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NAEP Analysis and Scaling → Estimation of Population and Student Group Distributions → Examining the Population-Structure Models Used in NAEP → Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in NAEP Student Group Distribution Models → Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 8 Mathematics National Main Assessment (Accommodations Not Permitted): 2000

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 mathematics national main assessment (accommodations not permitted [R2]): 2000

Group-defining contrast	Proportion of variance
Female	0.93
Black	0.96
Hispanic	0.96
Asian	0.95
Mexican	0.93
Puer Ric	0.96
Cubn,Oth	0.97
Hisp-?	0.97
MID CTY7	0.91
FR/LCTY7	0.92
FR/MCTY7	0.94
LAR TWN7	0.95
SML TWN7	0.93
Other	0.94
HS Grad	0.95
Post HS	0.94
COL Grad	0.96
PARED-?	0.95
S East	0.88
Central	0.87
West	0.88
Private	0.93
Catholic	0.92
Modage	0.99
Above	0.99
Black	0.88
Hispanic	0.80
Asian	0.79
IEP-NO	0.86
LEP-NO	0.79
Title-N	0.84
RED PRIC	0.95
Free	0.77
Info N/A	0.88
SCH/REF	0.87
SCH/NP	0.86
TVLIN-0	0.98
TV-QUAD	0.98
HW-NO	0.98
HW-YES	0.98
HWLIN-0	0.98
HWQUAD-0	0.97
HITEM=3	0.92
O.RELIG	0.90
NONSECT	0.91
LUTHERAN	0.95
G/R 22	0.90
G/R 23	0.91
G/R 24	0.95
G/T 22	0.68
G/T 23	0.73
G/T 24	0.71
G/T 25	0.89
G/T 26	0.71
G/T 27	0.70
G/P 22	0.93
G/P 23	0.93
G/P 24	0.80
G/P 25	0.85
G/S 22	0.95
G/S 23	0.94
R/T 24	0.90
R/T 25	0.90
R/T 26	0.92
R/T 27	0.94
R/T 31	0.91
R/T 32	0.93
R/T 33	0.92
R/T 34	0.91
R/T 35	0.93
R/T 36	0.95
R/T 37	0.92
R/T 41	0.94
R/T 42	0.92
R/T 43	0.91
R/T 44	0.94
R/T 45	0.92
R/T 46	0.93
R/T 47	0.94
R/P 24	0.89
R/P 25	0.90
R/P 31	0.91
R/P 32	0.87
R/P 33	0.90
R/P 34	0.91
R/P 35	0.92
R/P 41	0.88
R/P 42	0.95
R/P 43	0.97
R/P 44	0.96
R/P 45	0.93
R/S 31	0.96
R/S 32	0.97
R/S 33	0.96
R/S 41	0.94
R/S 42	0.96
R/S 43	0.96
P/T 25	0.77
P/T 26	0.80
P/T 27	0.74
P/T 31	0.91
P/T 32	0.79
P/T 33	0.74
P/T 34	0.76
P/T 35	0.78
P/T 36	0.74
P/T 37	0.91
P/T 41	0.79
P/T 42	0.75
P/T 43	0.79
P/T 44	0.78
P/T 45	0.82
P/T 46	0.93
P/T 47	0.81
P/T 51	0.78
P/T 52	0.79
P/T 53	0.82
P/T 54	0.80
P/T 55	0.93
P/T 56	0.84
P/T 57	0.81
T/S 41	0.92
T/S 42	0.91
T/S 43	0.92
T/S 51	0.91
T/S 52	0.92
T/S 53	0.92
T/S 61	0.97
T/S 62	0.96
T/S 63	0.94
T/S 71	0.93
T/S 72	0.93
P/S 32	0.94
P/S 33	0.92
P/S 41	0.93
P/S 42	0.91
P/S 43	0.92
P/S 51	0.91
P/S 52	0.95
P/S 53	0.95
SAMP S3	0.83
S/R 22	0.90
S/R 23	0.90
S/R 24	0.95
ARPT NO	0.88
Black	0.94
Hispanic	0.93
