NAEP Analysis and Scaling → Estimation of Population and Student Group Distributions → Examining the Population-Structure Models Used in NAEP → Proportion of Scale Score Variance Accounted for by the Population-Structure Models → Proportion of Scale Score Variance Accounted for by the Population-Structure Model, Grade 4 Mathematics State Assessment, By Scale and Jurisdiction: 2009

NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure model, grade 4 mathematics state assessment, by scale and jurisdiction: 2009

Jurisdiction	Number of principal components	Proportion1 of scale score variance accounted for by the population structure model
		Number properties and operations	Measurement	Geometry	Data analysis, statistics, and probability	Algebra
1 (Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance. 2 Department of Defense Education Activity. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics State Assessment.
Alabama	253	0.66	0.66	0.60	0.61	0.66
Alaska	210	0.55	0.54	0.52	0.51	0.51
Arizona	306	0.68	0.67	0.62	0.66	0.66
Arkansas	279	0.65	0.67	0.60	0.63	0.63
California	378	0.69	0.69	0.68	0.67	0.69
Colorado	269	0.66	0.66	0.63	0.67	0.62
Connecticut	270	0.68	0.67	0.63	0.66	0.67
Delaware	255	0.60	0.65	0.52	0.62	0.56
Florida	371	0.63	0.67	0.63	0.64	0.63
Georgia	311	0.64	0.67	0.62	0.61	0.63
Hawaii	275	0.67	0.71	0.64	0.62	0.64
Idaho	290	0.59	0.61	0.55	0.57	0.57
Illinois	339	0.68	0.70	0.65	0.67	0.66
Indiana	263	0.62	0.67	0.60	0.58	0.61
Iowa	270	0.59	0.59	0.55	0.63	0.61
Kansas	269	0.58	0.61	0.55	0.63	0.65
Kentucky	257	0.55	0.57	0.54	0.53	0.55
Louisiana	262	0.60	0.68	0.63	0.66	0.65
Maine	271	0.60	0.57	0.52	0.53	0.61
Maryland	264	0.64	0.70	0.66	0.63	0.66
Massachusetts	325	0.65	0.69	0.67	0.65	0.64
Michigan	285	0.68	0.65	0.59	0.60	0.65
Minnesota	319	0.64	0.63	0.60	0.65	0.63
Mississippi	265	0.59	0.63	0.64	0.64	0.62
Missouri	264	0.63	0.64	0.58	0.66	0.61
Montana	269	0.58	0.58	0.55	0.57	0.58
Nebraska	266	0.66	0.66	0.64	0.62	0.63
Nevada	290	0.61	0.62	0.58	0.64	0.62
New Hampshire	272	0.61	0.61	0.55	0.57	0.58
New Jersey	285	0.65	0.69	0.55	0.66	0.64
New Mexico	282	0.59	0.56	0.58	0.54	0.52
New York	360	0.65	0.66	0.59	0.66	0.60
North Carolina	378	0.64	0.63	0.63	0.62	0.64
North Dakota	203	0.59	0.56	0.54	0.61	0.50
Ohio	260	0.65	0.66	0.55	0.65	0.63
Oklahoma	288	0.58	0.59	0.56	0.59	0.57
Oregon	283	0.60	0.58	0.57	0.59	0.58
Pennsylvania	307	0.65	0.66	0.68	0.66	0.66
Rhode Island	248	0.69	0.73	0.68	0.70	0.65
South Carolina	290	0.67	0.70	0.62	0.66	0.65
South Dakota	275	0.64	0.62	0.58	0.61	0.63
Tennessee	268	0.62	0.67	0.64	0.66	0.67
Texas	346	0.66	0.67	0.64	0.69	0.66
Utah	295	0.63	0.66	0.56	0.60	0.64
Vermont	254	0.59	0.61	0.55	0.60	0.60
Virginia	275	0.66	0.65	0.65	0.65	0.63
Washington	309	0.64	0.68	0.59	0.68	0.64
West Virginia	254	0.54	0.54	0.48	0.55	0.55
Wisconsin	334	0.65	0.69	0.59	0.66	0.68
Wyoming	199	0.55	0.58	0.47	0.56	0.55
Other jurisdictions
District of Columbia	179	0.65	0.71	0.64	0.65	0.66
DoDEA2	204	0.53	0.54	0.60	0.59	0.54

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