:N CDI>8:9
I=6I HDB: E6>G>C<H =><=8DCI>C<:C8N IG>6AH L:G: EG:
H:CI:9 BDG: D;I:C I=6C DI=:GH ADL8DCI>C<:C8N IG>6AH
)6GI>8>E6CIH 8DJA9 G:HEDC9 _N:H` DG _CD` L>I= 6 @:N
EG:HH -=>H H8G::C G:69 IG6CHA6I:9 ;GDB G:C8=
F?<381
>2/
>23<.
:+<>
90
>23=
/B:/<37/8>
89>/
8+7/=
A/</
:</=/8>/.
A3>2
+
>98/
9<
A3>2
+
>98/
+8.
+
89>/
:9=3>398
09<
>2/
7?6>3:6/-?/=
1<9?:
+-2
>98/
A+=
:</
=/8>/.
79</
0</;?/8>6C
A3>2
98/
89>/
8+7/
>2+8
>2/
9>2
/<=
(2+>
3=
>9
=+C
98/
>98/
A+=
0</;?/8>6C
:</=/8>/.
A3>2
F.9G
+89>2/<
0</;?/8>6C
A3>2
F</G
/>-
3.
C9?
89>3-/
>2/=/
</1?6+<3>3/=G
>G:8IAN 6;I:G I=: EDHII:HI E=6H: HI6GI:9 6C9 >I L6H :M
68IAN I=: H6B: 6H I=: EG:I:HI E=6H: -=>H 6AADL:9 JH ID 8DB
E6G: E6GI>8>E6CIH^ E:G;DGB6C8: 7:;DG: 6C9 6;I:G I=: A:6GC
>C< EGD8:HH -=: >CHIGJ8I>DCH ;DG I=:H: E=6H:H L:G:
IG6CHA6I:9 ;GDB G:C8=
_'DL I=: I6H@ >H H>B>A6G :M8:EI I=6I NDJ L>AA DCAN =:6G
6 IDC: -GN ID <J:HH I=: C6B: D; I=: IDC: 7N EG:HH>C<
I=: 6EEGDEG>6I: @:N DC I=: @:N7D6G9`
HA><=IAN 9>;;:G:CI >CHIGJ8I>DC L6H EG:H:CI:9 ID I=:
BJAI>EA:8J:H <GDJE IG6CHA6I:9 ;GDB G:C8=
F"9A
>2/
>+=5
3=
=3736+<
/B-/:>
>2+>
C9?
A366
986C
=//
+
89>/
+8.
2/+<
+
>98/
(<C
>9
1?/==
>2/
8+7/
90
>2/
89>/
+8.
>2/
>98/
,C
:</==381
>2/
+::<9:<3+>/
5/C
98
>2/
5/C
,9+<.G
Data
Analysis
0: 8DC9J8I:9 6C6ANH:H DC I=: A:6GC>C< 6C9 I=: I:HI
E=6H:H DG I=: A:6GC>C< E=6H:H L: 8DC9J8I:9 6 G:E:6I:9
B:6HJG:H '(/ DC 8DGG:8I +-H 6C9 :GGDG G6I:H ID 6HH:HH
I=: DK:G6AA B6>C :;;:8IH D; 8DCI>C<:C8N <GDJE 6C9 I=: >C
I:G68I>DC 7:IL::C I=:B -G>6AH >C L=>8= E6GI>8>E6CIH ;6>A:9
ID G:HEDC9 >C BH >: 7:;DG: I=: 9:69A>C: L:G: :A>B
>C6I:9 DC 6K:G6<: DC 6AA I=: E6GI>8>E6CIH D;
I=: IG>6AH L:G: :A>B>C6I:9 DG I=: I:HI E=6H:H L: 6C6ANO:9
688JG68N G6I:H ID 6HH:HH L=:I=:G E6GI>8>E6CIH G:HEDC9:9
67DK: 8=6C8: I=: 8=6C8: <J:HH>C< G6I: L6H DG 6E
EGDM>B6I:AN 6C9 G:HEDCH: I>B:H AA 6C6ANH:H L:G:
:K6AJ6I:9 6I I=: α A:K:A D; H><C>b86C8: 99>I>DC6AAN
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 7
'%2/# +1#/!1',+ #14##+ !,+1'+%#+!6 #$$#!1 +" /,2- '+ 5-#/'*#+1
'DI: "CI:G68I>DC 7:IL::C DCI>C<:C8N !><= 6C9 %DL 6C9 GDJE BJAI>EA:8J:H KH IDC:8J: HI6C96G9 :GGDG 76GH 6G: H=DLC >C I=: b<JG:
L: 8DCH>HI:CIAN G:EDGI:9 I=: 6N:H ;68IDG 8DBEJI:9 JH>C<
#,) HD;IL6G: #,) -:6B 0: JH:9 I=: HI6C96G9
CDC>C;DGB6I>K: 6J8=N EG>DG L>I= 6 9:;6JAI L>9I= D;
0: G:EDGI I=: 6N:H ;68IDG L>I= K6AJ:H 7:IL::C 6C9
HJEEDGI>C< BD9:G6I:AN HIGDC< :K>9:C8: ;DG I=: 6AI:GC6
I>K: =NEDI=:H>H ! DDGC :I 6A -=: 96I6 H:I >H
6K6>A67A: K>6 I=: ;DAADL>C< A>C@ =IIEHDH;>DM?9I
#02)10
Response
Times
+:HEDCH: I>B: G:HJAIH 6G: EG:H:CI:9 >C ><JG: G:
E:6I:9 B:6HJG:H '(/ ;DG +-H L>I= I=: ;68IDGH DCI>C
<:C8N =><= KH ADL 6C9 GDJE BJAI>EA:8J:H <GDJE KH
IDC:8J: <GDJE >C9>86I:9 6 H><C>b86CI B6>C :;;:8I D; DC
I>C<:C8N :
η
H=DL>C< ;6HI:G G:HEDCH:H ;DG =><=8DCI>C<:C8N IG>6AH !
BH ' I=6C ;DG ADL8DCI>C<:C8N IG>6AH !
BH ' -=: B6>C :;;:8I D; GDJE L6H CDI H><
C>b86CI :
η
-=: >CI:G68I>DC 7:IL::C DCI>C<:C8N 6C9 GDJE L6H H><
C>b86CI :
η
>C
9>86I>C< 6 <G:6I:G 9>;;:G:C8: 7:IL::C =><= 6C9 ADL 8DCI>C
<:C8N IG>6AH >C I=: BJAI>EA:8J:H <GDJE !2312*><3+6= BH
' !69A*><3+6= BH ' 8DBE6G:9 ID I=:
IDC:8J: <GDJE !2312*><3+6= BH ' !69A*><3+6=
BH ' -=: 8DCI>C<:C8N :;;:8I L6H H><C>b86CI
;DG 7DI= I=: BJAI>EA:8J:H <GDJE !ADL=><= '
> : . 6C9 I=: IDC:8J:
<GDJE !ADL=><= ' > : .
Error
Rates
-=: G:E:6I:9 B:6HJG:H '(/ ;DG :GGDGH L>I= I=: ;68
IDGH DCI>C<:C8N =><= KH ADL 6C9 GDJE BJAI>EA:8J:H
<GDJE KH IDC:8J: <GDJE G:K:6A:9 6 H><C>b86CI B6>C :;;:8I
D; DCI>C<:C8N :
η
6C9 6 CDCH><C>b86CI B6>C :;;:8I D; GDJE
:
η
-=: >CI:G68I>DC
7:IL::C DCI>C<:C8N 6C9 GDJE L6H 6AHD H><C>b86CI 6H
H=DLC >C ><JG: :
η
BJAI>EA:8J: <GDJE !2312 ' !69A
' IDC:8J: <GDJE !2312 '
!69A ' -=: 8DCI>C<:C8N :;
;:8I L6H H><C>b86CI >C I=: BJAI>EA:8J:H <GDJE !ADL=><=
' > : .
6C9 CDI H><C>b86CI >C I=: IDC:8J: <GDJE !ADL=><=
' > : .
