Chapter 8 Performance and Measurement Precision Using the Adjusted Blueprint

8.1 Introduction

This chapter addresses student performance and operational test functioning with regard to precision and reliability when the adjusted (shortened) blueprint was used for the spring 2020-21 administration. Some states who used the adjusted blueprint permitted remote proctoring, so results are provided showing the numbers of tests completed in person versus remotely. Measurement bias from the simulations produced by Cambium Assessment are provided, along with reliability, classification accuracy, standard errors of measurement, and overall score and achievement level results based on student data provided by California, Delaware, Hawaii, Idaho, Oregon, and the U.S. Virgin Islands. Use of claim scores for individual students were not recommended with this blueprint because of the small number of items per claim. High school results are not presented separately by grade in order to prevent test results from being associated with states.

8.2 Modes of Administration

Table 8.1 through Table 8.14 present counts of summative assessment administrations by mode (i.e., remote or in-person). All assessments based on the adjusted blueprint were online, as the paper/pencil option was unavailable. These counts are presented at the aggregate level and disaggregated by gender, race/ethnicity, and various status flags: limited English proficiency (LEP status), IDEA indicator, Section 504, and economically disadvantaged.

Table 8.1: COUNT OF GRADE 3 ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 137,923 115,493 83.7 22,430 16.3
Female 67,807 56,823 83.8 10,984 16.2
Male 70,114 58,670 83.7 11,444 16.3
American Indian or Alaska Native 2,478 1,247 50.3 1,231 49.7
Asian 12,519 11,156 89.1 1,363 10.9
Black/African American 6,533 4,309 66.0 2,224 34.0
Native Hawaiian or Pacific Islander 3,802 3,525 92.7 277 7.3
Hispanic/Latino Ethnicity 49,961 45,513 91.1 4,448 8.9
White 62,373 43,969 70.5 18,404 29.5
Two or More Races 7,611 7,261 95.4 350 4.6
Unidentified Race 11,517 6,038 52.4 5,479 47.6
LEP Status 26,223 23,740 90.5 2,483 9.5
IDEA Indicator 15,703 12,426 79.1 3,277 20.9
Section 504 Status 1,972 1,441 73.1 531 26.9
Economic Disadvantage Status 72,682 55,558 76.4 17,124 23.6
Table 8.2: COUNT OF GRADE 4 ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 127,363 118,655 93.2 8,708 6.8
Female 62,619 58,360 93.2 4,259 6.8
Male 64,744 60,295 93.1 4,449 6.9
American Indian or Alaska Native 1,531 1,333 87.1 198 12.9
Asian 11,991 11,381 94.9 610 5.1
Black/African American 6,229 4,388 70.4 1,841 29.6
Native Hawaiian or Pacific Islander 3,514 3,479 99.0 35 1.0
Hispanic/Latino Ethnicity 48,649 46,887 96.4 1,762 3.6
White 51,585 45,761 88.7 5,824 11.3
Two or More Races 7,398 7,052 95.3 346 4.7
Unidentified Race 7,995 6,123 76.6 1,872 23.4
LEP Status 22,718 21,491 94.6 1,227 5.4
IDEA Indicator 14,989 13,511 90.1 1,478 9.9
Section 504 Status 2,309 1,987 86.1 322 13.9
Economic Disadvantage Status 60,418 56,746 93.9 3,672 6.1
Table 8.3: COUNT OF GRADE 5 ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 129,338 121,030 93.6 8,308 6.4
Female 63,440 59,418 93.7 4,022 6.3
Male 65,897 61,612 93.5 4,285 6.5
American Indian or Alaska Native 1,590 1,442 90.7 148 9.3
Asian 12,365 11,791 95.4 574 4.6
Black/African American 6,183 4,360 70.5 1,823 29.5
Native Hawaiian or Pacific Islander 3,655 3,633 99.4 22 0.6
Hispanic/Latino Ethnicity 49,813 48,142 96.6 1,671 3.4
White 51,932 46,406 89.4 5,526 10.6
Two or More Races 7,321 6,994 95.5 327 4.5
Unidentified Race 7,860 6,097 77.6 1,763 22.4
LEP Status 19,992 18,990 95.0 1,002 5.0
IDEA Indicator 15,023 13,661 90.9 1,362 9.1
Section 504 Status 2,856 2,472 86.6 384 13.4
Economic Disadvantage Status 61,547 58,344 94.8 3,203 5.2
Table 8.4: COUNT OF GRADE 6 ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 143,086 121,849 85.2 21,237 14.8
Female 69,506 59,270 85.3 10,236 14.7
Male 73,562 62,579 85.1 10,983 14.9
American Indian or Alaska Native 2,766 1,374 49.7 1,392 50.3
Asian 12,101 10,897 90.1 1,204 9.9
Black/African American 7,215 5,124 71.0 2,091 29.0
Native Hawaiian or Pacific Islander 3,191 2,962 92.8 229 7.2
Hispanic/Latino Ethnicity 54,855 50,372 91.8 4,483 8.2
White 63,707 46,320 72.7 17,387 27.3
Two or More Races 6,574 6,318 96.1 256 3.9
Unidentified Race 11,717 6,296 53.7 5,421 46.3
LEP Status 19,819 18,318 92.4 1,501 7.6
IDEA Indicator 16,983 13,837 81.5 3,146 18.5
Section 504 Status 3,511 2,703 77.0 808 23.0
Economic Disadvantage Status 75,928 59,644 78.6 16,284 21.4
Table 8.5: COUNT OF GRADE 7 ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 153,588 134,509 87.6 19,079 12.4
Female 74,940 65,915 88.0 9,025 12.0
Male 78,633 68,594 87.2 10,039 12.8
American Indian or Alaska Native 2,846 1,564 55.0 1,282 45.0
Asian 13,806 12,814 92.8 992 7.2
Black/African American 7,376 5,494 74.5 1,882 25.5
Native Hawaiian or Pacific Islander 3,431 3,224 94.0 207 6.0
Hispanic/Latino Ethnicity 60,731 56,953 93.8 3,778 6.2
White 64,485 48,803 75.7 15,682 24.3
Two or More Races 6,985 6,744 96.5 241 3.5
Unidentified Race 11,642 7,023 60.3 4,619 39.7
LEP Status 19,364 18,158 93.8 1,206 6.2
IDEA Indicator 17,569 14,833 84.4 2,736 15.6
Section 504 Status 4,072 3,216 79.0 856 21.0
Economic Disadvantage Status 80,485 66,091 82.1 14,394 17.9
Table 8.6: COUNT OF GRADE 8 ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 142,356 135,552 95.2 6,804 4.8
Female 68,938 65,801 95.4 3,137 4.6
Male 73,415 69,751 95.0 3,664 5.0
American Indian or Alaska Native 1,818 1,590 87.5 228 12.5
Asian 13,272 12,909 97.3 363 2.7
Black/African American 7,119 5,687 79.9 1,432 20.1
Native Hawaiian or Pacific Islander 3,199 3,180 99.4 19 0.6
Hispanic/Latino Ethnicity 59,333 57,901 97.6 1,432 2.4
White 53,554 48,887 91.3 4,667 8.7
Two or More Races 6,627 6,412 96.8 215 3.2
Unidentified Race 8,525 7,006 82.2 1,519 17.8
LEP Status 16,840 16,248 96.5 592 3.5
IDEA Indicator 15,861 14,721 92.8 1,140 7.2
Section 504 Status 4,095 3,736 91.2 359 8.8
Economic Disadvantage Status 69,128 66,561 96.3 2,567 3.7
Table 8.7: COUNT OF HIGH SCHOOL ELA/LITERACY ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 252,844 248,025 98.1 4,819 1.9
Female 126,925 124,806 98.3 2,119 1.7
Male 125,902 123,219 97.9 2,683 2.1
American Indian or Alaska Native 2,948 2,368 80.3 580 19.7
Asian 27,487 27,206 99.0 281 1.0
Black/African American 9,822 9,692 98.7 130 1.3
Native Hawaiian or Pacific Islander 3,179 3,097 97.4 82 2.6
Hispanic/Latino Ethnicity 122,347 121,379 99.2 968 0.8
White 78,803 74,595 94.7 4,208 5.3
Two or More Races 8,126 7,758 95.5 368 4.5
Unidentified Race 13,439 12,128 90.2 1,311 9.8
LEP Status 20,434 20,284 99.3 150 0.7
IDEA Indicator 21,706 21,134 97.4 572 2.6
Section 504 Status 7,364 7,118 96.7 246 3.3
Economic Disadvantage Status 134,780 130,103 96.5 4,677 3.5
Table 8.8: COUNT OF GRADE 3 MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 129,749 120,755 93.1 8,994 6.9
Female 63,772 59,401 93.1 4,371 6.9
Male 65,977 61,354 93.0 4,623 7.0
American Indian or Alaska Native 1,454 1,252 86.1 202 13.9
Asian 12,214 11,541 94.5 673 5.5
Black/African American 6,590 4,785 72.6 1,805 27.4
Native Hawaiian or Pacific Islander 3,629 3,599 99.2 30 0.8
Hispanic/Latino Ethnicity 50,207 48,481 96.6 1,726 3.4
White 50,952 44,852 88.0 6,100 12.0
Two or More Races 7,929 7,578 95.6 351 4.4
Unidentified Race 8,048 6,193 77.0 1,855 23.0
LEP Status 26,123 24,760 94.8 1,363 5.2
IDEA Indicator 14,485 13,013 89.8 1,472 10.2
Section 504 Status 1,764 1,509 85.5 255 14.5
Economic Disadvantage Status 62,328 58,481 93.8 3,847 6.2
Table 8.9: COUNT OF GRADE 4 MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 146,294 123,893 84.7 22,401 15.3
Female 71,953 61,027 84.8 10,926 15.2
Male 74,338 62,866 84.6 11,472 15.4
American Indian or Alaska Native 2,608 1,328 50.9 1,280 49.1
Asian 13,111 11,773 89.8 1,338 10.2
Black/African American 7,176 4,939 68.8 2,237 31.2
Native Hawaiian or Pacific Islander 3,802 3,545 93.2 257 6.8
Hispanic/Latino Ethnicity 54,331 49,775 91.6 4,556 8.4
White 64,989 46,648 71.8 18,341 28.2
Two or More Races 7,715 7,371 95.5 344 4.5
Unidentified Race 11,842 6,264 52.9 5,578 47.1
LEP Status 24,695 22,388 90.7 2,307 9.3
IDEA Indicator 17,490 14,103 80.6 3,387 19.4
Section 504 Status 2,741 2,079 75.8 662 24.2
Economic Disadvantage Status 76,966 59,663 77.5 17,303 22.5
Table 8.10: COUNT OF GRADE 5 MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 134,689 126,211 93.7 8,478 6.3
Female 66,058 61,944 93.8 4,114 6.2
Male 68,630 64,267 93.6 4,363 6.4
American Indian or Alaska Native 1,628 1,452 89.2 176 10.8
Asian 12,732 12,143 95.4 589 4.6
Black/African American 6,714 4,900 73.0 1,814 27.0
Native Hawaiian or Pacific Islander 3,732 3,707 99.3 25 0.7
Hispanic/Latino Ethnicity 52,791 51,057 96.7 1,734 3.3
White 52,899 47,216 89.3 5,683 10.7
Two or More Races 7,641 7,321 95.8 320 4.2
Unidentified Race 8,072 6,239 77.3 1,833 22.7
LEP Status 20,683 19,653 95.0 1,030 5.0
IDEA Indicator 15,657 14,283 91.2 1,374 8.8
Section 504 Status 2,965 2,582 87.1 383 12.9
Economic Disadvantage Status 64,539 61,159 94.8 3,380 5.2
Table 8.11: COUNT OF GRADE 6 MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 129,971 121,780 93.7 8,191 6.3
Female 63,117 59,187 93.8 3,930 6.2
Male 66,853 62,593 93.6 4,260 6.4
American Indian or Alaska Native 1,593 1,372 86.1 221 13.9
Asian 11,301 10,755 95.2 546 4.8
Black/African American 6,694 5,040 75.3 1,654 24.7
Native Hawaiian or Pacific Islander 3,004 2,977 99.1 27 0.9
Hispanic/Latino Ethnicity 52,091 50,341 96.6 1,750 3.4
White 52,207 46,552 89.2 5,655 10.8
Two or More Races 6,548 6,302 96.2 246 3.8
Unidentified Race 8,102 6,231 76.9 1,871 23.1
LEP Status 19,175 18,365 95.8 810 4.2
IDEA Indicator 15,078 13,824 91.7 1,254 8.3
Section 504 Status 3,104 2,726 87.8 378 12.2
Economic Disadvantage Status 62,943 59,519 94.6 3,424 5.4
Table 8.12: COUNT OF GRADE 7 MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 153,018 134,101 87.6 18,917 12.4
Female 74,573 65,631 88.0 8,942 12.0
Male 78,431 68,470 87.3 9,961 12.7
American Indian or Alaska Native 2,834 1,554 54.8 1,280 45.2
Asian 13,588 12,599 92.7 989 7.3
Black/African American 7,213 5,361 74.3 1,852 25.7
Native Hawaiian or Pacific Islander 3,464 3,261 94.1 203 5.9
Hispanic/Latino Ethnicity 60,537 56,775 93.8 3,762 6.2
White 64,483 48,932 75.9 15,551 24.1
Two or More Races 6,992 6,757 96.6 235 3.4
Unidentified Race 11,568 6,968 60.2 4,600 39.8
LEP Status 19,396 18,179 93.7 1,217 6.3
IDEA Indicator 17,464 14,765 84.5 2,699 15.5
Section 504 Status 4,096 3,246 79.2 850 20.8
Economic Disadvantage Status 80,110 65,837 82.2 14,273 17.8
Table 8.13: COUNT OF GRADE 8 MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 152,151 134,594 88.5 17,557 11.5
Female 73,472 65,307 88.9 8,165 11.1
Male 78,657 69,287 88.1 9,370 11.9
American Indian or Alaska Native 2,734 1,543 56.4 1,191 43.6
Asian 13,588 12,689 93.4 899 6.6
Black/African American 7,183 5,489 76.4 1,694 23.6
Native Hawaiian or Pacific Islander 3,405 3,205 94.1 200 5.9
Hispanic/Latino Ethnicity 60,980 57,503 94.3 3,477 5.7
White 63,295 48,851 77.2 14,444 22.8
Two or More Races 6,602 6,388 96.8 214 3.2
Unidentified Race 11,190 6,948 62.1 4,242 37.9
LEP Status 17,189 16,205 94.3 984 5.7
IDEA Indicator 17,102 14,647 85.6 2,455 14.4
Section 504 Status 4,546 3,727 82.0 819 18.0
Economic Disadvantage Status 79,287 66,041 83.3 13,246 16.7
Table 8.14: COUNT OF HIGH SCHOOL MATHEMATICS ADMINISTRATIONS BY MODE FOR SELECTED DEMOGRAPHIC GROUPS
Group Total N Remote N Remote P In-Person N In-Person P
Total 245,224 240,358 98.0 4,866 2.0
Female 122,858 120,706 98.2 2,152 1.8
Male 122,350 119,652 97.8 2,698 2.2
American Indian or Alaska Native 2,866 2,303 80.4 563 19.6
Asian 26,910 26,623 98.9 287 1.1
Black/African American 9,525 9,396 98.6 129 1.4
Native Hawaiian or Pacific Islander 3,190 3,109 97.5 81 2.5
Hispanic/Latino Ethnicity 117,973 117,020 99.2 953 0.8
White 77,023 72,754 94.5 4,269 5.5
Two or More Races 7,815 7,455 95.4 360 4.6
Unidentified Race 13,255 11,958 90.2 1,297 9.8
LEP Status 19,785 19,652 99.3 133 0.7
IDEA Indicator 20,964 20,400 97.3 564 2.7
Section 504 Status 7,163 6,919 96.6 244 3.4
Economic Disadvantage Status 130,216 125,481 96.4 4,735 3.6

