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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 Assessment, by Block: 2019
NAEP Technical DocumentationOverall Descriptive Statistics for Item Blocks as Defined After Scaling, Grade 4 Mathematics Combined National and State Assessment, by Block: 2019
| Statistic | Block M1 | Block M2 | Block M3 | Block M4 | Block M5 | Block M6 | Block M7 | Block M8 | Block M9 | Block M10 | Block M11 | Block M12 | Block M13 | Block M14 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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. | ||||||||||||||
| The "Weighted proportion of students attempting last item" is equal to 1 – (Percent not responding to last item / 100). Weights are applied to reflect sampling design. | ||||||||||||||
| CR = Constructed response. Item statistics in this table are described on the page Blocks of Items. | ||||||||||||||
| U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment. | ||||||||||||||
| Total number of scaled items | 17 | 18 | 14 | 20 | 19 | 20 | 18 | 13 | 17 | 20 | 16 | 17 | 17 | 16 |
| Number of multiple-choice items | 9 | 9 | 3 | 16 | 15 | 16 | 13 | 3 | 7 | 16 | 6 | 9 | 9 | 8 |
| Number of dichotomously scored CR items | 3 | 6 | 5 | 1 | 2 | 0 | 1 | 5 | 7 | 3 | 5 | 5 | 5 | 4 |
| Number of polytomously scored CR items | 5 | 3 | 6 | 3 | 2 | 4 | 4 | 5 | 3 | 1 | 5 | 3 | 3 | 4 |
| Unweighted sample size | 20,700 | 21,000 | 21,200 | 21,200 | 20,800 | 20,700 | 21,100 | 21,600 | 22,700 | 22,400 | 20,800 | 21,000 | 21,500 | 21,500 |
| Weighted average item score | .60 | .63 | .40 | .48 | .51 | .54 | .51 | .38 | .52 | .62 | .65 | .63 | .50 | .51 |
| Weighted average R biserial/polyserial | .59 | .63 | .57 | .57 | .59 | .53 | .56 | .56 | .65 | .64 | .70 | .73 | .63 | .65 |
| Weighted alpha reliability | .75 | .74 | .69 | .80 | .80 | .77 | .78 | .68 | .79 | .85 | .79 | .81 | .78 | .80 |
| Weighted proportion of students attempting last item | .92 | .85 | .87 | .81 | .84 | .88 | .84 | .70 | .75 | .86 | .93 | .79 | .85 | .83 |
Last updated 05 October 2023 (SK)