sat suite o f assessme nts ess eport - maine.gov web pages 16-17/general...inter-rat inter-rate the...
TRANSCRIPT
Statistical R
SAT Suite o
SATEss
Main
SAT
April
2017
Report
of Assessments
AT Susay R
e
Schoo
2017
s Essay Report
uite oRepo
l Day A
of Asort
Adminis
sses
stration
sme
n
ents
Page 1 of 2
4
Statistical R
SAT Suite o
Exec
This reMaine statistiinter-ra
Report
of Assessments
cutive S
eport summaduring the Acs and frequater consiste
s Essay Report
Summary
arizes the peApril 2017 aduency distribency.
y
erformance odministrationbutions, and
of 12,894 stun. This reporcorrelations
udents who rt is a summs of essay di
took the SAmary of descr
mension sco
AT Essay in riptive ores, and
Page 2 of 2
4
Statistical R
SAT Suite o
Table
SAT Sui
SAT Es
Charact
Test for
Descrip
Essay A
Momen
Intercor
Reliabil
Standar
Tables...
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6Rater....
Table 7
Table 8Evidenc
Table 9
Table 9
Table 9
Table 1
Table 1Dimens
Table 1
Table 1Gender
Report
of Assessments
of Cont
ite of Asses
ssay....................
eristics of t
rms included.
ption of the an
Analyses......
ts and Score
rrelations.........
ity and standa
rdized differen
........................
. Essay Dime
. Descriptive
. Frequency D
. Frequency D
. Frequency D
. Frequency D
............................
. Correlations
. Correlationsce-Based Rea
a. Cross-tabu
b. Cross-tabu
c. Cross-tabu
0. Inter-rater
1. Inter-rater sion.....................
2. Inter-rater
3a. Essay Dimr Groups..........
s Essay Report
tents
ssments.....
............................
he Adminis
............................
nalysis sample
.......................
Distributions
............................
ard error of m
nces between
.......................
ension Score
Statistics for
Distributions o
Distributions o
Distributions o
Distributions o............................
s of the Three
s between theading and Wr
ulated Score D
ulated Score D
ulated Score D
Agreement b
Reliability (Pe............................
Consistency
mension Sco............................
........................
............................
strations of
............................
e.........................
........................
............................
............................
measurement
n groups.........
........................
Descriptions
Essay Dimen
of the Three E
of the Three E
of All Possible
of All Possible............................
e Essay Dime
e Reading Tesriting (ERW) S
Distributions
Distributions
Distributions b
between the T
earson Corre............................
(Kappa) betw
re Mean, Sta............................
........................
.............................
the SAT.....
.............................
.............................
........................
.............................
.............................
.............................
.............................
........................
and Score Ra
nsion Scores..
Essay Dimen
Essay Dimen
e Combinatio
e Combinatio.............................
ension Scores
st Score, the Section Score
between the T
between the T
between the T
Two Raters fo
lations) betwe.............................
ween the Two
ndard Deviati.............................
........................
............................
........................
............................
............................
........................
............................
............................
............................
............................
........................
anges..............
............................
sion Scores..
sion Scores b
ons of the Thr
ons of the Thr............................
s...........................
Writing & Lane, and the Dim
Two Raters fo
Two Raters fo
Two Raters fo
or Each Dimen
een the Two ............................
o Raters for E
ion, and Stan............................
........................
............................
........................
............................
............................
........................
............................
............................
............................
............................
........................
............................
............................
............................
by Rater..........
ree Essay Dim
ree Essay Dim............................
............................
nguage Test mension Scor
for Essay Rea
for Essay Ana
or Essay Writ
nsion.................
Rater Scores............................
ach Dimensio
ndardized Diff............................
.......................
............................
.......................
............................
............................
.......................
............................
............................
............................
............................
.......................
............................
............................
............................
............................
mension Scor
mension Scor............................
............................
Score, the res on Essay.
ading Score...
alysis Score...
ting Score......
............................
s for Each ............................
on.......................
ference betwe............................
Page 3 of 2
.......5
..........5
.......6
..........6
..........6
.......6
..........6
..........7
..........7
..........8
.......9
..........9
.......10
.......11
.......12
res.13
res by .......15
.......16
.......16
.......17
.......17
.......18
.......19
.......19
.......19
een .......20
4
Statistical R
SAT Suite o
Table 1Racial/E
Bibliogra
About th
Appendi
A1. Pea
A2. Per
A3. Sing
A4. Sing
A5. Sing
A6. Sim
A7. We
Report
of Assessments
3b. Essay DimEthnic Groups
aphy/Refere
he College
ix A: Correl
arson product
rcentage of ag
gle-rater relia
gle-rater varia
gle-rater Stan
mple Kappa Co
ighted Kappa
s Essay Report
mension Scos..........................
ences..........
Board..........
lation Indice
t-moment cor
greement........
ability coefficie
ance..................
ndard error of
oefficient........
a Coefficient..
re Mean, Sta............................
........................
........................
es and Reli
relation coeff
............................
ent......................
............................
f measuremen
............................
............................
ndard Deviati.............................
........................
........................
iability Estim
icient.................
.............................
.............................
.............................
nt.........................
.............................
.............................
ion, and Stan............................
........................
........................
mates..........
............................
............................
............................
............................
............................
............................
............................
ndardized Diff............................
........................
........................
........................
............................
............................
............................
............................
............................
............................
............................
ference betwe............................
.......................
.......................
.......................
............................
............................
............................
............................
............................
............................
............................
