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7 ,
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ber*. & Ten Hew. 1992) /J>W'""H. fêfir. H'Tli STATIS (l,,ivil, Kscnufier.
S;ib;ilier, & Traissar, l!)!)4), U W A Y T A C K (Kroom-nberK. liliHi). I ' A K A K A C
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'//tli (correspondence ;in;ilvsis)
( i n u l l i l r a i t s m u l l i r i K - t b o d s ) f
WiJ.' 'V)W.'!I. ( K r u n e n .
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• i'i-('
MTMM f- 9% T u c k e r t * f^l/ICi
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K x I l M V C M M O I I
llnpnlsi v i t v
IVsl A n x i e U l,.irk Ae.»lemie A r l i Motivation
Ratings IV.» het Sell
IV. K het Sell Peen Te.iehel S,.|l
IV.» hei Self
Bxtravenian r T s l i; l l .3 .4 ii .2 L, 6 1 .1 .1 . 1 0 1 . 1 . 4 4 . 1 . 1 .11 . 1 D P 1 .6 1.
4 j 1
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.
n i . < n ' , > n , ra.
'.-.ttSi>. i"i*/,u.j,o',>*
l»lt/.y. -i| 1C
.
« 3 M T M M f - » ( Ä 2 )
A Compoï;
Trait Components
T r a i t T 1 T 2 T 3 Impiilsivitv fil '14 Kxtravesion 52 M -1!)
\. h M o t i v a t i o n
1 A n x i e t y 33 fil .62 'loportion V a r i a b i l i t y .37 .22 13
It ( o r e Matrix
Method Trait ( iMiiiioii' Components
T 1 (Common)
Ml (Shared) T 2 (I* K vs 1. A & I . M ) T 3 (1*1. M vs K * l . A ) T 1 'Common)
1 ;> ( I * K vs. !.. A * l . M) T 3 (I&I..M vs. E&I..A)
Proportion V a r i a b i l i t y A m o u n t e d for
• i.ible Colll|ionelll C o r t e l a l !
Sllb|ei t C o m p o n e n t ' , Methorl S I S '! S 3 S 4
K .7 4 '!.
\ 7 . 1 4 4 S | "''-rrs) 1. M 7 4 1 LA .1 1 1 1
E 7 3 3
I . I 3 5
« ...M l
1. A ,' 4 fi 1
8 2 Idioacalt^HC.tSWtrr*!
^JftTIi, 1 -.1C Tucker -e f -'HCÜT'n
ÎÙfW.ftiT'— ? co^ïf/f (CT^TIittti'i/j' . /:
i a ) t ( C f c i , > T Ä ä » 3 tt T v ^ £ û. i i ^ - t W P
Method Com potten ti
Method
M l M 2 ' ' ' " ' " ' ' fil 24
,,, c. Self ' lil »•!no
.63 .110
Subie« t ( omitoiHMits S 1 S '1. S 3 S 4
1 !)3 3l .01 3') 1 IiO 1') 04 .2« 10!) 0l .24 23 01, 72 10 1!, .01 37
02 27
33 2l 1 1 Ofi
Sut, ici t Components
S I S 2 S 3 S 4
V. 5 fi 3 1
I fi .5 .2 3 (Teacher) 1- M 7 fi '! 0 1,. A 7 1 1 . 1
7 .f -;l/f - ^««HW-iHK') l-.lf. * î » l
Klfnt'l /•"- ^(«WtffU, ^W*^^!!!!1"
l' ih c *•&*<, c c -r ii W t/i M ie .t o T
fA ' l n c K r ; i l
: f- * U Indsc-iil, *,5 v'lildioscal -t
•
t f-' 'Ui, ^TcaMHtficjysttfliatiw. .
' <nmmz £ -? T: &%$ tl &
, |n|| .i"t*a<,
^'i ; ^x.So - t t t f i f , , idiosr.-il
. '
!'.<n>|-. M*B*;*nSo
, «JE Arabie et al. (1987), fc^O'Ten Hc-tgc. H c k k r t .
