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 2021-22 administration year. 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, Washington, 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: English learners (EL 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 648,044 1,555 0.2 646,489 99.8
Female 317,694 792 0.2 316,902 99.8
Male 330,131 762 0.2 329,369 99.8
American Indian or Alaska Native 7,059 52 0.7 7,007 99.3
Asian 62,748 91 0.1 62,657 99.9
Black/African American 33,926 61 0.2 33,865 99.8
Native Hawaiian or Pacific Islander 7,820 60 0.8 7,760 99.2
Hispanic/Latino Ethnicity 284,344 187 0.1 284,157 99.9
White 218,623 1,357 0.6 217,266 99.4
Two or More Races 41,649 0 0.0 41,649 100.0
Unidentified Race 28,845 225 0.8 28,620 99.2
EL status 131,432 45 0.0 131,387 100.0
IDEA Indicator 78,603 128 0.2 78,475 99.8
Section 504 Status 9,338 26 0.3 9,312 99.7
Economic Disadvantage Status 352,848 664 0.2 352,184 99.8
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 655,494 1,492 0.2 654,002 99.8
Female 321,119 760 0.2 320,359 99.8
Male 334,129 730 0.2 333,399 99.8
American Indian or Alaska Native 7,124 52 0.7 7,072 99.3
Asian 62,362 111 0.2 62,251 99.8
Black/African American 34,374 58 0.2 34,316 99.8
Native Hawaiian or Pacific Islander 7,826 71 0.9 7,755 99.1
Hispanic/Latino Ethnicity 290,530 203 0.1 290,327 99.9
White 220,569 1,275 0.6 219,294 99.4
Two or More Races 40,554 2 0.0 40,552 100.0
Unidentified Race 29,405 251 0.9 29,154 99.1
EL status 128,801 56 0.0 128,745 100.0
IDEA Indicator 82,371 111 0.1 82,260 99.9
Section 504 Status 12,077 35 0.3 12,042 99.7
Economic Disadvantage Status 358,059 686 0.2 357,373 99.8
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 665,850 1,561 0.2 664,289 99.8
Female 325,412 775 0.2 324,637 99.8
Male 340,056 785 0.2 339,271 99.8
American Indian or Alaska Native 7,342 39 0.5 7,303 99.5
Asian 60,828 83 0.1 60,745 99.9
Black/African American 35,509 56 0.2 35,453 99.8
Native Hawaiian or Pacific Islander 7,958 68 0.9 7,890 99.1
Hispanic/Latino Ethnicity 298,012 214 0.1 297,798 99.9
White 224,570 1,380 0.6 223,190 99.4
Two or More Races 39,715 2 0.0 39,713 100.0
Unidentified Race 30,125 256 0.8 29,869 99.2
EL status 112,203 52 0.0 112,151 100.0
IDEA Indicator 84,202 151 0.2 84,051 99.8
Section 504 Status 15,243 43 0.3 15,200 99.7
Economic Disadvantage Status 365,919 730 0.2 365,189 99.8
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 664,966 1,616 0.2 663,350 99.8
Female 324,618 765 0.2 323,853 99.8
Male 339,668 847 0.2 338,821 99.8
American Indian or Alaska Native 7,561 56 0.7 7,505 99.3
Asian 60,791 79 0.1 60,712 99.9
Black/African American 34,898 137 0.4 34,761 99.6
Native Hawaiian or Pacific Islander 7,951 54 0.7 7,897 99.3
Hispanic/Latino Ethnicity 298,741 232 0.1 298,509 99.9
White 223,799 1,361 0.6 222,438 99.4
Two or More Races 38,499 1 0.0 38,498 100.0
Unidentified Race 30,487 281 0.9 30,206 99.1
EL status 95,217 63 0.1 95,154 99.9
IDEA Indicator 81,672 167 0.2 81,505 99.8
Section 504 Status 17,455 68 0.4 17,387 99.6
Economic Disadvantage Status 368,456 822 0.2 367,634 99.8
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 658,057 1,740 0.3 656,317 99.7
Female 318,965 825 0.3 318,140 99.7
Male 338,139 904 0.3 337,235 99.7
American Indian or Alaska Native 7,820 56 0.7 7,764 99.3
Asian 59,541 69 0.1 59,472 99.9
Black/African American 34,414 108 0.3 34,306 99.7
Native Hawaiian or Pacific Islander 7,284 74 1.0 7,210 99.0
Hispanic/Latino Ethnicity 295,464 264 0.1 295,200 99.9
White 224,009 1,486 0.7 222,523 99.3
Two or More Races 36,941 0 0.0 36,941 100.0
Unidentified Race 30,815 286 0.9 30,529 99.1
EL status 89,027 73 0.1 88,954 99.9
IDEA Indicator 79,234 166 0.2 79,068 99.8
Section 504 Status 19,689 63 0.3 19,626 99.7
Economic Disadvantage Status 359,820 896 0.2 358,924 99.8
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 601,964 1,774 0.3 600,190 99.7
Female 290,962 926 0.3 290,036 99.7
Male 310,109 843 0.3 309,266 99.7
American Indian or Alaska Native 7,352 56 0.8 7,296 99.2
Asian 56,357 77 0.1 56,280 99.9
Black/African American 32,480 164 0.5 32,316 99.5
Native Hawaiian or Pacific Islander 7,093 65 0.9 7,028 99.1
Hispanic/Latino Ethnicity 287,240 283 0.1 286,957 99.9
White 190,865 1,488 0.8 189,377 99.2
Two or More Races 30,047 1 0.0 30,046 100.0
Unidentified Race 29,262 324 1.1 28,938 98.9
EL status 74,418 73 0.1 74,345 99.9
IDEA Indicator 71,791 159 0.2 71,632 99.8
Section 504 Status 18,671 91 0.5 18,580 99.5
Economic Disadvantage Status 343,621 957 0.3 342,664 99.7
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 683,157 1,762 0.3 681,395 99.7
Female 330,788 972 0.3 329,816 99.7
Male 350,944 787 0.2 350,157 99.8
American Indian or Alaska Native 8,258 63 0.8 8,195 99.2
Asian 64,146 51 0.1 64,095 99.9
Black/African American 31,536 90 0.3 31,446 99.7
Native Hawaiian or Pacific Islander 7,888 40 0.5 7,848 99.5
Hispanic/Latino Ethnicity 301,781 267 0.1 301,514 99.9
White 235,401 1,539 0.7 233,862 99.3
Two or More Races 33,898 3 0.0 33,895 100.0
Unidentified Race 27,619 257 0.9 27,362 99.1
EL status 66,090 38 0.1 66,052 99.9
IDEA Indicator 71,206 188 0.3 71,018 99.7
Section 504 Status 28,422 125 0.4 28,297 99.6
Economic Disadvantage Status 348,881 820 0.2 348,061 99.8
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 650,380 1,558 0.2 648,822 99.8
Female 318,783 789 0.2 317,994 99.8
Male 331,372 768 0.2 330,604 99.8
American Indian or Alaska Native 7,047 50 0.7 6,997 99.3
Asian 63,382 94 0.1 63,288 99.9
Black/African American 33,913 63 0.2 33,850 99.8
Native Hawaiian or Pacific Islander 7,843 61 0.8 7,782 99.2
Hispanic/Latino Ethnicity 285,738 193 0.1 285,545 99.9
White 218,876 1,354 0.6 217,522 99.4
Two or More Races 41,843 0 0.0 41,843 100.0
Unidentified Race 28,853 229 0.8 28,624 99.2
EL status 134,303 46 0.0 134,257 100.0
IDEA Indicator 78,577 127 0.2 78,450 99.8
Section 504 Status 9,371 26 0.3 9,345 99.7
Economic Disadvantage Status 353,422 671 0.2 352,751 99.8
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 657,599 1,519 0.2 656,080 99.8
Female 322,061 772 0.2 321,289 99.8
Male 335,285 745 0.2 334,540 99.8
American Indian or Alaska Native 7,125 52 0.7 7,073 99.3
Asian 62,935 114 0.2 62,821 99.8
Black/African American 34,330 59 0.2 34,271 99.8
Native Hawaiian or Pacific Islander 7,853 73 0.9 7,780 99.1
Hispanic/Latino Ethnicity 291,745 205 0.1 291,540 99.9
White 220,894 1,303 0.6 219,591 99.4
Two or More Races 40,766 2 0.0 40,764 100.0
Unidentified Race 29,276 259 0.9 29,017 99.1
EL status 131,381 57 0.0 131,324 100.0
IDEA Indicator 82,278 115 0.1 82,163 99.9
Section 504 Status 12,111 35 0.3 12,076 99.7
Economic Disadvantage Status 358,654 707 0.2 357,947 99.8
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 667,513 1,577 0.2 665,936 99.8
Female 326,172 784 0.2 325,388 99.8
Male 340,950 792 0.2 340,158 99.8
American Indian or Alaska Native 7,330 39 0.5 7,291 99.5
Asian 61,293 84 0.1 61,209 99.9
Black/African American 35,433 61 0.2 35,372 99.8
Native Hawaiian or Pacific Islander 7,989 67 0.8 7,922 99.2
Hispanic/Latino Ethnicity 299,061 218 0.1 298,843 99.9
White 224,707 1,388 0.6 223,319 99.4
Two or More Races 39,883 2 0.0 39,881 100.0
Unidentified Race 30,100 258 0.9 29,842 99.1
EL status 114,500 54 0.0 114,446 100.0
IDEA Indicator 84,055 147 0.2 83,908 99.8
Section 504 Status 15,241 46 0.3 15,195 99.7
Economic Disadvantage Status 366,376 745 0.2 365,631 99.8
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 665,927 1,635 0.2 664,292 99.8
Female 325,006 773 0.2 324,233 99.8
Male 340,242 858 0.3 339,384 99.7
American Indian or Alaska Native 7,550 54 0.7 7,496 99.3
Asian 61,162 82 0.1 61,080 99.9
Black/African American 34,803 146 0.4 34,657 99.6
Native Hawaiian or Pacific Islander 7,966 56 0.7 7,910 99.3
Hispanic/Latino Ethnicity 299,564 232 0.1 299,332 99.9
White 223,753 1,367 0.6 222,386 99.4
Two or More Races 38,592 1 0.0 38,591 100.0
Unidentified Race 30,404 280 0.9 30,124 99.1
EL status 97,164 62 0.1 97,102 99.9
IDEA Indicator 81,529 165 0.2 81,364 99.8
Section 504 Status 17,432 68 0.4 17,364 99.6
Economic Disadvantage Status 368,744 841 0.2 367,903 99.8
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 658,143 1,810 0.3 656,333 99.7
Female 318,826 863 0.3 317,963 99.7
Male 338,359 935 0.3 337,424 99.7
American Indian or Alaska Native 7,802 59 0.8 7,743 99.2
Asian 59,814 69 0.1 59,745 99.9
Black/African American 34,234 173 0.5 34,061 99.5
Native Hawaiian or Pacific Islander 7,313 72 1.0 7,241 99.0
Hispanic/Latino Ethnicity 295,928 277 0.1 295,651 99.9
White 223,312 1,486 0.7 221,826 99.3
Two or More Races 37,055 0 0.0 37,055 100.0
Unidentified Race 30,757 294 1.0 30,463 99.0
EL status 90,932 84 0.1 90,848 99.9
IDEA Indicator 78,944 165 0.2 78,779 99.8
Section 504 Status 19,625 67 0.3 19,558 99.7
Economic Disadvantage Status 359,513 963 0.3 358,550 99.7
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 601,489 1,762 0.3 599,727 99.7
Female 290,503 912 0.3 289,591 99.7
Male 310,101 845 0.3 309,256 99.7
American Indian or Alaska Native 7,296 55 0.8 7,241 99.2
Asian 56,560 76 0.1 56,484 99.9
Black/African American 32,327 164 0.5 32,163 99.5
Native Hawaiian or Pacific Islander 7,125 65 0.9 7,060 99.1
Hispanic/Latino Ethnicity 287,522 284 0.1 287,238 99.9
White 190,021 1,475 0.8 188,546 99.2
Two or More Races 30,086 1 0.0 30,085 100.0
Unidentified Race 29,164 324 1.1 28,840 98.9
EL status 76,110 81 0.1 76,029 99.9
IDEA Indicator 71,326 163 0.2 71,163 99.8
Section 504 Status 18,538 87 0.5 18,451 99.5
Economic Disadvantage Status 343,184 963 0.3 342,221 99.7
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 690,453 1,710 0.2 688,743 99.8
Female 335,270 939 0.3 334,331 99.7
Male 353,736 768 0.2 352,968 99.8
American Indian or Alaska Native 8,283 64 0.8 8,219 99.2
Asian 64,615 52 0.1 64,563 99.9
Black/African American 31,881 88 0.3 31,793 99.7
Native Hawaiian or Pacific Islander 8,090 39 0.5 8,051 99.5
Hispanic/Latino Ethnicity 303,754 261 0.1 303,493 99.9
White 240,006 1,496 0.6 238,510 99.4
Two or More Races 34,666 3 0.0 34,663 100.0
Unidentified Race 25,805 260 1.0 25,545 99.0
EL status 67,268 38 0.1 67,230 99.9
IDEA Indicator 71,267 191 0.3 71,076 99.7
Section 504 Status 29,020 122 0.4 28,898 99.6
Economic Disadvantage Status 350,727 818 0.2 349,909 99.8