Page 4 of 2
een .......20
.....21
.....22
.....23
.......23
.......23
.......23
.......23
.......23
.......23
.......24
4
Statistical R
SAT Suite o
SAT Su
The SATdesignedassessmMath secTest), twsubscoreConventiMath). Fochoose toconcerns(ERW) a
SAT Ess
Test taketesting seprompt, o
A
Wpactheex(C
Two readWriting. UEnglish, test takedetails. Tthe authopersuasio
Report
of Assessments
uite of As
T Suite of Asd to measure
ment comprisction), three o cross-tests
es (Commanions, Heart oor the SAT, o also take ts the Essay, nd Math sec
say
ers opting toession to resor a nearly id
As you read t
eviden
reaso
stylistemotio
Write an essaersuade [hisuthor] uses hoice) to strehat your anassay shouldxplain how tCollege Boa
ders score eUnscorable ereceive a scr understood
The Analysisor builds an on. A high W
s Essay Report
ssessmen
sessments (e student reases two sectitests (the Rs (Analysis i
nd of Evidenof Algebra, Ptest takers athe optional although an
ction scores.
take the SAspond to thedentical one
the passage
nce, such as
ning to deve
ic or persuaon, to add p
ay in which ys/her] audienone or moreengthen the
alysis focuse not explain
the author burd, N.D.)
each essay, aessays, suc
core of 0. Thd the passags score reflecargument, in
Writing score
nts
(SAT, PSATadiness for cions (the Evieading Testin History/Soce, Words in
Problem Solvare given thrEssay are g
nalyses mak.
AT Essay rece essay. A pr, is used eve
e below, cons
s facts or ex
elop ideas an
sive elemenower to the
you explain hnce that [aute of the featu logic and pes on the mowhether you
uilds an argu
assigning a h as those te Reading sge, includingcts evidencencluding the e is given to
T/NMSQT®, college and idence-Base, the Writingocial Studiesn Context, Eving and Daree hours to given an addke use of the
ceive an addrompt appeaery time:
sider how [th
amples, to s
nd to connec
nts, such as ideas expre
how [the autthor’s claim].ures listed abersuasivenest relevant fu agree withument to pe
score from 1hat are off-toscore assessg the interplae in the essa
author’s useessays that
PSAT™ 10,postsecondaed Reading ag and Languas and Analys
Expression oata Analysis,
complete 15ditional 50 me Evidence-B
ditional 50 mars with ever
he author] u
support claim
ct claims an
word choicessed.
thor] builds a. In your essbove (or fea
ess of [his/hefeatures of thh [the authorrsuade [his/
1 to 4 to eacopic or writteses the evideay of the maay that the tee of evidencare focused
, and PSAT™ary educatioand Writing age Test, ansis in Scienc
of Ideas, Stan and Passpo54 items. Te
minutes. ThisBased Read
minutes at thery essay tex
ses
ms.
d evidence.
e or appeals
an argumensay, analyzeatures of youer] argumenthe passage.r’s] claims, bher] audienc
ch of Readinen in a languence in the ein themes a
est taker undce, reasoningd, organized
™ 8/9) is on. Each section and
nd the Math ce) and sevendard Englisort to Advanest takers wh report primaing and Writ
e end of thext. The follow
to
t to e how [the ur own t. Be sure . Your
but rather ce.
ng, Analysis,uage other thessay that thnd the impoderstands hog, and , and precise
Page 5 of 2
the
en sh ced
ho arily ting
e SAT wing
and han he rtant ow
e;
4
Statistical R
SAT Suite o
that showthat have
For eachessay a sscores thscore of
This repoReading,scores ex
Charac
Test for
This repo2017. Te2017 SAacross a
Descrip
Before cothe test aSAT Suit2017, forlanguage
A score oin this refrequenc
Essay
Moment
Test takeskewnesscores. Acombinatoccurrenscores. SThese ra1), secon
Report
of Assessments
w a commane a variety of
h dimension,score of 0, ohe Essay. Th0 on one dim
ort contains , Essay Anaxamined in t
cteristics
rms include
ort summarizest takers weT Essay tesll forms and
tion of the
ompleting thadministratiote of Assessr the frequene and gende
of 0 is assignport (e.g., M
cy distribution
Analyses
ts and Sco
er performanss, and kurtoAll possible tions for threce, provides
See Tables 2ater sets are nd (Rater Se
s Essay Report
nd of languagf sentence s
the two rateor the two rathe third ratermension, the
information lysis, and Esthis report.
of the Ad
ed
zes the Essaere given twot. This reporall prompts)
analysis sa
he analyses on was cleansments Admincy of test taer.
ned to unscoMoments, cor
n of scores (
s
re Distribut
nce is descriosis), and frecombination
ee dimensions full informa2-6 for thesean aggrega
et 2), or third
ge, includingstructures an
er scores areters’ scores r’s score is den it is score
about the thssay Writing
dministrat
ays associato SAT formsrt summarize).
ample
contained inned to excludinistration R
akers in the i
orable essayrrelation, and(including al
tions
bed using dequency distns of the thren scores), a
ation on the je results. Notion of score
d (Rater Set
g the convennd consisten
e added to fodiffer by mo
doubled to yed 0 on all th
hree essay dg. Table 1 lis
tions of th
ted with the s. Three promes the data a
n this report, de any studeeport, Mainetem analysis
ys, so a scord inter-rater l three dime
escriptive stributions of see essay dimlong with thejoint distribu
ote that in sees across all3) score.
ntions of stant, precise w
orm the scoore than oneield the scor
hree dimensi
dimension scsts the descr
he SAT
SAT test formpts were aat the overa
the sample ents not in ge SAT Schos sample for
re of 0 is notreliability an
ensions).