Asian AM	0.93
AMER IND	0.97
Other	0.98
B003001M	0.74
B014601B	0.96
B014601C	0.96
B014601D	0.89
B014601M	0.72
B003201B	0.87
B003201C	0.81
B003201M	0.89
B008801B	0.97
B008801C	0.98
B008801D	0.99
B008801E	0.98
B008801M	0.78
B000901N	0.94
B000901I	0.95
B000901M	0.70
B000903N	0.95
B000903I	0.95
B000903M	0.89
B000905N	0.95
B000905I	0.94
B000905M	0.87
B016501B	0.89
B016501C	0.92
B016501D	0.95
B016501E	0.97
B016501F	0.98
B016501G	0.96
B016501M	0.80
S004001B	0.87
S004001C	0.88
S004001D	0.93
S004001E	0.93
S004001M	0.80
B016701B	0.89
B016701C	0.91
B016701D	0.83
B016701M	0.85
B009301B	0.90
B009301C	0.91
B009301D	0.94
B009301E	0.87
B009301M	0.91
B016101N	0.77
B016101M	0.81
B009401B	0.85
B009401C	0.88
B009401D	0.89
B009401M	0.89
B008601B	0.86
B008601C	0.88
B008601D	0.89
B008601I	0.81
B008601M	0.83
B008701B	0.90
B008701C	0.90
B008701D	0.90
B008701I	0.82
B008701M	0.78
B016801B	0.91
B016801C	0.94
B016801D	0.93
B016801E	0.95
B016801F	0.95
B016801G	0.96
B016801H	0.95
B016801M	0.79
B016201B	0.97
B016201C	0.98
B016201D	0.98
B016201E	0.98
B016201I	0.98
B016201M	0.87
K811001B	0.91
K811001C	0.90
K811001M	0.73
K811002B	0.89
K811002C	0.85
K811002M	0.86
K811003B	0.81
K811003C	0.80
K811003M	0.84
K813001B	0.93
K813001C	0.91
K813001M	0.87
K811007B	0.90
K811007C	0.89
K811007M	0.81
K811101M	0.87
K811102M	0.84
K811103M	0.79
K811104M	0.84
K811105M	0.72
K811106M	0.81
K811107M	0.85
K811108M	0.93
K811401N	0.93
K811401M	0.92
K812901B	0.96
K812901C	0.95
K812901D	0.94
K812901M	0.82
K813101B	0.94
K813101C	0.92
K813101D	0.93
K813101M	0.73
K813201B	0.92
K813201C	0.91
K813201D	0.91
K813201M	0.88
K813301B	0.84
K813301C	0.87
K813301D	0.89
K813301M	0.83
K813501B	0.85
K813501C	0.87
K813501D	0.93
K813501M	0.91
K813601B	0.91
K813601C	0.91
K813601D	0.94
K813601M	0.89
K812001B	0.97
K812001C	0.95
K812001D	0.94
K812001E	0.97
K812001F	0.98
K812001M	0.84
K812201B	0.96
K812201C	0.98
K812201D	0.98
K812201E	0.98
K812201F	0.98
K812201G	0.98
K812201M	0.75
K811501N	0.91
K811501M	0.92
K813401Y	0.98
K813401N	0.98
K813401I	0.99
K813401M	0.91
K814001B	0.92
K814001C	0.96
K814001D	0.89
K814001M	0.78
K814101B	0.90
K814101C	0.96
K814101D	0.88
K814101M	0.85
K814201B	0.90
K814201C	0.95
K814201D	0.83
K814201M	0.88
K814301B	0.95
K814301C	0.98
K814301D	0.94
K814301M	0.87
K814401Y	0.96
K814401N	0.97
K814401D	0.87
K814401M	0.89
K814501Y	0.98
K814501N	0.98
K814501D	0.85
K814501M	0.89
K814701B	0.96
K814701C	0.98
K814701D	0.97
K814701M	0.84
