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NAEP Weighting Procedures → Weighting Procedures and Variance Estimation for the 2001 National Main Assessment → Computation of School Weights → Replicate Weights and Variance Estimation → Replicate Variance Estimates at the School Level Before Nonresponse Adjustments

NAEP Technical DocumentationReplicate 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 π_i^–1 and
π_i^–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.

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