8.3 Measurement Bias

Prior to the release of the 2020-21 item pool, Cambium Assessment carried out simulation studies to ensure that the item pool, combined with the adaptive test administration algorithm, would produce satisfactory tests with regard to measurement bias and random measurement error as a function of student achievement, overall reliability, fulfillment of test blueprints, and item exposure. Simulation results for measurement bias with the adjusted blueprint are provided in this section. Measurement bias is systematic error between the true and estimated proficiency values.

Simulations for the 2020-21 administration were performed for each grade within a subject area for the standard item pool (English) and for accommodation item pools of braille and Spanish for mathematics and braille for ELA/literacy. Simulated item responses were generated based on assumed values for true student proficiency (drawn from normal distributions using parameters based on operational scores from the 2018-19 administration) and the operational item parameters. For the standard item pools, the number of simulees was 3,000 for grades 3-8 and 5,000 for grade 11. For the braille and Spanish pools, the number of simulees was 1,000 for grades 3-8 and 2,000 for grade 11. Estimated ability ( \(\hat{\theta}\) ) was calculated from the simulated tests using maximum likelihood estimation (MLE) as described in the Smarter Balanced Test Scoring Specifications. (Smarter Balanced, 2022c).

Table 8.15 and Table 8.17 show for ELA/literacy and mathematics, respectively, the bias in estimates of student proficiency based on the adjusted blueprint. Under the hypothesis of no bias, approximately 5% and 1% of the \(\theta_{i}\) will fall outside, respectively, 95% and 99% confidence intervals centered on \(\theta_{i}\). The mean bias for simulees at each decile of proficiency is provided in Table 8.16 and Table 8.18 for ELA/literacy and mathematics, respectively.

In most cases, mean bias was small and the percentage of simulated examinees with estimated achievement scores outside the confidence intervals centered on their true score was close to expected values of 5% or 1% (for the 95% and 99% confidence intervals, respectively). For grade 11 mathematics, there was mild elevation in average bias, along with mild deviation from expected confidence interval coverage. This was probably due to underestimation of theta in regions of student achievement far below the lowest cut score which was true for all grades but more extreme for mathematics grade 11. Estimation bias was negligible near all cut scores in all cases.

Table 8.15: BIAS OF THE ESTIMATED PROFICIENCIES: ELA/LITERACY
Pool Grade Mean Bias SE (Bias) MSE 95% CI Miss Rate 99% CI Miss Rate
Standard 3 -0.01 0.01 0.22 4.78% 0.80%
4 0.00 0.01 0.25 4.40% 0.87%
5 -0.01 0.01 0.25 5.27% 0.90%
6 -0.01 0.01 0.26 5.54% 0.83%
7 0.01 0.01 0.27 4.87% 0.67%
8 -0.01 0.01 0.25 4.60% 0.70%
11 0.00 0.01 0.33 4.52% 0.80%
Braille 3 0.00 0.02 0.23 4.91% 1.00%
4 0.01 0.02 0.32 5.12% 0.70%
5 -0.01 0.02 0.24 4.20% 0.60%
6 -0.02 0.02 0.25 4.71% 0.80%
7 -0.01 0.02 0.36 5.71% 1.20%
8 -0.01 0.02 0.32 5.50% 1.00%
11 -0.02 0.01 0.42 4.61% 0.65%


Table 8.16: AVERAGE BIAS OF THE ESTIMATED PROFICIENCIES BY DECILE: ELA/LITERACY
Pool Grade 1 2 3 4 5 6 7 8 9 10
Standard 3 0.41 0.13 0.09 0.01 0.03 -0.05 -0.10 -0.10 -0.15 -0.39
4 0.37 0.21 0.11 0.03 0.04 -0.03 -0.12 -0.09 -0.11 -0.44
5 0.35 0.20 0.12 0.03 0.01 -0.02 -0.09 -0.08 -0.22 -0.43
6 0.43 0.14 0.12 0.04 0.03 0.01 -0.09 -0.13 -0.21 -0.45
7 0.42 0.19 0.16 0.08 0.04 0.05 -0.07 -0.15 -0.21 -0.43
8 0.44 0.12 0.09 0.08 0.01 -0.04 -0.06 -0.08 -0.23 -0.40
11 0.48 0.21 0.10 0.06 0.03 -0.03 -0.08 -0.12 -0.20 -0.48
Braille 3 0.42 0.24 0.07 -0.01 0.01 0.02 -0.07 -0.07 -0.17 -0.47
4 0.49 0.17 0.10 0.10 0.06 0.03 -0.07 -0.12 -0.25 -0.46
5 0.31 0.12 0.14 0.07 0.01 0.01 -0.08 -0.09 -0.21 -0.40
6 0.39 0.14 0.22 0.01 0.02 -0.13 -0.15 -0.10 -0.21 -0.42
7 0.47 0.22 0.13 0.09 0.05 -0.03 -0.06 -0.17 -0.22 -0.63
8 0.48 0.21 0.20 0.05 -0.04 -0.06 -0.01 -0.16 -0.25 -0.56
11 0.58 0.15 0.14 0.07 0.04 -0.04 -0.11 -0.17 -0.23 -0.63


Table 8.17: BIAS OF THE ESTIMATED PROFICIENCIES: MATHEMATICS
Pool Grade Mean Bias SE (Bias) MSE 95% CI Miss Rate 99% CI Miss Rate
Standard 3 0.01 0.01 0.14 4.67% 0.70%
4 0.02 0.01 0.15 4.87% 0.87%
5 0.03 0.01 0.21 4.97% 0.97%
6 0.01 0.01 0.26 5.16% 1.10%
7 0.02 0.01 0.33 4.48% 1.01%
8 0.05 0.01 0.39 4.33% 1.04%
11 0.10 0.01 0.54 4.53% 0.93%
Braille 3 0.00 0.01 0.17 5.32% 1.30%
4 -0.01 0.01 0.18 4.32% 0.50%
5 0.03 0.02 0.23 4.71% 0.70%
6 0.00 0.02 0.33 4.23% 0.70%
7 0.08 0.02 0.38 4.67% 1.02%
8 0.07 0.02 0.43 4.50% 0.31%
11 0.12 0.02 0.71 4.04% 0.56%
Spanish 3 0.01 0.01 0.15 4.51% 0.90%
4 -0.01 0.01 0.19 4.02% 1.01%
5 0.01 0.01 0.21 4.32% 0.80%
6 0.03 0.02 0.31 3.76% 0.81%
7 0.04 0.02 0.37 5.10% 1.12%
8 0.03 0.02 0.54 4.07% 0.61%
11 0.07 0.02 0.65 4.73% 1.34%