Pre/Posttest
Phases
!:G: L: G:EDGI HJ7?:8I>K: 6L6G:C:HH ;DG I=: IDC: C6B>C<
I6H@ "C I=: BJAI>EA:8J:H <GDJE D; D; I=:
E6GI>8>E6CIH CDI>8:9 I=: 8DCI>C<:C8>:H 7:IL::C CDI: C6B:H
6C9 IDC:H "C I=: IDC:8J: <GDJE I=>H E:G8:CI6<: L6H
D; -=: HJ7?:8I>K: 6L6G:C:HH FJ:HI>DC 8DC
8:GC>C< CDI: EDH>I>DCH L6H DCAN EDH:9 ID I=: BJAI>EA:8J:H
<GDJE >: 6H I=: IDC:8J: <GDJE 9>9 CDI H:: CDI: EDH>
I>DCH "C I=: BJAI>EA:8J:H <GDJE D; E6G
I>8>E6CIH 7:86B: 6L6G: D; I=: 8DCI>C<:C8>:H 7:IL::C CDI:
C6B:H 6C9 CDI: EDH>I>DCH
-=: >I:HIH ;DG EG:I:HI 6C9 EDHII:HI 688JG68N 6H H=DLC
>C ><JG: H=DL:9 I=6I >C I=: CDI: EDH>I>DC C6B>C< I6H@
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 8
'%2/# +1#/!1',+ #14##+ //,/ #$$#!1 +" /,2- '+ 5-#/'*#+1
'DI: "CI:G68I>DC 7:IL::C GGDG !><= 6C9 %DL 6C9 GDJE BJAI>EA:8J:H KH IDC:8J: HI6C96G9 :GGDG 76GH 6G: H=DLC >C I=: b<JG:
I=: BJAI>EA:8J:H <GDJE E:G;DGB:9 L:AA 67DK: 8=6C8: >:
>C 7DI= I=: EG:I:HI > : .
! ' 6C9 EDHII:HI >
: .
! '
JGI=:G E:G;DGB6C8: L6H H><C>b86CIAN >BEGDK:9 >C
I=: EDHII:HI 8DBE6G:9 ID EG:I:HI > : .
0: I=:C G6C 6C '(/ L>I= I=: ;68IDGH -:HI EG: KH
EDHI 6C9 GDJE BJAI>EA:8J:H KH IDC:8J: DC I=: IDC:
C6B>C< 688JG68N G6I:H -=: G:HJAIH H=DL:9 6 H><C>b86CI
B6>C :;;:8I D; -:HI :
η
>C9>86I>C< =><=:G 688JG68N >C C6B>C< IDC:H >C
EDHII:HI ! ' G:A6I>K: ID EG:I:HI !
' -=:G: L6H 6AHD 6 L:6@ H><C>b86CI B6>C
:;;:8I ;DG GDJE :
η
>C9>86I>C< =><=:G DK:G6AA 688JG68N >C I=: IDC:8J:
<GDJE I=6C >C I=: BJAI>EA:8J:H <GDJE &DG: >BEDGI6CIAN
I=:G: L6H 6 H><C>b86CI >CI:G68I>DC 7:IL::C -:HI 6C9 GDJE
:
η
>C9>86I>C<
A6G<:G >BEGDK:B:CIH >C 688JG68N DC EDHII:HI >C I=: IDC:
8J: <GDJE ! ' G:A6I>K: ID I=: BJAI>EA:8J:H
<GDJE ! ' 6H H=DLC >C ><JG: -=:
BJAI>EA:8J:H <GDJE 9>9 CDI E:G;DGB H><C>b86CIAN 67DK:
8=6C8: >C I=: EG:I:HI > : .
! ' 6C9 >C I=: EDHII:HI >
: .
! '
-=: IDC:8J: <GDJE L6H 6AHD CDI H><C>b86CIAN 67DK: 8=6C8:
>C I=: EG:I:HI > : .
!
' 7JI L6H H><C>b86CIAN 67DK: 8=6C8: >C
I=: EDHII:HI > : .
!
' &DG: >BEDGI6CIAN I=: 96I6 H=DL:9 6
H><C>b86CI >BEGDK:B:CI 7:IL::C I=: EG:I:HI 6C9 EDHII:HI
> : .
;DG I=: A6II:G
<GDJE
JGI=:GBDG: I=: '(/ L>I= I=: ;68IDGH -:HI EG: KH
EDHI 6C9 GDJE BJAI>EA:8J:H KH IDC:8J: DC I=: +-H
>C I=: IDC: C6B>C< I6H@ H=DL:9 6 B6>C H><C>b86CI :;;:8I
D; -:HI :
η
>C9>86I>C< I=6I E6GI>8>E6CIH L:G: DK:G6AA HADL:G >C C6B>C<
IDC:H >C I=: EG:I:HI ! BH ' 8DBE6G:9 ID
I=: EDHII:HI ! BH ' DI= I=: B6>C :;
;:8I ;DG GDJE :
η
6C9 I=: >CI:G68I>DC 7:IL::C -:HI 6C9 GDJE
:
η
L:G: CDI H><C>b86CI
(K:G6AA L=>A: 6 H><C>b86CI >BEGDK:B:CI L6H ;DJC9 7:
IL::C I=: EG:I:HI 6C9 I=: EDHII:HI G6I:H >C I=: IDC:8J:
<GDJE I=: H6B: :;;:8I L6H CDI D7H:GK:9 >C I=: BJAI>EA:
8J:H <GDJE EDI:CI>6AAN >C9>86I>C< 6C DK:GH=69DL>C< :;;:8I
>K:C HDB: K>DA6I>DCH D; I=: CDGB6A>IN 6HHJBEI>DCH D; I=: '(/H L: 6AHD G6C 6 CDCE6G6B:IG>8 G:E:6I:9 B:6HJG:H '(/ G>:9B6C
I:HI DC I=: IDC: C6B>C< 688JG68N 6H HJ<<:HI:9 7N 6C 6CDCNBDJH G:K>:L:G DCH>HI:CI L>I= I=: 67DK: '(/ G:HJAIH CD >BEGDK:
B:CIH 7:IL::C I=: EG:I:HI 6C9 EDHII:HI L:G: D7H:GK:9 ;DG I=: BJAI>EA:8J:H <GDJE χ7 :
"C 8DCIG6HI 6 H><C>b86CI >BEGDK:
B:CI 7:IL::C EG:I:HI 6C9 EDHII:HI L6H D7H:GK:9 ;DG I=: IDC:8J: <GDJE χ7 :
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 9
'%2/# '$$#/#+!# '+ !!2/!6 /1#0 #14##+ /,2- '+ 5-#/'*#+1
'DI: >;;:G:C8:H >C 88JG68N G6I:H EG:I:HI 6C9 EDHII:HI 7:IL::C I=: <GDJEH BJAI>EA:8J:H KH IDC:8J: ,I6C96G9 :GGDG 76GH 6C9 688JG68N 8=6C8: <J:HH>C< 6I >C G:9 6G:
H=DLC >C I=: b<JG:
'0!200',+
"C ME:G>B:CI L: L6CI:9 ID HIJ9N L=:I=:G CDCBJH
8>6CH L:G: 67A: ID :6H>AN 6C9 G6E>9AN A:6GC E>I8=A67:A 6HHD
8>6I>DCH (JG G:HJAIH H=DL:9 I=6I 6H :ME:8I:9 7DI= <GDJEH
