NAEP tdw - Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 4 Mathematics Combined National and State Assessment: 2013

NAEP Analysis and Scaling → Estimation of Population and Student Group Distributions → Examining the Population-Structure Models Used in NAEP → Proportion of Variance Accounted For by Principal Components Used in NAEP Population-Structure Models → Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 4 Mathematics Combined National and State Assessment: 2013

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 4 mathematics combined national and state assessment: 2013
Type of contrast	Number of contrasts	Mean	Minimum	Maximum	Number of contrasts by proportion¹ of variance explained
Type of contrast	Number of contrasts	Mean	Minimum	Maximum	.00 - .70	.70 - .80	.80 - .90	.90 - .95	.95 - 1.00
¹(Total Variance – Residual Variance)/Total Variance, where Total Variance consists of sampling, measurement, and other sources of error. NOTE: SD/ELL = Students with disabilities/English language learners. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2013 Mathematics Assessment.
All contrasts	1521	.90	.61	1.00	16	60	598	515	332
Student questionnaire	116	.88	.65	.99	9	13	28	34	32
Major reporting variables	129	.92	.66	1.00	2	2	35	37	53
Interactions between reporting variables	282	.89	.61	.98	5	15	98	126	38
Teacher questionnaire	490	.91	.71	.99	0	13	178	147	152
School questionnaire	463	.89	.75	.98	0	15	246	164	38
SD/ELL questionnaire	41	.91	.77	.99	0	2	13	7	19

Last updated 21 May 2017 (DC)