Table 8.18: AVERAGE BIAS OF THE ESTIMATED PROFICIENCIES BY DECILE: MATHEMATICS
Pool Grade 1 2 3 4 5 6 7 8 9 10
Standard 3 0.32 0.12 0.05 0.02 0.03 -0.02 -0.03 -0.05 -0.08 -0.25
4 0.33 0.14 0.07 0.05 0.01 0.00 0.01 -0.05 -0.07 -0.25
5 0.44 0.20 0.11 0.05 -0.03 -0.03 -0.07 -0.06 -0.11 -0.22
6 0.47 0.17 0.06 0.03 -0.03 -0.01 -0.06 -0.11 -0.14 -0.29
7 0.66 0.17 0.06 0.02 0.00 -0.08 -0.08 -0.11 -0.15 -0.28
8 0.65 0.20 0.16 0.06 0.03 -0.01 -0.05 -0.15 -0.14 -0.30
11 1.17 0.31 0.08 0.02 -0.03 -0.05 -0.08 -0.07 -0.13 -0.21
Braille 3 0.34 0.03 0.06 0.09 0.00 0.01 -0.06 -0.07 -0.07 -0.35
4 0.30 0.04 0.09 0.10 -0.04 -0.05 -0.03 -0.08 -0.06 -0.38
5 0.47 0.14 0.09 0.05 0.03 -0.04 -0.05 -0.10 -0.08 -0.25
6 0.60 0.16 0.05 -0.01 -0.02 -0.01 -0.12 -0.16 -0.09 -0.39
7 0.86 0.38 0.15 -0.03 -0.08 -0.04 -0.09 -0.04 -0.07 -0.26
8 0.76 0.39 0.06 0.07 0.09 -0.02 -0.15 -0.13 -0.11 -0.26
11 1.33 0.46 0.21 0.09 0.01 -0.04 -0.13 -0.13 -0.18 -0.39
Spanish 3 0.35 0.06 0.07 -0.01 0.02 0.00 -0.01 -0.06 -0.05 -0.28
4 0.45 0.10 0.04 -0.03 0.03 -0.02 -0.02 -0.09 -0.14 -0.42
5 0.42 0.14 0.12 0.02 -0.02 -0.03 -0.11 -0.09 -0.08 -0.23
6 0.69 0.13 0.24 -0.07 -0.07 -0.01 -0.12 -0.13 -0.09 -0.27
7 0.84 0.20 0.07 0.01 -0.09 -0.13 -0.09 -0.07 -0.18 -0.21
8 0.89 0.26 0.12 0.00 -0.03 -0.13 -0.08 -0.13 -0.22 -0.38
11 1.16 0.32 0.13 -0.08 -0.04 -0.19 -0.06 -0.14 -0.15 -0.27

8.4 Reliability

Reliability estimates in this section are based on real data and the adjusted blueprint. Whether students and schools tested during the 2020-21 administration year depended heavily on their response to the Covid-19 pandemic. Therefore, results presented here for demographic groups should not be considered representative of the entire student population. Table 8.19 and Table 8.20 show the reliability (Rho) of the test for all students and for students based on demographic group in ELA/literacy and mathematics.

Table 8.19: MARGINAL RELIABILITY OF TOTAL SUMMATIVE SCORES: ELA/LITERACY
Grade Group N Var MSE Rho
3 All 136,244 9085.1 1327.7 0.854
AmericanIndianOrAlaskaNative 2,459 7481.5 1379.5 0.816
Asian 12,038 8819.3 1181.1 0.866
BlackOrAfricanAmerican 6,491 8165.9 1484.4 0.818
HispanicOrLatinoEthnicity 49,784 8141.8 1502.7 0.815
White 61,576 8158.5 1225.0 0.850
LEPStatus 26,155 7046.7 1618.1 0.770
Section504Status 1,955 8304.1 1286.2 0.845
EconomicDisadvantageStatus 72,313 8414.7 1470.1 0.825
IDEAIndicator 15,603 8328.0 1654.6 0.801
4 All 125,479 9582.0 1417.7 0.852
AmericanIndianOrAlaskaNative 1,521 8314.8 1514.7 0.818
Asian 11,439 8963.9 1312.4 0.854
BlackOrAfricanAmerican 6,200 8861.4 1550.3 0.825
HispanicOrLatinoEthnicity 48,407 8814.9 1531.2 0.826
White 50,721 8310.1 1334.8 0.839
LEPStatus 22,674 7435.4 1688.2 0.773
Section504Status 2,281 8538.1 1411.8 0.835
EconomicDisadvantageStatus 60,131 8827.5 1535.3 0.826
IDEAIndicator 14,899 8906.3 1759.4 0.802
5 All 126,087 9880.9 1248.1 0.874
AmericanIndianOrAlaskaNative 1,571 9447.8 1298.0 0.863
Asian 11,601 9338.6 1266.2 0.864
BlackOrAfricanAmerican 6,072 9237.8 1314.6 0.858
HispanicOrLatinoEthnicity 49,068 9010.0 1256.1 0.861
White 50,620 8691.7 1241.2 0.857
LEPStatus 19,704 6770.8 1333.7 0.803
Section504Status 2,812 8390.2 1223.6 0.854
EconomicDisadvantageStatus 60,571 9097.1 1261.2 0.861
IDEAIndicator 14,742 8375.5 1404.2 0.832
6 All 140,799 10038.5 1305.1 0.870
AmericanIndianOrAlaskaNative 2,750 8517.4 1464.3 0.828
Asian 11,466 9261.5 1243.2 0.866
BlackOrAfricanAmerican 7,170 9669.5 1420.1 0.853
HispanicOrLatinoEthnicity 54,559 9505.9 1352.0 0.858
White 62,577 8782.2 1295.0 0.853
LEPStatus 19,786 6761.2 1490.5 0.780
Section504Status 3,467 8350.4 1269.1 0.848
EconomicDisadvantageStatus 75,365 9589.6 1403.3 0.854
IDEAIndicator 16,893 8010.0 1623.8 0.797
7 All 150,305 10899.3 1436.4 0.868
AmericanIndianOrAlaskaNative 2,813 9802.9 1714.3 0.825
Asian 12,913 9213.7 1347.3 0.854
BlackOrAfricanAmerican 7,270 10935.2 1545.5 0.859
HispanicOrLatinoEthnicity 60,257 10701.1 1510.1 0.859
White 62,909 9293.4 1403.8 0.849
LEPStatus 19,286 8041.7 1721.1 0.786
Section504Status 4,016 9389.8 1410.8 0.850
EconomicDisadvantageStatus 79,538 10778.1 1558.3 0.855
IDEAIndicator 17,368 8961.8 1815.0 0.797
8 All 139,633 11607.7 1455.9 0.875
AmericanIndianOrAlaskaNative 1,796 10183.8 1497.1 0.853
Asian 12,491 9947.5 1359.5 0.863
BlackOrAfricanAmerican 7,019 11019.5 1585.4 0.856
HispanicOrLatinoEthnicity 58,938 11144.3 1572.6 0.859
White 52,328 9828.8 1335.7 0.864
LEPStatus 16,759 7630.3 1880.5 0.754
Section504Status 4,038 9614.6 1377.5 0.857
EconomicDisadvantageStatus 68,584 11113.4 1571.3 0.859
IDEAIndicator 15,688 8356.5 1889.9 0.774
HS All 240,313 13510.9 1737.3 0.871
AmericanIndianOrAlaskaNative 2,873 11966.4 1834.7 0.847
Asian 23,420 11124.1 1625.6 0.854
BlackOrAfricanAmerican 9,599 14246.5 1947.9 0.863
HispanicOrLatinoEthnicity 119,726 13340.7 1812.7 0.864
White 74,416 11936.9 1644.6 0.862
LEPStatus 20,348 9154.7 2335.9 0.745
Section504Status 7,045 13171.7 1735.8 0.868
EconomicDisadvantageStatus 131,409 13484.2 1824.4 0.865
IDEAIndicator 21,464 10662.7 2305.9 0.784


Table 8.20: MARGINAL RELIABILITY OF TOTAL SUMMATIVE SCORES: MATHEMATICS
Grade Group N Var MSE Rho
3 All 127,956 7696.8 806.4 0.895
AmericanIndianOrAlaskaNative 1,428 6585.1 923.2 0.860
Asian 11,654 7384.5 675.4 0.909
BlackOrAfricanAmerican 6,501 6706.9 985.4 0.853
HispanicOrLatinoEthnicity 49,980 6711.0 926.4 0.862
White 50,245 6526.6 704.6 0.892
LEPStatus 25,938 6464.8 1029.4 0.841
Section504Status 1,739 6892.2 770.8 0.888
EconomicDisadvantageStatus 61,880 6921.2 938.2 0.864
IDEAIndicator 14,155 8365.7 1165.9 0.861
4 All 144,326 7764.1 869.2 0.888
AmericanIndianOrAlaskaNative 2,591 6088.3 937.7 0.846
Asian 12,368 7557.9 713.9 0.906
BlackOrAfricanAmerican 7,120 6741.3 1077.9 0.840
HispanicOrLatinoEthnicity 54,152 6725.8 1027.4 0.847
White 64,117 6878.3 761.6 0.889
LEPStatus 24,580 6121.4 1220.3 0.801
Section504Status 2,709 6994.2 872.7 0.875
EconomicDisadvantageStatus 76,511 6921.4 989.5 0.857
IDEAIndicator 17,231 8029.5 1341.3 0.833
5 All 132,897 9289.4 1199.9 0.871
AmericanIndianOrAlaskaNative 1,618 8311.3 1337.6 0.839
Asian 12,001 8992.9 885.3 0.902
BlackOrAfricanAmerican 6,648 7518.3 1530.3 0.796
HispanicOrLatinoEthnicity 52,622 7774.9 1434.9 0.815
White 52,211 8213.0 1020.6 0.876
LEPStatus 20,607 6437.8 1764.4 0.726
Section504Status 2,949 8089.1 1195.3 0.852
EconomicDisadvantageStatus 64,245 7950.1 1434.0 0.820
IDEAIndicator 15,493 8570.3 1924.6 0.775
6 All 128,000 11384.0 1655.3 0.855
AmericanIndianOrAlaskaNative 1,572 8853.0 1808.7 0.796
Asian 10,543 11044.4 1163.9 0.895
BlackOrAfricanAmerican 6,605 9541.7 2137.6 0.776
HispanicOrLatinoEthnicity 51,865 10031.9 2055.9 0.795
White 51,430 9722.2 1316.8 0.865
LEPStatus 19,035 8155.8 2726.0 0.666
Section504Status 3,071 9888.2 1581.8 0.840
EconomicDisadvantageStatus 62,539 10263.5 2049.9 0.800
IDEAIndicator 14,712 9982.7 3143.7 0.685
7 All 150,368 12511.0 1872.6 0.850
AmericanIndianOrAlaskaNative 2,769 9998.1 2231.2 0.777
Asian 12,578 12285.3 1307.1 0.894
BlackOrAfricanAmerican 7,080 10720.2 2429.1 0.773
HispanicOrLatinoEthnicity 60,175 11057.2 2265.8 0.795
White 63,440 10932.0 1596.7 0.854
LEPStatus 19,181 8627.9 3082.3 0.643
Section504Status 4,038 10750.4 1766.1 0.836
EconomicDisadvantageStatus 79,341 11273.2 2221.3 0.803
IDEAIndicator 16,942 9848.5 3364.9 0.658
8 All 148,502 14063.6 2126.4 0.849
AmericanIndianOrAlaskaNative 2,667 10314.8 2436.0 0.764
Asian 12,165 14687.9 1571.3 0.893
BlackOrAfricanAmerican 7,039 11612.4 2652.8 0.772
HispanicOrLatinoEthnicity 60,531 12164.9 2495.5 0.795
White 61,861 12389.2 1868.5 0.849
LEPStatus 16,974 8848.0 3313.6 0.626
Section504Status 4,481 11970.6 2066.5 0.827
EconomicDisadvantageStatus 78,316 12354.3 2453.4 0.801
IDEAIndicator 16,585 9298.3 3463.8 0.627
HS All 240,111 16118.3 2547.1 0.842
AmericanIndianOrAlaskaNative 2,786 12148.9 3149.7 0.741
Asian 24,551 15644.5 1547.4 0.901
BlackOrAfricanAmerican 9,438 13995.8 3433.6 0.755
HispanicOrLatinoEthnicity 117,333 13534.4 2965.3 0.781
White 75,264 14970.6 2243.2 0.850
LEPStatus 19,589 11184.2 4433.5 0.604
Section504Status 7,026 15598.5 2623.8 0.832
EconomicDisadvantageStatus 129,176 14169.8 2920.0 0.794
IDEAIndicator 20,522 10652.1 4856.6 0.544