8.3 Measurement Bias

Prior to the release of the 2021-22 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 2021-22 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, 2023b).

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) P value MSE 95% CI Miss Rate 99% CI Miss Rate
Standard 3 0.00 0.01 0.73 0.21 5.75% 1.17%
Standard 4 -0.01 0.01 0.44 0.27 5.24% 0.97%
Standard 5 -0.01 0.01 0.28 0.24 5.27% 0.93%
Standard 6 -0.01 0.01 0.19 0.24 5.11% 1.07%
Standard 7 0.01 0.01 0.30 0.27 4.90% 0.90%
Standard 8 0.01 0.01 0.42 0.26 3.93% 0.83%
Standard HS -0.01 0.01 0.33 0.32 4.88% 0.84%
Braille 3 -0.03 0.02 0.05 0.23 4.20% 0.90%
Braille 4 -0.04 0.02 0.04 0.32 5.11% 0.80%
Braille 5 -0.01 0.02 0.34 0.24 4.50% 0.70%
Braille 6 -0.02 0.02 0.16 0.30 6.31% 1.30%
Braille 7 0.00 0.02 0.98 0.31 5.51% 0.70%
Braille 8 0.01 0.02 0.61 0.27 4.71% 0.80%
Braille HS 0.01 0.01 0.35 0.37 3.61% 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 0.36 0.15 0.08 0.05 0.04 -0.03 -0.04 -0.08 -0.18 -0.38
Standard 4 0.42 0.17 0.10 0.09 0.03 0.00 -0.06 -0.12 -0.24 -0.46
Standard 5 0.36 0.15 0.10 0.04 0.05 0.02 -0.05 -0.11 -0.19 -0.45
Standard 6 0.33 0.13 0.10 0.07 0.04 0.00 -0.09 -0.10 -0.23 -0.37
Standard 7 0.43 0.19 0.09 0.10 0.06 -0.01 -0.07 -0.11 -0.16 -0.43
Standard 8 0.50 0.16 0.11 0.02 0.03 0.00 -0.06 -0.11 -0.17 -0.41
Standard HS 0.44 0.17 0.11 0.07 0.01 -0.05 -0.08 -0.09 -0.22 -0.45
Braille 3 0.38 0.19 0.13 0.01 0.02 -0.09 -0.06 -0.11 -0.26 -0.51
Braille 4 0.52 0.14 0.11 0.00 0.03 -0.04 -0.13 -0.15 -0.24 -0.61
Braille 5 0.32 0.16 0.20 0.00 0.03 -0.06 -0.06 -0.12 -0.20 -0.40
Braille 6 0.49 0.21 0.10 0.02 -0.11 0.02 -0.13 -0.19 -0.23 -0.44
Braille 7 0.48 0.30 0.09 0.10 0.09 -0.05 -0.07 -0.19 -0.25 -0.49
Braille 8 0.35 0.23 0.10 0.06 0.04 0.03 -0.12 -0.03 -0.12 -0.45
Braille HS 0.62 0.22 0.16 0.09 -0.02 -0.05 -0.06 -0.09 -0.21 -0.53


Table 8.17: BIAS OF THE ESTIMATED PROFICIENCIES: MATHEMATICS
Pool Grade Mean Bias SE (Bias) P value MSE 95% CI Miss Rate 99% CI Miss Rate
Standard 3 0.00 0.01 0.47 0.15 5.04% 1.04%
Standard 4 0.00 0.01 0.59 0.15 4.80% 1.10%
Standard 5 0.02 0.01 0.03 0.20 5.11% 1.10%
Standard 6 0.01 0.01 0.12 0.24 4.88% 0.87%
Standard 7 0.04 0.01 < 0.01 0.28 4.83% 0.64%
Standard 8 0.02 0.01 0.1 0.36 4.35% 0.84%
Standard HS 0.08 0.01 < 0.01 0.43 4.57% 0.70%
Braille 3 -0.01 0.01 0.42 0.16 4.32% 0.80%
Braille 4 -0.04 0.01 0.01 0.18 3.22% 0.60%
Braille 5 0.01 0.02 0.41 0.24 5.72% 1.50%
Braille 6 0.00 0.02 0.94 0.30 4.02% 1.41%
Braille 7 0.03 0.02 0.08 0.34 4.12% 1.20%
Braille 8 0.02 0.02 0.27 0.46 4.96% 0.71%
Braille HS 0.07 0.02 < 0.01 0.58 4.04% 1.11%