K814601B	0.93
K814601C	0.98
K814601D	0.95
K814601M	0.92
K814801B	0.89
K814801C	0.98
K814801D	0.92
K814801M	0.92
K814901B	0.97
K814901C	0.98
K814901D	0.97
K814901M	0.91
X012101B	0.96
X012101C	0.99
X012101D	0.97
X012101E	0.89
X012101F	0.86
X012101H	0.96
X012101K	0.91
X012101L	0.87
X012101M	0.97
X012201B	0.89
X012201C	0.92
X012201M	0.97
X012301N	0.97
X012301I	0.89
X012301M	0.99
X012401B	0.92
X012401C	0.85
X012401D	0.88
X012401I	0.87
X012401M	0.99
X012501Y	0.95
X012501N	0.89
X012601B	0.94
X012601C	0.86
X012601D	0.90
X012601I	0.87
X012601M	0.99
X012701Y	0.96
X012701N	0.90
X012801B	0.96
X012801C	0.86
X012801D	0.86
X012801I	0.87
X012801M	0.99
X012901Y	0.97
X012901N	0.89
X012901I	0.88
X012901M	0.99
X013001N	0.93
X013001C	0.81
X013001M	0.99
X013101M	0.88
X013102M	0.81
X013103M	0.87
X013104M	0.90
X013105M	0.81
X013109M	0.78
X013203M	0.81
X013204M	0.95
X013206M	0.87
X013207M	0.91
X013208M	0.83
X013211M	0.86
X013301M	0.88
X013302M	0.82
X013303M	0.88
X013401M	0.91
X013402M	0.84
X013403M	0.88
X013404M	0.85
X013501B	0.93
X013501C	0.86
X013501M	0.96
X013601B	0.91
X013601C	0.89
X013601M	0.96
X013701B	0.92
X013701C	0.90
X013801B	0.79
X013801M	0.91
X013901B	0.92
X013901C	0.91
X013901D	0.96
X013901E	0.96
X013901I	0.97
X014001B	0.97
X014001I	0.96
X014101B	0.94
X014101C	0.87
X014101D	0.96
X014101E	0.97
X014101I	0.94
X014201B	0.86
X014201C	0.84
X014201E	0.85
X014201M	0.96
X014301B	0.93
X014301C	0.83
X014301D	0.83
X014301I	0.88
X014401B	0.94
X014401C	0.84
X014401D	0.90
X014401I	0.94
X014501B	0.95
X014501C	0.96
X014501D	0.88
X014501I	0.90
X014601N	0.93
X014601M	0.96
X014701M	0.91
X014702M	0.88
X014704M	0.86
X014705M	0.86
X014706M	0.84
X014708M	0.80
X014709M	0.83
X014801B	0.93
X014801C	0.95
X014801M	0.97
X014901B	0.92
X014901C	0.94
X014901M	0.95
X015001B	0.93
C044601A	0.88
C044601X	0.91
C035701N	0.86
C035701M	0.87
C042802N	0.85
C042802M	0.87
C042803N	0.87
C042803M	0.90
C032207B	0.93
C032207N	0.93
C032207M	0.93
C032209B	0.87
C032209N	0.85
C032209M	0.98
C032210B	0.91
C032210N	0.91
C032210M	0.94
C032211B	0.88
C032211N	0.87
C032211M	0.95
C045401B	0.91
C045401N	0.90
C045401M	0.95
C045402B	0.94
C045402N	0.94
C045402M	0.95
C037701B	0.88
C037701C	0.87
C037701D	0.85
C037701M	0.94
C037702B	0.90
C037702C	0.93
C037702D	0.90
C037702M	0.99
C037703B	0.91
C037703C	0.92
C037703D	0.89
C037704B	0.84
C037704C	0.85
C037704D	0.90
C037704M	0.98
C037705B	0.88
C037705C	0.87
C037705D	0.84
C032402B	0.90
C032402C	0.93
