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COMPONENTS

IN

REPEATED MEASURES DESIGNS

Hans-Magne Eikeland

UNIVERSITY OF OSLO

1973

(2)

REPEATED MEASURES DESI

1

1965 1966

1969 )

s d bl

no

By

Mo t

(S 1954

Moore 1963

on i mo to

occur

"It

(3)

not

c c

onnec

c 1941 )

k

c

on

of

c c t

(

to one can

c e on

t i

t i

d

em

1970)

e

(4)

A

c

measures 5

s de TABI1E 1

T1 T2

ss

5 1 6 4 0 4 0

b 4 2 6

c

0 1 0

:3

'7 .) 6 0

4 6 R 4· 5

d 1 5 6

3 3 6 0 To 20 9

vc

(row) 0 = 5 -I 2( '5) 2 5

) 0 == 5 5 ( 1 '0) 1 '0

) 5 = 5 5,0

0 zero c

1 1 ,j un-

t

d 1

rows i sum score e

p ec d

c sum

p It is more t

(5)

t score tion p

On some

p c c c

t

It is to ze rows

c ons of e

i of

c

5 e

e-c s

v

= 4 ov 1

v 2,5

The e rows is c be

c i

0 rrhe re row c

anc p ons 5 ( 5)=

5 0 or 4 0 ( 1 ) 5

ze score e

e 0

e ore 0

(6)

V( )

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It

p TABLE 1

One

score

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uncommon

no dou

s i c

d

is on

to ve en

AN OVA

i

t c

'FADLE 1

TABJ~E

The more c c

(7)

more

s The

e

It c

more c order

on

same

rows

c

t to cone more

score

sum

on en

it ore

e score

(8)

t 1 It

2

49 50

GURJ~ 1

onunon

0

k'

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( 1 960)

p

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GURE

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(9)

ourc

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46 223 11.

0

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( 19 )

4 49 49 49

t

+ + 4

ved

1 J

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1 'Z _) 4 55

3 1 1 39

0 49

5 46

p

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3 MS'

t

(10)

e sum 4

ANOVA en

ons

is sum

ons Source C

look TABLE 3

c

It

(11)

rst the es of c ons of ed. ~Phe sum score

is o on ore

( 1 1 + 2 + 1 + 2 ) ( 1 )

(1),16 s c e 0

es one 1 c

c 3

c ( ) co-

The bo

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sponse

c e c

T11 rp12 T21 T2

T11 v T12

1 v

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:

re ,but not e of c

( 4

1

t

(12)

TABJ~E 4

t

0

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+

v + As

one

on

The e

v v

b N

- ---

v

d

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e

sum score so t is 1/k

v

or 1/k

sum ore ro

c

e p

sj on

ons

c on

se 1 c

.L (

1 + 12 1 2

2: (

1 12 + 1

( 1 1 2 1 +

( 5 ) ( 6) ( 7)'

e was the

to

)2 )2 )2

by sum ons

i e

i e be

AN OVA

sum score

e

(2)

( 3)

(4)

i

( 5) (6) (7)

(13)

st

( r7) one

~f

v (4) (8) (9)

e

s of

e

(10) one

ourc

s

TABIJ~i 5

c e

e 4

e

es c

ons (5),(6)

0

MS'

on

c ons

( 8) (9) ( 10) 3

(14)

TABI,E 5 t t

c tions of

e =

s i v

cruci e

as e

c

A B

c

(P,PS PR)

v ) c )

v +

t

s c

c A or

PS t i not so

d it i

c p

d

A d

o sources

( 1969 )

It PH

the

to e c

(15)

as so on l ons e

A c

d

c tions

,on

e some

PH

one d s

e i i

row

He

11 1 21 22

1 1 1 556 3 161 7 044 4 55 12 3 161 11,556 4 552 7 044

1 7 044 4 55 11,556 3 161

2 1 1 556

c

e e

TABLE 6

(16)

ance-c c

be een

c

TABLI~~ 7

1 1

1

1

4 55

2

e

c

e be

sum

TABLE '7

1 '391 4 552 492 1 391

,903 4 552

s 0 e

ec on

s

1 d

e

e i cons

1 391

(17)

i

a sum

By c

It i

sa;ne

v

p

c s 4 5 903 + 8

en -11 rp

1 391 + t3

sum

5 903 + 2 1 ~391 + 2 2 4

to no

ore mo

e

by

1

ean

TABLE 7

4 + 16 4 55 - 105 25 +

4 4

552 6 313

t Al\fOVA

(18)

0

to

The on o:f

5 903 I 4

0 2 + 0 189

e tt

cl sum. score

on

2 + 18' 208

0 106 + 0 692

t

on c

26 313 1 000

s c

sum ore scores

c

t sum

c

should c

ore

t ve

ore

d SUJTI to st

c-:> + 2 1 391 + 4,55 -- 11,556

0 511 + 0 216 0' 120 + 0 394 1 000 t e

on 0 394)

c PS c

,o

394 0 120

o,

74'

monos

c - 0 + PR

c 0 394 + 0 0 610,i

e st c -- 0 603)

t

(19)

reason

It

po

i

AtTOVA

The

e e

s

t do c

c

compared s

of

t 0 connec

on

0 394

s are not

i same

on

be

p

p d

e

0

PS,

,i

e

c on

t

maJ{e it

7,

0

(20)

PR TABLE 5

0,297

At some 1 com-

c

1 t

on

(21)

Osnes (1971) ons

c

re Osne

are

no c

( )

no cone

to s

on errors on

no on

e

c

k'

OS

e

i

t

on

ons

1

on )

(22)

s j_s 24 2

on de

d measures de ,as can en TABLE 8

s d

A1 X X X X X X X X X X X X

A2 _{\ v X X X X X X X X X X X

.,.11'1

3 X X X X X X X X X X X

X

X

A

no of

s here is

the s

c

t

Bock s

c e

c

the sent Thi erence be en

no c e on of the

(23)

c to be c d the s

can be seen TABLE 9, s

s are

~~ABJ~E 9

I ('1971 ) MJOVA

Source

ss

A 4081 1 23

B 76 1 1

c

224 0 1

AB 524 1 3

AC 231 9 23

BC 1 1 1

ABC 693 0 23

D(ABC) 2730,0 192

To 8561,3 287

e

c sources of

s

) )

( ) + +

I

( ) T ( )

to cone

c ch was

the sarne s ones,

177 439 76 100 2

,ooo

22 787 10 084

1 100 30 130 14 219

+ 6

cone

scus

ANOVA resul c

vc

14,558

1,224 341 5 304 14 219

(AB) (AC)

mo

c on

of ,one

0

t

of th e

(24)

(

c

or

c

d

cons

c

c

c

0

e

s

c

s to

c by c

0 or

t

on

t

es

,or

lower

found

on on

(25)

,067

,206 14

on

(26)

c

ar1ce c seem

a i

to c s be

c ANOVA least e

d measures de"')~F-,L!.>J i t can be{shown

c e c

e A

sources

d terms

measure s

to ace

i even e mean

c

c

t de

c ance c

s ble to

c t

e o:f de t some o:f

c

on

,bo i t

ch

eem c

d

ear

e

om-

0 t

(27)

ci c

er,G C , ore

1965,

,H E.

of

H

1959

re

ec c

e c

70 ..

,N source of

Holt

01Tl

)

Conce 1 t

es 1963,_2_,441 10

ected ANOVA ,204 13

1970

e

ton 196

or by

'311

8c

e

c e

Referanser

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