8.5 Classification Accuracy

Classification accuracy measures how accurately test scores place students into reporting category levels. The likelihood of inaccurate placement depends on the amount of measurement error associated with scores, especially those nearest cut points, and on the distribution of student achievement.

Table 8.21 and Table 8.22 show classification accuracy of the total score achievement levels in ELA/literacy and mathematics, respectively, for each grade 3-8 and high school (HS). Section 2.4 explains how the statistics in these tables were computed. Classification accuracy for each category was high to moderately high for all grades.

Table 8.21: CLASSIFICATION ACCURACY OF TOTAL ELA/LITERACY SCORES
Grade Observed Level N P True L1 True L2 True L3 True L4 Accuracy by Level Accuracy Overall
3 Level 1 47,539 0.349 0.304 0.044 0.001 0.000 0.871 0.742
Level 2 33,330 0.245 0.046 0.152 0.045 0.001 0.620
Level 3 28,426 0.209 0.001 0.045 0.122 0.040 0.587
Level 4 26,949 0.198 0.000 0.001 0.032 0.164 0.831
4 Level 1 45,881 0.366 0.320 0.043 0.003 0.000 0.875 0.730
Level 2 26,525 0.211 0.048 0.116 0.046 0.002 0.547
Level 3 27,050 0.216 0.002 0.046 0.124 0.043 0.577
Level 4 26,021 0.207 0.000 0.002 0.036 0.170 0.820
5 Level 1 39,887 0.316 0.278 0.037 0.001 0.000 0.880 0.748
Level 2 26,367 0.209 0.043 0.123 0.043 0.000 0.586
Level 3 34,518 0.274 0.002 0.046 0.184 0.042 0.673
Level 4 25,314 0.201 0.000 0.000 0.037 0.163 0.812
6 Level 1 41,293 0.293 0.256 0.037 0.001 0.000 0.872 0.754
Level 2 37,723 0.268 0.044 0.177 0.047 0.000 0.662
Level 3 41,001 0.291 0.001 0.049 0.203 0.039 0.698
Level 4 20,782 0.148 0.000 0.000 0.030 0.118 0.796
7 Level 1 40,073 0.267 0.233 0.032 0.001 0.000 0.875 0.753
Level 2 35,699 0.238 0.040 0.152 0.045 0.000 0.639
Level 3 52,256 0.348 0.001 0.051 0.252 0.043 0.726
Level 4 22,277 0.148 0.000 0.000 0.033 0.115 0.779
8 Level 1 37,817 0.271 0.236 0.034 0.000 0.000 0.873 0.762
Level 2 35,526 0.254 0.041 0.170 0.044 0.000 0.668
Level 3 45,770 0.328 0.000 0.047 0.240 0.039 0.734
Level 4 20,519 0.147 0.000 0.000 0.031 0.116 0.787
HS Level 1 49,941 0.208 0.179 0.029 0.000 0.000 0.860 0.758
Level 2 54,015 0.225 0.034 0.150 0.041 0.000 0.668
Level 3 77,788 0.324 0.000 0.047 0.230 0.047 0.710
Level 4 58,570 0.244 0.000 0.000 0.044 0.199 0.818


Table 8.22: CLASSIFICATION ACCURACY OF TOTAL MATHEMATICS SCORES
Grade Observed Level N P True L1 True L2 True L3 True L4 Accuracy by Level Accuracy Overall
3 Level 1 45,879 0.359 0.319 0.039 0.001 0.000 0.889 0.786
Level 2 30,496 0.238 0.041 0.156 0.041 0.000 0.654
Level 3 31,486 0.246 0.000 0.038 0.178 0.029 0.725
Level 4 20,095 0.157 0.000 0.000 0.024 0.133 0.849
4 Level 1 48,483 0.336 0.294 0.042 0.000 0.000 0.875 0.792
Level 2 44,018 0.305 0.041 0.224 0.040 0.000 0.734
Level 3 32,067 0.222 0.000 0.037 0.159 0.027 0.714
Level 4 19,758 0.137 0.000 0.000 0.021 0.116 0.844
5 Level 1 56,353 0.424 0.372 0.052 0.001 0.000 0.876 0.785
Level 2 35,607 0.268 0.044 0.185 0.038 0.001 0.691
Level 3 20,407 0.154 0.000 0.031 0.096 0.027 0.623
Level 4 20,530 0.154 0.000 0.000 0.021 0.133 0.859
6 Level 1 52,386 0.409 0.361 0.047 0.001 0.000 0.883 0.782
Level 2 36,583 0.286 0.045 0.199 0.042 0.001 0.695
Level 3 21,150 0.165 0.000 0.034 0.103 0.028 0.625
Level 4 17,881 0.140 0.000 0.000 0.021 0.119 0.849
7 Level 1 58,395 0.388 0.337 0.050 0.001 0.000 0.868 0.772
Level 2 41,785 0.278 0.047 0.186 0.044 0.001 0.669
Level 3 28,384 0.189 0.000 0.036 0.124 0.028 0.658
Level 4 21,804 0.145 0.000 0.000 0.020 0.125 0.860
8 Level 1 68,385 0.460 0.403 0.056 0.002 0.000 0.875 0.774
Level 2 36,818 0.248 0.049 0.155 0.043 0.002 0.626
Level 3 22,165 0.149 0.000 0.031 0.093 0.026 0.621
Level 4 21,134 0.142 0.000 0.000 0.019 0.124 0.868
HS Level 1 100,956 0.420 0.364 0.055 0.002 0.000 0.866 0.778
Level 2 61,279 0.255 0.049 0.163 0.044 0.000 0.638
Level 3 45,869 0.191 0.000 0.033 0.135 0.023 0.705
Level 4 32,007 0.133 0.000 0.000 0.017 0.116 0.873

8.6 Standard Errors of Measurement

The standard error of measurement (SEM) information in this section is based on student scores and associated SEMs included in the data Smarter Balanced receives from members after the administration. All of the SEM statistics reported here are based on the adjusted (shorter) blueprint and in the reporting scale metric. A small and non-representative sample of enrolled students tested in the 2020-21 administration year.

Table 8.23 and Table 8.24 show the trend in the SEM by student decile for ELA/literacy and mathematics, respectively. Deciles were defined by ranking students from highest to lowest scale score and dividing the students into 10 equal-sized groups according to rank. Decile 1 contains the 10% of students with the lowest scale scores. Decile 10 contains the 10% of students with the highest scale scores. The SEM reported for a decile is the average SEM among examinees at that decile.

Table 8.23: AVERAGE SEM BY DECILE: ELA/LITERACY
Subject Grade Mean SEM 1 2 3 4 5 6 7 8 9 10
ELA 3 35.0 53.9 37.8 34.5 32.9 31.8 31.1 31.0 31.0 31.7 34.3
4 36.7 52.1 38.2 36.2 35.0 34.2 33.6 32.9 33.2 34.1 37.7
5 35.0 43.4 34.9 32.9 32.1 32.1 32.3 33.0 33.8 35.6 40.0
6 35.3 49.2 36.2 33.5 32.2 31.6 31.8 32.6 33.5 34.5 37.4
7 36.9 53.6 38.0 35.0 33.8 33.1 33.5 33.5 34.1 35.3 38.7
8 37.2 56.1 37.8 34.4 33.7 33.7 33.8 33.9 34.3 35.4 38.5
HS 40.7 60.5 42.3 38.5 37.1 36.5 36.2 37.0 37.6 39.1 42.1


Table 8.24: AVERAGE SEM BY DECILE: MATHEMATICS
Subject Grade Mean SEM 1 2 3 4 5 6 7 8 9 10
MATH 3 27.2 45.4 31.6 27.9 25.7 24.3 23.4 23.0 22.2 22.6 25.0
4 27.9 47.6 32.1 28.4 26.5 25.3 24.3 23.6 23.0 22.9 24.6
5 32.8 56.1 40.7 36.8 33.9 31.2 28.5 26.4 24.8 24.0 25.1
6 37.0 74.1 45.4 39.2 35.1 32.4 30.6 29.2 28.0 27.2 28.7
7 39.8 77.1 48.7 42.8 39.5 36.7 34.3 31.9 29.8 28.1 28.7
8 43.6 76.4 52.6 47.5 44.9 42.8 40.3 37.4 33.8 30.1 29.8
HS 46.0 94.4 59.0 50.4 45.3 41.7 38.8 36.1 33.3 30.3 29.7

Table 8.25 and Table 8.26 show the average SEM near the achievement level cut scores. The average SEM reported for a given cut score is the average SEM among students within 10 scale score units of the cut score. In the column headings, “Cut1” is the lowest cut score defining the lower boundary of level 2, “Cut2” defines the lower boundary of level 3, and “Cut3” defines the lower boundary of level 4.