tatistics (i.e.,scores for a
mension scoe frequency ution of the theveral tables l raters who
ndard writteord choice.
re. If one rate point, then re. If an essaions.
cores, specifriptions of th
rms adminisadministeredll level (i.e.,
available atgrade 11. Seol Day Admir this admini
t included innalyses), exc
, mean, stanll three essa
ores (512 posand percent
hree essay d‘Rater Setsprovided the
n English; a
ter gives an a third rateray receives
fically Essaye three Essa
tered in Aprd in the April aggregating
t 38 days aftee Table 3 ininistration, Astration by f
n all the analcept the
ndard deviatay dimensionssible tage of dimension ’ are mentioe first (Rater
Page 6 of 2
and
r a
y ay
ril
g
ter n the April first
yses
ion, n
ned. r Set
4
Statistical R
SAT Suite o
Intercor
The Pealinear relcorrelatio
Reliabili
Reliabilityperson oobservedmany reainclude sother facof the prowith reliaother han
If the relimeasurescores. Upresentemargin oAppendix
Inter-rat
Inter-ratethe stabiraters wereliabilitythat at leraters ca
Percenta
Percentanumber oordinal aadjacent agreemetake into (Hallgren
Report
of Assessments
rrelations
rson producationship be
ons is in App
ity and stan
y refers to thor object. In td scores on tasons a perssituational vactors. If we cooportion of th
ability estimand, reliability
ability estimment (SEM)
Unlike reliabed in the unitf error arounx A5 for the
ter (single
er reliability ility of the Esere to score y coefficient cast two raten be estima
ages of agre
age of agreeof agreemennd interval d– where rat
ent, used as account agr
n, 2012). See
s Essay Report
t moment coetween two ependix A1. S
ndard error
he consistenthe context othe essay dison may scoariables, the onsider theshe measure
ates near 1 iny estimates n
ate indicates) can be conility estimate of measurend the obserformulas).
rater) relia
s the reliabilssay scores the same Escorrespondsrs score the ted.
eement
ment is an innts divided bdata, perceners are off bmeasures oreements due Tables 9a-
orrelation coessay or rate
See Tables 7
r of measur
ncy with whicof this reportimension scoore higher or
particular pase fluctuationment that is ndicating conear zero wo
s consistencnsidered a mes, which areement of the rved score. T
ability
lity of a singacross raterssay for a tes to a single
same Essa
ndex of interby the total otages of clos
by 1) can alsof inter-rate aue to chance-10 for these
oefficient proer scores. Th7 and 8 for th
rement
ch an instrumt, reliability reores, given nr lower on thassage assons in scoresnot errors. Rnsistent meaould indicate
cy of measurmeasure of ine standardizobserved sc
The SEM is
le rater scorrs: How mucest taker? Jurater, the esy for the sam
r-rater agreeobservationsse-but-not-e
so be compuagreement. Te. Therefore e results.
ovides an evahe formula fohese results
ment measurefers to the no change in
he Essay tesociated with to be errors
Reliability esasurement we fairly rando
rement, the nconsistencyzed to range core. The SEinversely re
ring the Essach would theust as with Estimation of me examine
ement. It can(see Appen
exact agreemuted and, aloThe percentit overestim
aluation of thfor calculatin.
ures some atconsistencyn actual abil
st on any givthe Essay, a
s, then reliabstimates ranwith very littlom estimate
standard ery in test takefrom 0 to 1,
EM represenlated to relia
ay. This reliae results diffeEssay reliabil
inter-rater ree. Then the
n be expressndix A2 for thment (e.g., pong with perctage of agree
mates the lev
he pairwise ng the Pears
ttribute of a y of test takelity. There ar
ven day. Theand a numb
bility is an indnge from 0 toe error. On ts of the attri
ror of ers’ observed, the SEM isnts the averaability (see
ability focuseer if two diffelity, althougheliability requreliability of
sed as the he formula).
percentage ocentage of eement does
vel of agreem
Page 7 of 2
son
ers’ re
ese ber of dex
o 1, the bute.
d s age
es on erent h the uires f the
For of exact
not ment
4
Statistical R
SAT Suite o
Correlati
Correlatioscores iscorrelatio
Simple k
Cohen’s inter-ratetwo raterobservedexpectedformula fCohen’s indicatingfor these
Weighted
Weightedagreemepenalizinpenalize for calcuresults.
Standar
The test describedmean difmean difand 13b
Report
of Assessments
ion coefficie
on coefficiens a measure on coefficien
kappa statist
kappa coeffer agreemenrs while takind agreementd by chance for calculatinkappa coeffg complete r
e results.
d kappa stat
d kappa coeent between ng the disagr
the disagreelating weigh
rdized diffe
taker perford using the mfferences befferences eqfor Essay sc
s Essay Report
ent
nt between tof the inter-
nt is in Appen
tic
ficient (simplt between tw
ng into accout is defined bis defined b
ng Cohen’s kficients rangrandom agre
tistic
efficient (Cohtwo raters wreements. It ement are cted kappa c
rences bet
mance for smean and sttween the foual to 0.20 acore subgrou
the scores grater consisndix A1. See
le kappa stawo raters. It unt the possby cross-taby the margin
kappa coeffice from -1 to
eement, and
hen, 1968) iswhile correct
can be applomputed baoefficient is
tween grou
ubgroups, wtandard devocal and refeare small, 0.up moments
iven by two tency. The fe Table 11 fo
atistic; Cohencomputes th
sibility of agrulating ratingnal frequenccient is give1, with 1 ind -1 indicating
s an alternating the posslied to ordina
ased on the mgiven in App
ups
with samplesiation for all
erence group50 are medi
s and differe
raters on thformula for cor these res
n, 1960) is ahe observedreement occgs of the two
cies of ratingn in Appenddicating comg complete d
tive statistic sibility of agral ratings anmagnitude opendix A7. S
s greater thaEssay score
ps. Cohen (1ium, and 0.8nces.