Kicrs (|!)!)'D I C f c ^ T , ^^'JCO 3 x y h *<!)', ö ilTi.' 4
0iVlYiU. Idioscal -t
:'.J:*,
li^-l-'>i^^iL. IH'.'j. »^ U Tucker 2 O
'J XA*<1di..:,,-.ii i ; - u. u: >r-t l r <, <i'^-c*>5 c i ^/j< L T ^ 5 „ C C T t i ,
K~3<r>=i / y h «-»a!-*- 4/: J6 te, idiosc.-iM
Indscjil
' '. -lli'i'i.'
tt|. Hftito < J;
«^<«Wifn
hiiosr.il t f ' K f t t f i L T I i .
U 5 i - V . i .
r4«4M
|.'.|.t:'
• "
v'1 M*'1««»
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tt*)<>. •
/?
J[!!]Wi^-ïttff|! - ''"'i'-T'è, frfcf' t > 6 / ' W - 7 ' l c ^
•S„ AlAi'L, KKIltt 6 Control ttKWROMMi Chronic I'.-iin UtiM l
', KS1 (Repetitive-Stnin-Injury) Pain ttimttKXfttt{
KW. ^'f b" ^ b Ai i') Cr4'IK
rtlJl4>LT&
t<
l i i d s r . i i i - ' H c ü W f f r - S - f r - i i . * J * 5 J ; * C t i - • -tn-P'n^'^it4
t?*>* ») «fc L tt fr-, fc c i, Alc/i<LA:t
T, A t . d u i ") l." Idiosr.il '
A 4 UJkwcal i . 'i ' Indscil > - ' ' «W '
• of Subject
( n n l r n l C h r n t u c l ' . i i n l ' h r o n i r l ' . n i i ( ' o n t r o l Control ( h u n n e l ' . i l ï l Control
RSI l'.m, K S I l ' . i i n C h r o n i c l ' . n i i RSI l';mi RSI I'.nn C l i o n i i l ' . n n Control Control K S I l ' . n r ,
Idio Subject w . (U) L»
V I l . i
.20 .22 .25 18 .22
.66 00 O.'i
.41 .23 .24 .50 14 .06
.42 .32 .27 1!)
:M i , i i
.52 .24 l . i
41 12
.47 .08 .30 .0808
Oil .04 M i '
(U)
.82 .64
46
. 4 4 . 1 3 70 41 44 44
M
ui
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S l l l i | r c 1 \ \ .
U . l ) «
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.38
37 13 31 .0!) . 2 9 I I I .28 .02 .24 14
.07 16 38
II!)
. 1 6
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08
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r'-9 . K
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C i (i, tt„ /,.
1C 7* n 7 <-JI>« f- ?ICjT-t LT Tucker i.
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Parafac * / n . <i - f i | l | |
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<nWfli ' >. i 'C ». - ^i i. ' c. i .
:
)«jgéF
f- 9WifrH\e>7a 77
! , i
i:'fi!/i»r„ä|(Wfii -
'< V
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;^ 'J r T- à «f
Kionnrnl.
X Mt
A i a l u e . l ' , C a i i o l l . J D, & DeSatbo. W S ( 1 9 8 7 ) . Thrci-miv sailing, ««</ n;.i; He\ e r l v H i l l s . ( A '
Hcutlcr. I ' M . * l .cc. S V ( 1 9 7 9 ) . A s t a t i s t i c a l d e v e l o p m e n t ol three mode I . K loi . m . i l v s i s H n / i s l i Journal «I Mulhi'tniitiftil mul Slu/is/inil I'svc/ioloxv. 32, 87 101
H i o u w c r I ' . X' kroonenheit;. l ' M ( 1 9 9 1 ) . Some noirs o n I h r c l i . : i o n o l r x l r n d r i l r o t r m a t i n e s Jimninl ol Cliissi/ii'ii/ioti. <S'. 93 98
B u r d i c k . D S (199S). A T I i n t r o d u c t i o n to lensoi products w i t h a p p h c . l i i o n s to m u l l i w a v d . i l , i a n a l y s i s ('hi'tnonit'trii's anil InlrlliKi'til l.nhi>t<itor\ Svali'nr-229 237.