Table 8.25: SEM WITHIN 10 POINTS OF ACHIEVEMENT LEVEL CUT SCORES: ELA/LITERACY
Grade Cut1v2 N Cut1v2 Mn Cut1v2 SD Cut2v3 N Cut2v3 Mn Cut2v3 SD Cut3v4 N Cut3v4 Mn Cut3v4 SD
3 9,972 32.87 2.24 11,054 31.07 2.10 8,622 31.12 1.97
4 9,059 34.88 1.77 10,116 33.41 1.60 8,438 33.63 1.68
5 8,589 32.09 1.70 9,620 32.11 1.60 7,897 34.50 1.76
6 9,280 32.75 2.87 11,401 31.85 2.96 7,594 34.56 2.65
7 8,364 34.61 3.13 11,952 33.30 3.22 8,801 35.33 2.32
8 7,988 34.04 1.85 10,142 33.77 1.56 7,514 35.37 1.64
HS 9,855 39.56 1.82 15,283 36.61 1.67 15,689 37.69 1.60


Table 8.26: SEM WITHIN 10 POINTS OF ACHIEVEMENT LEVEL CUT SCORES: MATHEMATICS
Grade Cut1v2 N Cut1v2 Mn Cut1v2 SD Cut2v3 N Cut2v3 Mn Cut2v3 SD Cut3v4 N Cut3v4 Mn Cut3v4 SD
3 10,721 25.55 1.45 11,765 23.13 1.04 7,933 22.42 1.23
4 11,642 26.68 1.61 12,234 23.64 1.20 8,031 22.91 1.14
5 10,587 31.92 1.52 9,309 25.61 1.36 7,043 24.03 1.33
6 9,139 33.32 1.69 9,080 28.61 1.21 6,094 27.19 1.18
7 10,228 38.36 3.17 10,175 31.53 2.07 6,653 28.19 1.97
8 10,038 42.53 2.70 8,177 35.37 2.39 5,608 29.72 2.33
HS 15,577 42.66 2.41 13,883 35.33 1.86 8,142 29.78 1.96

Figure 8.1 to Figure 8.14 provide scatter plots of a random sample of 2,000 individual student SEMs from the adjusted blueprint as a function of total scale score by grade within subject. Dashed vertical lines in Figure 8.1 to Figure 8.14 represent the achievement level cut scores. The plots for the high school standard errors show cut scores for each grade 9, 10, and 11, separately.

ELA/Literacy Grade 3

Figure 8.1: ELA/Literacy Grade 3

ELA/Literacy Grade 4

Figure 8.2: ELA/Literacy Grade 4

ELA/Literacy Grade 5

Figure 8.3: ELA/Literacy Grade 5

ELA/Literacy Grade 6

Figure 8.4: ELA/Literacy Grade 6

ELA/Literacy Grade 7

Figure 8.5: ELA/Literacy Grade 7

ELA/Literacy Grade 8

Figure 8.6: ELA/Literacy Grade 8

ELA/Literacy High School

Figure 8.7: ELA/Literacy High School

Mathematics Grade 3

Figure 8.8: Mathematics Grade 3

Mathematics Grade 4

Figure 8.9: Mathematics Grade 4

Mathematics Grade 5

Figure 8.10: Mathematics Grade 5

Mathematics Grade 6

Figure 8.11: Mathematics Grade 6

Mathematics Grade 7

Figure 8.12: Mathematics Grade 7

Mathematics Grade 8

Figure 8.13: Mathematics Grade 8

Mathematics High School

Figure 8.14: Mathematics High School

8.7 Overall Score and Achievement Level Results

Two kinds of results are reported in the tables of this section: 1) summary statistics for overall scale scores and 2) achievement level percentages. The overall scale score represents student achievement numerically in terms of more or less. The achievement level percentages, combined with achievement level descriptors, help convey the meaning of the scores to stakeholders.

Table 8.27 to Table 8.40 show by grade and subject the number of students in total and by demographic group in the reporting states, the mean and standard deviation of their overall scale score, the percentage of students in each achievement level, and the percentage of students in levels 3 and 4 combined. Levels 3 and 4 are combined to show the total percentage of students who are on track for college and career readiness.

