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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 Main Assessment, by Subscale and Jurisdiction: 2005
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, grade 4 mathematics combined national and state main assessment, by subscale and jurisdiction: 2005
Jurisdiction Number of principal components2 Proportion1 of scale score variance accounted for by the  population-structure model
Number, properties, and operations Measurement Geometry Data analysis and probability Algebra
Alabama 232 0.54 0.56 0.56 0.55 0.55
Alaska 151 0.40 0.40 0.37 0.37 0.35
Arizona 254 0.56 0.57 0.57 0.57 0.54
Arkansas 241 0.53 0.53 0.53 0.53 0.50
California 373 0.52 0.52 0.48 0.50 0.47
Colorado 244 0.53 0.53 0.51 0.53 0.49
Connecticut 252 0.57 0.60 0.59 0.62 0.55
Delaware 211 0.49 0.53 0.52 0.52 0.49
Florida 307 0.49 0.50 0.52 0.51 0.46
Georgia 264 0.53 0.55 0.50 0.55 0.53
Hawaii 243 0.55 0.56 0.60 0.59 0.57
Idaho 245 0.49 0.49 0.48 0.50 0.51
Illinois 274 0.56 0.60 0.60 0.58 0.56
Indiana 236 0.51 0.53 0.50 0.55 0.52
Iowa 219 0.46 0.43 0.42 0.44 0.45
Kansas 227 0.46 0.50 0.47 0.48 0.45
Kentucky 229 0.44 0.46 0.47 0.47 0.46
Louisiana 233 0.55 0.59 0.56 0.55 0.60
Maine 254 0.46 0.49 0.44 0.44 0.45
Maryland 224 0.56 0.60 0.58 0.53 0.57
Massachusetts 276 0.52 0.61 0.51 0.57 0.52
Michigan 213 0.56 0.61 0.55 0.57 0.52
Minnesota 237 0.51 0.51 0.51 0.53 0.49
Mississippi 243 0.50 0.55 0.56 0.56 0.51
Missouri 244 0.48 0.53 0.48 0.53 0.48
Montana 255 0.45 0.47 0.47 0.51 0.52
Nebraska 220 0.53 0.60 0.58 0.54 0.48
Nevada 254 0.50 0.53 0.51 0.50 0.53
New Hampshire 254 0.49 0.56 0.48 0.50 0.50
New Jersey 252 0.55 0.57 0.57 0.55 0.55
New Mexico 277 0.52 0.55 0.53 0.51 0.56
New York 302 0.52 0.52 0.51 0.52 0.47
North Carolina 271 0.53 0.54 0.55 0.55 0.53
North Dakota 230 0.45 0.47 0.45 0.55 0.42
Ohio 241 0.55 0.59 0.55 0.54 0.49
Oklahoma 256 0.51 0.54 0.52 0.53 0.51
Oregon 245 0.50 0.54 0.48 0.49 0.47
Pennsylvania 229 0.54 0.59 0.56 0.56 0.51
Rhode Island 240 0.56 0.60 0.57 0.56 0.51
South Carolina 235 0.51 0.55 0.58 0.59 0.52
South Dakota 253 0.48 0.51 0.51 0.52 0.50
Tennessee 244 0.51 0.53 0.55 0.55 0.53
Texas 334 0.45 0.45 0.49 0.46 0.45
Utah 227 0.49 0.50 0.44 0.51 0.49
Vermont 223 0.42 0.54 0.49 0.44 0.47
Virginia 244 0.54 0.57 0.55 0.57 0.53
Washington 242 0.50 0.51 0.50 0.55 0.49
West Virginia 239 0.42 0.42 0.42 0.41 0.42
Wisconsin 233 0.54 0.60 0.57 0.56 0.55
Wyoming 198 0.48 0.49 0.49 0.49 0.47
Other jurisdictions
District of Columbia 164 0.51 0.55 0.58 0.52 0.52
DoDEA3 230 0.47 0.53 0.53 0.53 0.53
1 (Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance.
2Excluding the constant term.
3 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), 2005 Mathematics Assessment.
Last updated 14 May 2009 (RF)

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