D; E6GI>8>E6CIH H=DL:9 6 8DCI>C<:C8N :;;:8I >C I=: A:6GC>C<
E=6H: 0: CDI: I=6I L=>A: 8DCI>C<:C8N :;;:8IH L:G: A6G<:G
>C I=: BJAI>EA:8J:H <GDJE >C 7DI= G:HEDCH: I>B:H 6C9 :G
GDGH I=>H bC9>C< H=DJA9 7: >CI:GEG:I:9 L>I= 86JI>DC 6H
I=: BJAI>EA:8J:H <GDJE 8DJA9 7: 7>6H:9 CDI DCAN 7N I=:
IDC:H 7JI 6AHD 7N I=: EG:9>8I>K: CDI: EDH>I>DCH AHD >CI:G
:HI>C< 7DI= <GDJEH L:G: 67A: ID G:HEDC9 67DK: 8=6C8: >C
I=: I:HIH E=6H:H >C A>C: L>I= EG:K>DJH bC9>C<H >C I=: 8DCI>C
<:C8N A:6GC>C< A>I:G6IJG: "DG>D :I 6A ,8=B>9I :
!DJL:G 6C9 DK:G6AA I=:N H><C>b86CIAN 9:8G:6H:9 I=:>G
+-H >C I=: EDHII:HI 8DBE6G:9 ID I=: EG:I:HI !DL:K:G E6G
I>8>E6CIH >C I=: BJAI>EA:8J:H <GDJE H::B:9 ID H=DL LDGH:
E:G;DGB6C8: 8DBE6G:9 ID I=: IDC:8J: <GDJE -=:G:;DG:
6AI=DJ<= EG:K>DJH G:H:6G8= H::BH ID HJ<<:HI I=6I EG:H:CI
>C< 7DI= CDI: EDH>I>DC 6C9 IDC:H 86C 7:C:bI I=: A:6GC>C<
D; HJ7H@>AAH &>H=G6 DJG G:HJAIH HJ<<:HI I=6I L=:C
>I 8DB:H ID E>I8= >9:CI>b86I>DC EG:H:CI>C< BDG: I=6C DC:
EG:9>8I>K: 8J: B6N >CI:G;:G: L>I= I=: 68FJ>H>I>DC 7:IL::C
I=: CDI: C6B: 6C9 I=: IDC: >: 6C DK:GH=69DL>C< :;;:8I
5-#/'*#+1
"C ME:G>B:CI L: HIJ9>:9 I=: BDG: :ME:G>B:CI6AAN
_EJG:` 86H: D; CDCBJH>8>6CH A:6GC>C< ID >9:CI>;N CDI:
E>I8=:H L=D >C8>9:CI6AAN =6K: 6AHD 8A:6GAN _B>HH:9` 6CN
EDI:CI>6A 8G>I>86A E:G>D9 ;DG 68FJ>G>C< E>I8= >9:CI>b86I>DC
H@>AAH H:: "CIGD9J8I>DC -=>H HDGI D; H6BEA: LDJA9 6AHD 8DG
G:HEDC9 ID CDK>8: BJH>8>6CH ?JHI 7:<>CC>C< ID A:6GC BJ
H>8 %:6GC>C< ID >BEGDK: E>I8= >9:CI>b86I>DC H@>AAH 8DJA9
6AHD 7: JH:;JA ;DG :ME:G>:C8:9 BJH>8>6CH "C I=6I K:>C M
E:G>B:CI HIJ9>:H L=:I=:G DJG >C8>9:CI6A A:6GC>C< EGD8:
9JG: 86C =:AE BJH>8>6CH ID >BEGDK: I=:>G 67>A>IN ID >9:CI>;N
6C9 A67:A IDC:H "C8>9:CI6AAN BJH>8>6CH 6G: 6AHD 6C >CI:G
:HI>C< <GDJE ID HIJ9N ;DG 6CDI=:G G:6HDC (JG E6GI>8>E6CIH
L:G: BJH>8>6CH 7JI ) CDCEDHH:HHDGH "; E>I8= >9:CI>b86
I>DC H@>AAH 6G: HIG>8IAN 9:E:C9:CI DC _<DD9 <:C:H` H:: "C
IGD9J8I>DC I=:C I=>H <GDJE H::BH ID 7: I=: BDHI JCA>@:AN
ID =6K: H6>9 <:C:H I=:N =6K: =69 BDG: I=6C :CDJ<= :M
E:G>:C8: H::>C< BJH>8 CDI6I>DC EA6N>C< CDI:H 6C9 =:6G>C<
I=: 8DGG:HEDC9>C< E>I8=:H ID =6K: 68FJ>G:9 ) 6AG:69N >;
I=:N =69 I=: G><=I 9>HEDH>I>DC ;DG >I ,>C8: EG:K>DJH G:H:6G8=
=6H HJ<<:HI:9 I=6I ) 9:K:ADEB:CI >H G:A6I:9 ID :6GAN BJ
H>86A IG6>C>C< GDO>:G :JIH8= :I 6A &>N6O6@>
(<6L6 L: 6AHD 9:8>9:9 ID I6@: I=>H B:6HJG: >CID
688DJCI 6H 6 8DK6G>6I: >C DJG 6C6ANH>H
H 6 ;JGI=:G B6C>EJA6I>DC >C ME:G>B:CI L: >CIGD
9J8:9 6 H:8DC9 C6B:ID@:N B6EE>C< ID 7: 67A: ID I:HI
;DG HE6I>6A 8DBE6I>7>A>IN :;;:8IH ,E:8>b86AAN +JH8DC> :I 6A
HJ<<:HI:9 I=6I I=: =JB6C 8D<C>I>K: HNHI:B 6JID
B6I>86AAN 8D9:H E>I8=:H HE6I>6AAN L>I= I=: =><=:HI E>I8=:H
G:EG:H:CI:9 DC I=: G><=I 6C9 I=: ADL:HI E>I8=:H DC I=: A:;I
6@>C I=: ,E6I>6A &JH>86A HHD8>6I>DC D; +:HEDCH: D9:H
,&+ :;;:8I 6C9 G:8:CI G:H:6G8= >C9>86I:H I=6I HE68:
E>I8= 6HHD8>6I>DCH :M=>7>I <G:6I:G HI67>A>IN L=:C HJEEA:
B:CI:9 L>I= B:I6E=DGH :B7:99:9 >C A6C<J6<: DAH8=:>9
:I 6A -=: G:C8= A6C<J6<: ;DG >CHI6C8: :MEG:HH:H
E>I8= EG:9DB>C6CIAN >C I:GBH D; HE6I>6A =:><=I "C ME:G>
B:CI I=: ADL:HI CDI: C6B: ;DG I=: ADL:HI E>I8= >C DJG
I6H@ _;6` 8DGG:HEDC9:9 ID I=: A:;IBDHI @:N DC I=: @:N
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 10
7D6G9 _3` )DHH>7AN I=>H 8DJA9 =:AE L>I= I=: 68FJ>H>I>DC D;
@:NA67:A G:HEDCH:H 76H:9 DC I=: G:H:6G8= DC I=: ,&+
:;;:8I H 6 HB6AA CDI: L: 9>9 CDI bC9 :K>9:C8: ;DG 6
,&+ :;;:8I DC I=: 68FJ>H>I>DC D; I=: CDI: C6B:CDI: ED
H>I>DC 6HHD8>6I>DCH >C DJG EG:K>DJH LDG@ "DG>D :I 6A
!DL:K:G ID 8DCIGDA ;DG EDHH>7A: >CcJ:C8: D; I=: ,&+
:;;:8I >C DJG E6G69><B L: 8DBE6G:9 E:G;DGB6C8: >C ILD
<GDJEH 8DBE6I>7A: KH >C8DBE6I>7A: <GDJEH H:: I=: !/>29.