e same essacomputing thults.
a statistic thad level of agrcurring by cho raters, and
gs from eachdix A6. Possmplete agree
disagreeme
that measurreement by cnd the weighof disagreemSee Table 12
n or equal toes and the s1988) sugge80 are large.
ay dimensiohe Pearson
at measuresreement betwhance. The d the agreemh rater. The ible values fment, 0 nt. See Tab
res the inter-chance and hts used to ment. The for2 for these
o 200, is standardizedests standard See Tables
Page 8 of 2
on
s the ween
ment
for
le 12
-rater
rmula
d dized s 13a
4
Statistical R
SAT Suite o
Tables
Table 1.
Score
DimensScores
Rea
Ana
Wri
Note. Eac
Report
of Assessments
s
Essay Dim
sion
ading
alysis
iting
ch dimension
s Essay Report
mension Sc
What the sc
Compre
Unders
Correct
Use of t
Insightf
Evaluatpersuas
Relevan
Consist
Cohesiv
Effectiv
Variety choice;
Commafreedom
score is the s
core Descri
core reflects
ehension of
tanding of c
tness of inte
textual evide
fulness of an
tion of the ausion
nce and suff
tency of focu
veness; com
veness of pro
of sentencestyle and to
and of convem from errors
sum of two ra
iptions and
s
source text
entral ideas
rpretation of
ence
nalysis of so
uthor's use o
ficiency of su
us on releva
mmand of the
ogression of
e structures; one
entions of stas
ater scores, ea
d Score Ran
f text
urce text
of evidence,
upport for cl
nt features o
e language
f ideas throu
preciseness
andard writte
ach ranging fr
nges
reasoning,
aims
of the text
ughout the es
s of word
en English;
rom 1 to 4.
Scale
2 -
and
2 -
ssay
2 -
Page 9 of 2
e
8
8
8
4
Statistical R
SAT Suite o
Table 2.
Score
Reading Rati
Rati
Dim
AnalysisRati
Rati
Dim
Writing Rati
Rati
Dim
N
Note: Zerodimensionone point,score.
Report
of Assessments
Descriptiv
ng 1
ng 2
ension Sco
s ng 1
ng 2
ension Sco
ng 1
ng 2
ension Sco
o dimension sn, the two rate, then a third
s Essay Report
ve Statistics
ore
ore
ore
scores were eer scores are rater scores t
s for Essay
excluded fromadded to form
the Essay. Th
y Dimensio
Mean
2.38
2.38
4.77
1.75
1.75
3.49
2.31
2.31
4.62
12,572
m the computam the score. Ihe third rater’s
on Scores
SD
0.72
0.70
1.26
0.77
0.76
1.37
0.74
0.73
1.32
12,572
ation of all fouIf the two rates score is dou
Skewnes
-0.31
-0.31
-0.37
0.57
0.57
0.49
-0.26
-0.27
-0.33
12,572
ur moments. ers’ scores difubled to yield
ss Kurto
-0.3
-0.3
-0.3
-0.6
-0.6
-0.7
-0.5
-0.5
-0.6
12,5
For each ffer by more tthe dimensio
Page 10 of 2
osis
37
36
39
61
63
79
55
56
60
572
than on
4
Statis
SAT S
tical Report
Suite of Assessm
Table 3.
Score
0
2
3
4
5
6
7
8
Total
ments Essay Re
Frequency
Ess
Frequen
322
744
1,097
3,352
3,097
3,781
439
62
12,894
eport
y Distributi
say Readin
ncy Per
2
5
7 8
2 2
7 24
29
3
0
4 10
ons of the
g
rcent F
2.5
.77
.51
26
4.02
9.32
3.4
.48
0.00
Three Essa
Essay A
Frequency
322
4,315
2,211
2,979
1,884
1,030
143
10
12,894
ay Dimens
Analysis
Percen
2.5
33.47
17.15
23.1
14.61
7.99
1.11
0.08
100.00
sion Scores
t Frequ
32
1,0
1,2
3,4
2,8
3,4
40
3
0 12,
Page 1
s
Essay Writ
uency
22
084
258
414
883
490
04
39
894
1 of 24
ting
Percent
2.5
8.41
9.76
26.48
22.36
27.07
3.13
0.3
100.00
Statistical
SAT Suite
Table
Score
0
1
2
3
4
Total
Note. Ra
Report
of Assessments Es
4. Frequency
Rater Set
Frequency P
312
1,388
5,349
5,528
317
12,894 1
ater Set is an agg
ssay Report
Distributions
Essay Reading
t 1 R
Percent Frequ
2.42 33
10.76 1,2
41.48 5,4
42.87 5,5
2.46 29
100.00 12,8
regate of results
of the Three E
g
Rater Set 2
ency Percent
31 2.57
97 10.06
32 42.13
39 42.96
95 2.29
894 100.00
across all raters
Essay Dimensi
Rater S
t Frequency
312
5,467
4,875
2,112
128
12,894
providing the first
ion Scores by
Essay Analys
Set 1
Percent Freq
2.42 3
42.4 5
37.81 4
16.38 2
0.99
100.00 12
t (Rater Set 1) or
Page 12
y Rater
sis
Rater Set 2
quency Perce
331 2.57
5,486 42.55
4,874 37.8
2,088 16.19
115 0.89
2,894 100.0
r second (Rater S
2 of 24
Rater
ent Frequency
7 311
5 1,773
8 5,426
9 5,116
9 268
00 12,894
Set 2) score.
