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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 Student Level → Grade 4 Replicate Variance Estimates

NAEP Technical DocumentationGrade 4 Replicate Variance Estimates

These totals include all students whether assessed, absent, or excluded, and whatever their assessment (geography or U.S. history).

Estimates and replicate variance estimates of population student subgroup totals aggregated from the student base weights, grade 4 national main assessment: By region, 2001

Region	Total	Standard error of total	Percent	Standard error of percent
Total	3,928,519	109,429	100.00	†
Northeast	823,216	38,536	20.95	0.99
South	990,668	52,839	25.22	1.18
Midwest	870,130	68,529	22.15	1.45
West	1,244,506	56,337	31.68	1.20
† 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 population student subgroup totals aggregated from the student base weights, by school type, grade 4 national main assessment: 2001

School type	Estimate	Standard error	Percentage	Standard error
Total	3,928,519	109,429	100.00	†
Catholic	224,808	23,504	5.72	0.60
Non-religious private	51,773	12,935	1.32	0.33
Religious non-Catholic	124,313	27,278	3.16	0.68
Public	3,527,626	105,278	89.80	0.94
† 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 population student subgroup totals aggregated from the student base weights, grade 4 national main assessment, by race: 2001

Race/ethnicity	Estimate	Standard error	Percentage	Standard error
Total	3,928,519	109,429	100.00	†
White non-Hispanic	2,460,122	107,953	62.62	1.66
Black	679,552	48,884	17.30	1.25
Hispanic	611,358	55,050	15.56	1.40
Asian	119,706	13,790	3.05	0.35
Native American	29,748	10,765	0.76	0.27
Other	28,035	5,687	0.71	0.15
† 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 population student subgroup totals aggregated from the student base weights, grade 4 national main assessment, by gender: 2001

Gender	Estimate	Standard error	Percentage	Standard error
Total	3,926,289	109,430	100.00	†
Male	2,009,452	60,095	51.18	0.48
Female	1,916,837	55,709	48.82	0.48
† 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.

The tables above show the same replicate variance estimates, but using the nonresponse-adjusted and trimmed student weights prew_ij. The differences between this set of tables and the next set reflect the effects of dropping the absent students, the nonresponse adjustments to the remaining students, and the effects of the trimming step.

Estimates and replicate variance estimates of population student subgroup totals aggregated from the pre-poststratification student base weights, grade 4 national main assessment: By region, 2001

Region	Total	Standard error of total	Percent	Standard error of percent
Total	3,885,717	105,018	100.00	†
Northeast	823,377	38,536	21.19	0.99
South	950,899	44,226	24.47	1.05
Midwest	870,092	68,404	22.39	1.45
West	1,241,350	54,869	31.95	1.16
† 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 population student subgroup totals aggregated from the pre-poststratification student base weights, by school type, grade 4 national main assessment: 2001

School type	Estimate	Standard error	Percentage	Standard error
Total	3,885,717	105,018	100.00	†
Catholic	224,808	23,504	5.79	0.60
Non-religious private	51,773	12,935	1.33	0.33
Religious non-Catholic	124,313	27,278	3.20	0.69
Public	3,484,824	99,721	89.68	0.94
† 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 population student subgroup totals aggregated from the pre-poststratification student base weights, grade 4 national main assessment, by race: 2001

Race/ethnicity	Estimate	Standard error	Percentage	Standard error
Total	3,885,717	105,018	100.00	†
White non-Hispanic	2,424,982	103,851	62.41	1.66
Black	674,455	48,784	17.36	1.26
Hispanic	608,828	54,874	15.67	1.40
Asian	118,669	13,837	3.05	0.35
Native American	30,309	10,616	0.78	0.27
Other	28,474	5,756	0.73	0.15
† 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 population student subgroup totals aggregated from the pre-poststratification student base weights, grade 4 national main assessment, by gender: 2001

Gender	Estimate	Standard error	Percentage	Standard error
Total	3,883,580	104,989	100.00	†
Male	1,987,744	58,013	51.18	0.46
Female	1,895,836	52,867	48.82	0.46
† 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.

The tables replicate variance estimates for the same population student subgroup totals using the final student weights for fourth grade. Only reporting population 2 (R2) and U.S. history assessment weights are presented.

Estimates and replicate variance estimates of population student subgroup totals aggregated from the final student base weights, grade 4 U.S. history national main assessment (accommodations not permitted [R2]): By region, 2001

Region	Total	Standard error of total	Percent	Standard error of percent
Total	4,104,101	0.00	100.00	†
Northeast	885,296	33,357	21.57	0.81
South	982,309	54,210	23.96	1.32
Midwest	970,452	21,858	23.65	0.53
West	1,266,043	59,043	30.85	1.44
† 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 population student subgroup totals aggregated from the final student base weights, by school type, grade 4 U.S. history national main assessment (accommodations not permitted [R2]): 2001

School type	Estimate	Standard error	Percentage	Standard error
Total	4,104,101	0.00	100.00	†
Catholic	249,368	27,004	6.08	0.66
Non-religious private	59,281	14,840	1.44	0.36
Religious non-Catholic	135,799	31,439	3.31	0.77
Public	3,659,653	42,669	89.17	1.04
† 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 population student subgroup totals aggregated from the final student base weights, grade 4 U.S. history national main assessment (accommodations not permitted [R2]), by race: 2001

Race/ethnicity	Estimate	Standard error	Percentage	Standard error
Total	4,104,101	0.00	100.00	†
White non-Hispanic	2,754,730	21,713	67.12	0.53
Black	673,181	14,284	16.40	0.35
Hispanic	505,578	25,869	12.32	0.63
Asian	116,986	13,344	2.85	0.33
Native American	26,256	10,296	0.64	0.25
Other	27,371	5,694	0.67	0.14
† 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 population student subgroup totals aggregated from the final student base weights, grade 4 U.S. history national main assessment (accommodations not permitted [R2]), by gender: 2001

Gender	Estimate	Standard error	Percentage	Standard error
Total	4,102,917	612	100.00	†
Male	2,082,754	30,442	50.76	0.74
Female	2,020,163	30,369	49.24	0.74
† 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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