NAEP Technical DocumentationSample Design for the 2013 State Assessment

			Target Population Sampling Frame Stratification of Schools School Sample Selection Substitute Schools Ineligible Schools  Student Sample Selection  School and Student Participation

Each assessment cycle, a sample of students in designated grades within both public and private schools throughout the United States is selected for assessment. In state assessment years, of which 2013 is an example, the samples of public schools and their students in each state are large enough to support state-level estimates.

The NAEP 2013 state assessments covered fourth- and eighth-grade students in public schools for operational mathematics and reading. A representative sample of students was drawn in each participating jurisdiction, including the 50 states, the District of Columbia, Puerto Rico, Bureau of Indian Education (BIE) schools, Department of Defense Education Activity (DoDEA) schools, and in school districts chosen for the Trial Urban District Assessment (TUDA) study. The state operational mathematics and reading assessments also covered twelfth-grade students in public schools in 13 states for each subject. A representative sample of public school students was drawn in each participating jurisdiction.

All jurisdictions, including the TUDA districts, were included in the mathematics and reading assessments at grades 4 and 8, with the exception of Puerto Rico, where a special mathematics assessment was conducted instead of the operational mathematics and reading assessments. Also, BIE was not designed as a reportable jurisdiction for the 2013 state assessments, but a nationally representative sample of students in BIE schools was selected.

Generally for the state assessments, each non-TUDA jurisdiction sample is designed to produce aggregate estimates with approximately equal precision for all the participating jurisdictions, as well as estimates for various subpopulations of interest. The target sample size for these jurisdictions is 3,150 for each operational subject.  In 2013, the samples for operational mathematics and reading at grades 4 and 8 were designed in this fashion. At grades 4 and 8, the overall target student sample size for the operational samples in each non-TUDA jurisdiction was 6,600—3,150 each for mathematics and reading and 300 for pilot tests. For the mathematics assessment in Puerto Rico, the target sample size was 5,800 at grades 4 and 8. At grade 12, the target sample sizes varied by jurisdiction. Details can be found in the school sample selection.

The target population for the NAEP 2013 state assessment included students in public schools who were enrolled in grades 4, 8, and 12 at the time of assessment. The sampling frame included public schools having the relevant grade in each jurisdiction. The samples were selected based on a two-stage sample design:

• selection of schools within participating jurisdictions; and
• selection of students within schools.

From the stratified frame of public schools for each grade within each jurisdiction, a systematic random sample of grade-eligible schools was drawn with probability proportional to a measure of size based on the estimated grade-specific enrollment of the school.

For the TUDA study, schools were sampled from the 21 participating TUDA districts at the same time schools were selected for the jurisdiction samples. The TUDA districts are listed below:

• Albuquerque Public Schools, New Mexico;
• Atlanta Public Schools, Georgia;
• Austin Independent School District, Texas;
• Baltimore City Public Schools, Maryland;
• Boston Public Schools, Massachusetts;
• Charlotte-Mecklenburg Schools, North Carolina;
• Chicago Public Schools, Illinois;
• Cleveland Metropolitan School District, Ohio;
• Dallas Independent School District, Texas;
• Detroit Public Schools, Michigan;
• District of Columbia Public Schools, District of Columbia;
• Fresno Unified School District, California;
• Hillsborough County Public Schools, Florida;
• Houston Independent School District, Texas;
• Jefferson County Public Schools (Louisville), Kentucky;
• Los Angeles Unified School District, California;
• Miami-Dade County Public Schools, Florida;
• Milwaukee Public Schools, Wisconsin;
• New York City Department of Education, New York;
• School District of Philadelphia, Pennsylvania; and
• San Diego Unified School District, California.

These subsamples affected the design of the state samples in those states where TUDA districts were oversampled. In each of these states, there were distinct sampling rates for each TUDA district and for the balance of the state (i.e., the rest of the state not in a TUDA district).

Each selected school provided a list of eligible enrolled students from which a systematic sample of students was drawn. In fourth- and eighth-grade schools, 63 students, if possible, were selected from each school: 30 for mathematics, 30 for reading, and 3 for the pilot tests. In twelfth-grade schools, 60 students, if possible, were selected from each school: 30 for mathematics and 30 for reading. Details can be found in the student sample selection. 

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