Essay Wri
r Set 1
y Percent Fr
2.41
13.75
42.08
39.68
2.08
100.00
iting
Rater Set 2
requency Per
331 2.
1,724 13
5,454 42
5,138 39
247 1.
12,894 100
rcent
.57
3.37
2.3
9.85
.92
0.00
Statistical R
SAT Suite o
Table 5.Dimens
Essay Reading
0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4
Report
of Assessments
Frequencyion Scores
Essay Analysis
EssWrit
0 02 22 32 42 53 23 33 43 53 64 44 54 64 75 55 62 22 32 42 52 63 23 33 43 53 64 34 44 54 65 45 55 82 22 32 42 52 63 23 33 43 53 64 3
s Essay Report
y Distributis
say ting Frequenc
0 322 2 548 3 118 4 34 5 1 2 6 3 10 4 9 5 4 6 2 4 4 5 3 6 1 7 1 5 1 6 2 2 314 3 394 4 181 5 6 6 3 2 7 3 59 4 59 5 8 6 4 3 6 4 34 5 17 6 1 4 1 5 2 8 1 2 190 3 429 4 963 5 108 6 12 2 13 3 129 4 597 5 133 6 17 3 19
ons of All P
cy Percent
2.50 4.25 0.92 0.26 0.01 0.05 0.08 0.07 0.03 0.02 0.03 0.02 0.01 0.01 0.01 0.02 2.44 3.06 1.40 0.05 0.02 0.05 0.46 0.46 0.06 0.03 0.05 0.26 0.13 0.01 0.01 0.02 0.01 1.47 3.33 7.47 0.84 0.09 0.10 1.00 4.63 1.03 0.13 0.15
Possible C
EssaRead
44444444444455555555555555555555555555666666
Combination
ay ding
Essay Analysis
4 4 4 4 5 5 5 5 5 6 6 6 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 7 8 2 2 2 2 2 3
ns of the T
Essay Writing Fre
4 5 6 7 2 4 5 6 7 5 6 7 2 3 4 5 6 7 2 3 4 5 6 3 4 5 6 7 3 4 5 6 7 5 6 7 7 5 3 4 5 6 7 3
hree Essay
equency Perc
414 3.2205 1.554 0.41 0.01 0.012 0.026 0.223 0.1 0.01 0.03 0.01 0.04 0.051 0.4
300 2.3287 2.248 0.31 0.01 0.028 0.2
268 2.0371 2.875 0.55 0.0
269 2.0591 4.5243 1.8
2 0.02 0.029 0.2
274 2.178 1.3
5 0.016 0.43 0.34 0.01 0.01 0.03 0.064 0.5
120 0.9124 0.9
5 0.05 0.0
Page 13 of 2
y
cent
21 59 42 01 01 09 20 18 01 01 02 01 03 40 33 23 37 01 01 22 08 88 58 04 09 58 88 02 02 22 13 38 04 12 33 03 01 01 02 50 93 96 04 04
4
Statistical R
SAT Suite o
Essay Reading
6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7
Report
of Assessments
Essay Analysis
EssWrit
3 43 53 64 44 54 64 75 45 55 65 75 86 46 56 66 76 87 57 67 72 52 62 73 64 54 64 75 55 65 7
s Essay Report
say ting Frequenc
4 63 5 157 6 184 4 86 5 297 6 680 7 7 4 23 5 191 6 963 7 40 8 1 4 4 5 40 6 650 7 48 8 3 5 2 6 13 7 8 5 2 6 3 7 2 6 2 5 3 6 14 7 19 5 13 6 43 7 49
cy Percent
0.49 1.22 1.43 0.67 2.30 5.27 0.05 0.18 1.48 7.47 0.31 0.01 0.03 0.31 5.04 0.37 0.02 0.02 0.10 0.06 0.02 0.02 0.02 0.02 0.02 0.11 0.15 0.10 0.33 0.38
EssaRead
77777777778888888888888
Tot
ay ding
Essay Analysis
6 6 6 6 7 7 7 7 8 8 4 4 5 5 6 6 6 7 7 7 8 8 8
tal
Essay Writing Fre
5 6 7 8 5 6 7 8 7 8 6 7 7 8 6 7 8 6 7 8 6 7 8
1
equency Perc
1 0.085 0.6
102 0.74 0.02 0.09 0.077 0.67 0.01 0.01 0.01 0.02 0.02 0.01 0.08 0.011 0.06 0.01 0.013 0.10 0.01 0.01 0.05 0.0
12,894 100
Page 14 of 2
cent
01 66 79 03 02 07 60 05 01 01 01 02 02 01 06 09 05 01 10 08 01 01 04
0.00
4
S
S
TD
Ns
Statistical Repor
SAT Suite of Ass
Table 6. FreDimension
Essay
Reading 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4
Total
Note: Rater Sscore.