Table 8.27: GRADE 3 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 137,923 2406 98.7 34.6 24.2 20.6 20.7 41.3
Female 67,807 2414 98.0 31.5 24.2 21.5 22.8 44.3
Male 70,114 2399 98.8 37.5 24.1 19.7 18.6 38.3
American Indian or Alaska Native 2,478 2372 90.1 48.3 26.6 15.4 9.8 25.2
Asian 12,519 2455 100.2 18.8 19.7 22.6 39.0 61.5
Black/African American 6,533 2370 93.1 49.5 24.9 15.7 10.0 25.7
Native Hawaiian or Pacific Islander 3,802 2374 91.6 47.9 25.5 16.0 10.5 26.5
Hispanic/Latino Ethnicity 49,961 2371 91.6 48.5 25.6 15.9 10.0 25.9
White 62,373 2424 93.7 26.6 24.3 24.1 25.0 49.1
Two or More Races 7,611 2435 96.8 23.9 22.8 23.7 29.6 53.3
Unidentified Race 11,517 2393 94.9 39.6 25.9 18.7 15.8 34.5
LEP Status 26,223 2346 85.2 60.8 23.4 10.7 5.0 15.7
IDEA Indicator 15,703 2347 93.9 61.3 20.3 11.0 7.4 18.4
Section 504 Status 1,972 2403 94.0 33.8 26.8 21.3 18.0 39.4
Economic Disadvantage Status 72,682 2378 93.7 46.0 25.2 16.9 11.9 28.8
Table 8.28: GRADE 4 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 127,363 2451 101.7 36.1 20.8 21.2 21.9 43.1
Female 62,619 2459 100.8 33.0 21.0 22.0 24.1 46.0
Male 64,744 2443 101.9 39.1 20.6 20.5 19.7 40.3
American Indian or Alaska Native 1,531 2414 93.7 50.5 22.9 16.9 9.7 26.6
Asian 11,991 2504 101.1 19.2 15.8 23.2 41.8 65.0
Black/African American 6,229 2411 96.3 52.4 21.1 15.6 10.9 26.5
Native Hawaiian or Pacific Islander 3,514 2417 93.1 50.7 20.0 18.1 11.1 29.2
Hispanic/Latino Ethnicity 48,649 2416 95.7 49.7 21.8 17.3 11.3 28.6
White 51,585 2472 95.1 26.5 21.6 24.8 27.1 51.9
Two or More Races 7,398 2478 99.3 25.9 18.8 24.9 30.5 55.3
Unidentified Race 7,995 2442 97.2 39.4 22.0 20.7 17.9 38.6
LEP Status 22,718 2381 87.2 66.6 18.9 10.5 4.1 14.5
IDEA Indicator 14,989 2378 97.1 67.5 16.1 10.0 6.4 16.4
Section 504 Status 2,309 2446 95.8 36.7 23.5 21.5 18.3 39.8
Economic Disadvantage Status 60,418 2415 95.8 50.4 21.6 17.0 11.0 28.0
Table 8.29: GRADE 5 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 129,338 2494 105.9 31.4 20.4 26.7 21.5 48.2
Female 63,440 2505 104.7 27.5 20.2 27.8 24.5 52.3
Male 65,897 2483 106.0 35.1 20.6 25.6 18.7 44.3
American Indian or Alaska Native 1,590 2463 101.6 43.8 20.4 22.5 13.3 35.8
Asian 12,365 2549 104.9 16.0 14.2 27.6 42.1 69.7
Black/African American 6,183 2450 102.0 47.4 21.8 20.5 10.3 30.8
Native Hawaiian or Pacific Islander 3,655 2456 101.3 45.9 21.6 20.7 11.8 32.5
Hispanic/Latino Ethnicity 49,813 2458 99.6 43.7 22.5 22.6 11.1 33.7
White 51,932 2515 99.1 22.5 20.1 31.0 26.4 57.4
Two or More Races 7,321 2521 102.0 22.2 18.9 29.7 29.3 59.0
Unidentified Race 7,860 2485 102.5 33.7 22.0 26.3 18.0 44.3
LEP Status 19,992 2409 86.0 65.8 20.2 11.4 2.6 14.0
IDEA Indicator 15,023 2407 96.6 67.0 16.8 11.3 4.9 16.2
Section 504 Status 2,856 2489 96.1 31.3 23.0 29.1 16.6 45.7
Economic Disadvantage Status 61,547 2457 100.4 44.5 22.1 22.2 11.2 33.4
Table 8.30: GRADE 6 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 143,086 2513 104.3 28.9 26.4 28.7 16.0 44.7
Female 69,506 2526 102.7 24.2 26.0 30.8 19.0 49.8
Male 73,562 2500 104.3 33.4 26.7 26.7 13.3 39.9
American Indian or Alaska Native 2,766 2478 95.0 40.6 30.8 21.1 7.4 28.6
Asian 12,101 2571 103.5 13.4 18.5 33.0 35.1 68.1
Black/African American 7,215 2469 100.8 44.6 28.2 20.5 6.7 27.2
Native Hawaiian or Pacific Islander 3,191 2481 96.6 41.6 27.8 22.2 8.5 30.6
Hispanic/Latino Ethnicity 54,855 2480 99.3 39.9 28.9 23.0 8.2 31.2
White 63,707 2531 98.2 21.8 26.2 33.1 18.9 52.0
Two or More Races 6,574 2541 101.5 20.2 23.6 32.8 23.4 56.1
Unidentified Race 11,717 2501 100.7 32.5 28.6 26.1 12.9 38.9
LEP Status 19,819 2426 83.0 64.4 25.6 8.9 1.0 9.9
IDEA Indicator 16,983 2418 91.9 68.8 19.8 8.8 2.6 11.4
Section 504 Status 3,511 2506 95.4 30.1 29.3 29.0 11.6 40.6
Economic Disadvantage Status 75,928 2484 100.5 38.7 28.5 23.7 9.1 32.8
Table 8.31: GRADE 7 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 153,588 2543 109.5 26.3 23.2 34.0 16.4 50.5
Female 74,940 2557 106.1 21.5 22.6 36.6 19.3 55.9
Male 78,633 2529 110.9 30.9 23.9 31.6 13.7 45.3
American Indian or Alaska Native 2,846 2505 103.7 37.8 27.5 26.9 7.8 34.7
Asian 13,806 2604 104.1 11.6 15.4 36.9 36.0 73.0
Black/African American 7,376 2500 109.4 40.6 25.6 25.7 8.1 33.8
Native Hawaiian or Pacific Islander 3,431 2507 101.8 37.9 26.5 28.6 7.0 35.6
Hispanic/Latino Ethnicity 60,731 2510 105.8 36.0 26.7 28.8 8.5 37.3
White 64,485 2562 102.5 19.8 22.2 38.6 19.5 58.1
Two or More Races 6,985 2569 106.7 18.7 20.2 37.8 23.2 61.0
Unidentified Race 11,642 2535 106.5 28.3 25.2 32.6 13.9 46.5
LEP Status 19,364 2447 91.0 62.3 25.4 11.5 0.9 12.4
IDEA Indicator 17,569 2440 98.2 66.3 20.8 10.6 2.3 12.9
Section 504 Status 4,072 2539 100.4 26.0 26.7 34.8 12.5 47.3
Economic Disadvantage Status 80,485 2512 107.5 35.8 26.2 28.7 9.3 38.0
Table 8.32: GRADE 8 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 142,356 2555 112.5 26.8 25.0 32.2 16.1 48.3
Female 68,938 2571 109.0 21.4 24.4 35.0 19.2 54.2
Male 73,415 2539 113.6 31.8 25.5 29.5 13.2 42.7
American Indian or Alaska Native 1,818 2522 105.0 37.0 29.2 25.7 8.1 33.8
Asian 13,272 2618 107.8 12.0 16.0 36.8 35.2 72.0
Black/African American 7,119 2509 109.6 41.6 27.1 24.0 7.3 31.4
Native Hawaiian or Pacific Islander 3,199 2520 100.1 37.5 29.6 26.0 6.9 32.9
Hispanic/Latino Ethnicity 59,333 2521 107.7 36.4 28.2 27.0 8.3 35.3
White 53,554 2578 104.8 18.8 24.0 37.2 20.0 57.3
Two or More Races 6,627 2584 108.9 18.9 22.1 36.1 22.9 59.1
Unidentified Race 8,525 2556 108.8 25.6 26.2 33.0 15.1 48.2
LEP Status 16,840 2450 88.6 66.2 24.6 8.3 0.9 9.2
IDEA Indicator 15,861 2447 94.3 68.2 21.1 9.1 1.6 10.7
Section 504 Status 4,095 2549 102.3 27.0 28.7 31.8 12.4 44.2
Economic Disadvantage Status 69,128 2519 107.9 37.3 28.0 26.6 8.1 34.7
Table 8.33: HIGH SCHOOL ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 252,844 2601 126.0 20.0 21.6 30.7 27.7 58.4
Female 126,925 2618 120.8 15.3 20.8 32.6 31.4 63.9
Male 125,902 2584 128.9 24.6 22.4 28.8 24.1 52.9
American Indian or Alaska Native 2,948 2555 118.0 30.1 27.4 28.3 14.2 42.5
Asian 27,487 2676 120.2 8.2 11.6 27.2 53.0 80.2
Black/African American 9,822 2548 125.7 33.6 25.1 26.3 14.9 41.2
Native Hawaiian or Pacific Islander 3,179 2576 109.3 23.0 27.6 33.2 16.2 49.4
Hispanic/Latino Ethnicity 122,347 2571 120.7 25.6 25.4 30.3 18.7 48.9
White 78,803 2618 120.0 15.3 20.0 32.9 31.8 64.7
Two or More Races 8,126 2636 123.8 13.4 17.0 30.7 38.9 69.6
Unidentified Race 13,439 2605 123.7 18.8 22.0 30.8 28.5 59.3
LEP Status 20,434 2468 97.0 60.2 27.5 10.6 1.7 12.3
IDEA Indicator 21,706 2475 106.8 58.8 25.2 12.4 3.6 15.9
Section 504 Status 7,364 2596 124.0 20.7 22.4 31.4 25.5 56.9
Economic Disadvantage Status 134,780 2572 122.3 25.8 25.0 30.0 19.2 49.2
Table 8.34: GRADE 3 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 129,749 2412 91.9 35.7 23.5 24.3 16.5 40.8
