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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 Scale Score Variance Accounted for by the Population-Structure Models → Proportion of Scale Score Variance Accounted for by the Population-Structure Models, Grade 4 Mathematics State Assessment (Accommodations Not Permitted [R2]): By Jurisdiction, 2000

NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, grade 4 mathematics state assessment (accommodations not permitted [R2]): By jurisdiction, 2000

Jurisdiction	Number of principal components2	Proportion1 of scale score variance
		Number sense, properties, and operations	Measurement	Geometry and spatial sense	Data analysis, statistics, and probability	Algebra and functions
Alabama	190	0.67	0.73	0.75	0.78	0.74
Arizona	186	0.70	0.77	0.75	0.79	0.75
Arkansas	186	0.68	0.77	0.75	0.81	0.73
California	183	0.69	0.71	0.72	0.74	0.67
Connecticut	189	0.67	0.72	0.73	0.76	0.71
Georgia	196	0.69	0.75	0.73	0.74	0.72
Hawaii	207	0.73	0.80	0.81	0.81	0.79
Idaho	168	0.70	0.79	0.82	0.78	0.77
Illinois	163	0.67	0.76	0.71	0.75	0.74
Indiana	167	0.66	0.66	0.69	0.70	0.66
Iowa	166	0.65	0.73	0.74	0.71	0.69
Kansas	168	0.66	0.77	0.73	0.73	0.70
Kentucky	176	0.64	0.68	0.65	0.72	0.71
Louisiana	190	0.69	0.73	0.77	0.76	0.74
Maine	185	0.67	0.74	0.71	0.75	0.77
Maryland	190	0.66	0.77	0.73	0.76	0.71
Massachusetts	193	0.70	0.76	0.77	0.75	0.72
Michigan	170	0.67	0.74	0.67	0.72	0.67
Minnesota	177	0.64	0.70	0.76	0.74	0.75
Mississippi	191	0.63	0.78	0.72	0.75	0.70
Missouri	190	0.66	0.74	0.72	0.71	0.68
Montana	148	0.78	0.85	0.89	0.81	0.82
Nebraska	162	0.72	0.79	0.82	0.84	0.79
Nevada	202	0.65	0.74	0.73	0.78	0.73
New Mexico	192	0.75	0.81	0.82	0.82	0.78
New York	167	0.68	0.75	0.67	0.73	0.66
North Carolina	189	0.65	0.71	0.71	0.74	0.65
North Dakota	186	0.71	0.79	0.82	0.81	0.80
Ohio	168	0.65	0.73	0.70	0.75	0.72
Oklahoma	195	0.68	0.71	0.71	0.75	0.68
Oregon	172	0.70	0.78	0.75	0.72	0.74
Rhode Island	197	0.75	0.80	0.80	0.84	0.82
South Carolina	194	0.69	0.76	0.78	0.78	0.75
Tennessee	189	0.68	0.76	0.76	0.76	0.71
Texas	195	0.65	0.68	0.71	0.74	0.70
Utah	199	0.63	0.70	0.66	0.72	0.74
Vermont	148	0.72	0.82	0.78	0.81	0.79
Virginia	185	0.66	0.78	0.74	0.73	0.72
West Virginia	163	0.65	0.71	0.78	0.78	0.75
Wyoming	171	0.75	0.83	0.83	0.84	0.80
Other jurisdictions
American Samoa	103	0.89	0.97	0.92	0.97	0.96
District of Columbia	191	0.78	0.86	0.87	0.90	0.86
DDESS3	158	0.74	0.89	0.87	0.90	0.87
DoDDS4	184	0.71	0.82	0.85	0.89	0.83
Guam	133	0.80	0.90	0.89	0.91	0.85
Virgin Islands	109	0.88	0.96	0.94	0.93	0.93
1 Proportion is (Total Variance - Residual Variance)/Total Variance. 2 Excluding the constant term. 3 Department of Defense Domestic Dependent Elementary and Secondary Schools. 4 Department of Defense Dependents Schools (Overseas).
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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