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 0.29 0.11 0.03 0.03 -0.02 -0.02 -0.03 -0.03 -0.08 -0.24
Standard 4 0.29 0.10 0.07 0.04 0.02 -0.04 -0.07 -0.09 -0.09 -0.26
Standard 5 0.44 0.16 0.11 0.01 -0.02 -0.04 -0.03 -0.10 -0.11 -0.24
Standard 6 0.42 0.12 0.09 0.03 0.03 -0.01 -0.05 -0.13 -0.12 -0.24
Standard 7 0.51 0.22 0.13 0.03 0.02 -0.09 -0.05 -0.07 -0.11 -0.24
Standard 8 0.62 0.17 0.12 0.02 -0.03 -0.07 -0.11 -0.11 -0.13 -0.29
Standard HS 0.87 0.27 0.15 0.11 0.00 -0.01 -0.09 -0.14 -0.13 -0.23
Braille 3 0.25 0.10 0.07 0.02 0.03 -0.05 -0.08 -0.07 -0.10 -0.28
Braille 4 0.29 0.04 0.05 0.03 -0.02 0.00 -0.05 -0.15 -0.13 -0.42
Braille 5 0.54 0.05 0.05 0.04 0.00 0.03 -0.04 -0.05 -0.12 -0.38
Braille 6 0.50 0.26 0.11 -0.05 0.04 -0.06 -0.19 -0.11 -0.16 -0.32
Braille 7 0.67 0.30 0.08 -0.04 -0.04 0.01 -0.08 -0.12 -0.14 -0.31
Braille 8 0.59 0.36 0.06 0.00 0.00 -0.06 -0.08 -0.09 -0.14 -0.40
Braille HS 1.11 0.30 0.15 0.07 0.01 -0.05 -0.17 -0.21 -0.18 -0.34

8.4 Reliability

Reliability estimates in this section are based on real data and the adjusted blueprint. Due to different schools’ responses to post-pandemic test administration in 2021-22, results presented here for demographic groups should not be considered as representative of the whole 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
GRADE 3 Total 648,045 10178 1317 0.871
GRADE 3 Female 317,695 9998 1286 0.871
GRADE 3 Male 330,131 10229 1347 0.868
GRADE 3 American Indian or Alaska Native 7,059 8546 1349 0.842
GRADE 3 Asian 62,748 9578 1226 0.872
GRADE 3 Black/African American 33,927 9089 1463 0.839
GRADE 3 Native Hawaiian or Pacific Islander 7,820 8354 1302 0.844
GRADE 3 Hispanic/Latino Ethnicity 284,344 8790 1406 0.840
GRADE 3 White 218,623 9211 1214 0.868
GRADE 3 Two or More Races 41,649 9954 1260 0.873
GRADE 3 Unidentified Race 28,845 9746 1193 0.878
GRADE 3 EL status 131,432 7029 1558 0.778
GRADE 3 IDEA Indicator 78,603 9204 1649 0.821
GRADE 3 Section 504 Status 9,338 9287 1285 0.862
GRADE 3 Economic Disadvantage Status 352,849 8888 1386 0.844
GRADE 4 Total 655,494 10481 1449 0.862
GRADE 4 Female 321,119 10112 1423 0.859
GRADE 4 Male 334,129 10715 1473 0.863
GRADE 4 American Indian or Alaska Native 7,124 8844 1460 0.835
GRADE 4 Asian 62,362 9691 1444 0.851
GRADE 4 Black/African American 34,374 9667 1553 0.839
GRADE 4 Native Hawaiian or Pacific Islander 7,826 8991 1424 0.842
GRADE 4 Hispanic/Latino Ethnicity 290,530 9137 1475 0.839
GRADE 4 White 220,569 9372 1395 0.851
GRADE 4 Two or More Races 40,554 10196 1443 0.858
GRADE 4 Unidentified Race 29,405 10323 1372 0.867
GRADE 4 EL status 128,801 7205 1607 0.777
GRADE 4 IDEA Indicator 82,371 9946 1764 0.823
GRADE 4 Section 504 Status 12,077 9146 1409 0.846
GRADE 4 Economic Disadvantage Status 358,059 9299 1464 0.843
GRADE 5 Total 665,849 11121 1360 0.878
GRADE 5 Female 325,411 10676 1348 0.874
GRADE 5 Male 340,056 11351 1372 0.879
GRADE 5 American Indian or Alaska Native 7,342 9771 1376 0.859
GRADE 5 Asian 60,828 10214 1453 0.858
GRADE 5 Black/African American 35,508 10320 1411 0.863
GRADE 5 Native Hawaiian or Pacific Islander 7,958 9937 1319 0.867
GRADE 5 Hispanic/Latino Ethnicity 298,012 9747 1330 0.864
GRADE 5 White 224,570 9963 1357 0.864
GRADE 5 Two or More Races 39,715 10820 1391 0.871
GRADE 5 Unidentified Race 30,125 10868 1307 0.880
GRADE 5 EL status 112,203 6865 1436 0.791
GRADE 5 IDEA Indicator 84,202 9871 1580 0.840
GRADE 5 Section 504 Status 15,243 9753 1332 0.863
GRADE 5 Economic Disadvantage Status 365,918 9928 1333 0.866
GRADE 6 Total 664,967 10603 1296 0.878
GRADE 6 Female 324,619 10202 1281 0.874
GRADE 6 Male 339,668 10716 1311 0.878
GRADE 6 American Indian or Alaska Native 7,561 9196 1321 0.856
GRADE 6 Asian 60,792 9773 1328 0.864
GRADE 6 Black/African American 34,898 9878 1384 0.860
GRADE 6 Native Hawaiian or Pacific Islander 7,951 9629 1301 0.865
GRADE 6 Hispanic/Latino Ethnicity 298,741 9401 1280 0.864
GRADE 6 White 223,799 9586 1289 0.866
GRADE 6 Two or More Races 38,499 10356 1317 0.873
GRADE 6 Unidentified Race 30,487 10688 1258 0.882
GRADE 6 EL status 95,218 6240 1461 0.766
GRADE 6 IDEA Indicator 81,673 8479 1561 0.816
GRADE 6 Section 504 Status 17,455 8815 1285 0.854
GRADE 6 Economic Disadvantage Status 368,456 9526 1292 0.864
GRADE 7 Total 658,058 11918 1468 0.877
GRADE 7 Female 318,965 11076 1433 0.871
GRADE 7 Male 338,140 12392 1500 0.879
GRADE 7 American Indian or Alaska Native 7,820 10634 1562 0.853
GRADE 7 Asian 59,540 10033 1483 0.852
GRADE 7 Black/African American 34,414 11375 1584 0.861
GRADE 7 Native Hawaiian or Pacific Islander 7,284 10616 1523 0.857
GRADE 7 Hispanic/Latino Ethnicity 295,465 10824 1457 0.865
GRADE 7 White 224,009 10520 1448 0.862
GRADE 7 Two or More Races 36,941 11444 1493 0.870
GRADE 7 Unidentified Race 30,816 11582 1427 0.877
GRADE 7 EL status 89,027 7487 1736 0.768
GRADE 7 IDEA Indicator 79,235 9897 1867 0.811
GRADE 7 Section 504 Status 19,689 10014 1445 0.856
GRADE 7 Economic Disadvantage Status 359,820 11007 1468 0.867
GRADE 8 Total 601,962 12075 1451 0.880
GRADE 8 Female 290,961 11249 1403 0.875
GRADE 8 Male 310,108 12426 1495 0.880
GRADE 8 American Indian or Alaska Native 7,352 10606 1509 0.858
GRADE 8 Asian 56,357 10238 1435 0.860
GRADE 8 Black/African American 32,480 11292 1585 0.860
GRADE 8 Native Hawaiian or Pacific Islander 7,093 10408 1451 0.861
GRADE 8 Hispanic/Latino Ethnicity 287,239 10785 1489 0.862
GRADE 8 White 190,865 10908 1383 0.873
GRADE 8 Two or More Races 30,047 11856 1417 0.880
GRADE 8 Unidentified Race 29,261 11628 1409 0.879
GRADE 8 EL status 74,417 6857 1840 0.732
GRADE 8 IDEA Indicator 71,789 8931 1900 0.787
GRADE 8 Section 504 Status 18,671 10600 1392 0.869
GRADE 8 Economic Disadvantage Status 343,621 11135 1493 0.866
HIGH SCHOOL Total 683,164 14829 1873 0.874
HIGH SCHOOL Female 330,790 13323 1801 0.865
HIGH SCHOOL Male 350,949 15761 1940 0.877
HIGH SCHOOL American Indian or Alaska Native 8,258 13244 1945 0.853
HIGH SCHOOL Asian 64,146 12408 1824 0.853
HIGH SCHOOL Black/African American 31,537 14687 2131 0.855
HIGH SCHOOL Native Hawaiian or Pacific Islander 7,888 12907 1975 0.847
HIGH SCHOOL Hispanic/Latino Ethnicity 301,780 13899 1889 0.864
HIGH SCHOOL White 235,407 13255 1828 0.862
HIGH SCHOOL Two or More Races 33,898 13957 1893 0.864
HIGH SCHOOL Unidentified Race 27,620 14271 1756 0.877
HIGH SCHOOL EL status 66,090 8234 2480 0.699
HIGH SCHOOL IDEA Indicator 71,207 11123 2413 0.783
HIGH SCHOOL Section 504 Status 28,422 13095 1827 0.860
HIGH SCHOOL Economic Disadvantage Status 348,880 14180 1902 0.866