( ' a t h c r . A. cK- K t o o n r u h r i v . . I' M ( 1 9 ' H i ) . D r i o n i p o s i l i o n s and b i p l o l s in tlircc w a y ' orrcspondciK c a n a l y s i s l\\chimn'ttikd. d I
( ' a i i o l l . I I ' X1 C h a n t ; . I I ( 1 9 7 0 ) A n a l y s i s of i n d i v i d u a l d i f f e r e n c e s in i n t i l l i
d i m e n s i o n a l scahiu; v i a an N way t ; c n c r a l i / a t i o n of " I ' j k a i l V o u n t ; " de< 0111 position l\\chomrlnk<i.'.Ui.2H'.\ : t l 9
C a i i o l l . J . D . . A Chants'. .1 .1 ( 1 9 7 2 ) . //)/(>.SV.1 / 1 wm'xihxitwn <>t IMWM..
iilloH'inK iniO^vni'ulii i i ' l i ' t i ' i i i i xvs/cw, us U'cll us uti iinulvttc <it>t»'<ninui linn to l,\'l)S( AI. l'apei p i e s e n l e d al the Spnnt; M e e t i n g of the I'syclionirt
l i e S o c i e t y , 1'micelon. N e w .leisev
P ' t a n c , A (199:!) i'.luili- nlnchin/ui' </cs niHltildhlrdu*- Afifiorl* tic I'tilwbrc trnsn
nt'lli' Thèse l ' n i y e i s i l é d e M o n t p e l l i e r I I . F i a n c e
( . a b i i c l . K R. ( 1 9 7 1 ) The hiplot «eowraphu al d i s p l a y ol i n a l i i i c s \ \ i t h a p p h i a
lion« to principal components niomcinkn. :>s. i ; > : t 167.
( . a l i i i e l . K l\ ( K I H 1 ) . H i p l o t d i s p l a y of i n u l l u ai l a t e i n a l r i c c s lor i n s p e c t i o n ol d a t a and diai;nosis In Y I t a i n e l l ( I'.d \ Intfipit'tuin niulliruruiti• tlutii . pp
H7 173), Chicester, ri< \ \ i i e \
l l a i ' . h i n a n . K A, X' DeSarho, W S ( 1 9 8 1 ' . An applu alion of 1 ' A R A K A C to a s m a l l sample p i o h l r i n . d c i n o n s l i a l i n t ; p i e i ' t ' o c essint;. o r t h o K o i u i h U c o n s t i a i n l s . a n d s p l i t h a l l d i a g n o s t i c t e c h n i i i i i e s I n I I ( , l a « . C \\ Snvder. Jr., J. A l l a l t i e . X- K I' M c D o n a l d ( K d s \ A'CMV/IC/I mrtlioils lor mullimotlc tltilu
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l l a i s l i i n a n . K' A . ,<> l . u n d v . M !•'. (198.1hl. Data preprocessing and t h e e x l r n d r d 1 ' A R A K A C model In 1 1 1 , L a w . C \V S n v d e r . l i . .1 A l l a t t i e . \- R P. M c D o n a l d ( K d s ) . Ki'sctniii mclhoi/s Im mnltimotli' ilnla mtulvsis (pp 28/1). New Y o i k Prat)
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1:, ( i ' l ' ) (
Kroonenber«. l' M • ; • { ¥ , # > , (198.',) Tneker 2 -t f 'KCÜ &&*$$&$] 7- 9 »
»rTr **W1*»fAfr«ft, /M. I 7.
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Abstract
Three-Way Data Analysis and Us Recent Developments
Pu r K R M. KROONI NIII-RC.
Leuten l'ntretsth'
HISAO M I Y A N O
('hihn
In this papei. I h t e e w a y (l.il.i , i n . i l \ M S m e t h o d s .in- r e v i e w e d and explained
Ironi the viewpoint ol T u c k e t models A simple description of ;i three vv.iv d a t a
set is followed by an introduction ol t y p i c a l Tucki-r models. including the
Tucker 2, Tucker H. and l'aial.ic models Next the (-slimation alKonthni d e x e l
oped liv KroonenheiK is explained somewlial in d e t a i l especially loi the Tucker
3 (or Tucker 2) model, alon« w i t h discussions on pn-pnx c-ssin« ol U n . '
d a t a The algorithm is then applied t o growth curve data to show w h a t infor
Illation is obtained l>v t l u e e w . u d a t a a n a l y s i s The linal i devoted to
|| d e v e l o p m e n t s in three w a v d a t a analysis
Key w o i d s Ihicemode l h r e i - « a \ model, individual dilleiences scaling
model, a l t e r n a t m i ! leas! sipiaies e s t i m a t i o n , g r o w t h c u i \ e d a t a .
MTMM d a t a
