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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 Permitted [R3]): By Jurisdiction, 2000

NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, grade 4 mathematics state assessment (accommodations permitted [R3]): 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	193	0.67	0.77	0.74	0.78	0.74
Arizona	194	0.70	0.74	0.72	0.78	0.76
Arkansas	191	0.69	0.75	0.77	0.78	0.78
California	182	0.68	0.72	0.67	0.74	0.66
Connecticut	198	0.68	0.71	0.72	0.76	0.70
Georgia	205	0.68	0.74	0.71	0.74	0.72
Hawaii	208	0.73	0.79	0.78	0.79	0.80
Idaho	175	0.74	0.81	0.84	0.81	0.78
Illinois	174	0.67	0.76	0.74	0.80	0.76
Indiana	177	0.68	0.69	0.71	0.70	0.71
Iowa	176	0.66	0.75	0.73	0.76	0.74
Kansas	174	0.67	0.76	0.74	0.72	0.68
Kentucky	185	0.67	0.72	0.68	0.72	0.74
Louisiana	194	0.65	0.74	0.75	0.74	0.74
Maine	193	0.66	0.73	0.71	0.79	0.75
Maryland	196	0.66	0.76	0.71	0.74	0.71
Massachusetts	201	0.70	0.77	0.76	0.78	0.77
Michigan	175	0.68	0.75	0.70	0.75	0.69
Minnesota	178	0.70	0.74	0.74	0.77	0.76
Mississippi	193	0.64	0.77	0.73	0.76	0.73
Missouri	195	0.68	0.71	0.68	0.68	0.69
Montana	140	0.78	0.88	0.85	0.80	0.83
Nebraska	167	0.74	0.80	0.79	0.78	0.76
Nevada	211	0.67	0.75	0.71	0.77	0.74
New Mexico	195	0.71	0.79	0.77	0.80	0.72
New York	179	0.71	0.77	0.68	0.75	0.69
North Carolina	203	0.71	0.74	0.71	0.76	0.70
North Dakota	186	0.72	0.81	0.81	0.80	0.80
Ohio	170	0.68	0.74	0.69	0.74	0.70
Oklahoma	202	0.66	0.71	0.71	0.74	0.73
Oregon	181	0.76	0.82	0.79	0.80	0.74
Rhode Island	208	0.74	0.82	0.80	0.85	0.81
South Carolina	205	0.69	0.77	0.75	0.81	0.78
Tennessee	192	0.68	0.73	0.75	0.75	0.72
Texas	201	0.64	0.72	0.71	0.76	0.69
Utah	208	0.63	0.74	0.69	0.71	0.72
Vermont	158	0.71	0.79	0.74	0.79	0.79
Virginia	206	0.66	0.75	0.75	0.75	0.73
West Virginia	173	0.67	0.73	0.76	0.80	0.72
Wyoming	173	0.74	0.83	0.81	0.84	0.81
Other jurisdictions
American Samoa	105	0.87	0.97	0.92	0.96	0.95
District of Columbia	196	0.78	0.87	0.86	0.88	0.87
DDESS3	153	0.78	0.90	0.88	0.90	0.88
DoDDS4	190	0.70	0.81	0.81	0.87	0.82
Guam	140	0.80	0.91	0.90	0.90	0.85
Virgin Islands	113	0.90	0.95	0.93	0.93	0.94
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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