Table 8.20: MARGINAL RELIABILITY OF TOTAL SUMMATIVE SCORES: MATHEMATICS
Grade Group N Var MSE Rho
GRADE 3 Total 650,380 8606 828 0.904
GRADE 3 Female 318,783 8231 820 0.900
GRADE 3 Male 331,372 8935 837 0.906
GRADE 3 American Indian or Alaska Native 7,047 7590 1051 0.862
GRADE 3 Asian 63,382 7952 772 0.903
GRADE 3 Black/African American 33,913 7731 1031 0.867
GRADE 3 Native Hawaiian or Pacific Islander 7,843 7413 971 0.869
GRADE 3 Hispanic/Latino Ethnicity 285,738 7234 884 0.878
GRADE 3 White 218,876 7627 762 0.900
GRADE 3 Two or More Races 41,843 8576 788 0.908
GRADE 3 Unidentified Race 28,853 8545 926 0.892
GRADE 3 EL status 134,303 6619 1012 0.847
GRADE 3 IDEA Indicator 78,577 9321 1259 0.865
GRADE 3 Section 504 Status 9,371 7851 783 0.900
GRADE 3 Economic Disadvantage Status 353,422 7479 893 0.881
GRADE 4 Total 657,599 8776 888 0.899
GRADE 4 Female 322,061 8177 869 0.894
GRADE 4 Male 335,285 9311 907 0.903
GRADE 4 American Indian or Alaska Native 7,125 7356 1123 0.847
GRADE 4 Asian 62,935 8216 813 0.901
GRADE 4 Black/African American 34,330 7626 1155 0.849
GRADE 4 Native Hawaiian or Pacific Islander 7,853 7437 996 0.866
GRADE 4 Hispanic/Latino Ethnicity 291,745 7088 966 0.864
GRADE 4 White 220,894 7780 789 0.899
GRADE 4 Two or More Races 40,766 8809 832 0.906
GRADE 4 Unidentified Race 29,276 8459 928 0.890
GRADE 4 EL status 131,381 6201 1145 0.815
GRADE 4 IDEA Indicator 82,278 8982 1448 0.839
GRADE 4 Section 504 Status 12,111 7647 792 0.896
GRADE 4 Economic Disadvantage Status 358,654 7436 972 0.869
GRADE 5 Total 667,513 10180 1211 0.881
GRADE 5 Female 326,172 9500 1196 0.874
GRADE 5 Male 340,950 10810 1226 0.887
GRADE 5 American Indian or Alaska Native 7,330 8817 1581 0.821
GRADE 5 Asian 61,293 9712 952 0.902
GRADE 5 Black/African American 35,433 8595 1617 0.812
GRADE 5 Native Hawaiian or Pacific Islander 7,989 8450 1361 0.839
GRADE 5 Hispanic/Latino Ethnicity 299,062 8171 1372 0.832
GRADE 5 White 224,706 9147 1038 0.887
GRADE 5 Two or More Races 39,883 10325 1087 0.895
GRADE 5 Unidentified Race 30,100 9852 1227 0.875
GRADE 5 EL status 114,500 6525 1721 0.736
GRADE 5 IDEA Indicator 84,054 9449 1994 0.789
GRADE 5 Section 504 Status 15,241 8932 1109 0.876
GRADE 5 Economic Disadvantage Status 366,376 8558 1373 0.840
GRADE 6 Total 665,928 12579 1656 0.868
GRADE 6 Female 325,006 11990 1621 0.865
GRADE 6 Male 340,243 13133 1689 0.871
GRADE 6 American Indian or Alaska Native 7,550 10608 2168 0.796
GRADE 6 Asian 61,162 12087 1250 0.897
GRADE 6 Black/African American 34,803 10860 2337 0.785
GRADE 6 Native Hawaiian or Pacific Islander 7,966 11038 2038 0.815
GRADE 6 Hispanic/Latino Ethnicity 299,564 10470 1913 0.817
GRADE 6 White 223,754 11023 1374 0.875
GRADE 6 Two or More Races 38,592 12579 1470 0.883
GRADE 6 Unidentified Race 30,404 12692 1727 0.864
GRADE 6 EL status 97,164 8252 2781 0.663
GRADE 6 IDEA Indicator 81,530 11082 3346 0.698
GRADE 6 Section 504 Status 17,432 10321 1427 0.862
GRADE 6 Economic Disadvantage Status 368,744 10829 1910 0.824
GRADE 7 Total 658,141 13879 1865 0.866
GRADE 7 Female 318,827 13277 1857 0.860
GRADE 7 Male 338,356 14428 1874 0.870
GRADE 7 American Indian or Alaska Native 7,802 11047 2353 0.787
GRADE 7 Asian 59,814 13597 1346 0.901
GRADE 7 Black/African American 34,234 11110 2519 0.773
GRADE 7 Native Hawaiian or Pacific Islander 7,313 11379 2316 0.796
GRADE 7 Hispanic/Latino Ethnicity 295,926 11074 2165 0.804
GRADE 7 White 223,311 12213 1572 0.871
GRADE 7 Two or More Races 37,055 13923 1659 0.881
GRADE 7 Unidentified Race 30,758 13402 1929 0.856
GRADE 7 EL status 90,932 8101 3099 0.617
GRADE 7 IDEA Indicator 78,943 10405 3418 0.672
GRADE 7 Section 504 Status 19,625 11530 1652 0.857
GRADE 7 Economic Disadvantage Status 359,513 11621 2152 0.815
GRADE 8 Total 601,488 15911 2140 0.866
GRADE 8 Female 290,502 15033 2090 0.861
GRADE 8 Male 310,101 16739 2187 0.869
GRADE 8 American Indian or Alaska Native 7,296 12338 2793 0.774
GRADE 8 Asian 56,560 16328 1534 0.906
GRADE 8 Black/African American 32,327 11964 2804 0.766
GRADE 8 Native Hawaiian or Pacific Islander 7,125 12332 2648 0.785
GRADE 8 Hispanic/Latino Ethnicity 287,522 12280 2411 0.804
GRADE 8 White 190,021 14441 1879 0.870
GRADE 8 Two or More Races 30,086 16473 1918 0.884
GRADE 8 Unidentified Race 29,163 15055 2284 0.848
GRADE 8 EL status 76,110 8295 3351 0.596
GRADE 8 IDEA Indicator 71,325 10239 3567 0.652
GRADE 8 Section 504 Status 18,538 13927 2008 0.856
GRADE 8 Economic Disadvantage Status 343,184 13112 2421 0.815
HIGH SCHOOL Total 690,450 17524 2842 0.838
HIGH SCHOOL Female 335,266 15843 2673 0.831
HIGH SCHOOL Male 353,736 19118 3003 0.843
HIGH SCHOOL American Indian or Alaska Native 8,283 12797 3654 0.714
HIGH SCHOOL Asian 64,615 19041 1771 0.907
HIGH SCHOOL Black/African American 31,882 12972 3892 0.700
HIGH SCHOOL Native Hawaiian or Pacific Islander 8,090 12532 3010 0.760
HIGH SCHOOL Hispanic/Latino Ethnicity 303,752 13444 3430 0.745
HIGH SCHOOL White 240,005 16147 2375 0.853
HIGH SCHOOL Two or More Races 34,665 18153 2438 0.866
HIGH SCHOOL Unidentified Race 25,805 17595 2869 0.837
HIGH SCHOOL EL status 67,268 8856 5179 0.415
HIGH SCHOOL IDEA Indicator 71,264 10169 5421 0.467
HIGH SCHOOL Section 504 Status 29,020 15737 2554 0.838
HIGH SCHOOL Economic Disadvantage Status 350,728 14311 3360 0.765

