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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 Main Assessment, by Subscale and Jurisdiction, 2005
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, grade 8 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 239 0.65 0.67 0.66 0.64 0.65
Alaska 100 0.34 0.31 0.29 0.34 0.32
Arizona 280 0.59 0.63 0.59 0.69 0.65
Arkansas 268 0.66 0.71 0.67 0.70 0.67
California 411 0.60 0.59 0.57 0.59 0.61
Colorado 266 0.69 0.65 0.65 0.67 0.70
Connecticut 255 0.68 0.70 0.66 0.71 0.70
Delaware 196 0.59 0.61 0.58 0.61 0.61
Florida 329 0.61 0.61 0.60 0.68 0.63
Georgia 292 0.63 0.64 0.60 0.64 0.66
Hawaii 231 0.64 0.64 0.61 0.63 0.65
Idaho 263 0.61 0.60 0.59 0.64 0.64
Illinois 288 0.68 0.70 0.66 0.67 0.70
Indiana 259 0.63 0.64 0.61 0.63 0.63
Iowa 251 0.66 0.66 0.61 0.65 0.68
Kansas 261 0.62 0.65 0.61 0.62 0.65
Kentucky 268 0.56 0.59 0.56 0.59 0.63
Louisiana 245 0.63 0.64 0.64 0.65 0.63
Maine 246 0.64 0.63 0.60 0.61 0.66
Maryland 270 0.67 0.68 0.66 0.68 0.69
Massachusetts 283 0.63 0.63 0.65 0.64 0.68
Michigan 252 0.66 0.69 0.65 0.67 0.66
Minnesota 265 0.66 0.63 0.64 0.65 0.67
Mississippi 250 0.59 0.64 0.65 0.69 0.64
Missouri 257 0.63 0.63 0.61 0.65 0.66
Montana 250 0.63 0.60 0.60 0.60 0.62
Nebraska 254 0.66 0.67 0.66 0.64 0.69
Nevada 256 0.62 0.61 0.59 0.60 0.59
New Hampshire 229 0.63 0.63 0.61 0.66 0.62
New Jersey 271 0.69 0.70 0.68 0.70 0.71
New Mexico 273 0.66 0.65 0.64 0.67 0.68
New York 327 0.61 0.62 0.60 0.62 0.62
North Carolina 296 0.63 0.62 0.59 0.62 0.64
North Dakota 230 0.57 0.55 0.57 0.64 0.55
Ohio 259 0.62 0.66 0.61 0.64 0.64
Oklahoma 283 0.65 0.64 0.64 0.67 0.65
Oregon 277 0.62 0.58 0.61 0.62 0.66
Pennsylvania 266 0.69 0.69 0.65 0.70 0.69
Rhode Island 220 0.66 0.63 0.58 0.67 0.67
South Carolina 270 0.65 0.68 0.64 0.71 0.63
South Dakota 248 0.60 0.56 0.56 0.62 0.63
Tennessee 240 0.67 0.65 0.61 0.65 0.65
Texas 358 0.59 0.58 0.55 0.63 0.63
Utah 280 0.62 0.64 0.65 0.65 0.68
Vermont 225 0.63 0.55 0.56 0.59 0.63
Virginia 279 0.66 0.71 0.69 0.67 0.68
Washington 284 0.68 0.62 0.64 0.63 0.65
West Virginia 242 0.63 0.63 0.67 0.62 0.64
Wisconsin 256 0.63 0.64 0.66 0.66 0.65
Wyoming 215 0.64 0.60 0.60 0.63 0.67
Other jurisdictions
District of Columbia 185 0.62 0.65 0.62 0.65 0.64
DoDEA3 213 0.65 0.64 0.68 0.68 0.66
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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