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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 8 Mathematics Combined National and State Assessment, by Jurisdiction: 2003
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, by jurisdiction, grade 8 mathematics combined national and state assessment: 2003
Jurisdiction Number of principal components Proportion1 of scale score variance accounted for
by the population-structure model
Number sense, properties, and operations Measurement Geometry and spatial sense Data analysis, statistics, and probability Algebra and functions
Alabama 209 0.70 0.71 0.68 0.71 0.72
Alaska 74 0.36 0.38 0.36 0.37 0.35
Arizona 229 0.64 0.60 0.63 0.67 0.68
Arkansas 223 0.73 0.70 0.67 0.72 0.74
California 274 0.66 0.66 0.66 0.70 0.67
Colorado 226 0.66 0.65 0.62 0.70 0.72
Connecticut 235 0.69 0.72 0.69 0.71 0.73
Delaware 202 0.70 0.67 0.69 0.68 0.71
Florida 232 0.70 0.69 0.67 0.71 0.71
Georgia 233 0.68 0.70 0.65 0.69 0.70
Hawaii 258 0.69 0.67 0.67 0.69 0.73
Idaho 220 0.65 0.69 0.67 0.69 0.72
Illinois 246 0.67 0.72 0.67 0.70 0.73
Indiana 217 0.67 0.70 0.65 0.73 0.72
Iowa 218 0.66 0.69 0.63 0.68 0.70
Kansas 224 0.68 0.70 0.63 0.65 0.68
Kentucky 216 0.59 0.63 0.56 0.61 0.64
Louisiana 215 0.67 0.69 0.61 0.66 0.68
Maine 212 0.58 0.61 0.56 0.57 0.63
Maryland 223 0.70 0.72 0.67 0.70 0.71
Massachusetts 238 0.67 0.67 0.64 0.68 0.71
Michigan 222 0.68 0.71 0.71 0.68 0.74
Minnesota 213 0.66 0.67 0.64 0.73 0.72
Mississippi 209 0.66 0.68 0.66 0.71 0.68
Missouri 221 0.65 0.69 0.62 0.63 0.68
Montana 223 0.63 0.63 0.62 0.66 0.68
Nebraska 220 0.69 0.71 0.64 0.73 0.70
Nevada 227 0.65 0.62 0.65 0.65 0.67
New Hampshire 203 0.62 0.63 0.60 0.64 0.69
New Jersey 231 0.67 0.67 0.67 0.71 0.68
New Mexico 241 0.67 0.67 0.64 0.71 0.71
New York 245 0.66 0.70 0.65 0.70 0.68
North Carolina 235 0.60 0.63 0.60 0.63 0.65
North Dakota 207 0.66 0.70 0.61 0.66 0.69
Ohio 227 0.65 0.69 0.68 0.67 0.71
Oklahoma 244 0.66 0.65 0.63 0.67 0.70
Oregon 239 0.65 0.66 0.68 0.67 0.68
Pennsylvania 220 0.69 0.67 0.62 0.69 0.71
Rhode Island 218 0.69 0.71 0.67 0.72 0.71
South Carolina 216 0.66 0.72 0.66 0.71 0.68
South Dakota 204 0.63 0.64 0.62 0.65 0.66
Tennessee 211 0.64 0.70 0.67 0.67 0.67
Texas 242 0.65 0.68 0.59 0.68 0.69
Utah 218 0.64 0.65 0.71 0.67 0.71
Vermont 201 0.61 0.64 0.57 0.60 0.63
Virginia 241 0.67 0.68 0.68 0.71 0.70
Washington 245 0.64 0.70 0.68 0.64 0.69
West Virginia 209 0.68 0.66 0.68 0.68 0.70
Wisconsin 229 0.68 0.72 0.68 0.74 0.72
Wyoming 205 0.59 0.63 0.58 0.64 0.64
Other jurisdictions
American Samoa 120 0.85 0.88 0.86 0.84 0.82
District of Columbia 180 0.68 0.66 0.64 0.71 0.67
DDESS2 162 0.82 0.86 0.83 0.83 0.83
DoDDS3 180 0.64 0.68 0.59 0.65 0.70
Virgin Islands 121 0.62 0.78 0.68 0.69 0.73
1 (Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance.
2 Department of Defense Domestic Dependent Elementary and Secondary Schools.
3 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), 2003 Mathematics Assessment.
Last updated 13 February 2009 (GF)

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