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NAEP Analysis and Scaling → Initial Activities → Classical Item Analysis → Overall Descriptive Statistics for Item Blocks as Defined After Scaling, Grade 4 Mathematics Combined National and State Main Assessment: 2005

NAEP Technical DocumentationOverall descriptive statistics for item blocks as defined after scaling, grade 4 mathematics combined national and state main assessment: 2005

Statistic	Item type	Block M3	Block M4	Block M5	Block M6	Block M7	Block M8	Block M9	Block M10	Block M11	Block M12
Number of scaled items	Total	18	14	15	16	16	19	18	16	18	18
	Multiple choice	8	5	7	13	11	13	10	12	15	14
	Dichotomously scored constructed response	5	5	3	1	1	2	3	2	1	3
	Polytomously scored constructed response	5	4	5	2	4	4	5	2	2	1
Unweighted sample size	†	33,000	35,000	33,200	35,600	34,000	34,800	33,800	35,500	33,500	35,000
Weighted average item score	†	0.54	0.51	0.50	0.58	0.49	0.55	0.57	0.56	0.59	0.62
Weighted average polyserial	†	0.61	0.64	0.57	0.59	0.55	0.53	0.62	0.59	0.59	0.58
Weighted alpha reliability	†	0.81	0.77	0.78	0.76	0.69	0.76	0.80	0.73	0.78	0.76
Weighted proportion of students attempting last item1	†	0.91	0.89	0.68	0.94	0.85	0.66	0.87	0.95	0.93	0.97
† Not applicable. 1 The "Weighted proportion of students attempting last item" is equal to 1 - (Percent not responding to last item /100). NOTE: Item statistics in this table are described on the page Blocks of Items. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2005 Mathematics Assessment.

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