Female 63,772 2408 90.3 37.4 23.9 23.6 15.1 38.7
Male 65,977 2415 93.4 34.1 23.1 24.9 17.8 42.7
American Indian or Alaska Native 1,454 2380 87.1 50.6 24.6 17.5 7.4 24.8
Asian 12,214 2468 93.9 17.5 17.1 27.1 38.2 65.4
Black/African American 6,590 2367 85.8 54.9 23.3 16.4 5.5 21.9
Native Hawaiian or Pacific Islander 3,629 2371 89.4 53.9 22.8 16.6 6.7 23.4
Hispanic/Latino Ethnicity 50,207 2378 83.5 50.2 24.9 18.2 6.7 24.9
White 50,952 2432 85.2 25.2 24.0 29.8 21.0 50.7
Two or More Races 7,929 2438 88.5 24.4 23.2 28.7 23.7 52.4
Unidentified Race 8,048 2401 88.9 39.6 24.9 22.6 12.9 35.5
LEP Status 26,123 2361 82.8 59.9 22.4 13.1 4.7 17.7
IDEA Indicator 14,485 2354 97.2 61.6 17.8 13.4 7.2 20.6
Section 504 Status 1,764 2414 87.7 33.5 25.0 26.4 15.1 41.5
Economic Disadvantage Status 62,328 2378 85.7 50.5 24.4 17.9 7.2 25.1
Table 8.35: GRADE 4 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 146,294 2451 92.3 33.4 30.1 21.9 14.6 36.6
Female 71,953 2447 88.8 34.4 31.5 21.4 12.7 34.1
Male 74,338 2455 95.3 32.4 28.7 22.4 16.5 38.9
American Indian or Alaska Native 2,608 2415 80.7 48.4 32.1 14.5 5.0 19.5
Asian 13,111 2510 96.0 15.6 22.2 25.9 36.3 62.2
Black/African American 7,176 2407 85.1 52.2 29.5 13.8 4.6 18.4
Native Hawaiian or Pacific Islander 3,802 2416 83.0 47.9 32.4 14.5 5.3 19.8
Hispanic/Latino Ethnicity 54,331 2417 83.3 47.5 31.3 15.4 5.7 21.1
White 64,989 2468 87.2 25.0 30.8 26.5 17.7 44.2
Two or More Races 7,715 2476 89.7 22.5 29.9 26.9 20.7 47.6
Unidentified Race 11,842 2434 87.4 40.5 31.5 18.5 9.5 28.0
LEP Status 24,695 2390 80.0 61.7 26.6 8.9 2.8 11.8
IDEA Indicator 17,490 2387 94.2 62.9 21.7 9.9 5.5 15.4
Section 504 Status 2,741 2447 87.4 33.8 32.4 21.5 12.2 33.7
Economic Disadvantage Status 76,966 2422 85.6 45.2 31.6 16.3 6.8 23.1
Table 8.36: GRADE 5 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 134,689 2477 100.5 42.0 26.4 15.2 16.4 31.6
Female 66,058 2475 97.2 42.8 27.4 14.9 15.0 29.8
Male 68,630 2479 103.4 41.2 25.6 15.4 17.8 33.2
American Indian or Alaska Native 1,628 2448 93.5 54.3 25.9 10.9 8.9 19.8
Asian 12,732 2543 103.5 20.4 21.1 19.1 39.3 58.4
Black/African American 6,714 2427 90.7 62.8 23.5 9.1 4.7 13.7
Native Hawaiian or Pacific Islander 3,732 2438 89.7 60.2 23.2 10.1 6.5 16.6
Hispanic/Latino Ethnicity 52,791 2441 89.5 57.3 25.9 10.3 6.4 16.8
White 52,899 2501 94.5 30.7 28.8 19.2 21.2 40.5
Two or More Races 7,641 2503 98.0 31.4 26.4 19.2 23.0 42.2
Unidentified Race 8,072 2469 96.5 44.8 27.6 14.3 13.2 27.5
LEP Status 20,683 2405 81.7 74.7 18.6 4.4 2.2 6.7
IDEA Indicator 15,657 2401 95.8 73.9 15.9 5.5 4.6 10.1
Section 504 Status 2,965 2475 91.6 41.7 28.7 15.8 13.7 29.5
Economic Disadvantage Status 64,539 2441 91.0 57.2 25.6 10.3 6.9 17.2
Table 8.37: GRADE 6 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 129,971 2495 112.1 40.7 28.1 16.3 14.8 31.1
Female 63,117 2494 109.5 41.0 28.7 16.2 14.2 30.3
Male 66,853 2495 114.4 40.5 27.6 16.4 15.5 31.9
American Indian or Alaska Native 1,593 2455 100.0 55.4 28.9 9.7 6.0 15.7
Asian 11,301 2574 117.2 18.5 22.1 19.6 39.8 59.4
Black/African American 6,694 2439 102.1 62.0 24.5 9.5 4.0 13.5
Native Hawaiian or Pacific Islander 3,004 2452 100.8 57.4 26.4 10.8 5.5 16.2
Hispanic/Latino Ethnicity 52,091 2457 101.9 54.5 27.9 11.6 6.0 17.7
White 52,207 2517 104.5 30.7 30.6 20.5 18.2 38.7
Two or More Races 6,548 2523 110.5 31.2 27.8 19.3 21.7 41.1
Unidentified Race 8,102 2482 107.8 45.1 28.9 14.7 11.4 26.1
LEP Status 19,175 2409 92.5 75.7 18.3 4.3 1.7 6.0
IDEA Indicator 15,078 2396 106.2 77.6 14.5 4.7 3.2 7.9
Section 504 Status 3,104 2490 103.5 41.5 30.8 15.6 12.1 27.7
Economic Disadvantage Status 62,943 2457 103.9 54.8 27.1 11.6 6.5 18.1
Table 8.38: GRADE 7 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 153,018 2515 118.3 38.7 27.3 18.5 15.4 34.0
Female 74,573 2515 115.4 38.8 28.2 18.4 14.6 33.0
Male 78,431 2515 121.1 38.7 26.5 18.7 16.2 34.8
American Indian or Alaska Native 2,834 2470 110.2 54.3 26.8 13.1 5.9 18.9
Asian 13,588 2601 123.6 17.2 19.9 21.1 41.8 62.9
Black/African American 7,213 2463 111.0 57.0 25.6 11.9 5.5 17.4
Native Hawaiian or Pacific Islander 3,464 2462 107.4 57.7 25.9 12.0 4.4 16.3
Hispanic/Latino Ethnicity 60,537 2477 107.6 51.6 27.8 14.1 6.5 20.6
White 64,483 2534 111.6 30.7 28.9 22.4 18.0 40.4
Two or More Races 6,992 2541 115.7 29.8 27.3 21.6 21.3 42.9
Unidentified Race 11,568 2500 117.6 43.4 27.0 17.4 12.2 29.5
LEP Status 19,396 2421 96.8 75.5 18.2 4.7 1.6 6.3
IDEA Indicator 17,464 2408 107.5 78.0 14.2 5.3 2.6 7.9
Section 504 Status 4,096 2514 109.5 37.0 30.8 19.6 12.6 32.2
Economic Disadvantage Status 80,110 2480 110.2 50.4 27.6 14.4 7.6 22.0
Table 8.39: GRADE 8 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 152,151 2521 127.6 45.6 24.2 14.6 15.6 30.2
Female 73,472 2525 123.7 44.2 25.4 15.0 15.4 30.4
Male 78,657 2519 131.1 46.9 23.1 14.2 15.9 30.0
American Indian or Alaska Native 2,734 2479 112.2 60.8 23.5 9.4 6.3 15.7
Asian 13,588 2617 139.7 22.2 18.6 17.0 42.2 59.2
Black/African American 7,183 2464 114.8 63.8 22.1 9.0 5.1 14.0
Native Hawaiian or Pacific Islander 3,405 2468 112.3 63.7 23.3 8.0 5.0 13.0
Hispanic/Latino Ethnicity 60,980 2479 113.3 59.4 23.2 10.7 6.8 17.5
White 63,295 2543 120.5 36.9 26.7 18.0 18.3 36.3
Two or More Races 6,602 2552 127.0 36.4 24.0 17.2 22.4 39.5
Unidentified Race 11,190 2509 122.3 49.7 24.5 13.4 12.3 25.7
LEP Status 17,189 2418 98.0 82.7 12.6 3.1 1.6 4.7
IDEA Indicator 17,102 2409 104.6 84.0 10.8 3.3 2.0 5.3
Section 504 Status 4,546 2517 115.4 46.4 26.7 14.6 12.3 26.9
Economic Disadvantage Status 79,287 2484 116.3 57.7 23.6 11.0 7.7 18.7
Table 8.40: HIGH SCHOOL MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2020-21 ADMINISTRATION
Group Scale Scores N Scale Scores Mean Scale Scores SD Achievement Levels(%) 1 Achievement Levels(%) 2 Achievement Levels(%) 3 Achievement Levels(%) 4 Achievement Levels(%)3&4
Total 245,224 2570 134.6 42.3 24.9 18.6 14.2 32.8
Female 122,858 2573 128.3 40.7 26.5 19.5 13.3 32.8
Male 122,350 2568 140.5 43.8 23.4 17.6 15.2 32.8
American Indian or Alaska Native 2,866 2507 122.6 61.4 23.9 10.4 4.4 14.7
Asian 26,910 2680 137.0 16.5 17.1 23.5 42.9 66.4
Black/African American 9,525 2513 122.3 59.8 23.4 11.5 5.2 16.7
Native Hawaiian or Pacific Islander 3,190 2526 116.3 56.8 25.0 12.7 5.5 18.2
Hispanic/Latino Ethnicity 117,973 2533 118.9 52.7 26.1 15.2 6.0 21.2
White 77,023 2585 131.7 36.3 26.1 21.6 16.1 37.7
Two or More Races 7,815 2606 137.8 31.7 24.0 22.3 22.0 44.3
Unidentified Race 13,255 2568 138.7 42.4 23.8 19.4 14.3 33.7
LEP Status 19,785 2465 109.2 77.9 15.5 4.8 1.8 6.5
IDEA Indicator 20,964 2446 109.8 83.4 11.5 3.4 1.7 5.1
Section 504 Status 7,163 2564 132.4 44.3 25.8 17.0 13.0 30.0
Economic Disadvantage Status 130,216 2537 122.6 52.1 25.4 15.2 7.3 22.5

