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HomeTDWNAEP Weighting ProceduresWeighting Procedures and Variance Estimation for the 2001 National Main AssessmentComputation of School WeightsReplicate Weights and Variance EstimationReplicate Variance Estimates at the Student LevelGrade 8 Replicate Variance Estimates

NAEP Technical DocumentationGrade 8 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 8 national main assessment: By region, 2001

Region	Total	Standard error of total	Percent	Standard error of percent
Total	3,667,445	102,697	100.00	†
Northeast	831,849	37,333	22.68	0.93
South	825,298	42,182	22.50	1.07
Midwest	863,740	69,173	23.55	1.50
West	1,146,558	41,606	31.26	1.05
† 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 8 national main assessment: 2001

School type	Estimate	Standard error	Percentage	Standard error
Total	3,667,445	102,697	100.00	†
Catholic	184,958	21,121	5.04	0.57
Non-religious private	28,266	7,898	0.77	0.22
Religious non-Catholic	139,429	25,147	3.80	0.63
Public	3,314,792	89,467	90.38	0.86
† 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 race, grade 8 national main assessment: 2001

Race/ethnicity	Estimate	Standard error	Percentage	Standard error
Total	3,667,445	102,697	100.00	†
White non-Hispanic	2,414,376	100,362	65.83	1.68
Black	529,418	48,832	14.44	1.24
Hispanic	532,748	45,790	14.53	1.22
Asian	140,456	25,310	3.83	0.67
Native American	33,292	9,251	0.91	0.25
Other	17,155	5,201	0.47	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 group totals aggregated from the student base weights, by gender, grade 8 national main assessment: 2001

Gender	Estimate	Standard error	Percentage	Standard error
Total	3,665,550	102,693	100.00	†
Male	1,859,515	53,814	50.73	0.35
Female	1,806,035	52,054	49.27	0.35
† 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 8 national main assessment: By region, 2001

Region	Total	Standard error of total	Percent	Standard error of percent
Total	3,636,578	101,754	100.00	†
Northeast	831,297	37,440	22.86	0.94
South	819,439	41,535	22.53	1.07
Midwest	864,144	69,422	23.76	1.52
West	1,121,699	40,224	30.84	1.03
† 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 8 national main assessment: 2001

School type	Estimate	Standard error	Percentage	Standard error
Total	3,636,578	101,574	100.00	†
Catholic	184,958	21,121	5.09	0.58
Non-religious private	28,266	7,898	0.78	0.22
Religious non-Catholic	139,429	25,147	3.83	0.64
Public	3,283,925	88,797	90.30	0.87
† 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 group totals aggregated from the pre-poststratification student base weights, by race, grade 8 national main assessment: 2001

Race/ethnicity	Estimate	Standard error	Percentage	Standard error
Total	3,636,578	101,754	100.00	†
White non-Hispanic	2,392,639	98,674	65.79	1.66
Black	526,014	43,993	14.46	1.25
Hispanic	531,431	45,565	14.61	1.21
Asian	138,692	22,773	3.81	0.61
Native American	31,717	8,584	0.87	0.23
Other	16,084	4,262	0.44	0.12
† 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 group totals aggregated from the pre-poststratification student base weights, by gender, grade 8 national main assessment: 2001

Gender	Estimate	Standard error	Percentage	Standard error
Total	3,634,965	101,706	100.00	†
Male	1,847,743	52,977	50.83	0.38
Female	1,787,222	52,448	49.17	0.38
† 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, eighth, and twelfth grades, respectively. Only reporting population 2 (R2) and U.S. history assessment weights are presented for brevity's sake.

Estimates and replicate variance estimates of population student subgroup totals aggregated from the final student base weights, grade 8 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	3,920,977	0.00	100.00	†
Northeast	840,167	22,609	21.43	0.58
South	886,147	44,700	22.60	1.14
Midwest	953,030	18,762	24.31	0.48
West	1,241,633	51,765	31.67	1.32
† 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 8 U.S. history national main assessment (accommodations not permitted [R2]), by school type: 2001

School type	Estimate	Standard error	Percentage	Standard error
Total	3,920,977	0.00	100.00	†
Catholic	196,636	23,427	5.02	0.60
Non-religious private	32,941	10,138	0.84	0.26
Religious non-Catholic	151,261	24,600	3.86	0.63
Public	3,540,139	35,986	90.29	0.92
† 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 8 U.S. history national main assessment (accommodations not permitted [R2]), by race: 2001

Race/ethnicity	Estimate	Standard error	Percentage	Standard error
Total	3,920,977	0.00	100.00	†
White non-Hispanic	2,684,035	17,066	68.45	0.44
Black	575,570	10,851	14.68	0.28
Hispanic	470,781	13,939	12.01	0.36
Asian	141,934	13,248	3.62	0.34
Native American	32,886	9,631	0.84	0.25
Other	15,771	4,216	0.40	0.11
† 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 8 U.S. history national main assessment (accommodations not permitted [R2]), by gender: 2001

Gender	Estimate	Standard error	Percentage	Standard error
Total	3,919,494	880	100.00	†
Male	1,975,142	23,711	50.39	0.61
Female	1,944,352	23,888	49.61	0.61
† 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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