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NAEP Analysis and ScalingInitial ActivitiesClassical Item Analysis → Overall Descriptive Statistics for Item Blocks as Defined After Scaling, Grade 8 Mathematics Combined National and State Assessment, by Block and Item Type: 2015

NAEP Technical DocumentationOverall Descriptive Statistics for Item Blocks as Defined After Scaling, Grade 8 Mathematics Combined National and State Assessment, by Block and Item Type: 2015

Overall descriptive statistics for item blocks as defined after scaling, grade 8 mathematics combined national and state assessment, by block and item type: 2015
StatisticItem typeBlock M3Block M4Block M5Block M6Block M7Block M8Block M9Block M10Block M11Block M12
Number of scaled itemsTotal14141515151515151715
Multiple choice9111111101212111211
Dichotomously scored constructed-response0011301003
Polytomously scored constructed-response5333232451
Unweighted sample size26,500
26,300
26,500
26,400
29,600
29,300
29,400
26,600
26,500
26,500
Weighted average item score1.52.45.46.47.44.53.59.55.46.55
Weighted average polyserial.62.67.54.65.63.70.69.62.59.62
Weighted alpha reliability.75.80.72.81.77.84.82.77.79.74
Weighted proportion of students attempting last item2.86.92.79.90.90.96.93.88.83.81
 Not applicable.
1 The "Weighted average item score" of polytomous items is standardized to have a scale of 0 to 1 so they are comparable to dichotomously scored items.
2 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), 2015 Mathematics Assessment.

Last updated 05 November 2021 (ML)