NAEP tdw - Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 12 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 12 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 12 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(footnote1Total 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	1497	.90	.67	.99	4	66	653	513	261
Student questionnaire	339	.90	.70	.99	1	30	123	109	76
Major reporting variables	94	.92	.77	.99	0	1	31	25	37
Interactions between reporting variables	435	.90	.67	.98	3	33	139	210	50
School questionnaire	597	.90	.83	.99	0	0	352	157	88
SD/ELL questionnaire	32	.91	.79	.98	0	2	8	12	10

Last updated 21 May 2017 (DC)