H:8I>DC ;DG BDG: 9:I6>AH
(JG EG>B6GN =NEDI=:H>H ;DG I=: EG:H:CI :ME:G>B:CI L6H
I=6I BJH>8>6CH LDJA9 7: 67A: ID >BEGDK: I=:>G E>I8= >9:C
I>b86I>DC H>B>A6G ID I=: CDCBJH>8>6CH >C ME:G>B:CI
>K:C I=6I I=: IDC:8J: B6C>EJA6I>DC >BEGDK:9 EDHII:HI
CDI: 9:I:8I>DC CDI67AN BDG: I=6C I=: BJAI>EA:8J:H B6C>E
JA6I>DC >C ME:G>B:CI L: 9GDEE:9 I=: BJAI>EA:8J:H 8DC
9>I>DC ;GDB ME:G>B:CI 99>I>DC6AAN L: =NEDI=:H>O:9
I=6I E>I8= >9:CI>b86I>DC 67>A>I>:H LDJA9 7: =><=:G ;DG E6G
I>8>E6CIH I=6I HI6GI:9 A:6GC>C< BJH>8 :6GA>:G DC >C A>;: -D
L=6I :MI:CI :6GAN BJH>8 A:6GC>C< B><=I >CI:G68I L>I= EG:
EDHI >BEGDK:B:CI H8DG:H L6H JC8:GI6>C
#1&,"
Participants
-=: G:8GJ>IB:CI EGD8:HH L6H H>B>A6G ID I=: DC: JH:9 >C
ME:G>B:CI :M8:EI I=6I L: H:6G8=:9 ;DG BJH>8>6CH G6I=:G
I=6C CDCBJH>8>6CH -=:G:;DG: 6H HE:8>b:9 >C I=: G:8GJ>I
B:CI 69K:GI>H:B:CI L: ADD@:9 ;DG G:C8= HE:6@>C< E6GI>8
>E6CIH L>I= :ME:G>:C8: >C EA6N>C< BJH>8 E6GI>8>E6CIH
IDD@ E6GI >C I=: :ME:G>B:CI 6C9 G:8:>K:9 BDC:I6GN 8DB
E:CH6I>DC P ;DG I=:>G E6GI>8>E6I>DC !DL:K:G E6GI>8
>E6CIH L:G: :M8AJ9:9 ;GDB I=: 6C6ANH>H 7:86JH: I=:N ;6>A:9
ID G:EDGI >C;DGB6I>DC 67DJI I=: 6<: I=:N HI6GI:9 BJH>86A
IG6>C>C< >C;DGB6I>DC I=6I L: JH:9 6H 6 8DK6G>6I: >C I=: ;DA
ADL>C< 6C6ANH:H (; I=: G:B6>C>C< E6GI>8>E6CIH 9:
8A6G:9 ID =6K: 67HDAJI: E>I8= !DL:K:G DCAN H:K:C E6GI>8
>E6CIH G:EDGI:9 688JG68N G6I:H 7:IL::C 6C9 >C
I=: EG:I:HI 6C9 L:G: 9>H86G9:9 ;GDB I=: ;DAADL>C< 6C6ANH>H
6H >C ME:G>B:CI AA E6GI>8>E6CIH 688:EI:9 6 LG>II:C 8DC
H:CI 7:;DG: 7:<>CC>C< I=: HIJ9N AA I=: EGD8:9JG:H L:G:
8DC9J8I:9 >C 688DG96C8: L>I= I=: :8A6G6I>DC D; !:AH>C@>
)6GI>8>E6CIH^ 6CDCNB>O6I>DC L6H <J6G6CI::9
Apparatus,
Design,
and
Procedure
-=: <:C:G6A HIGJ8IJG: D; I=: :ME:G>B:CI L6H H>B>A6G ID
I=: DC: JH:9 >C ME:G>B:CI L>I= HDB: :M8:EI>DCH >GHIAN
L: 8=6C<:9 I=: C6B:ID@:N 6HH><CB:CI I=: @:NH
! # $ % >CHI:69 D; I=: @:NH 3+-2." ID 8DCIGDA
;DG EDHH>7A: 9>;;:G:C8:H >C I=: @:N7D6G9H JH:9 7N I=: E6G
I>8>E6CIH G:8GJ>I:9 DCA>C: H B:CI>DC:9 67DK: L: >CIGD
9J8:9 6 H:8DC9 C6B:ID@:N B6EE>C< ID 7: 67A: ID I:HI ;DG
HE6I>6A 8DBE6I>7>A>IN :;;:8IH DG I=: bGHI <GDJE 8DBE6I>
7A: <GDJE L: JH:9 I=: H6B: C6B:ID@:N 6HH><CB:CI 6H
;DG ME:G>B:CI >: I=: IDC:H JH:9 L:CI ;GDB _;6` ID
_B>` 8DGG:HEDC9>C< ID I=: ID % @:NH DC I=: @:N7D6G9 "C
I=>H <GDJE I=: HE6I>6A EDH>I>DC D; I=: IDC:H L6H _8DBE6I>
7A:` DG >C DI=:G LDG9H B6I8=:9 I=: G:HEDCH:H DG I=: H:8
DC9 <GDJE >C8DBE6I>7A: <GDJE L: JH:9 I=: ID % @:NH
ID G:;:GH ID _9D` ID _H>` CDI: C6B:H "C I=>H <GDJE I=:G:
L6H CD HE6I>6A 8DBE6I>7>A>IN 7:IL::C I=: IDC:H 6C9 I=: G:
HEDCH:H :< I=: A:;IBDHI _` @:N 8DGG:HEDC9:9 ID DC: D;
I=: =><=:HI IDC:H K>O _9D` H DC: ;JGI=:G 8=6C<: L: :M
8AJ9:9 I=: BJAI>EA:8J:H 8DC9>I>DC AA E6GI>8>E6CIH 8DB
EA:I:9 I=: IDC:8J: 8DC9>I>DC ;GDB ME:G>B:CI
Data
Analysis
H >C ME:G>B:CI L: G6C 6C '(/ DC +-H 6C9 :GGDG
G6I:H ;DG I=: A:6GC>C< E=6H: 6C9 II:HIH DC 688JG68N 6C9 +-H
;DG I=: I:HI E=6H:H !DL:K:G =:G: L: 699>I>DC6AAN 699:9 >C
;DGB6I>DC 67DJI I=: HI6GI D; BJH>86A IG6>C>C< 6H 6 8DK6G>
6I: >C DJG 6C6ANH>H D; I=: IG>6AH DC I=: IDI6A CJB7:G
D; E6GI>8>E6CIH L:G: :A>B>C6I:9 76H:9 DC I=: H6B: 8G>I:
G>6 JH:9 >C ME:G>B:CI >: IG>6AH >C L=>8= E6GI>8>E6CIH
;6>A:9 ID G:HEDC9 >C BH AA 6C6ANH:H L:G: :K6AJ6I:9
6I I=:
α
A:K:A D; H><C>b86C8: 6C9 L: G:EDGI:9 I=:
6N:H ;68IDG -=: 96I6 H:I >H 6K6>A67A: K>6 I=: ;DAADL>C< A>C@
=IIEHDH;>DM?9I
#02)10
Response
Times
-=: G:E:6I:9 B:6HJG:H '(/ ;DG +-H L>I= I=: ;68IDGH
DCI>C<:C8N =><= KH ADL 6C9 GDJE 8DBE6I>7A: KH >C
8DBE6I>7A: 6C9 I=: 6<: D; I=: HI6GI D; BJH>86A IG6>C>C< 6H
8DK6G>6I: H=DL:9 6 H><C>b86CI B6>C :;;:8I D; DCI>C<:C8N
:
η
>C9>86I>C<
;6HI:G G:HEDCH:H ;DG =><=8DCI>C<:C8N IG>6AH ! BH '
I=6C ;DG ADL8DCI>C<:C8N IG>6AH ! BH '
-=: B6>C :;;:8I D; GDJE L6H CDI H><C>b86CI
:
η
-=: >CI:G68I>DC 7:
IL::C DCI>C<:C8N 6C9 GDJE L6H H><C>b86CI ><JG:
:
η
9J: ID 6
<G:6I:G 9>;;:G:C8: 7:IL::C =><= 6C9 ADL 8DCI>C<:C8N IG>6AH
;DG I=: 8DBE6I>7A: <GDJE &=><=8DCI>C<:C8N BH '
&ADL8DCI>C<:C8N IG>6AH BH ' 8DBE6G:9
ID I=: >C8DBE6I>7A: <GDJE &=><=8DCI>C<:C8N BH
'
&ADL8DCI>C<:C8N IG>6AH BH '
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 11
'%2/# +1#/!1',+ #14##+ !,+1'+%#+!6 #$$#!1 +" /,2- '+ 5-#/'*#+1
'DI: "CI:G68I>DC 7:IL::C DCI>C<:C8N !><= 6C9 %DL 6C9 GDJE 8DBE6I>7A: KH >C8DBE6I>7A: HI6C96G9 :GGDG 76GH 6G: H=DLC >C I=: b<JG:
-=: 8DCI>C<:C8N :;;:8I L6H H><C>b86CI ;DG 7DI= I=: 8DB
E6I>7A: <GDJE !ADL=><= ' > :
. 6C9 I=: >C8DBE6I>7A: <GDJE
!ADL=><= ' > : .
-=: >CI:G68I>DC 7:IL::C DCI>C<:C8N 6C9 7:
<>CC>C< D; I=: BJH>86A IG6>C>C< L6H CDI H><C>b86CI
:
η
Error
Rates
-=: G:E:6I:9 B:6HJG:H '(/ ;DG :GGDGH L>I= I=: ;68
IDGH DCI>C<:C8N =><= KH ADL 6C9 GDJE 8DBE6I>7A: KH
>C8DBE6I>7A: G:K:6A:9 6 B6>C :;;:8I D; DCI>C<:C8N
:
η
BDG: :GGDGH
;DG ADL IG>6AH ! ' 8DBE6G:9 ID =><= IG>6AH
! ' 6C9 6 CDCH><C>b86CI B6>C :;;:8I ;DG
GDJE :
η
-=:
>CI:G68I>DC 7:IL::C DCI>C<:C8N 6C9 GDJE L6H 6AHD CDI
H><C>b86CI :
η
Test
Phases
D; E6GI>8>E6CIH D; CDI>8:9 I=: 8DCI>C<:C
8>:H 7:IL::C I=: IDC:H 6C9 I=: CDI: C6B:H 0: I=: E:G
;DGB:9 6C '(/ DC I=: 688JG68N G6I:H L>I= -:HI EG: KH
EDHI 6C9 GDJE 8DBE6I>7A: KH >C8DBE6I>7A: 6H ;68IDGH
-=: B6>C :;;:8I D; -:HI L6H H><C>b86CI :
η
6H L:AA 6H I=: B6>C :;;:8I D;
GDJE :
η
AHD
I=: >CI:G68I>DC -:HI M GDJE L6H H><C>b86CI
:
η
EG:I:HI !-97:+>3,6/
' !38-97:+>3,6/ ' EDHII:HI !-97:+>
3,6/ ' !38-97:+>3,6/ '
(I:HIH ;DG EG:I:HI 6C9 EDHII:HI 688JG68N G6I:H H=DLC >C
><JG: G:K:6A:9 I=6I I=: 8DBE6I>7A: <GDJE 9>9 CDI E:G
;DGB H><C>b86CIAN 67DK: 8=6C8: >: >C I=: EG:I:HI
> : .