8.8 Percentile Tables for Overall Scale Scores

Table 8.41 through Table 8.47 present the overall ELA/literacy scale score for the 10th, 20th, 30th, 40th, 50th, 60th, 70th, 80th, and 90th percentiles for grades 3-8 and high school.

Table 8.48 through Table 8.54 present scores for these same percentiles for the overall mathematics scale scores for grades 3-8 and high school. These results are presented at the aggregate level and disaggregated by gender, race/ethnicity, and various status flags: limited English proficiency, IDEA indicator, Section 504, and economically disadvantaged.

Table 8.41: GRADE 3 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2279 2320 2353 2382 2409 2435 2461 2492 2532
Female 2286 2329 2362 2391 2417 2442 2469 2499 2538
Male 2273 2313 2345 2374 2401 2427 2454 2485 2526
American Indian or Alaska Native 2262 2298 2325 2348 2370 2393 2418 2448 2486
Asian 2321 2372 2407 2436 2461 2487 2513 2542 2581
Black/African American 2256 2292 2318 2343 2368 2392 2418 2448 2490
Native Hawaiian or Pacific Islander 2261 2296 2326 2349 2371 2397 2424 2451 2493
Hispanic/Latino Ethnicity 2259 2294 2321 2346 2370 2395 2420 2449 2489
White 2299 2343 2377 2405 2429 2452 2476 2504 2540
Two or More Races 2306 2353 2385 2415 2440 2465 2489 2517 2556
Unidentified Race 2273 2312 2342 2367 2392 2417 2443 2474 2514
LEP Status 2244 2278 2302 2322 2343 2365 2388 2417 2456
IDEA Indicator 2237 2270 2295 2317 2339 2363 2392 2425 2472
Section 504 Status 2279 2323 2356 2383 2406 2430 2454 2483 2518
Economic Disadvantage Status 2261 2298 2326 2352 2377 2402 2428 2458 2500
Table 8.42: GRADE 4 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2320 2364 2397 2427 2454 2481 2508 2538 2579
Female 2330 2373 2407 2435 2462 2488 2515 2545 2587
Male 2312 2355 2388 2418 2446 2473 2501 2532 2572
American Indian or Alaska Native 2302 2335 2364 2388 2414 2436 2463 2494 2530
Asian 2365 2420 2457 2487 2513 2537 2562 2590 2629
Black/African American 2291 2330 2360 2385 2409 2435 2462 2495 2537
Native Hawaiian or Pacific Islander 2302 2338 2366 2389 2414 2441 2470 2498 2539
Hispanic/Latino Ethnicity 2298 2337 2366 2391 2416 2442 2468 2498 2539
White 2348 2393 2426 2453 2477 2501 2525 2552 2590
Two or More Races 2347 2394 2429 2460 2485 2510 2533 2562 2600
Unidentified Race 2318 2360 2390 2417 2443 2469 2496 2525 2566
LEP Status 2274 2312 2337 2359 2380 2401 2424 2453 2492
IDEA Indicator 2264 2302 2327 2349 2371 2395 2423 2457 2507
Section 504 Status 2325 2367 2397 2423 2448 2472 2497 2525 2567
Economic Disadvantage Status 2296 2335 2364 2390 2415 2440 2467 2497 2537
Table 8.43: GRADE 5 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2354 2401 2437 2468 2497 2525 2555 2587 2628
Female 2367 2414 2449 2480 2508 2536 2565 2596 2637
Male 2344 2389 2426 2456 2485 2514 2544 2577 2619
American Indian or Alaska Native 2337 2373 2402 2430 2460 2490 2520 2554 2595
Asian 2402 2461 2501 2533 2560 2587 2611 2640 2679
Black/African American 2322 2363 2395 2421 2448 2475 2504 2539 2584
Native Hawaiian or Pacific Islander 2329 2369 2398 2426 2453 2481 2509 2546 2592
Hispanic/Latino Ethnicity 2332 2373 2404 2432 2458 2484 2512 2545 2588
White 2384 2432 2466 2494 2521 2547 2572 2600 2638
Two or More Races 2385 2433 2468 2498 2527 2554 2579 2609 2652
Unidentified Race 2354 2398 2430 2460 2487 2513 2543 2574 2615
LEP Status 2303 2339 2364 2386 2407 2428 2452 2481 2519
IDEA Indicator 2292 2328 2353 2376 2398 2423 2450 2485 2537
Section 504 Status 2365 2405 2438 2466 2491 2517 2543 2569 2609
Economic Disadvantage Status 2330 2371 2402 2430 2456 2483 2511 2544 2588
Table 8.44: GRADE 6 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2375 2424 2460 2489 2517 2543 2571 2603 2645
Female 2391 2441 2475 2504 2530 2556 2583 2614 2655
Male 2363 2411 2446 2476 2503 2530 2558 2591 2633
American Indian or Alaska Native 2360 2398 2429 2455 2479 2501 2526 2557 2603
Asian 2433 2488 2524 2554 2580 2606 2631 2659 2695
Black/African American 2340 2383 2415 2444 2470 2496 2522 2553 2599
Native Hawaiian or Pacific Islander 2359 2399 2428 2453 2481 2507 2533 2564 2610
Hispanic/Latino Ethnicity 2352 2396 2429 2457 2482 2508 2534 2565 2607
White 2401 2450 2483 2510 2535 2560 2585 2614 2652
Two or More Races 2407 2456 2490 2520 2546 2571 2597 2629 2668
Unidentified Race 2372 2416 2449 2476 2501 2527 2556 2588 2632
LEP Status 2322 2356 2382 2405 2426 2448 2469 2495 2530
IDEA Indicator 2308 2343 2368 2390 2412 2435 2459 2490 2539
Section 504 Status 2384 2425 2456 2483 2508 2532 2557 2586 2627
Economic Disadvantage Status 2355 2399 2432 2460 2486 2512 2539 2570 2612
Table 8.45: GRADE 7 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2395 2452 2492 2525 2553 2579 2606 2636 2676
Female 2416 2472 2510 2540 2566 2592 2617 2646 2684
Male 2379 2434 2475 2509 2538 2566 2594 2625 2666
American Indian or Alaska Native 2367 2417 2451 2484 2510 2537 2563 2594 2637
Asian 2466 2526 2561 2591 2616 2640 2663 2689 2726
Black/African American 2357 2406 2443 2477 2504 2532 2563 2596 2637
Native Hawaiian or Pacific Islander 2370 2420 2452 2486 2514 2539 2566 2596 2632
Hispanic/Latino Ethnicity 2367 2421 2459 2490 2518 2544 2571 2601 2641
White 2423 2479 2517 2546 2572 2595 2620 2647 2684
Two or More Races 2424 2484 2523 2554 2580 2604 2631 2659 2696
Unidentified Race 2393 2446 2485 2515 2542 2568 2595 2625 2667
LEP Status 2325 2370 2401 2426 2449 2473 2498 2525 2561
IDEA Indicator 2316 2357 2387 2412 2436 2461 2489 2522 2566
Section 504 Status 2407 2458 2492 2521 2544 2570 2596 2623 2662
Economic Disadvantage Status 2368 2421 2459 2491 2520 2546 2573 2604 2645
Table 8.46: GRADE 8 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2403 2459 2499 2531 2561 2591 2620 2653 2695
Female 2427 2481 2518 2550 2578 2605 2634 2665 2705
Male 2386 2440 2480 2513 2545 2575 2605 2640 2683
American Indian or Alaska Native 2387 2434 2466 2495 2522 2549 2578 2616 2656
Asian 2471 2533 2573 2605 2632 2656 2680 2707 2744
Black/African American 2367 2415 2451 2482 2510 2540 2570 2604 2651
Native Hawaiian or Pacific Islander 2390 2436 2467 2493 2520 2548 2576 2609 2651
Hispanic/Latino Ethnicity 2376 2429 2466 2497 2525 2553 2582 2614 2658
White 2438 2492 2528 2559 2586 2612 2638 2668 2705
Two or More Races 2437 2492 2532 2564 2593 2620 2647 2677 2718
Unidentified Race 2414 2465 2503 2533 2562 2590 2617 2651 2691
LEP Status 2327 2375 2403 2428 2450 2472 2496 2524 2563
IDEA Indicator 2324 2367 2395 2419 2442 2465 2492 2523 2571
Section 504 Status 2417 2464 2497 2528 2552 2577 2606 2637 2677
Economic Disadvantage Status 2375 2426 2464 2495 2523 2552 2580 2613 2657
Table 8.47: HIGH SCHOOL ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2428 2493 2539 2577 2611 2642 2674 2709 2756
Female 2455 2518 2561 2596 2627 2656 2686 2720 2765
Male 2407 2469 2517 2557 2592 2626 2660 2697 2745
American Indian or Alaska Native 2403 2454 2492 2530 2561 2591 2622 2656 2701
Asian 2513 2584 2627 2661 2690 2718 2745 2776 2818
Black/African American 2376 2434 2478 2516 2553 2586 2622 2661 2708
Native Hawaiian or Pacific Islander 2429 2481 2523 2554 2580 2609 2639 2669 2710
Hispanic/Latino Ethnicity 2406 2466 2511 2547 2579 2610 2642 2676 2722
White 2454 2519 2563 2598 2629 2657 2687 2719 2762
Two or More Races 2467 2533 2580 2618 2649 2678 2707 2740 2785
Unidentified Race 2439 2499 2543 2580 2613 2645 2676 2711 2756
LEP Status 2337 2384 2414 2440 2466 2492 2519 2552 2595
IDEA Indicator 2337 2382 2414 2441 2468 2496 2527 2565 2616
Section 504 Status 2427 2489 2535 2572 2605 2637 2667 2702 2751
Economic Disadvantage Status 2405 2465 2510 2547 2580 2611 2643 2678 2725
Table 8.48: GRADE 3 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2292 2334 2365 2391 2414 2437 2461 2489 2526
Female 2291 2332 2361 2386 2410 2433 2457 2484 2522
Male 2293 2337 2369 2396 2419 2442 2466 2493 2531
American Indian or Alaska Native 2268 2311 2340 2359 2379 2402 2426 2448 2488
Asian 2346 2391 2423 2449 2473 2496 2520 2547 2584
Black/African American 2255 2296 2323 2348 2370 2392 2414 2441 2476
Native Hawaiian or Pacific Islander 2256 2298 2328 2350 2372 2393 2417 2446 2482
Hispanic/Latino Ethnicity 2270 2309 2335 2358 2380 2401 2423 2449 2484
White 2321 2364 2393 2416 2437 2457 2479 2503 2536
Two or More Races 2321 2367 2395 2419 2441 2463 2485 2511 2546
Unidentified Race 2287 2330 2357 2381 2405 2426 2449 2476 2512
LEP Status 2255 2293 2319 2340 2360 2381 2403 2429 2466
IDEA Indicator 2229 2271 2300 2325 2350 2376 2404 2438 2483
Section 504 Status 2296 2343 2372 2394 2416 2439 2461 2485 2518
Economic Disadvantage Status 2267 2306 2334 2357 2380 2401 2424 2450 2486
Table 8.49: GRADE 4 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2334 2373 2402 2428 2452 2476 2501 2530 2568
Female 2335 2372 2399 2424 2447 2471 2495 2523 2561
Male 2333 2374 2404 2431 2456 2482 2507 2537 2575
American Indian or Alaska Native 2315 2349 2373 2395 2413 2435 2456 2483 2519
Asian 2383 2430 2463 2490 2514 2540 2563 2590 2628
Black/African American 2302 2338 2363 2385 2406 2428 2451 2479 2516
Native Hawaiian or Pacific Islander 2318 2350 2373 2395 2414 2435 2458 2484 2521
Hispanic/Latino Ethnicity 2313 2347 2373 2395 2416 2437 2461 2488 2524
White 2356 2395 2424 2449 2472 2494 2516 2542 2576
Two or More Races 2361 2402 2433 2457 2480 2502 2525 2550 2587
Unidentified Race 2326 2361 2386 2409 2433 2456 2480 2508 2546
LEP Status 2293 2326 2349 2369 2388 2407 2429 2456 2492
IDEA Indicator 2276 2310 2335 2358 2379 2403 2431 2465 2515
Section 504 Status 2337 2376 2401 2424 2447 2470 2493 2521 2559
Economic Disadvantage Status 2315 2351 2377 2399 2421 2443 2467 2494 2531
Table 8.50: GRADE 5 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2351 2393 2422 2449 2476 2503 2532 2565 2608
Female 2354 2393 2421 2447 2473 2499 2527 2560 2602
Male 2348 2392 2423 2451 2479 2508 2537 2570 2613
American Indian or Alaska Native 2333 2370 2398 2420 2444 2469 2498 2527 2571
Asian 2403 2453 2490 2523 2550 2577 2604 2631 2671
Black/African American 2318 2356 2381 2405 2425 2448 2472 2502 2545
Native Hawaiian or Pacific Islander 2328 2366 2391 2411 2431 2454 2481 2512 2558
Hispanic/Latino Ethnicity 2329 2368 2394 2416 2438 2461 2486 2516 2558
White 2379 2421 2452 2479 2505 2529 2554 2582 2618
Two or More Races 2377 2418 2449 2479 2505 2533 2558 2587 2625
Unidentified Race 2350 2390 2418 2444 2468 2493 2520 2552 2595
LEP Status 2303 2340 2366 2386 2404 2422 2443 2469 2507
IDEA Indicator 2283 2323 2350 2373 2395 2416 2443 2477 2528
Section 504 Status 2363 2399 2426 2450 2475 2498 2526 2555 2595
Economic Disadvantage Status 2328 2367 2394 2416 2438 2461 2487 2517 2560
Table 8.51: GRADE 6 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2348 2401 2438 2470 2499 2526 2555 2588 2634
Female 2351 2403 2439 2470 2498 2524 2552 2585 2631
Male 2345 2399 2438 2471 2501 2528 2557 2591 2637
American Indian or Alaska Native 2331 2375 2407 2434 2459 2483 2508 2535 2579
Asian 2420 2480 2518 2550 2579 2609 2640 2676 2721
Black/African American 2306 2354 2386 2415 2441 2466 2496 2526 2568
Native Hawaiian or Pacific Islander 2327 2368 2400 2428 2455 2480 2507 2537 2579
Hispanic/Latino Ethnicity 2322 2371 2405 2434 2461 2487 2513 2543 2584
White 2381 2435 2470 2499 2524 2548 2574 2604 2643
Two or More Races 2381 2432 2469 2501 2528 2555 2583 2617 2661
Unidentified Race 2344 2395 2429 2459 2486 2513 2540 2572 2617
LEP Status 2286 2333 2363 2387 2410 2432 2457 2485 2526
IDEA Indicator 2258 2308 2339 2365 2390 2415 2446 2483 2535
Section 504 Status 2357 2405 2440 2468 2494 2518 2544 2575 2621
Economic Disadvantage Status 2321 2369 2404 2433 2460 2487 2514 2545 2587
Table 8.52: GRADE 7 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2362 2416 2455 2488 2518 2548 2579 2614 2664
Female 2367 2419 2456 2487 2516 2545 2576 2611 2660
Male 2357 2413 2453 2488 2519 2550 2582 2618 2668
American Indian or Alaska Native 2334 2380 2416 2444 2472 2500 2529 2561 2606
Asian 2439 2498 2542 2577 2609 2641 2674 2708 2756
Black/African American 2321 2374 2408 2438 2466 2493 2521 2557 2603
Native Hawaiian or Pacific Islander 2331 2375 2409 2437 2463 2490 2521 2553 2595
Hispanic/Latino Ethnicity 2335 2386 2421 2452 2479 2506 2536 2569 2612
White 2388 2444 2481 2512 2540 2568 2596 2627 2670
Two or More Races 2393 2444 2484 2514 2546 2576 2606 2640 2687
Unidentified Race 2354 2403 2440 2472 2503 2532 2565 2600 2647
LEP Status 2291 2341 2372 2398 2420 2445 2469 2498 2542
IDEA Indicator 2272 2321 2352 2378 2404 2428 2456 2492 2549
Section 504 Status 2377 2426 2460 2492 2519 2545 2573 2605 2652
Economic Disadvantage Status 2337 2388 2424 2455 2482 2510 2540 2574 2619
Table 8.53: GRADE 8 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2360 2415 2454 2486 2518 2551 2586 2630 2689
Female 2368 2423 2459 2491 2522 2553 2587 2629 2686
Male 2351 2408 2448 2481 2514 2548 2586 2630 2691
American Indian or Alaska Native 2343 2393 2424 2450 2477 2501 2532 2567 2622
Asian 2434 2493 2540 2582 2623 2661 2699 2740 2804
Black/African American 2312 2368 2405 2436 2465 2492 2523 2560 2610
Native Hawaiian or Pacific Islander 2332 2384 2417 2443 2469 2493 2522 2555 2605
Hispanic/Latino Ethnicity 2330 2384 2420 2450 2477 2505 2537 2574 2627
White 2392 2444 2481 2513 2543 2574 2607 2645 2696
Two or More Races 2395 2445 2482 2516 2550 2584 2621 2664 2717
Unidentified Race 2359 2412 2446 2477 2504 2535 2569 2610 2669
LEP Status 2282 2334 2366 2391 2416 2439 2465 2494 2539
IDEA Indicator 2270 2321 2353 2379 2404 2429 2455 2488 2538
Section 504 Status 2374 2425 2457 2486 2513 2541 2574 2613 2668
Economic Disadvantage Status 2334 2387 2424 2454 2481 2511 2542 2579 2634
Table 8.54: HIGH SCHOOL MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2020-21 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2401 2460 2500 2535 2568 2602 2638 2684 2748
Female 2413 2468 2507 2540 2572 2603 2637 2680 2740
Male 2389 2451 2493 2529 2564 2600 2639 2688 2756
American Indian or Alaska Native 2358 2413 2448 2479 2507 2538 2568 2603 2658
Asian 2495 2564 2612 2653 2691 2728 2764 2804 2853
Black/African American 2351 2413 2454 2485 2513 2543 2575 2612 2670
Native Hawaiian or Pacific Islander 2383 2433 2468 2498 2525 2551 2582 2619 2672
Hispanic/Latino Ethnicity 2380 2438 2474 2505 2535 2564 2596 2632 2683
White 2419 2478 2520 2555 2587 2620 2655 2698 2753
Two or More Races 2424 2490 2536 2573 2608 2642 2683 2728 2787
Unidentified Race 2394 2455 2496 2534 2569 2605 2643 2687 2745
LEP Status 2310 2374 2412 2442 2466 2491 2517 2550 2600
IDEA Indicator 2292 2355 2393 2422 2447 2470 2496 2528 2580
Section 504 Status 2401 2457 2495 2528 2561 2592 2627 2673 2738
Economic Disadvantage Status 2380 2438 2475 2506 2536 2566 2600 2638 2694

References

Smarter Balanced. (2022c). Smarter balanced scoring specifications for summative and interim assessments. Retrieved from https://technicalreports.smarterbalanced.org/scoring_specs/_book/scoringspecs.html.