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
GRADE 3 1 216,356 0.334 0.291 0.041 0.001 0.000 0.873 0.751
GRADE 3 2 147,388 0.227 0.043 0.140 0.042 0.001 0.616 0.751
GRADE 3 3 130,141 0.201 0.001 0.043 0.117 0.040 0.583 0.751
GRADE 3 4 154,160 0.238 0.000 0.001 0.034 0.202 0.851 0.751
GRADE 4 1 223,006 0.340 0.298 0.040 0.003 0.000 0.875 0.734
GRADE 4 2 132,702 0.202 0.046 0.109 0.045 0.002 0.540 0.734
GRADE 4 3 138,954 0.212 0.003 0.045 0.121 0.044 0.569 0.734
GRADE 4 4 160,832 0.245 0.000 0.002 0.037 0.207 0.842 0.734
GRADE 5 1 208,221 0.313 0.275 0.036 0.001 0.000 0.880 0.752
GRADE 5 2 134,045 0.201 0.042 0.117 0.042 0.000 0.579 0.752
GRADE 5 3 174,578 0.262 0.002 0.044 0.174 0.042 0.665 0.752
GRADE 5 4 149,005 0.224 0.000 0.001 0.038 0.186 0.829 0.752
GRADE 6 1 192,772 0.290 0.253 0.037 0.000 0.000 0.872 0.758
GRADE 6 2 168,488 0.253 0.043 0.167 0.044 0.000 0.659 0.758
GRADE 6 3 189,578 0.285 0.001 0.047 0.198 0.040 0.695 0.758
GRADE 6 4 114,129 0.172 0.000 0.000 0.031 0.140 0.816 0.758
GRADE 7 1 177,064 0.269 0.236 0.033 0.001 0.000 0.875 0.760
GRADE 7 2 149,961 0.228 0.040 0.145 0.043 0.000 0.637 0.760
GRADE 7 3 212,920 0.324 0.001 0.048 0.233 0.041 0.720 0.760
GRADE 7 4 118,113 0.179 0.000 0.000 0.034 0.146 0.811 0.760
GRADE 8 1 164,056 0.273 0.238 0.035 0.000 0.000 0.872 0.766
GRADE 8 2 152,055 0.253 0.041 0.168 0.043 0.000 0.665 0.766
GRADE 8 3 189,787 0.315 0.000 0.046 0.231 0.038 0.732 0.766
GRADE 8 4 96,064 0.160 0.000 0.000 0.030 0.129 0.811 0.766
HIGH SCHOOL 1 149,259 0.218 0.188 0.030 0.001 0.000 0.862 0.762
HIGH SCHOOL 2 148,195 0.217 0.034 0.144 0.039 0.000 0.662 0.762
HIGH SCHOOL 3 207,501 0.304 0.000 0.046 0.212 0.045 0.698 0.762
HIGH SCHOOL 4 178,209 0.261 0.000 0.000 0.043 0.218 0.835 0.762


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
GRADE 3 1 217,666 0.335 0.298 0.036 0.001 0.000 0.889 0.792
GRADE 3 2 145,556 0.224 0.038 0.146 0.039 0.000 0.654 0.792
GRADE 3 3 160,642 0.247 0.000 0.038 0.179 0.030 0.724 0.792
GRADE 3 4 126,516 0.195 0.000 0.000 0.025 0.169 0.869 0.792
GRADE 4 1 209,797 0.319 0.280 0.039 0.000 0.000 0.877 0.798
GRADE 4 2 188,049 0.286 0.039 0.210 0.038 0.000 0.733 0.798
GRADE 4 3 146,432 0.223 0.000 0.035 0.159 0.028 0.715 0.798
GRADE 4 4 113,321 0.172 0.000 0.000 0.023 0.149 0.866 0.798
GRADE 5 1 278,054 0.417 0.367 0.049 0.001 0.000 0.880 0.791
GRADE 5 2 172,014 0.258 0.042 0.178 0.037 0.001 0.692 0.791
GRADE 5 3 101,366 0.152 0.000 0.031 0.094 0.026 0.621 0.791
GRADE 5 4 116,079 0.174 0.000 0.000 0.022 0.152 0.872 0.791
GRADE 6 1 265,733 0.399 0.354 0.044 0.001 0.000 0.887 0.788
GRADE 6 2 183,660 0.276 0.043 0.192 0.040 0.001 0.695 0.788
GRADE 6 3 108,824 0.163 0.000 0.033 0.102 0.028 0.624 0.788
GRADE 6 4 107,711 0.162 0.000 0.000 0.021 0.140 0.866 0.788
GRADE 7 1 267,448 0.406 0.357 0.048 0.001 0.000 0.879 0.785
GRADE 7 2 171,931 0.261 0.045 0.176 0.040 0.001 0.672 0.785
GRADE 7 3 114,870 0.175 0.000 0.033 0.115 0.027 0.656 0.785
GRADE 7 4 103,892 0.158 0.000 0.000 0.020 0.138 0.873 0.785
GRADE 8 1 281,514 0.468 0.413 0.054 0.002 0.000 0.882 0.788
GRADE 8 2 140,322 0.233 0.046 0.147 0.039 0.001 0.630 0.788
GRADE 8 3 84,029 0.140 0.000 0.028 0.087 0.024 0.626 0.788
GRADE 8 4 95,623 0.159 0.000 0.000 0.018 0.141 0.887 0.788
HIGH SCHOOL 1 351,160 0.509 0.450 0.056 0.002 0.000 0.886 0.803
HIGH SCHOOL 2 157,389 0.228 0.043 0.147 0.037 0.000 0.644 0.803
HIGH SCHOOL 3 106,619 0.154 0.000 0.026 0.110 0.018 0.711 0.803
HIGH SCHOOL 4 75,282 0.109 0.000 0.000 0.013 0.096 0.881 0.803

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 (shortened) blueprint and in the reporting scale metric.

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 d1 d2 d3 d4 d5 d6 d7 d8 d9 d10
ELA 3 35.2 51.7 37.6 34.5 32.9 31.9 31.4 31.4 31.5 32.4 35.3
ELA 4 37.3 49.8 38.1 36.3 35.5 34.7 34.2 33.7 34.3 35.3 39.2
ELA 5 36.2 46.0 35.4 33.4 32.8 32.9 33.2 33.8 34.9 36.8 41.1
ELA 6 35.4 45.8 35.7 33.3 32.3 32.0 32.4 33.2 34.1 35.3 38.3
ELA 7 37.4 51.3 38.2 35.2 33.9 33.4 33.9 34.2 35.1 36.6 40.1
ELA 8 37.3 53.2 37.9 34.7 34.0 34.0 34.0 34.1 34.5 35.7 39.0
ELA HS 42.1 60.1 43.4 39.6 38.2 37.8 37.6 38.3 39.0 40.7 43.7


Table 8.24: AVERAGE SEM BY DECILE: MATHEMATICS
Subject Grade Mean d1 d2 d3 d4 d5 d6 d7 d8 d9 d10
MATH 3 27.3 45.7 31.0 27.4 25.4 24.1 23.2 22.8 22.3 22.9 25.7
MATH 4 28.0 47.7 31.9 28.2 26.4 25.1 24.0 23.2 22.9 22.9 25.2
MATH 5 32.8 56.2 40.6 36.5 33.7 30.9 28.3 26.1 24.7 24.0 25.3
MATH 6 37.1 73.4 45.2 38.9 34.8 32.2 30.5 29.1 27.9 27.4 29.2
MATH 7 39.8 75.8 48.7 42.7 39.3 36.6 34.2 31.8 29.8 28.3 29.2
MATH 8 43.6 77.4 52.9 47.4 44.7 42.5 39.9 36.8 32.9 29.4 30.1
MATH HS 48.6 98.5 64.3 54.6 48.5 44.1 40.7 37.8 34.8 31.4 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
Subject Grade Cut1v2_N Cut1v2_M Cut1v2_SD Cut2v3_N Cut2v3_M Cut2v3_SD Cut3v4_N Cut3v4_M Cut3v4_SD
ELA 3 44,671 33.1 2.31 49,617 31.4 2.12 41,744 31.5 2.00
ELA 4 44,738 35.4 2.62 51,208 34.2 2.60 43,474 34.4 2.41
ELA 5 43,285 32.7 2.56 48,901 33.0 2.40 41,097 35.3 2.31
ELA 6 42,601 32.7 2.50 49,663 32.3 2.95 36,919 35.0 2.68
ELA 7 36,747 34.8 3.60 48,091 33.6 3.43 37,204 36.0 2.90
ELA 8 35,181 34.2 2.02 42,746 34.0 1.75 31,121 35.5 1.69
ELA HS 28,160 40.3 4.20 40,862 37.9 3.64 42,023 38.9 3.38


