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Replicate Variance Estimates at the School Level Before Nonresponse Adjustments

The tables show national estimates and replicate estimates for the variance of the national estimates for the total number of fourth-, eighth-, and twelfth-graders, respectively, using the full original school sample and the CCD-estimated grade enrollment for the school, and using school weights πi–1 and
πi–1(r). The tables also show estimates by NAEP region and school type. The tables present the square root of the replicate variance estimates, which are the standard errors.

Estimates and replicate variance estimates of enrollment based on the school sample and frame enrollment counts, grade 4 national main assessment by region: 2001
Region Total Standard error of total Percent Standard error of percent
Total 4,034,520 116,377 100.00
Northeast 829,677 34,482 20.56 0.91
South 1,015,776 54,538 25.18 1.17
Midwest 890,964 71,300 22.08 1.48
West 1,298,104 64,002 32.17 1.28
† Not applicable.
NOTE: Detail may not sum to totals because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2001.
Estimates and replicate variance estimates of enrollment based on the school sample and frame enrollment counts, by school type, grade 4 national main assessment: 2001
School type Total Standard error of total Percent Standard error of percent
Total 4,034,520 116,377 100.00
Catholic 230,764 23,498 5.72 0.59
Non-religious private 54,690 14,382 1.36 0.36
Religious non-Catholic 123,662 27,272 3.07 0.66
Public 3,625,405 112,650 89.86 0.91
† Not applicable.
NOTE: Detail may not sum to totals because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2001.
Estimates and replicate variance estimates of enrollment based on the school sample and frame enrollment counts, grade 8 national main assessment by region: 2001
Region Total Standard error of total Percent Standard error of percent
Total 3,819,492 113,938 100.00
Northeast 877,340 36,985 22.97 0.87
South 844,185 41,883 22.10 1.06
Midwest 925,697 79,885 24.24 1.61
West 1,172,270 42,986 30.69 1.10
† Not applicable.
NOTE: Detail may not sum to totals because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2001.
Estimates and replicate variance estimates of enrollment based on the school sample and frame enrollment counts, by school type, grade 8 national main assessment: 2001
School type Total Standard error of total Percent Standard error of percent
Total 3,819,492 113,938 100.00
Catholic 193,421 20,885 5.06 0.54
Non-religious private 32,861 8,558 0.86 0.22
Religious non-Catholic 135,270 24,434 3.54 0.59
Public 3,457,939 100,455 90.53 0.81
† Not applicable.
NOTE: Detail may not sum to totals because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2001.
Estimates and replicate variance estimates of enrollment based on the school sample and frame enrollment counts, grade 12 national main assessment by region: 2001
Region Total Standard error of total Percent Standard error of percent
Total 3,051,335 85,361 100.00
Northeast 664,126 43,470 21.77 1.28
South 635,873 22,421 20.84 0.81
Midwest 785,429 40,747 25.74 1.10
West 965,908 54,703 31.66 1.36
† Not applicable.
NOTE: Detail may not sum to totals because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2001.
Estimates and replicate variance estimates of enrollment based on the school sample and frame enrollment counts, by school type, grade 12 national main assessment: 2001
School type Total Standard error of total Percent Standard error of percent
Total 3,051,335 85,361 100.00
Catholic 120,080 17,568 3.94 0.57
Non-religious private 41,952 12,313 1.37 0.40
Religious non-Catholic 62,291 11,567 2.04 0.38
Public 2,827,012 83,806 92.65 0.80
† Not applicable.
NOTE: Detail may not sum to totals because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2001.

Last updated 17 June 2008 (MH)

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