NAEP Analysis and Scaling → Estimation of NAEP Score Scales → Treatment of Items to Avoid Violations of Assumptions → Treatment of Items in NAEP Assessments → Treatment of Items in the Scaling of the 2009 Mathematics Scales

NAEP Technical DocumentationTreatment of Items in the Scaling of the 2009 Mathematics Scales

Items deleted from the final scaling, mathematics combined national and state main assessment, by block and grade: 2009

Grade	Block	Scale	NAEP ID	Reason for decision
† Not applicable. No items were deleted for grades 4 and 8 in the 2009 assessment. NOTE: The measurement and geometry scales were combined at grade 12. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
4	†	†	†	†
8	†	†	†	†
12	M5	Measurement and geometry	M185701	Poor fit

Cluster items created for final scaling, mathematics combined national and state main assessment, by block and grade: 2009

Grade	Block1	Scale	NAEP ID	Reason for decision	NAEP IDs of items contributing to cluster
1 Grade 12 common blocks M13–M22 were previously named M3–M12 in 2005. NOTE: The measurement and geometry scales were combined at grade 12. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
4	M11	Algebra	M1610CL	Multipart item	M161001, M161002
8	M7	Number sense, properties, and operations	M1685CL	Multipart item	M168501, M168502, M168503
	M8	Algebra	M1699CL	Multipart item	M169901, M169902, M169903, M169904
	M9	Measurement	M1657CL	Multipart item	M165701, M165702
12	M1	Data analysis, statistics, and probability	M1867CL	Multipart item	M186701, M186702
	M2	Algebra	M1809CL	Multipart item	M180901, M180902, M180903
	M3	Measurement and geometry	M1975CL	Multipart item	M197501, M197502, M197503
	M4	Data analysis, statistics, and probability	M1842CL	Multipart item	M184202, M184203, M184204
	M4	Data analysis, statistics, and probability	M1843CL	Multipart item	M184205, M184206
	M8	Measurement and geometry	M1943CL	Multipart item	M194301, M194302
	M10	Measurement and geometry	M1897CL	Multipart item	M189701, M189702, M189703
	M11	Algebra	M1765CL	Multipart item	M176501, M176502, M176503, M176504
	M14	Data analysis, statistics, and probability	M0716CL	Local dependence among items	M071603, M071604
	M15	Algebra	M0717CL	To match 2005 scaling	M071701, M071702
	M18	Data analysis, statistics, and probability	M0732CL	Was formed in 2005 prior to scaling	M073201, M073202, M073203, M073204
	M19	Algebra	M0707CL	Local dependence among items	M070701, M070702, M070703

Recoding of polytomous items for scaling, mathematics operational, by block and grade: 2009

Grade	Block1	Scale	NAEP ID	Reason for decision	Disposition
1 Grade 12 common blocks M13-M22 were previously named M3-M12 in 2005. NOTE: The measurement and geometry scales were combined at grade 12. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
4	M5	Number sense, properties, and operations	M085401	To match 2005 scaling	Collapse categories: 0,1,2,3,4 becomes: 0,1,2,3,3
	M7	Number sense, properties, and operations	M139801	To match 2004 precalibration scaling	Collapse categories: 0,1,2,3 becomes: 0,1,1,2
	M9	Number sense, properties, and operations	M0402CL	To match 2002 precalibration scaling	Collapse categories: 0,1,2 becomes: 0,0,1
	M5	Geometry	M085901	To match 2002 precalibration scaling	Collapse categories: 0,1,2 becomes: 0,0,1
	M6	Data analysis, statistics, and probability	M136901	To match 2004 precalibration scaling	Collapse categories: 0,1,2,3 becomes: 0,1,1,2
	M10	Algebra	M138401	To match 2004 precalibration scaling	Collapse categories: 0,1,2,3 becomes: 0,1,1,2
8	M6	Number sense, properties, and operations	M141301	To match 2004 precalibration scaling	Collapse categories: 0,1,2,3 becomes: 0,1,1,2
	M5	Geometry	M085701	To match 2003 scaling	Collapse categories: 0,1,2 becomes: 0,0,1
	M7	Geometry	M145101	To match 2004 precalibration scaling	Collapse categories: 0,1,2,3 becomes: 0,1,1,1
	M5	Data analysis, statistics, and probability	M053101	To match 2003 scaling	Collapse categories: 0,1,2,3,4 becomes: 0,1,2,2,3
	M9	Data analysis, statistics, and probability	M073501	To match 2002 precalibration scaling	Collapse categories: 0,1,2 becomes: 0,1,1
	M9	Data analysis, statistics, and probability	M093801	To match 2002 precalibration scaling	Collapse categories: 0,1,2,3,4 becomes: 0,1,2,3,3
	M4	Algebra	M152602	To match 2006 precalibration scaling	Collapse categories: 0,1,2,3,4 becomes: 0,1,1,2,3
	M7	Algebra	M144901	To match 2004 precalibration scaling	Collapse categories: 0,1,2,3 becomes: 0,1,1,2
12	M19	Measurement and geometry	M092901	To match 2004 precalibration scaling	Collapse categories: 0, 1, 2, 3, 4 becomes 0, 0, 1, 2, 2
	M2	Data analysis, statistics, and probability	M196802	Lack of fit	Collapse categories: 0, 1, 2 becomes 0, 1, 1
	M14	Data analysis, statistics, and probability	M071801	To match 2005 scaling	Collapse categories: 0, 1, 2, 3, 4 becomes 0, 1, 2, 3, 3
	M16	Data analysis, statistics, and probability	M132201	To match 2004 precalibration scaling	Collapse categories: 0, 1, 2, 3 becomes 0, 1, 1, 2
	M13	Algebra	M095401	To match 2004 precalibration scaling	Collapse categories: 0, 1, 2, 3 becomes 0, 1, 2, 2
	M15	Algebra	M0717CL	To match 2005 scaling	Collapse categories: 0, 1, 2, 3 becomes 0, 0, 1, 1
	M18	Algebra	M074101	To match 2004 precalibration scaling	Collapse categories: 0, 1, 2, 3, 4 becomes 0, 1, 2, 3, 3
	M22	Algebra	M133801	To match 2004 precalibration scaling	Collapse categories: 0, 1, 2, 3 becomes 0, 1, 1, 2

Items scaled separately by assessment year, mathematics combined national and state assessment, by block and grade: 2009

Grade	Block	Scale	NAEP ID	Type
† Not applicable. No items were scaled separately for grades 4 and 12 in the 2009 assessment. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
4	†	†	†	†
8	M12	Data analysis and probability	M153201	Polytomously-scored constructed response
12	†	†	†	†

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