C032402D	0.91
C032402M	0.99
C032401B	0.90
C032401C	0.94
C032401D	0.91
C032401M	0.99
C032404B	0.90
C032404C	0.94
C032404D	0.90
C032404M	0.97
C032406B	0.90
C032406C	0.95
C032406D	0.93
C032406M	0.99
C032407B	0.90
C032407C	0.95
C032407D	0.95
C032408B	0.89
C032408C	0.96
C032408D	0.94
C032408M	0.99
C032409B	0.89
C032409C	0.93
C032409D	0.89
C032409M	0.96
C032410B	0.93
C032410C	0.94
C032410D	0.94
C032410M	0.99
C032411B	0.91
C032411C	0.93
C032411D	0.93
C032411M	0.99
C032412B	0.89
C032412C	0.94
C032412D	0.94
C032412M	0.97
C032413B	0.87
C032413C	0.95
C032413D	0.95
C032413M	0.98
C032414B	0.90
C032414C	0.93
C032414D	0.88
C032414M	0.95
C032415B	0.90
C032415C	0.95
C032415D	0.93
C043103B	0.88
C043103C	0.95
C043103D	0.95
C043103M	0.98
C043104B	0.88
C043104C	0.96
C043104D	0.94
C043104M	0.99
C032502B	0.86
C032502C	0.87
C032502D	0.89
C032502M	0.98
C032503B	0.87
C032503C	0.89
C032503D	0.89
C032503M	0.98
C032505B	0.87
C032505C	0.91
C032505D	0.90
C032505M	0.99
C043201B	0.87
C043201C	0.87
C043201D	0.90
C043201M	0.96
C032506B	0.86
C032506C	0.89
C032506D	0.90
C032506M	0.96
C033601B	0.90
C033601C	0.90
C033601D	0.88
C033601M	0.94
C036501B	0.86
C036501C	0.87
C036501D	0.88
C036501M	0.98
C037801B	0.90
C037801C	0.89
C037801D	0.89
C037801E	0.88
C037801F	0.91
C037801G	0.90
C037801H	0.91
C037801M	0.94
C038001B	0.87
C038001C	0.87
C038001D	0.88
C038001E	0.96
C038001F	0.89
C038001G	0.88
C038001M	0.98
C038301N	0.86
C038301M	0.95
C043801B	0.86
C043801C	0.90
C043801D	0.90
C043801E	0.92
C043801F	0.90
C043801G	0.90
C043801H	0.86
C043801M	0.86
C043901N	0.93
C043901M	0.93
C044001B	0.86
C044001C	0.89
C044001D	0.88
C044001E	0.89
C044001F	0.88
C044001G	0.88
C044001H	0.89
C044001M	0.93
C044002B	0.89
C044002C	0.89
C044002D	0.90
C044002E	0.88
C044002F	0.90
C044002G	0.93
C044002M	0.96
C044003B	0.88
C044003C	0.88
C044003D	0.90
C044003E	0.89
C044003F	0.88
C044003G	0.94
C044003H	0.89
C044003M	0.93
C044004B	0.91
C044004C	0.89
C044004D	0.90
C044004E	0.89
C044004F	0.89
C044004G	0.94
C044004H	0.93
C044004M	0.96
C044005B	0.88
C044005C	0.86
C044005D	0.88
C044005E	0.85
C044005F	0.89
C044005G	0.87
C044005H	0.95
C044005M	0.94
C044006B	0.88
C044006C	0.87
C044006D	0.89
C044006E	0.89
C044006F	0.90
C044006G	0.91
C044006H	0.91
C044006M	0.95
C044007B	0.88
C044007C	0.92
C044007D	0.94
C044007E	0.89
C044007F	0.91
C044007M	0.96
C045501M	0.91
C045502M	0.89
C045503M	0.88
C045504M	0.85
C045505M	0.87
C045506M	0.86
C045507M	0.91
C045509M	0.85