! '
7JI L:G: H><C>b86CIAN 67DK: 8=6C8: >C I=: EDHII:HI
> : .
! '
-=: >BEGDK:B:CI 7:IL::C EG:EDHII:HI L6H H><C>;
C 6CDCNBDJH G:K>:L:G HJ<<:HI:9 I=6I I=: 8DBE6I>7>A>IN :;;:8I B><=I 7: E6GI>8JA6GAN EG:H:CI ;DG E>6C>HIH L=:G: I=: A:;IIDG><=I 6HH><C
B:CI D; E>I8=:H ID @:NH >H E6GI>8JA6GAN H6A>:CI -D :MEADG: I=>H EDHH>7>A>IN L: H:E6G6I:9 E6GI>8>E6CIH >CID ILD <GDJEH I=DH: L=D G:EDGI:9
HIJ9N>C< E>6CD 8 6C9 I=DH: L=D G:EDGI:9 HIJ9N>C< 6C >CHIGJB:CI DI=:G I=6C E>6CD DG H>C<>C< 8 "C 6C '(/ >C8AJ9>C< I=>H
:MIG6 ;68IDG I=: B6>C :;;:8I D; DCI>C<:C8N G:B6>C:9 H><C>b86CI :
η
-=: B6>C :;;:8I D; GDJE
:
η
6C9 "CHIGJB:CI EA6N:9 :
η
L:G: CDI H><C>b86CI &DHI 8G>I>86AAN I=: >CI:G68I>DC
7:IL::C DCI>C<:C8N M GDJE M "CHIGJB:CI EA6N:9 L6H CDI H><C>b86CI :
η
I=DJ<= L: 9D CDI: I=6I I=:G:
L6H 6I A:6HI 6 CJB:G>86A IG:C9 ;DG 6 A6G<:G DCI>C<:C8N 7N GDJE >CI:G68I>DC ;DG E>6CD EA6N:GH BH >CI:G68I>DC 8DBE6I>7A: <GDJE
!2312-98>381/8-C BH '
!69A-98>381/8-C BH ' >C8DBE6I>7A: <GDJE !2312-98>381/8-C BH '
!69A-98
>381/8-C BH ' G:A6I>K: ID DI=:G >CHIGJB:CI EA6N:GH BH >CI:G68I>DC 8DBE6I>7A: <GDJE !2312-98>381/8-C BH '
!69A-98>381/8-C BH ' >C8DBE6I>7A: <GDJE !2312-98>381/8-C BH '
!69A-98>381/8-C BH '
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 12
'%2/# '$$#/#+!# '+ !!2/!6 /1#0 #14##+ /,2- '+ 5-#/'*#+1
'DI: >;;:G:C8:H >C 88JG68N G6I:H )G:I:HI 6C9 )DHII:HI 7:IL::C I=: <GDJEH 8DBE6I>7A: KH >C8DBE6I>7A: HI6C96G9 :GGDG 76GH 6C9 688JG68N 8=6C8: <J:HH>C< 6I 6G: H=DLC >C
I=: b<JG:
>86CI ;DG I=>H <GDJE > : .
-=: >C8DBE6I>7A: <GDJE 9>9 CDI E:G;DGB 67DK: 8=6C8: >C
I=: EG:I:HI > : .
! ' 6C9 >C I=: EDHII:HI > :
.
! ' AI=DJ<=
I=: >C8DBE6I>7A: <GDJE G:EDGI:9 E:G;DGB6C8: HA><=IAN 7:
ADL 8=6C8: <J:HH>C< >C I=: EG:I:HI I=:>G E:G;DGB6C8: H><
C>b86CIAN >BEGDK:9 7:IL::C EG:EDHII:HI > :
.
0: G6C 6C '(/ L>I= I=: ;68IDGH -:HI EG: KH EDHI 6C9
GDJE 8DBE6I>7A: KH >C8DBE6I>7A: DC I=: +-H ;DG I=: IDC:
C6B>C< I6H@ -=>H 6C6ANH>H H=DL:9 6 CDCH><C>b86CI B6>C
:;;:8I ;DG -:HI :
η
6 CDCH><C>b86CI B6>C :;;:8I D; GDJE
:
η
6C9 6 CDCH><C>b86CI >CI:G
68I>DC 7:IL::C -:HI 6C9 GDJE :
η
'0!200',+
"C ME:G>B:CI L: L6CI:9 ID 9:I:GB>C: L=:I=:G DJG
>C8>9:CI6A A:6GC>C< EGD8:9JG: 8DJA9 =:AE BJH>8>6CH ID >B
EGDK: I=:>G 67>A>IN ID >9:CI>;N 6C9 A67:A IDC:H -=: G:HJAIH
H=DL:9 6 H><C>b86CI 8DCI>C<:C8N :;;:8I ;DG 7DI= <GDJEH
>C G:HEDCH: I>B:H 6C9 :GGDGH !DL:K:G DJG bC9>C<H DC
I=: +-H >C I=: I:HI E=6H:H 9>9 CDI G:K:6A 6CN <:C:G6A H><
C>b86CI >BEGDK:B:CI >C G:HEDCH: I>B:H 7:IL::C I=: EG:
6C9 EDHII:HI JGI=:GBDG: DCAN I=: 8DBE6I>7A: <GDJE E:G
;DGB:9 H><C>b86CIAN 67DK: 8=6C8: >C I=: EDHII:HI I=DJ<=
7DI= <GDJEH H=DL:9 6C >C8G:6H: >C E:G;DGB6C8: 7:IL::C
I=: EG: 6C9 EDHII:HI ,>B>A6GAN I=: +- 8DCI>C<:C8N :;;:8I
L6H A6G<:G >C I=: 8DBE6I>7A: <GDJE -=:H: DJI8DB:H HJ<
<:HI I=6I L=:C 6H@:9 ID :MEA>8>IAN C6B: 6 IDC: E6GI>8>E6CIH
B6N G:AN DC HDB: HDGI D; >CI:GC6A HE6I>6AAN G:A6I:9 8D9: ;DG
IDC:H 6H H=DLC >C EG:K>DJH G:H:6G8= G><6 ,6>ID
+JH8DC> :I 6A )6GI>8>E6CIH 86C A:6GC I=: 8DCI>C<:C
8>:H >C :>I=:G 86H: 7JI HE6I>6A 8DBE6I>7>A>IN B6N =:AE
5-#/'*#+1
"C ME:G>B:CI L: :MI:C9 I=: G:HJAIH D; I=: EG:8:9>C<
:ME:G>B:CIH >C ILD L6NH >GHI L: I:HI:9 L=:I=:G E>I8=
A:6GC>C< E:GH>HIH DK:G I>B: DCH>9:G>C< =DL EG:K>DJH G:
H:6G8= 67DJI E>I8= >9:CI>b86I>DC 9:H8G>7:H I=: 68FJ>H>I>DC
D; E>I8=A67:A 6HHD8>6I>DCH 6H HDB:I=>C< 9>;b8JAI >I B><=I
7: I=: 86H: I=6I I=: A:6GC>C< :;;:8I L: =6K: H=DLC >C I=:
ME:G>B:CI >H ?JHI I:BEDG6GN 6C9 L>AA CDI E:GH>HI DK:G
I>B: -=6I >H L=6I >; CDCBJH>8>6CH L:G: 67A: ID A:6GC I=:
E>I8=A67:A 6HHD8>6I>DCH 6H 6 G:HJAI D; I=: B6CN G:E:I>I>DCH
I=:N L:G: :MEDH:9 ID 7JI I=:N 9>9 CDI ;DGB 6CN ADC<A6HI
>C< G:EG:H:CI6I>DCH D; I=:H: 6HHD8>6I>DCH >C B:BDGN !:G:
<6>C L: G6C 6 CDCE6G6B:IG>8 G:E:6I:9 B:6HJG:H '(/ G>:9B6C I:HI DC I=: IDC: C6B>C< 688JG68N -=: >BEGDK:B:CI ;GDB EG:I:HI