rt
sessments Essa
equency DiScores by
Essay
Analysis0 0 1 1 1 2 2 2 3 1 1 1 2 2 2 3 3 3 1 1 1 1 2 2 2 2 3 3 3 3 4 4 1 1 2 2 2 3 3 4 4
et is an aggre
ay Report
istributionsRater
s EssayWritin
0 1 1 2 3 1 2 3 3 1 2 3 1 2 3 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 3 4 2 3 2 3 4 3 4 3 4
egate of resul
s of All Pos
y ng
Freq
3
12
621
14
45
62
11
12
lts across all
ssible Com
Rater Se
quency
311 1
,036 258 6 11 61 14 2
677 ,304 193 37 ,551 495 15 76 1 8
463 517 1 2
665 ,015 3 1
107 ,661 63 12 10 1 3 1 17 3 93 93 12 94
2,894
raters providi
binations o
et 1
Percent
2.41 0.01 8.03 2.00 0.05 0.09 0.47 0.11 0.02 5.25 17.87 1.50 0.29 12.03 3.84 0.12 0.59 0.01 0.06 3.59 4.01 0.01 0.02 5.16 15.63 0.02 0.01 0.83 12.88 0.49 0.09 0.08 0.01 0.02 0.01 0.13 0.02 0.72 0.72 0.09 0.73
100.00
ing the first (R
of the Three
Freque
3310
9612616 8 51 8 2
7112,36716831
1,59548418 57 1 12 4225741 1
6592,024
2 0 81
1,68955 12 7 0 3 0 8 3 85 10018 78
12,89
Rater Set 1) o
Pa
e Essay
Rater Set 2
ncy P
7
5
4
9
94 1
or second (Ra
age 15 of 24
Percent
2.57 0.00 7.45 2.02 0.05 0.06 0.40 0.06 0.02 5.51 18.36 1.30 0.24 12.37 3.75 0.14 0.44 0.01 0.09 3.27 4.45 0.01 0.01 5.11 15.70 0.02 0.00 0.63 13.10 0.43 0.09 0.05 0.00 0.02 0.00 0.06 0.02 0.66 0.78 0.14 0.60
100.00
ater Set 2)
S
S
T
Na
Tto
N
Statistical Repor
SAT Suite of Ass
Table 7. Co
Note: Zero scacross all rate
Table 8. Cothe Evidencon Essay
Score
Reading Sc
Writing Sca
ERW
N
Note: Zero sc
Score
N
Dimension
Essay Re
Essay A
Essay W
Rater Set 1
Essay Re
Essay A
Essay W
Rater Set 2
Essay Re
Essay A
Essay W
rt
sessments Essa
orrelations o
ores were exers providing t
orrelations bce-Based R
cale Score
ale Score
ores were ex
Score
eading
nalysis
Writing
eading
nalysis
Writing
2
eading
nalysis
Writing
ay Report
of the Thre
cluded from tthe first (Rate
between thReading an
Essay Rea
0.57
0.57
0.59
12,572
cluded from t
Essay Reading
12,572
1
0.67
0.82
1
0.61
0.75
1
0.61
0.76
ee Essay Di
the computatier Set 1) or se
he Reading d Writing (
ading Ess
2
the computati
EssaAnaly
12,57
1
0.72
1
0.65
1
0.65
imension S
on of correlatecond (Rater
Test ScoreERW) Sect
say Analysis
0.62
0.62
0.65
12,572
on of correlat
ay ysis W
72
2
5
5
Scores
tions. Rater SSet 2) score.
e, the Writition Score,
s Essay W
0.62
0.62
0.65
12,57
tions.
Essay Writing
12,572
1
1
1
Set is an aggr
ng & Languand the Di
Writing
2
2
5
72
Pa
regate of resu
uage Test Simension S
age 16 of 24
ults
Score, Scores
S
S
TS
Ns
TS
Ns
Statistical Repor
SAT Suite of Ass
Table 9a. CScore
Rater S
0
1
2
3
4
Tot
Note: Rater Sscore.
Table 9b. CScore
Rater
0
1
2
3
4
Tot
Note: Rater Sscore.
rt
sessments Essa
ross-tabula
Set 1
tal
et is an aggre
Cross-tabula
Set 1
tal
et is an aggre
ay Report
ated Score
0
8 0.06
6 0.05
2 0.02
0 0.00
0 0.00
16 0.13
egate of resul
ated Score
0
8 0.06
8 0.06
0 0.00
0 0.00
0 0.00
16 0.13
egate of resul
Distributio
1
6 0.05
704 5.60
517 4.11
64 0.51
0 0.00
1,291 10.27
lts across all
e Distributio
1
100.08
4,21633.53
1,1208.91
1291.03
40.03
5,47943.58
lts across all
ons betwee
R
2
4 0.03
579 4.61
3,26125.94
1,56012.41
27 0.21
5,43143.20
raters providi
ons betwee
R
2
8 0
0.0
6 3
1,08.6
0
2,722.
3 957.5
3 45
0.3
9 8
4,838.
raters providi
en the Two
Rater Set 2
3
10.01
740.59
1,53512.21
3,69629.40
2331.85
5,53944.06
ing the first (R
en the Two
Rater Set 2
2
0 00 0
91 68
10
787 17
97
51 56
97
5 36
70
874 77
2,16
ing the first (R
Raters for
4
0
0.0
2
0.0
5 1
30.2
6 0
201.6
5 5
0.4
9 6
292.3
Rater Set 1) o
Raters for
3
0 .00 0
22 .97 0
933 .42 0
961 .64 0
72 .57 0
088 6.61 0
Rater Set 1) o
Pa
Essay Rea
4 T
0 00
2 02
11
0 24
54
06 64
54
7 45
95 35
11
or second (Ra
r Essay Ana
4
1 0.01
2 0.02
54
34 0.27
43
71 0.56
2
7 0.06
115 0.91
11
or second (Ra
age 17 of 24
ading
Total
19 0.15
1,365 10.86
5,345 42.52
5,526 43.95
317 2.52
2,572 00.00
ater Set 2)
alysis
Total
19 0.15
5,439 43.26
4,874 38.77
2,112 16.80
128 1.02
12,572 100.00
ater Set 2)
S
S
TS
Ns
Statistical Repor
SAT Suite of Ass
Table 9c. CScore
Rater
0
1
2
3
4
To
Note: Rater Sscore.
rt
sessments Essa
ross-tabula
Set 1
0
1
2
3
4
tal
et is an aggre
ay Report
ated Score
0
8 0.06
6 0.05
2 0.02
0 0.00
0 0.00
16 0.13
egate of resul
Distributio
1
70.06
1,0538.38
6084.84
490.39
00.00
1,71713.66
lts across all
ons betwee
R
2
6 3
0.0
3 8
645.1
4 3,326.