C045510M	0.88
C044801B	0.88
C044801C	0.87
C044801D	0.86
C044801E	0.86
C044801M	0.85
C034201B	0.92
C034201C	0.95
C034201M	0.95
C034402N	0.85
C034402M	0.99
C034403N	0.86
C034403M	0.93
C044901B	0.90
C044901C	0.89
C044901D	0.93
C044902B	0.88
C044902C	0.89
C044902D	0.93
C044902M	0.98
C034601N	0.84
C034601M	0.94
C045601N	0.86
C045601M	0.93
C045602N	0.85
C045602M	0.91
C041901B	0.87
C041901C	0.88
C041901D	0.90
C041901E	0.88
C041901M	0.96
C044501A	0.87
C044501X	0.88
T055901B	0.85
T055901M	0.96
T056002M	0.93
T056003M	0.88
T056004M	0.86
T056005M	0.93
T056006M	0.87
T056007M	0.89
T040301B	0.89
T040301C	0.90
T040301D	0.92
T040301E	0.92
T040301M	0.97
T074701B	0.88
T074701C	0.90
T074701D	0.91
T074701E	0.92
T074701M	0.98
T056201B	0.89
T056201C	0.89
T056201D	0.89
T056201E	0.96
T056201F	0.88
T056201M	0.95
T040501N	0.87
T040501C	0.91
T040501M	0.87
T040507N	0.90
T040507C	0.86
T040507M	0.90
T040508N	0.84
T040508C	0.85
T040508M	0.85
T040505N	0.85
T040505C	0.88
T040505M	0.86
T056301B	0.94
T056301C	0.94
T056301D	0.94
T056301E	0.89
T056301F	0.90
T056301G	0.89
T056301M	0.97
T040701M	0.87
T040706M	0.87
T040707M	0.85
T040710M	0.84
T040711M	0.83
T040712M	0.87
T040713M	0.85
T040708M	0.87
T040709M	0.86
T040705M	0.83
T040801M	0.85
T040807M	0.85
T040808M	0.84
T040814M	0.86
T040815M	0.85
T040816M	0.85
T040817M	0.86
T040809M	0.83
T040810M	0.83
T040811M	0.86
T040812M	0.86
T040813M	0.86
T040805M	0.86
T040806M	0.84
T056401M	0.84
T056402M	0.86
T056403M	0.84
T056404M	0.84
T056405M	0.85
T056415M	0.83
T056416M	0.86
T056406M	0.85
T056407M	0.85
T056408M	0.86
T056409M	0.86
T056410M	0.91
T056411M	0.88
T056412M	0.87
T058101B	0.89
T058101C	0.91
T058101D	0.91
T058101E	0.90
T058101M	0.96
T058201B	0.87
T058201C	0.87
T058201D	0.89
T058201E	0.87
T058201M	0.98
T041201B	0.90
T041201C	0.90
T041201D	0.90
T041201M	0.98
T062801N	0.88
T062801M	0.96
T074801B	0.90
T074801C	0.92
T074801D	0.94
T074801M	0.94
T056801B	0.86
T056801C	0.89
T056801D	0.93
T056801E	0.94
T056801F	0.92
T056801M	0.98
T074901B	0.90
T074901C	0.90
T074901D	0.92
T074901E	0.90
T074901F	0.90
T074901G	0.91
T074901M	0.98
TA75901M	0.85
TB75901M	0.86
TC75901M	0.89
TD75901M	0.89
TA75902M	0.83
TB75902M	0.83
TC75902M	0.85
TD75902M	0.90
TA75903M	0.84
TB75903M	0.87
TC75903M	0.88
TD75903M	0.91
TA75904M	0.86
TB75904M	0.85
TC75904M	0.86
TD75904M	0.91
TA75905M	0.82
TB75905M	0.84
TC75905M	0.85
TD75905M	0.91
TA75906M	0.83
TB75906M	0.88
TC75906M	0.87
TD75906M	0.89
T060401M	0.82