ID EDHII:HI L6H H><C>b86CI >C I=: 8DBE6I>7A: <GDJE χ7 :
DG I=: >C8DBE6I>7A: <GDJE I=: >BEGDK:B:CI L6H CDI H><C>b86CI
χ7 :
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 13
L: 6G<J: I=6I E>I8=A67:A 6HHD8>6I>DCH 86C CDI DCAN 7: >C
8>9:CI6AAN A:6GC:9 7JI I=6I I=: >C;DGB6I>DC >H G:I6>C:9 >C
B:BDGN 6C9 >I 86C 7: :6H>AN G:IG>:K:9 CDI DCAN >BB:9>6I:AN
6;I:G A:6GC>C< >I 7JI :K:C BDG: >CI:G:HI>C<AN 6;I:G HDB:
I>B: ;GDB I=: A:6GC>C< EGD8:HH 0: I=:G:;DG: =NEDI=:H>O:9
I=6I EDHII:HI H8DG:H LDJA9 HI>AA 7: >C8G:6H:9 6;I:G 6 9:A6N
>: I=6I I=: A:6GC:9 E>I8= >C;DGB6I>DC G:B6>CH >C B:B
DGN
,:8DC9 L: 6>B:9 ID HIJ9N I=: :;;:8I D; >CI:CI>DC6A>IN DC
I=: A:6GC>C< 6C9 8DCHDA>96I>DC D; E>I8=A67:A 6HHD8>6I>DCH
)6HI G:H:6G8= HJ<<:HIH I=6I 7:>C< 6L6G: D; I=: 8DCI>C<:C
8>:H 7:;DG: 7:<>CC>C< I=: :ME:G>B:CI 7:C:bIH I=:>G 68FJ>H>
I>DC ,8=B>9I : !DJL:G 7 6 8 -=6I >H
L=>A: E6GI>8>E6CIH L=D 6G: CDI >C;DGB:9 67DJI I=: G:<JA6G
>I>:H >C I=: I6H@ <:C:G6AAN HI>AA A:6GC H6>9 G:<JA6G>I>:H E6G
I>8>E6CIH >C;DGB:9 >C 69K6C8: 67DJI I=: 8DCI>C<:C8N B6
C>EJA6I>DC D;I:C H=DL :K:C A6G<:G A:6GC>C< :;;:8IH ,>B>A6G
G:HJAIH =6K: 6AHD 7::C D7H:GK:9 >C H:FJ:C8: A:6GC>C< HIJ9
>:H :HIG:7:8FO -=>H >CHIGJ8I>DC :;;:8I >H D;I:C DCAN
BD9:G6I: 6C9 >H CDI 6AL6NH GD7JHI DG >CHI6C8: >C I=:
67DK:B:CI>DC:9 H><=IG:69>C< HIJ9>:H "DG>D :I 6A
L: 9>9 CDI bC9 6CN H><C>b86CI 9>;;:G:C8:H >C I=: A:6GC>C<
E=6H: 7:IL::C E6GI>8>E6CIH I=6I L:G: 6L6G: D; I=: 8DC
I>C<:C8>:H 6C9 I=DH: I=6I >C8>9:CI6AAN A:6GC:9 I=:B 'J
B:G>86A 9>;;:G:C8:H L:G: HJ<<:HI>K: =DL:K:G 6C9 EDHII:HI
G6I>C<H L:G: >BEGDK:9 L>I= :MEA>8>I >CHIGJ8I>DC -D 6HH:HH
I=>H FJ:HI>DC >C I=: E>I8= A:6GC>C< 8DCI:MI L: I=:G:;DG:
8G:6I:9 ILD <GDJEH 6C >C8>9:CI6A A:6GC>C< <GDJE I=6I L6H
CDI >C;DGB:9 67DJI I=: B6C>EJA6I>DC 7:;DG: HI6GI>C< I=:
:ME:G>B:CI 6C9 6 9:A>7:G6I: A:6GC>C< <GDJE I=6I L6H 0:
:ME:8I:9 A6G<:G A:6GC>C< :;;:8IH >C I=: 9:A>7:G6I: A:6GC>C<
<GDJE G:A6I>K: ID I=: >C8>9:CI6A A:6GC>C< <GDJE 7DI= >C I=:
E:G;DGB6C8: B:6HJG:H 9JG>C< I=: A:6GC>C< E=6H: 6C9 >C I=:
EDHII:HI H8DG:H -=6I >H >I >H EDHH>7A: I=6I 7:>C< 6II:CI>K:
ID I=: 8DCI>C<:C8>:H =:AEH L>I= 8DCHDA>96I>DC BDG: I=6C
A:6GC>C< >C 6 EJG:AN >C8>9:CI6A L6N
#1&,"
Participants
HIJ9:CIH ;GDB I=: .C>K:GH>IN D; JG<JC9N IDD@ E6GI
>C I=>H :ME:G>B:CI -=: :ME:G>B:CI L6H E6GI D; 6 H:8DC9
N:6G 8D<C>I>K: EHN8=DAD<N IJIDG>6A 6C9 H:GK:9 6H I=: 76H>H
;DG HIJ9:CI EG:H:CI6I>DCH ,IJ9:CIH L:G: CDI >C;DGB:9
67DJI I=: EJGEDH: D; I=: :ME:G>B:CI JCI>A 6;I:G 8DBEA:I>C<
7DI= E=6H:H =DL:K:G J: ID 8DBEA>86I>DCH L>I= I=:
(/" E6C9:B>8 I=: HIJ9N L6H 6AHD 8DC9J8I:9 DCA>C: JH
>C< I=: H6B: HD;IL6G: 6H I=: EG:8:9>C< :ME:G>B:CIH )HN
IDDA@>I ,ID:I 0: :M8AJ9:9 E6GI>8>E6CIH I=6I
:>I=:G 9>9 CDI 8DBEA:I: 6AA I=: I:HI E=6H:H DG 9>9 CDI 8DG
G:8IAN >C9>86I: I=:>G HIJ9:CI CJB7:G L=>8= 9>9 CDI 6AADL
JH ID B6I8= I=:>G 96I6H:IH ID<:I=:G E6GI>8>E6CIH I=6I
B:I I=:H: 8DC9>I>DCH 6C9 9:8A6G:9 ID CDI =6K: ) L:G: G6C
9DBAN 9>K>9:9 >CID 6C >C8>9:CI6A A:6GC>C< <GDJE >C ID
I6A 6C9 6 9:A>7:G6I: <GDJE >C IDI6A (C: E6GI>8>E6CI
L6H G:BDK:9 ;GDB I=: H6BEA: 7:86JH: 688JG68N L6H 7:
IL::C 6C9 >C I=: EG:I:HI H >C I=: EG:K>DJH HIJ9
>:H 6AA E6GI>8>E6CIH H><C:9 6 8DCH:CI ;DGB 7:;DG: HI6GI>C<
I=: HIJ9N -=: HIJ9N L6H 8DCH>HI:CI L>I= I=: :8A6G6I>DC D;
!:AH>C@> 6C9 E6GI>8>E6CIH^ 6CDCNB>O6I>DC L6H <J6G6CI::9
Apparatus,
Design,
and
Procedure
-=: :ME:G>B:CI ;DAADL:9 I=: H6B: HIGJ8IJG: 6H =: EG:
K>DJH HIJ9>:H L>I= HDB: :M8:EI>DCH >GHI I=: E6GI>8>E6CIH
L:G: 9>K>9:9 >CID >C8>9:CI6A 6C9 9:A>7:G6I: A:6GC>C< <GDJEH
0=>A: >C I=: bGHI <GDJE E6GI>8>E6CIH L:G: CDI >CHIGJ8I:9
67DJI I=: 8DCI>C<:C8>:H >: 6H >C I=: EG>DG :ME:G>B:CIH
>C I=: 9:A>7:G6I: <GDJE E6GI>8>E6CIH L:G: IDA9 67DJI I=:
8DCI>C<:C8>:H 7:;DG: 7:<>CC>C< I=: :ME:G>B:CI 6C9 I=:N
L:G: :C8DJG6<:9 ID A:6GC I=:B IG6CHA6I:9 ;GDB G:C8=
F"9>/
+-2
89>/
A366
,/
:</=/8>/.