Table 8.26: SEM WITHIN 10 POINTS OF ACHIEVEMENT LEVEL CUT SCORES: MATHEMATICS
Subject Grade Cut1v2_N Cut1v2_M Cut1v2_SD Cut2v3_N Cut2v3_M Cut2v3_SD Cut3v4_N Cut3v4_M Cut3v4_SD
MATH 3 50,668 25.6 1.58 58,173 23.2 1.12 42,013 22.4 1.18
MATH 4 50,113 26.7 1.81 53,812 23.6 1.33 38,480 22.8 1.12
MATH 5 51,270 31.8 2.02 46,232 25.6 1.39 35,452 24.0 1.39
MATH 6 45,585 33.3 2.37 45,171 28.7 1.90 31,771 27.4 1.43
MATH 7 44,123 37.6 2.35 41,180 31.3 2.16 27,988 28.4 2.16
MATH 8 39,255 42.0 2.26 30,617 34.8 2.05 21,821 29.5 2.01
MATH HS 42,411 42.0 3.60 32,717 35.1 2.30 18,221 29.9 2.46

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 , 2021-22 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 648,045 2413 100.9 33.4 22.7 20.1 23.8 43.9
Female 317,695 2421 100.0 30.2 22.7 21.0 26.1 47.1
Male 330,131 2405 101.1 36.5 22.8 19.2 21.5 40.8
American Indian or Alaska Native 7,059 2371 92.4 49.5 24.2 15.5 10.9 26.3
Asian 62,748 2472 97.9 15.2 16.3 21.5 47.0 68.5
Black/African American 33,927 2373 95.3 48.7 23.5 15.8 12.0 27.8
Native Hawaiian or Pacific Islander 7,820 2377 91.4 46.7 25.3 16.4 11.6 28.0
Hispanic/Latino Ethnicity 284,344 2381 93.8 44.7 25.0 17.2 13.0 30.2
White 218,623 2435 96.0 24.2 22.0 23.4 30.5 53.8
Two or More Races 41,649 2439 99.8 24.0 20.6 22.4 32.9 55.3
Unidentified Race 28,845 2405 98.7 36.1 23.2 19.5 21.2 40.7
EL Status 131,432 2348 83.8 60.0 23.9 11.1 5.0 16.1
IDEA Indicator 78,603 2349 95.9 60.9 19.3 10.9 8.9 19.8
Section 504 Status 9,338 2417 96.4 30.7 23.8 21.7 23.7 45.4
Economic Disadvantage Status 352,849 2383 94.3 43.9 24.8 17.5 13.7 31.3
Table 8.28: GRADE 4 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 655,494 2457 102.4 34.0 20.2 21.2 24.5 45.7
Female 321,119 2465 100.6 30.9 20.5 22.0 26.6 48.6
Male 334,129 2450 103.5 37.0 20.0 20.4 22.5 43.0
American Indian or Alaska Native 7,124 2414 94.0 51.1 22.4 16.2 10.4 26.5
Asian 62,362 2519 98.4 15.4 13.3 21.7 49.6 71.3
Black/African American 34,374 2415 98.3 50.3 21.0 16.5 12.3 28.7
Native Hawaiian or Pacific Islander 7,826 2424 94.8 47.3 21.5 18.2 13.0 31.2
Hispanic/Latino Ethnicity 290,530 2426 95.6 45.2 22.4 18.9 13.5 32.4
White 220,569 2480 96.8 24.6 19.7 24.3 31.4 55.7
Two or More Races 40,554 2483 101.0 24.8 18.4 23.3 33.5 56.8
Unidentified Race 29,405 2452 101.6 36.2 20.4 20.7 22.7 43.4
EL Status 128,801 2387 84.9 63.1 21.2 11.7 4.0 15.7
IDEA Indicator 82,371 2383 99.7 65.4 16.1 10.5 8.0 18.5
Section 504 Status 12,077 2464 95.6 30.6 21.6 23.1 24.7 47.8
Economic Disadvantage Status 358,059 2429 96.4 44.4 22.2 19.0 14.3 33.4
Table 8.29: GRADE 5 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 665,849 2495 105.5 31.3 20.1 26.2 22.4 48.6
Female 325,411 2505 103.3 27.5 20.2 27.3 25.0 52.2
Male 340,056 2485 106.5 34.9 20.0 25.2 19.9 45.1
American Indian or Alaska Native 7,342 2450 98.8 48.1 21.4 20.5 10.0 30.5
Asian 60,828 2560 101.1 13.5 12.7 26.6 47.2 73.8
Black/African American 35,508 2451 101.6 47.4 20.8 20.9 10.9 31.8
Native Hawaiian or Pacific Islander 7,958 2460 99.7 44.0 21.3 22.7 12.0 34.7
Hispanic/Latino Ethnicity 298,012 2464 98.7 41.3 22.9 23.4 12.4 35.8
White 224,570 2518 99.8 22.2 19.0 30.1 28.7 58.8
Two or More Races 39,715 2519 104.0 23.1 17.9 28.9 30.2 59.0
Unidentified Race 30,125 2491 104.2 32.4 20.5 26.2 20.9 47.1
EL Status 112,203 2409 82.9 65.4 21.5 11.1 2.0 13.2
IDEA Indicator 84,202 2408 99.4 66.4 16.1 11.6 5.9 17.5
Section 504 Status 15,243 2500 98.8 28.1 21.4 29.0 21.5 50.5
Economic Disadvantage Status 365,918 2466 99.6 40.8 22.5 23.6 13.0 36.6
Table 8.30: GRADE 6 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 664,967 2515 103.0 29.0 25.3 28.5 17.2 45.7
Female 324,619 2527 101.0 24.6 25.1 30.3 19.9 50.2
Male 339,668 2504 103.5 33.2 25.6 26.8 14.5 41.3
American Indian or Alaska Native 7,561 2470 95.9 45.5 27.5 20.6 6.5 27.0
Asian 60,792 2579 98.9 12.1 16.0 32.8 39.1 71.9
Black/African American 34,898 2472 99.4 45.0 26.3 21.0 7.7 28.7
Native Hawaiian or Pacific Islander 7,951 2478 98.1 43.0 26.8 21.8 8.5 30.3
Hispanic/Latino Ethnicity 298,741 2487 97.0 37.8 28.4 24.5 9.3 33.8
White 223,799 2536 97.9 21.2 24.4 33.0 21.5 54.4
Two or More Races 38,499 2538 101.8 21.6 22.9 32.0 23.4 55.4
Unidentified Race 30,487 2511 103.4 30.6 25.1 28.0 16.3 44.2
EL Status 95,218 2423 79.0 66.7 24.6 7.9 0.8 8.7
IDEA Indicator 81,673 2422 92.1 68.2 19.3 9.5 3.0 12.5
Section 504 Status 17,455 2517 93.9 26.5 28.3 30.1 15.0 45.2
Economic Disadvantage Status 368,456 2488 97.6 37.8 28.1 24.6 9.5 34.1
Table 8.31: GRADE 7 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 658,058 2544 109.2 26.9 22.8 32.4 17.9 50.3
Female 318,965 2558 105.2 22.4 22.4 34.6 20.5 55.1
Male 338,140 2532 111.3 31.2 23.1 30.2 15.5 45.7
American Indian or Alaska Native 7,820 2500 103.1 40.9 26.9 25.1 7.1 32.2
Asian 59,540 2613 100.2 10.5 13.1 35.0 41.4 76.4
Black/African American 34,414 2498 106.7 42.2 25.1 24.9 7.8 32.7
Native Hawaiian or Pacific Islander 7,284 2507 103.0 38.8 26.8 25.9 8.4 34.4
Hispanic/Latino Ethnicity 295,465 2514 104.0 35.8 26.4 28.4 9.4 37.8
White 224,009 2568 102.6 19.0 20.9 37.3 22.8 60.0
Two or More Races 36,941 2568 107.0 19.9 20.3 35.4 24.5 59.8
Unidentified Race 30,816 2542 107.6 27.6 23.3 31.9 17.2 49.1
EL Status 89,027 2442 86.5 65.1 24.8 9.5 0.6 10.1
IDEA Indicator 79,235 2442 99.5 65.6 20.3 11.3 2.8 14.1
Section 504 Status 19,689 2549 100.1 23.3 25.2 35.1 16.4 51.5
Economic Disadvantage Status 359,820 2515 104.9 35.4 26.0 28.6 10.0 38.6
Table 8.32: GRADE 8 ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 601,962 2554 109.9 27.3 25.3 31.5 16.0 47.5
Female 290,961 2569 106.1 22.0 25.1 34.1 18.8 52.9
Male 310,108 2539 111.5 32.2 25.4 29.1 13.2 42.4
American Indian or Alaska Native 7,352 2512 103.0 40.3 28.3 24.7 6.7 31.4
Asian 56,357 2627 101.2 10.0 14.6 36.4 39.0 75.4
Black/African American 32,480 2508 106.3 42.3 27.1 23.6 7.0 30.6
Native Hawaiian or Pacific Islander 7,093 2520 102.0 37.5 29.0 26.2 7.3 33.5
Hispanic/Latino Ethnicity 287,239 2525 103.9 35.3 29.0 27.3 8.4 35.7
White 190,865 2576 104.4 19.6 23.5 36.7 20.3 56.9
Two or More Races 30,047 2578 108.9 20.5 22.1 34.9 22.5 57.4
Unidentified Race 29,261 2553 107.8 26.9 25.6 32.5 15.0 47.5
EL Status 74,417 2447 82.8 67.2 25.6 6.8 0.4 7.2
IDEA Indicator 71,789 2450 94.5 66.8 21.6 9.7 1.9 11.6
Section 504 Status 18,671 2558 103.0 24.4 27.1 33.3 15.2 48.5
Economic Disadvantage Status 343,621 2526 105.5 35.3 28.2 27.4 9.1 36.5
Table 8.33: HIGH SCHOOL ELA/LITERACY AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 683,164 2592 121.8 21.8 21.7 30.4 26.1 56.5
Female 330,790 2609 115.4 17.0 21.2 32.4 29.5 61.8
Male 350,949 2577 125.5 26.5 22.2 28.5 22.9 51.4
American Indian or Alaska Native 8,258 2546 115.1 32.9 27.8 27.0 12.3 39.3
Asian 64,146 2659 111.4 9.4 13.0 28.6 49.0 77.6
Black/African American 31,537 2539 121.2 36.8 25.1 24.7 13.4 38.1
Native Hawaiian or Pacific Islander 7,888 2551 113.6 31.5 27.9 27.0 13.6 40.6
Hispanic/Latino Ethnicity 301,780 2559 117.9 29.3 25.7 29.0 16.0 45.0
White 235,407 2618 115.1 15.2 19.1 33.0 32.8 65.7
Two or More Races 33,898 2619 118.1 15.9 18.3 31.6 34.2 65.8