T060402M	0.82
T060404M	0.83
T060405M	0.82
T060601B	0.86
T060601C	0.88
T060601D	0.87
T060601M	0.98
T060602B	0.88
T060602C	0.94
T060602D	0.91
T060602M	0.94
T060603B	0.91
T060603C	0.93
T060603D	0.89
T060603M	0.99
T060604B	0.89
T060604C	0.90
T060604D	0.86
T060604M	0.97
T060605B	0.87
T060605C	0.93
T060605D	0.93
T060605M	0.97
T060606B	0.90
T060606C	0.95
T060606D	0.90
T060606M	0.96
T060607B	0.87
T060607C	0.90
T060607D	0.84
T060607M	0.98
T060608B	0.89
T060608C	0.90
T060608D	0.84
T060608M	0.98
T060609B	0.94
T060609C	0.95
T060609D	0.86
T060609M	0.99
T060702B	0.91
T060702C	0.92
T060702D	0.88
T060702M	0.98
T060703B	0.91
T060703C	0.96
T060703D	0.91
T060703M	0.99
T060704B	0.88
T060704C	0.92
T060704D	0.91
T060704M	0.98
T075401B	0.90
T075401C	0.92
T075401D	0.92
T075401M	0.99
T060801B	0.93
T060801C	0.94
T060801M	0.98
T061101B	0.82
T061101C	0.87
T061101M	0.97
T061102B	0.84
T061102C	0.91
T061102M	0.98
T061103B	0.83
T061103C	0.85
T061103M	0.99
T061104B	0.84
T061104C	0.88
T061104M	0.98
T061105B	0.84
T061105C	0.87
T061105M	0.99
T061106B	0.86
T061106C	0.87
T061106M	0.99
T061107B	0.84
T061107C	0.85
T061107M	0.98
T061108B	0.86
T061108C	0.86
T061108M	0.98
T061109B	0.88
T061109C	0.90
T061109M	0.99
T061201N	0.84
T061201M	0.97
T061301B	0.89
T061301C	0.88
T061301D	0.90
T061301E	0.86
T061301M	0.98
T061302B	0.85
T061302C	0.87
T061302D	0.89
T061302E	0.87
T061302M	0.99
T061308B	0.89
T061308C	0.88
T061308D	0.88
T061308E	0.87
T061308M	0.98
T061401B	0.91
T061401C	0.93
T061401D	0.84
T061401M	0.98
T061501M	0.87
T061511M	0.88
T061521M	0.87
T061531M	0.88
T061541M	0.89
T061551M	0.87
T061601M	0.83
T061611M	0.84
T061621M	0.85
T061631M	0.84
T061641M	0.83
T061651M	0.84
T044002N	0.91
T044002M	0.96
T061801B	0.93
T061801C	0.92
T061801D	0.92
T061801E	0.89
T061801M	0.83
T062001B	0.87
T062001C	0.89
T062001D	0.88
T062001M	0.91
T062002B	0.85
T062002C	0.88
T062002D	0.88
T062002M	0.89
T062003B	0.86
T062003C	0.88
T062003D	0.85
T062003M	0.88
T062101B	0.89
T062101C	0.88
T062101D	0.90
T062101M	0.96
T062201M	0.83
T062202M	0.82
T062203M	0.81
T062205M	0.84
T062210M	0.82
T062301B	0.92
T062301C	0.93
T062301D	0.93
T062301E	0.90
T062301M	0.95
T076101B	0.94
T076101C	0.94
T076101D	0.95
T076101E	0.96
T076101F	0.95
T076101G	0.95
T076101H	0.95
T076101I	0.95
T076101M	0.91
T0761021	0.84
T076102X	0.79
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Mathematics Assessment.

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