79</
0</;?/8>6C
A3>2
>2/
-9<</->
>98/
+8.
6/==
0</;?/8>6C
A3>2
>2/
38-9<</->
>98/=
(<C
>9
6/+<8
>2/
89>/
8+7/
09<
/+-2
>98/G
H 6C 699>I>DC6A 8=6C<: >C DG9:G ID HIJ9N I=: 8DCHDA
>96I>DC D; C:L B6I:G>6A L: 6AHD 699:9 6 HJGEG>H: ;DAADL
JE H:HH>DC DC: L::@ 6;I:G I=: :C9 D; I=: A:6GC>C< E=6H:
JG>C< I=: ;DAADL JE E6GI>8>E6CIH L:G: 6H@:9 ID I6@: E6GI
>C 6 H:8DC9 EDHII:HI IDC: C6B>C< I6H@ L=>8= L6H >9:CI>86A
>C 6AA G:HE:8IH ID I=: DI=:G EDHII:HI 6C9 EG:I:HI H 6 B>
CDG 6H>9: L: CDI: I=6I HIJ9:CIH L:G: 6AHD 6H@:9 ID bAA >C 6
E6E:G6C9E:C8>A HJGK:N L>I= K6G>DJH FJ:HI>DCH 67DJI I=:>G
EG>DG BJH>8 :ME:G>:C8:H 0: CDI: I=6I I=>H HJGK:N L6H >C
8AJ9:9 ;DG EJG:AN E:96<D<>86A EJGEDH:H 6C9 L: =6K: CDI
CDG =69 :K:G >CI:C9:9 ID 6C6ANO: I=:H: 96I6 L>I= HDB: :M
8:EI>DCH ;DG I=: FJ:HI>DCH JH:9 ;DG 8DCIGDAA>C< ;DG BJH>86A
:ME:GI>H: B:CI>DC:9 7:ADL
Data
Analysis
-=: 6C6ANH>H L6H 76H:9 DC I=: H6B: 8G>I:G>6 6H I=DH:
JH:9 >C ME:G>B:CIH 6C9 0: 8DC9J8I:9 6 G:E:6I:9
B:6HJG:H '(/ ;DG +-H L>I= BJH>86A :ME:GI>H: 6H 6 8D
K6G>6I: 6C9 ;DG :GGDG G6I:H ID 6HH:HH I=: DK:G6AA B6>C :;;:8IH
D; DCI>C<:C8N GDJE 6C9 I=: >CI:G68I>DC 7:IL::C I=:B
DAADL>C< I=: :M8AJH>DC 8G>I:G>6 JH:9 >C ME:G>B:CIH 6C9
L: 9>H86G9:9 D; I=: 96I6 0: G6C >I:HIH 6C9
'(/H DC 88JG68N 6C9 +-H ;DG I=: I:HI E=6H:H 6C9 I=:
;DAADL JE AA 6C6ANH:H L:G: :K6AJ6I:9 6I I=:
α
A:K:A D;
H><C>b86C8: <6>C I=: 6N:H ;68IDG L6H G:EDGI:9 ;DG :68=
6C6ANH>H -=: 96I6 H:I >H 6K6>A67A: K>6 I=: ;DAADL>C< A>C@
=IIEHDH;>DM?9I
"C ;68I I=: HJGK:NH L:G: EG>CI:9 I=: EG>DG N:6G ;DG 6C JCG:A6I:9 HIJ9N 6C9 =69 CDI 7::C JH:9 9J: ID I=: (/" E6C9:B>8 6C :A:8IGDC>8
K:GH>DC L6H JH:9 >CHI:69 0: 9:8>9:9 ID JH: I=:H: FJ:HI>DCC6>G:H 7DI= 6 7:86JH: I=:N 8DCI6>C:9 6 ;:L FJ:HI>DCH G:A6I:9 ID DJG H:A:8
I>DC 8G>I:G>6 6C9 7 ID <>K: HIJ9:CIH >CHE>G6I>DC ;DG EDI:CI>6A 9>H8JHH>DC ED>CIH >C I=:>G <GDJE EG:H:CI6I>DCH -=: CDCE:GI>C:CI FJ:H
I>DCH =DL:K:G =6K: CDI 7::C 8D9:9 :A:8IGDC>86AAN
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 14
#02)10
Response
Times
0: G6C 6 G:E:6I:9 B:6HJG:H '(/ ;DG +-H L>I= I=:
;68IDGH DCI>C<:C8N =><= KH ADL 6C9 GDJE >C8>9:CI6A
KH 9:A>7:G6I: I=6I >C9>86I:9 6 H><C>b86CI B6>C :;;:8I D;
DCI>C<:C8N :
η
H=DL>C< ;6HI:G G:HEDCH:H ;DG =><=8DCI>C<:C8N IG>
6AH ! BH ' I=6C ;DG ADL8DCI>C<:C8N IG>6AH
! BH ' -=: B6>C :;;:8I D; GDJE L6H CDI
H><C>b86CI :
η
-=: >CI:G68I>DC 7:IL::C DCI>C<:C8N 6C9 GDJE L6H
CDI H><C>b86CI :
η
I=DJ<= I=:G: L6H 6 CJB:G>86A IG:C9 IDL6G9H 6 A6G<:G
8DCI>C<:C8N :;;:8I ;DG I=: 9:A>7:G6I: A:6GC>C< <GDJE !69A
2312
-98>381/8-C
><3+6= ' 8DBE6G:9 ID I=: >C8>
9:CI6A <GDJE !69A2312
-98>381/8-C
><3+6= '
Error
Rates
G:E:6I:9 B:6HJG:H '(/ ;DG :GGDGH L>I= I=: ;68IDGH
DCI>C<:C8N =><= KH ADL 6C9 GDJE >C8>9:CI6A 6C9 9:
A>7:G6I: G:K:6A:9 6 H><C>b86CI B6>C :;;:8I D; DCI>C<:C8N
:
η
H=DL>C<
BDG: :GGDGH ;DG ADL8DCI>C<:C8N IG>6AH & '
I=6C ;DG =><=8DCI>C<:C8N IG>6AH & '
-=: B6>C :;;:8I D; GDJE :
η
6C9 I=: >CI:G68I>DC 7:IL::C DCI>C
<:C8N 6C9 GDJE :
η
L:G: CDI H><C>b86CI >C8>9:CI6A <GDJE !2312><3+6=
' !69A><3+6= ' 9:A>7:G6I:
<GDJE !2312><3+6= ' !69A><3+6= '
Test
Phases
DG I=: HJ7?:8I>K: 6L6G:C:HH FJ:HI>DC D;
D; I=: E6GI>8>E6CIH CDI>8:9 I=: 8DCI>C<:C8>:H 7:IL::C
IDC:H 6C9 CDI: C6B:H -=: >C8>9:CI6A A:6GC>C< <GDJE E:G
;DGB:9 H><C>b86CIAN 67DK: 8=6C8: >C I=: EG:I:HI >
: .
! '
>C I=: EDHII:HI > : .
!
'
6C9 >C I=: ;DAADL JE > : .
! '
DG I=: 9:A>7:G6I:
<GDJE E:G;DGB6C8: L6H CDI H><C>b86CIAN 67DK: 8=6C8: >C
I=: EG:I:HI > : .
! '
7JI L6H H><C>b86CI >C I=: EDHII:HI
> : .
! '
6C9 >C I=: ;DAADL JE > : .
! '
-=: 9>;;:G:C8:H >C 688JG68N
G6I:H ;DJC9 7:IL::C I=: <GDJEH L:G: CDI H><C>b86CI >C I=:
EG:I:HI > : .
DG >C
I=: EDHII:HI > : .
=DL:K:G I=: 9:A>7:G6I: <GDJE E:G;DGB:9 H><C>b86CIAN 7:II:G
I=6C I=: >C8>9:CI6A <GDJE >C I=: ;DAADL JE > :
.
