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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 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 4 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 241 0.67 0.67 0.68 0.68 0.66
Alaska 135 0.38 0.40 0.37 0.47 0.37
Arizona 272 0.61 0.65 0.58 0.65 0.61
Arkansas 253 0.66 0.72 0.69 0.67 0.67
California 307 0.66 0.63 0.62 0.66 0.62
Colorado 261 0.65 0.70 0.58 0.67 0.66
Connecticut 249 0.67 0.72 0.69 0.71 0.68
Delaware 246 0.62 0.64 0.60 0.69 0.63
Florida 265 0.64 0.68 0.62 0.66 0.65
Georgia 277 0.63 0.65 0.64 0.65 0.64
Hawaii 302 0.66 0.69 0.64 0.68 0.62
Idaho 248 0.60 0.62 0.59 0.59 0.54
Illinois 279 0.65 0.70 0.66 0.69 0.66
Indiana 241 0.62 0.65 0.58 0.63 0.59
Iowa 247 0.60 0.61 0.60 0.60 0.63
Kansas 249 0.60 0.69 0.59 0.64 0.59
Kentucky 228 0.56 0.58 0.58 0.60 0.55
Louisiana 241 0.65 0.68 0.71 0.69 0.69
Maine 241 0.58 0.62 0.58 0.59 0.62
Maryland 253 0.65 0.68 0.69 0.69 0.61
Massachusetts 276 0.65 0.67 0.64 0.63 0.62
Michigan 257 0.64 0.69 0.63 0.60 0.66
Minnesota 247 0.63 0.65 0.62 0.70 0.62
Mississippi 235 0.59 0.61 0.62 0.64 0.58
Missouri 250 0.60 0.61 0.57 0.66 0.55
Montana 246 0.60 0.65 0.58 0.60 0.57
Nebraska 250 0.64 0.67 0.65 0.67 0.60
Nevada 269 0.62 0.63 0.61 0.62 0.62
New Hampshire 254 0.61 0.60 0.59 0.64 0.61
New Jersey 252 0.69 0.71 0.69 0.69 0.70
New Mexico 276 0.61 0.66 0.62 0.63 0.59
New York 264 0.63 0.67 0.68 0.68 0.59
North Carolina 266 0.61 0.64 0.60 0.62 0.59
North Dakota 247 0.59 0.57 0.57 0.59 0.53
Ohio 255 0.65 0.69 0.65 0.68 0.62
Oklahoma 264 0.56 0.62 0.60 0.62 0.61
Oregon 270 0.56 0.59 0.54 0.58 0.56
Pennsylvania 241 0.68 0.70 0.68 0.68 0.69
Rhode Island 257 0.67 0.67 0.61 0.68 0.63
South Carolina 245 0.60 0.63 0.63 0.64 0.57
South Dakota 247 0.59 0.59 0.55 0.59 0.57
Tennessee 253 0.63 0.65 0.64 0.67 0.62
Texas 266 0.61 0.65 0.56 0.66 0.62
Utah 250 0.58 0.57 0.54 0.56 0.55
Vermont 240 0.58 0.60 0.58 0.61 0.57
Virginia 265 0.61 0.68 0.60 0.63 0.62
Washington 270 0.60 0.62 0.55 0.55 0.60
West Virginia 230 0.55 0.56 0.56 0.61 0.55
Wisconsin 252 0.66 0.68 0.64 0.65 0.65
Wyoming 249 0.55 0.58 0.54 0.60 0.56
Other jurisdictions
District of Columbia 225 0.62 0.65 0.67 0.60 0.56
DDESS2 193 0.58 0.71 0.65 0.65 0.63
DoDDS3 219 0.56 0.57 0.56 0.60 0.54
Virgin Islands 126 0.68 0.73 0.68 0.71 0.69
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.
3Department 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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