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| 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), 2022 Mathematics Assessment. | ||||||||||||||
| Total number of scaled items | 15 | 15 | 15 | 19 | 20 | 20 | 21 | 14 | 17 | 20 | 15 | 16 | 18 | 16 |
| Number of multiple-choice items | 4 | 3 | 4 | 15 | 16 | 16 | 17 | 1 | 6 | 16 | 5 | 5 | 10 | 6 |
| Number of dichotomously scored CR items | 8 | 5 | 5 | 1 | 2 | 1 | 4 | 8 | 6 | 1 | 6 | 5 | 3 | 7 |
| Number of polytomously scored CR items | 3 | 7 | 6 | 3 | 2 | 3 | 0 | 5 | 5 | 3 | 4 | 6 | 5 | 3 |
| Unweighted sample size | 15,200 | 15,300 | 15,300 | 15,500 | 15,400 | 15,400 | 15,300 | 16,500 | 17,000 | 17,200 | 15,300 | 15,200 | 16,600 | 16,600 |
| Weighted average item score | .54 | .40 | .53 | .37 | .44 | .43 | .49 | .30 | .38 | .49 | .56 | .52 | .45 | .48 |
| Weighted average R biserial/polyserial | .66 | .66 | .62 | .62 | .59 | .56 | .60 | .71 | .68 | .62 | .63 | .67 | .68 | .64 |
| Weighted alpha reliability | .76 | .80 | .77 | .83 | .81 | .78 | .81 | .78 | .82 | .85 | .75 | .80 | .83 | .79 |
| Weighted proportion of students attempting last item | .92 | .81 | .96 | .83 | .88 | .79 | .90 | .87 | .84 | .84 | .96 | .95 | .86 | .94 |