9 1,411.
0 23
0.1
7 6
5,443.
raters providi
en the Two
Rater Set 2
2
3 02 0
47 15 0
346 .61
1,11
435 .41
3,27
3 18
21
454 .38
5,40
ing the first (R
Raters for
3
0 0.00
43 0.34
,447 1.51
,437 7.34
211 .68
,138 0.87
Rater Set 1) o
Pa
Essay Wri
4
1 0.01
0 0.00
19 0.15
193 1.54
34 0.27
247 1.96
11
or second (Ra
age 18 of 24
ting
Total
19 0.15
1,749 13.91
5,422 43.13
5,114 40.68
268 2.13
12,572 100.00
ater Set 2)
S
S
T
A
P
P
P
T
N
TE
N
T
1
N
Statistical Repor
SAT Suite of Ass
Table 10. In
Agreement
Percent Agr
Percent Adj
Percent Mor
Total
Note: Zero sc
Table 11. InEach Dimen
Score
Essay Read
Essay Ana
Essay Writ
N
Note: Zero sc
Table 12. In
Score
Essay Rea
Essay Ana
Essay Writ
ASE repres
Note: Zero sc
rt
sessments Essa
nter-rater A
reement
acent
re than Adja
ores were ex
nter-rater Rnsion
ding
lysis
ting
ores were ex
nter-rater C
ding
alysis
ting
ents asympto
ores were ex
ay Report
Agreement b
acent
cluded from t
Reliability (P
Pearson Correlatio
0.57
0.61
0.62
12,894
cluded from t
onsistency
Kappa Sta
Simpl
Weight
Simpl
Weight
Simpl
Weight
otic standard e
cluded from t
between th
Essay
6
3
1
the computati
Pearson Co
n Sta
M
the computati
y (Kappa) b
atistic
le
ted
le
ted
le
ted
error.
the computati
he Two Rate
y Reading
61.45
36.92
1.62
00.00
on of inter-rat
orrelations)
andard ErroMeasuremen
0.47
0.47
0.45
12,894
on of correlat
between the
Value
0.37
0.46
0.42
0.51
0.40
0.50
on of correlat
ers for Eac
Essay
63
33
2
10
ter agreemen
) between t
or of nt
tions.
e Two Rate
ASE1
0.01
0.01
0.01
0.01
0.01
0.01
tions.
ch Dimensio
Analysis
3.47
3.85
2.68
00.00
nt.
the Two Ra
ers for Each
95% Co
0.36
0.44
0.41
0.50
0.39
0.49
Pa
on
Essay W
62.6
36.2
1.1
100.
ater Scores
h Dimensio
onfidence L
0
0
0
0
0
0
age 19 of 24
Writing
66
22
1
.00
for
on
Limits
.38
.47
.44
.52
.42
.51
S
S
Tb
N
Tb
S
E
E
E
S
E
E
E
Ne
Statistical Repor
SAT Suite of Ass
Table 13a. Ebetween Ge
Score
Essay Rea
Essay Ana
Essay Writ
Note: Zero sc
Table 13b. Ebetween Ra
Score
Essay Read
Essay Analy
Essay Writin
Score
Essay Read
Essay Analy
Essay Writin
Note: Zero scequal to or gre
rt
sessments Essa
Essay Dimeender Grou
ding
alysis
ting
ores were ex
Essay Dimacial/Ethnic
Wh
Mean
ding 4.97
ysis 3.70
ng 4.85
Wh
Mean
ding 4.97
ysis 3.70
ng 4.85
ores were exeater than 20
ay Report
ension Scoups
M
4
3
4
cluded from t
ension Scoc Groups
hite
n S.D. Me
1.19 4.
1.39 3.
1.25 4.4
hite
n S.D. Me
1.19 -
1.39 -
1.25 -
cluded from t0.
ore Mean, S
Male Mean
4.53
3.27
4.34
the analysis.
ore Mean, S
Black
ean S.D.
64 1.19
23 1.23
41 1.24
NHPI
ean S.D.
- -
- -
- -
the analysis. R
Standard D
S. D.
1.28
1.32
1.34
Standard D
Std. Diff.
Me
-0.28 4
-0.34 3
-0.36 4
Std. Diff.
Me
-
-
-
Results are o
Deviation, a
Mean
5.00
3.71
4.91
Deviation, a
Hispan
ean S.D.
.85 1.18
.49 1.34
.64 1.26
AIAN
ean S.D.
- -
- -
- -
only included i
nd Standar
FemaleS. D.
1.18
1.39
1.23
and Standar
nic Std. Diff.
M
-0.10 5
-0.15 3
-0.17 4
TStd. Diff.
M
- 4
- 3
- 4
if the non-wh
Pa
rdized Diffe
e Std. D
0.38
0.32
0.45
rdized Diffe
Asian
Mean S.D.
5.06 1.26
3.73 1.52
4.94 1.24
Two or mor
Mean S.D.
4.97 1.18
3.60 1.40
4.72 1.27
ite group sam
age 20 of 24
erence
Diff.
8
2
5
erence
n Std. Diff.
0.07
0.02
0.07
re races Std. Diff.