Unidentified Race 27,620 2595 119.5 21.0 21.4 31.5 26.1 57.6
EL Status 66,090 2459 90.7 64.5 26.2 8.5 0.9 9.3
IDEA Indicator 71,207 2477 105.5 58.9 24.6 12.8 3.8 16.5
Section 504 Status 28,422 2607 114.4 16.8 22.3 32.4 28.4 60.8
Economic Disadvantage Status 348,880 2561 119.1 29.0 25.4 28.7 16.9 45.6
Table 8.34: GRADE 3 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 650,380 2419 92.8 33.5 22.4 24.7 19.5 44.2
Female 318,783 2415 90.7 35.1 22.9 24.3 17.7 42.0
Male 331,372 2423 94.5 31.9 21.9 25.1 21.1 46.2
American Indian or Alaska Native 7,047 2377 87.1 50.5 24.1 17.5 7.9 25.4
Asian 63,382 2485 89.2 12.7 14.3 26.5 46.4 72.9
Black/African American 33,913 2374 87.9 52.4 22.8 17.1 7.6 24.8
Native Hawaiian or Pacific Islander 7,843 2382 86.1 49.2 23.8 18.3 8.8 27.0
Hispanic/Latino Ethnicity 285,738 2390 85.1 45.0 24.6 20.9 9.5 30.4
White 218,876 2438 87.3 24.0 22.1 29.5 24.4 53.9
Two or More Races 41,843 2440 92.6 25.0 20.7 27.2 27.0 54.3
Unidentified Race 28,853 2409 92.4 37.1 22.7 23.9 16.3 40.3
EL Status 134,303 2367 81.4 57.1 23.1 14.6 5.1 19.8
IDEA Indicator 78,577 2359 96.5 60.2 17.6 14.0 8.3 22.2
Section 504 Status 9,371 2422 88.6 31.0 24.2 25.7 19.1 44.8
Economic Disadvantage Status 353,422 2392 86.5 44.1 24.4 21.1 10.3 31.4
Table 8.35: GRADE 4 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 657,599 2457 93.7 31.9 28.6 22.3 17.2 39.5
Female 322,061 2452 90.4 33.3 29.8 21.9 15.0 36.9
Male 335,285 2461 96.5 30.5 27.5 22.6 19.4 42.0
American Indian or Alaska Native 7,125 2415 85.8 48.9 30.4 14.7 6.0 20.7
Asian 62,935 2527 90.6 11.6 17.9 25.7 44.9 70.5
Black/African American 34,330 2409 87.3 51.7 28.2 14.2 6.0 20.1
Native Hawaiian or Pacific Islander 7,853 2423 86.2 44.8 30.6 17.3 7.3 24.6
Hispanic/Latino Ethnicity 291,745 2426 84.2 43.4 31.7 17.6 7.4 24.9
White 220,894 2479 88.2 21.8 28.2 27.6 22.3 49.9
Two or More Races 40,766 2479 93.9 23.6 26.2 25.7 24.4 50.2
Unidentified Race 29,276 2450 92.0 34.3 29.1 21.9 14.8 36.7
EL Status 131,381 2398 78.7 57.7 28.7 10.4 3.2 13.6
IDEA Indicator 82,278 2391 94.8 61.8 21.4 10.5 6.3 16.8
Section 504 Status 12,111 2466 87.4 27.3 30.4 24.7 17.6 42.3
Economic Disadvantage Status 358,654 2429 86.2 42.3 31.2 18.0 8.4 26.5
Table 8.36: GRADE 5 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 667,513 2479 100.9 41.7 25.8 15.2 17.4 32.6
Female 326,172 2475 97.5 42.9 26.8 14.7 15.6 30.2
Male 340,950 2482 104.0 40.4 24.7 15.7 19.1 34.8
American Indian or Alaska Native 7,330 2434 93.9 59.4 24.4 9.4 6.8 16.2
Asian 61,293 2556 98.6 16.3 18.8 18.8 46.1 64.9
Black/African American 35,433 2427 92.7 62.8 22.5 8.9 5.8 14.7
Native Hawaiian or Pacific Islander 7,989 2447 91.9 54.7 25.9 11.2 8.2 19.4
Hispanic/Latino Ethnicity 299,062 2447 90.4 54.4 26.5 11.4 7.7 19.2
White 224,706 2502 95.6 30.7 27.3 19.4 22.5 41.9
Two or More Races 39,883 2501 101.6 32.5 25.3 18.1 24.2 42.2
Unidentified Race 30,100 2473 99.3 43.3 25.8 15.2 15.7 30.8
EL Status 114,500 2407 80.8 73.4 19.6 4.8 2.2 7.0
IDEA Indicator 84,054 2402 97.2 73.5 15.3 5.9 5.2 11.2
Section 504 Status 15,241 2485 94.5 38.3 28.0 16.7 17.0 33.7
Economic Disadvantage Status 366,376 2449 92.5 53.4 26.2 11.7 8.6 20.4
Table 8.37: GRADE 6 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 665,928 2498 112.2 39.9 27.6 16.3 16.2 32.5
Female 325,006 2495 109.5 40.8 28.1 16.0 15.0 31.0
Male 340,243 2500 114.6 39.0 27.0 16.6 17.3 33.9
American Indian or Alaska Native 7,550 2446 103.0 58.1 26.7 9.8 5.4 15.3
Asian 61,162 2585 109.9 15.5 19.5 19.9 45.1 65.0
Black/African American 34,803 2441 104.2 61.0 24.2 9.6 5.2 14.8
Native Hawaiian or Pacific Islander 7,966 2455 105.1 55.7 26.3 11.3 6.7 18.0
Hispanic/Latino Ethnicity 299,564 2464 102.3 51.8 28.2 12.6 7.3 20.0
White 223,754 2521 105.0 29.7 29.5 20.6 20.1 40.8
Two or More Races 38,592 2521 112.2 31.4 27.1 18.9 22.5 41.4
Unidentified Race 30,404 2489 112.7 42.9 27.1 15.4 14.6 30.0
EL Status 97,164 2407 90.8 76.4 18.0 4.1 1.6 5.6
IDEA Indicator 81,530 2399 105.3 76.5 14.8 5.2 3.6 8.8
Section 504 Status 17,432 2504 101.6 36.3 31.3 17.7 14.6 32.3
Economic Disadvantage Status 368,744 2466 104.1 51.1 28.0 12.8 8.1 20.9
Table 8.38: GRADE 7 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 658,141 2512 118 40.6 26.1 17.5 15.8 33.2
Female 318,827 2509 115 41.8 26.8 17.0 14.4 31.4
Male 338,356 2516 120 39.6 25.5 17.9 17.1 35.0
American Indian or Alaska Native 7,802 2464 105 57.4 25.1 12.1 5.3 17.5
Asian 59,814 2609 117 15.0 17.8 21.4 45.8 67.2
Black/African American 34,234 2454 105 61.3 23.6 10.3 4.8 15.1
Native Hawaiian or Pacific Islander 7,313 2466 107 56.7 25.5 11.5 6.3 17.8
Hispanic/Latino Ethnicity 295,926 2474 105 53.7 26.8 13.0 6.5 19.5
White 223,311 2540 110 29.4 27.9 22.6 20.0 42.7
Two or More Races 37,055 2538 118 31.8 26.0 20.2 22.0 42.2
Unidentified Race 30,758 2506 116 42.4 26.1 17.3 14.2 31.5
EL Status 90,932 2413 90 79.3 15.7 3.8 1.3 5.1
IDEA Indicator 78,943 2411 102 78.0 14.1 5.0 3.0 7.9
Section 504 Status 19,625 2522 107 36.0 29.7 19.5 14.8 34.3
Economic Disadvantage Status 359,513 2478 108 52.3 26.7 13.5 7.6 21.1
Table 8.39: GRADE 8 MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 601,488 2520 126.1 46.8 23.3 14.0 15.9 29.9
Female 290,502 2520 122.6 46.7 24.1 14.1 15.1 29.2
Male 310,101 2519 129.4 47.0 22.6 13.8 16.6 30.5
American Indian or Alaska Native 7,296 2471 111.1 62.2 22.5 9.5 5.7 15.2
Asian 56,560 2627 127.8 18.0 17.2 17.8 46.9 64.8
Black/African American 32,327 2459 109.4 67.3 19.8 8.0 4.9 12.9
Native Hawaiian or Pacific Islander 7,125 2476 111.1 60.7 23.2 9.8 6.3 16.1
Hispanic/Latino Ethnicity 287,522 2481 110.8 59.4 23.3 10.4 6.9 17.3
White 190,021 2548 120.2 35.6 25.7 18.3 20.4 38.7
Two or More Races 30,086 2548 128.3 37.3 23.6 16.6 22.6 39.1
Unidentified Race 29,163 2516 122.7 47.1 24.1 14.3 14.6 28.9
EL Status 76,110 2415 91.1 84.6 11.7 2.5 1.2 3.7
IDEA Indicator 71,325 2413 101.2 83.2 11.0 3.4 2.4 5.8
Section 504 Status 18,538 2527 118.0 43.5 25.6 15.7 15.2 30.9
Economic Disadvantage Status 343,184 2485 114.5 58.3 22.9 10.7 8.1 18.8
Table 8.40: HIGH SCHOOL MATHEMATICS AVERAGE OVERALL SCALE SCORE AND PERCENTAGE IN EACH ACHIEVEMENT LEVEL BY SELECTED DEMOGRAPHIC GROUPS , 2021-22 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 690,450 2545 132.4 50.9 22.8 15.4 10.9 26.3
Female 335,266 2546 125.9 50.3 24.1 15.9 9.8 25.7
Male 353,736 2544 138.3 51.5 21.6 15.0 12.0 27.0
American Indian or Alaska Native 8,283 2489 113.1 69.1 19.4 8.4 3.1 11.5
Asian 64,615 2653 138.0 22.2 18.9 23.2 35.8 59.0
Black/African American 31,882 2483 113.9 71.2 18.1 7.9 2.8 10.7
Native Hawaiian or Pacific Islander 8,090 2498 111.9 66.1 21.8 8.9 3.3 12.2
Hispanic/Latino Ethnicity 303,752 2503 115.9 64.5 21.2 10.5 3.9 14.4
White 240,005 2571 127.1 40.6 26.3 19.9 13.2 33.1
Two or More Races 34,665 2571 134.7 42.6 23.9 18.3 15.1 33.5
Unidentified Race 25,805 2549 132.6 48.9 22.6 17.1 11.3 28.5
EL Status 67,268 2430 94.1 89.1 8.1 2.1 0.7 2.8
IDEA Indicator 71,264 2428 100.8 88.2 8.1 2.5 1.2 3.7
Section 504 Status 29,020 2555 125.4 47.1 25.9 16.3 10.8 27.1
Economic Disadvantage Status 350,728 2507 119.6 63.1 21.1 10.9 4.9 15.8

