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NAEP Analysis and Scaling → Estimation of NAEP Scale Scores → NAEP Scales → Scale Composition by Item Type for New and Trend Blocks → Mathematics Assessment Subscale Composition for New and Previously Administered Blocks at Grade 8

NAEP Technical DocumentationMathematics Assessment Subscale Composition for New and Previously Administered Blocks at Grade 8

Each mathematics assessment includes blocks of new items and blocks of items from previous assessments. For the new items and for the previously administered items in each mathematics scale, the number of multiple-choice, dichotomously scored constructed-response and polytomously scored constructed-response items are provided at grade 8. The item counts are available for each scale as defined in the final Item Response Theory (IRT) scales.

Subscale composition for new blocks as defined after scaling, grade 8 mathematics combined national and state main assessment, by item type: 2007

Subscale	Multiple-choice items		Dichotomously scored constructed-response items		Polytomously scored constructed-response items
	Scaled	Dropped	Scaled	Dropped	Polytomous uncollapsed	Dichotomous collapsed	Polytomous collapsed	Dropped
Total	36	0	3	0	6	0	1	0
Number sense, properties, and operations	3	0	0	0	1	0	0	0
Measurement	7	0	1	0	1	0	0	0
Geometry and spatial sense	7	0	0	0	1	0	0	0
Data analysis, statistics, and probability	5	0	0	0	2	0	0	0
Algebra and functions	14	0	2	0	1	0	1	0
NOTE: "Dropped" denotes items that were deleted from the final scaling. "Collapsed" denotes items that had categories that were combined and recoded for scaling. Some items were administered previously under different contexts. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2007 Mathematics Assessment.

Subscale composition for previously administered blocks as defined after scaling, grade 8 mathematics combined national and state main assessment, by item type: 2007

Subscale	Multiple-choice items			Dichotomously scored constructed-response items			Polytomously scored constructed-response items
	Concurrent	Split	Dropped	Concurrent	Split	Dropped	Concurrent polytomous uncollapsed	Concurrent dichotomous collapsed	Concurrent polytomous collapsed	Split	Dropped
Total	85	0	2	14	0	0	15	3	4	0	0
Number sense, properties, and operations	25	0	1	4	0	0	3	0	1	0	0
Measurement	17	0	0	2	0	0	0	0	0	0	0
Geometry and spatial sense	14	0	0	3	0	0	5	2	0	0	0
Data analysis, statistics, and probability	10	0	1	2	0	0	3	1	2	0	0
Algebra and functions	19	0	0	3	0	0	4	0	1	0	0
NOTE: "Concurrent" denotes items that were scaled as common items across assessment years. "Split" denotes items that were scaled as different items in each assessment year. "Dropped" denotes items that were deleted from the final scaling. "Collapsed" denotes items that had categories that were combined and recoded for scaling. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2007 Mathematics Assessment.

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