0.00
-0.07
-0.11
mple is
S
S
B
CM
CP
C
C
H
Statistical Repor
SAT Suite of Ass
Bibliograp
Cohen, J. (1Measuremen
Cohen, J. (1Partial Credi
College Boahttps://co
Cronbach, L334.
Haertel, E. H65-110).
rt
sessments Essa
phy/Refer
960). A Coent. 1960, 20,
968). Weight. Psycholog
rd, The (N.Dollegereadine
. J. (1951). C
H. (2006). RWestport, C
ay Report
rences
efficient of Ag, 37-46.
hted Kappa: gical Bulletin
D.) SAT essaess.collegeb
Coefficient a
Reliability. In CT: Praeger.
greement fo
Nominal Scn. 1968, 70, 2
ay. New Yorboard.org/sa
alpha and the
R. L. Brenna
r Nominal S
ales Agreem213-220.
k, NY: Authoat/inside-the-
e internal str
an (Ed.), Ed
cales. Educ
ment Provisio
or. Retrieved-test/essay
ructure of te
ducational m
cation and Ps
on for Scale
d from
ests. Psycho
easurement
Pa
sychological
ed Disagreem
metrika, 16,
t, fourth editi
age 21 of 24
l
ment or
297-
ion (pp.
S
S
A
TseettArw
Statistical Repor
SAT Suite of Ass
About the
The College success andeducation. Teducational ihe College Bhrough prog
Advanced Plresearch andwww.college
rt
sessments Essa
e College
Board is a md opportunityoday, the minstitutions aBoard helps grams and selacement Prd advocacy oeboard.org.
ay Report
Board
mission-drivey. Founded inembership a
and is dedicamore than s
ervices in corogram®. Theon behalf of
en not-for-prn 1900, the association iated to promseven millionollege readine organizatiostudents, ed
rofit organizaCollege Boais made up o
moting excelln students pness and colon also servducators and
ation that coard was creaof over 6,000lence and eq
prepare for allege succes
ves the educd schools. F
onnects studated to expa0 of the worquity in educ
a successful ss — includication commFor further in
Pa
dents to collend access to
rld’s leading cation. Eachtransition tong the SAT®
unity througnformation, v
age 22 of 24
ege o higher
h year, o college ® and the h
visit
Statistical R
SAT Suite o
Appen
A1. Pea
where the numb
A2. Perc
The perc
A3. Sing
The sing
correlatio
A4. Sing
The singcomputefrom the rater varirater sco
A5. Sing
The varia
A6. Sim
The simp
Where p0
expected
Report
of Assessments
dix A: Co
rson produ
and repber of test ta
centage of
centage of ag
gle-rater rel
le-rater relia
on between t
gle-rater va
le-rater variad on either tsame pool oiance is estim
ores:
gle-rater St
ance error of
ple Kappa
ple kappa co
0 is the obse
d probability
s Essay Report
orrelation
uct-momen
resent z-scoakers (Crock
agreement
greement (in
liability coe
ability coeffic
the first and
ariance
ance for athe first or seof raters, themated using
andard erro
f measurem
Coefficient
oefficient is g
erved probab
of agreeme
Indices a
nt correlatio
ores of obseker & Algina,
t
n percentage
efficient
cient for
second rate
a dimensionecond rater se two estimag the arithme
or of meas
ent for a sin
t
given by
bility of agree
nt and is com
and Reliab
on coefficie
∑
rved scores 1986)
e) is comput
.
r a given dim
er scores (re
n score or forscores. Becates are equi
etic average
12
urement
gle rater
1
1⁄
ement and i
mputed as
bility Esti
ent
and , res
ted as
mension is es
esult A1).
r the sum ofause both raivalent. In thof the varia
.
is given
.
s computed ∑ . .
mates
spectively an
stimated by
f dimension sater scores ahese analysences of the f
by:
as ∑.
nd N represe
the Pearson
scores can bare generatees, the singlefirst and sec
. pe is the
Page 23 of 2
ents
n
be ed e-cond
e
4
Statistical R
SAT Suite o
The asym
Where pe
The asym
The conf
A7. Weig
The weigweights t
Where p0
is the exp
are c
The asym
Where pe
The asym
The conf
Report
of Assessments
mptotic varia
∑ 1
e is the expe
mptotic stand
fidence limits
ghted Kapp
ghted Kappato quantify th
0 is the obse
pected proba
constructed s
mptotic varia
∑
e(w) is the ex
mptotic stand
fidence limits
s Essay Report
ance of the s
1 . .
ected proba
dard error (A
s are compu
pa Coeffici
a coefficient he relative d
erved probab
ability agree
so that 0
ance of the w
∑
pected prob
dard error (A
s are compu
simple kappa
1
bility of agre
ASE) is the s
uted as
ent
is a generalifference be
bility agreem
ement and is
for al
weighted kap
∑ .
ability agree
ASE) is the s
uted as
a coefficient
1 ∑∑
1
eement and
square root o
1.96 ∗
ization of theetween categ
1⁄
ment and is c
s computed a
ll and
ppa coefficie
∑ .
1
ement and is
square root o
1.96 ∗
is computed
∑ .
∗
is computed
of the asymp
)
e simple Kapgories. It is c
computed as
as ∑
for al
ent is compu
1
∗
s computed
of the asymp
d as
.
d as ∑
ptotic varian
ppa coefficiecomputed as
s ∑
∑ ∑ . .
l , and
uted as
as ∑
ptotic varian
1
. . .
nce.
ent that usess
∑ . p
. The weigh
.
1
∑ ∑ . .
nce.
Page 24 of 2
s the
pe(w)
hts
.
4