0: E:G;DGB:9 6C '(/ DC I=: 688JG68N G6I:H L>I=
-:HI EG: KH EDHI 6C9 GDJE 9:A>7:G6I: KH >C8>9:CI6A 6H
;68IDGH -=: B6>C :;;:8I D; -:HI L6H H><C>b86CI
:
η
-=: B6>C :;;:8I D;
GDJE L6H CDI H><C>b86CI :
η
-=: >CI:G68I>DC -:HI M GDJE L6H 6AHD CDI
H><C>b86CI :
η
EG:I:HI !38-3./8>+6 ' !./63,/<+>/
' EDHII:HI !38-3./8>+6 ' !./63,/<+>/
' ;DAADL JE !38-3./8>+6 '
!./63,/<+>/ '
88JG68N G6I:H L:G: H><C>b86CIAN =><=:G >C EDHII:HI 8DB
E6G:9 ID EG:I:HI >C 7DI= <GDJEH 6H H=DLC >C ><JG: >C
8>9:CI6A <GDJE > : .
9:A>7:G6I: <GDJE > :
.
88JG68N G6I:H L:G: H><C>b86CIAN ADL:G >C I=: ;DAADLJE
8DBE6G:9 ID I=: EDHII:HI >C I=: >C8>9:CI6A <GDJE >
: .
6C9 CDI H><C>b86CIAN
9>;;:G:CI ;DG I=: 9:A>7:G6I: <GDJE > : .
&DHI >BEDGI6CIAN 688JG68N G6I:H L:G: H><
C>b86CIAN =><=:G >C I=: ;DAADL JE 8DBE6G:9 ID I=: EG:I:HI
;DG 7DI= <GDJEH >C8>9:CI6A <GDJE > : .
6C9 9:A>7:G6I: <GDJE > :
.
"C I=: '(/ L>I= I=: ;68IDGH D; -:HI EG: 6C9 EDHI 6C9
GDJE >C8>9:CI6A 6C9 9:A>7:G6I: DC G:HEDCH: I>B:H L=>A:
I=: B6>C :;;:8I D; -:HI L6H H><C>b86CI
:
η
H=DL>C< 6 9:8G:6H: >C G:
HEDCH: I>B:H 7:IL::C I=: I:HIH &EG:I:HI BH '
&EDHI:HI BH ' &;DAAD JE BH
' 7DI= I=: B6>C :;;:8I ;DG GDJE
:
η
6C9 I=: >CI:G68I>DC 7:IL::C
-:HI 6C9 GDJE :
η
L:G: CDCH><C>b86CI
'0!200',+
-=: G:HJAIH D; ME:G>B:CI H=DL:9 6C DK:G6AA H><C>;
>86CI B6>C :;;:8I D; DCI>C<:C8N >C 7DI= <GDJEH :HE>I:
I=: A6G<:G H6BEA: H>O: 6C9 8DCIG6GN ID =NEDI=:H:H 6 CDC
H><C>b86CI >CI:G68I>DC 7:IL::C DCI>C<:C8N 6C9 GDJE >C
9>86I:9 CD 8A:6G :K>9:C8: I=6I >CI:CI>DC6A>IN =:AEH I=: 68
FJ>H>I>DC D; I=: 8DCI>C<:C8N 9JG>C< I=>H E:G;DGB6C8: I6H@
,>B>A6GAN CD :;;:8I D; >CI:CI>DC6A>IN L6H D7H:GK:9 >C I=:
EDHII:HI H8DG:H 7DI= >BB:9>6I:AN 6C9 DC: L::@ 6;I:G I=:
A:6GC>C< E=6H: -=:G: L:G: HDB: =>CIH D; A6G<:G A:6GC>C< :;
;:8IH 6I A:6HI >C I=: G:HEDCH: I>B:H 7JI DK:G6AA 9:A>7:G6I:
'DCE6G6B:IG>8 G:E:6I:9 B:6HJG:H '(/H G>:9B6C I:HI DC I=: 688JG68N G6I:H G:K:6A:9 H><C>b86CI >BEGDK:B:CI ;GDB EG:I:HI ID
EDHII:HI >C I=: >C8>9:CI6A χ7 :
6C9 9:A>7:G6I: <GDJE χ7 :
-=: 9>;;:G:C8: 7:IL::C EG:I:HI 6C9 ;DAADL JE L6H
6AHD H><C>b86CI ;DG I=: >C8>9:CI6A χ7 :
6C9 9:A>7:G6I: <GDJE χ7 :
>C6AAN I=: 9:8G:6H: 7:IL::C EDHII:HI 6C9
;DAADL JE L6H H><C>b86CI ;DG I=: >C8>9:CI6A <GDJE χ7 :
7JI CDI ;DG I=: 9:A>7:G6I: <GDJE χ7 :
"C8>9:CI6AAN 8FJ>G>C< )>I8=A67:A HHD8>6I>DCH 0>I= 6 &JH>86A DCI>C<:C8N %:6GC>C< -6H@
966+,<+
$=C-29691C 15
'%2/# '$$#/#+!# '+ !!2/!6 /1#0 #14##+ /,2- '+ 5-#/'*#+1
'DI: >;;:G:C8:H >C 88JG68N G6I:H )G:I:HI )DHII:HI 6C9 DAADLJE 7:IL::C I=: <GDJEH "C8>9:CI6A KH :A>7:G6I: HI6C96G9 :GGDG 76GH 6C9 688JG68N 8=6C8: <J:HH>C< 6I 6G:
H=DLC >C I=: b<JG:
A:6GC>C< 9>9 CDI H::B ID >C8G:6H: A:6GC>C< :;;:8IH 9G6HI>
86AAN "CHI:69 A:6GC>C< :;;:8IH L:G: GD7JHI >C 6AA E=6H:H D;
I=: :ME:G>B:CI ;DG 7DI= <GDJEH >C8AJ9>C< I=: DC: L::@
;DAADLJE EDHII:HI -=:H: G:HJAIH B6N G:c:8I 6C >BEDGI6CI
GDA: EA6N:9 7N >C8>9:CI6A A:6GC>C< ;DG I=: >CI:GC6A>O6I>DC D;
E>I8=A67:A 6HHD8>6I>DCH
#+#/) '0!200',+
-=: 8JGG:CI G:H:6G8= >CK:HI><6I:9 I=: A:6GC67>A>IN D;
E>I8= C6B:H ;DG 6J9>IDGN E>I8= HI>BJA> >C 6C >C8>9:CI6A
A:6GC>C< I6H@ H B:CI>DC:9 >C I=: "CIGD9J8I>DC I=: <D6A
D; I=: EG:H:CI LDG@ L6H CDI ID >CK:HI><6I: I=: A:6GC67>A>IN
D; 67HDAJI: E>I8= HIG>8IAN 9:bC:9 7JI G6I=:G ID :MEADG:
L=:I=:G I=:G: >H 6 ;JC96B:CI6A 9>;b8JAIN >C A:6GC>C< E>I8=
A67:A 6HHD8>6I>DCH (JG G:HJAIH HJEEDGI I=: >9:6 I=6I E>I8=
A67:A 6HHD8>6I>DCH 6G: A:6GC67A: >C >C8>9:CI6A A:6GC>C< 8DC
9>I>DCH "C9::9 A:6GC>C< :;;:8IH L:G: D7H:GK:9 9JG>C< 6
K:GN H=DGI A:6GC>C< EGD8:9JG: "C ME:G>B:CI I=: G:HJAIH
>C9>86I:9 I=6I CDCBJH>8>6CH L:G: 67A: ID >C8>9:CI6AAN A:6GC
E>I8=A67:A 6HHD8>6I>DCH 6C9 EGDE:GAN JH: I=>H >C;DGB6I>DC
ID C6B: IDC:H 67DK: 8=6C8: <J:HH>C< >C 6 IDC: C6B>C<
I6H@ -=: BJAI>EA:8J:H <GDJE L=>8= L6H :MEDH:9 ID I=:
8DB7>C6I>DC D; CDI: EDH>I>DCH 6C9 IDC:H 6H I=: 8J:H 9JG>C<
I=: A:6GC>C< E=6H: L:G: A:HH 688JG6I: >C I=: EDHII:HI 8DB
E6G:9 ID I=: IDC:8J: <GDJE H EG:K>DJHAN B:CI>DC:9 I=>H
G:HJAI B6N 7: 9J: ID I=: L:AA@CDLC DK:GH=69DL>C< :;;:8I
-=6I >H >; ILD HI>BJA> 6C9 1 DG >C I=>H HE:8>b8 86H:
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