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, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2280 2322 2356 2386 2415 2442 2470 2502 2545
Female 2287 2332 2366 2396 2424 2450 2478 2509 2551
Male 2273 2314 2347 2377 2406 2434 2462 2495 2538
American Indian or Alaska Native 2257 2290 2318 2343 2368 2394 2421 2452 2494
Asian 2336 2389 2427 2456 2482 2507 2532 2560 2599
Black/African American 2254 2290 2319 2344 2370 2397 2425 2457 2500
Native Hawaiian or Pacific Islander 2263 2297 2325 2350 2374 2399 2426 2457 2497
Hispanic/Latino Ethnicity 2263 2299 2328 2355 2380 2405 2432 2463 2504
White 2304 2351 2386 2415 2441 2465 2491 2519 2557
Two or More Races 2302 2351 2388 2419 2445 2471 2498 2527 2567
Unidentified Race 2276 2317 2349 2377 2406 2433 2462 2494 2536
EL Status 2245 2278 2302 2324 2346 2367 2390 2418 2457
IDEA Indicator 2238 2269 2293 2315 2339 2364 2394 2431 2482
Section 504 Status 2291 2333 2364 2395 2421 2445 2471 2501 2542
Economic Disadvantage Status 2264 2300 2330 2356 2382 2408 2435 2466 2507
Table 8.42: GRADE 4 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2322 2368 2403 2433 2461 2488 2516 2548 2590
Female 2332 2378 2413 2442 2469 2495 2523 2554 2596
Male 2313 2358 2394 2425 2453 2481 2509 2541 2584
American Indian or Alaska Native 2294 2332 2363 2387 2413 2438 2463 2494 2535
Asian 2382 2439 2477 2505 2532 2555 2579 2607 2646
Black/African American 2291 2331 2360 2388 2415 2441 2469 2501 2544
Native Hawaiian or Pacific Islander 2302 2341 2371 2397 2422 2449 2476 2506 2546
Hispanic/Latino Ethnicity 2304 2344 2375 2402 2428 2453 2479 2509 2549
White 2349 2398 2433 2461 2487 2511 2536 2565 2602
Two or More Races 2345 2396 2434 2464 2490 2516 2542 2571 2612
Unidentified Race 2318 2363 2396 2427 2455 2482 2510 2542 2584
EL Status 2280 2316 2342 2365 2386 2408 2432 2459 2494
IDEA Indicator 2264 2300 2326 2350 2374 2400 2430 2466 2518
Section 504 Status 2337 2382 2414 2442 2467 2493 2519 2546 2587
Economic Disadvantage Status 2304 2345 2376 2404 2430 2455 2482 2512 2552
Table 8.43: GRADE 5 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2354 2402 2437 2468 2498 2527 2557 2590 2632
Female 2367 2414 2450 2480 2508 2536 2566 2598 2640
Male 2342 2390 2426 2457 2487 2517 2548 2581 2624
American Indian or Alaska Native 2324 2364 2393 2420 2448 2475 2503 2536 2582
Asian 2418 2476 2515 2547 2574 2599 2624 2651 2688
Black/African American 2321 2361 2393 2422 2449 2477 2507 2542 2586
Native Hawaiian or Pacific Islander 2331 2373 2403 2431 2458 2487 2514 2549 2592
Hispanic/Latino Ethnicity 2336 2379 2410 2438 2464 2490 2518 2551 2594
White 2383 2433 2469 2498 2526 2552 2578 2607 2645
Two or More Races 2376 2429 2466 2499 2527 2555 2582 2613 2652
Unidentified Race 2352 2398 2434 2465 2494 2522 2551 2585 2626
EL Status 2304 2340 2366 2388 2409 2430 2452 2478 2516
IDEA Indicator 2290 2325 2351 2375 2398 2423 2453 2490 2546
Section 504 Status 2369 2414 2448 2476 2503 2529 2557 2586 2629
Economic Disadvantage Status 2336 2379 2411 2439 2466 2492 2521 2553 2596
Table 8.44: GRADE 6 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2378 2424 2460 2490 2518 2546 2575 2607 2649
Female 2392 2439 2474 2503 2531 2558 2586 2617 2658
Male 2367 2412 2446 2477 2505 2534 2564 2596 2639
American Indian or Alaska Native 2348 2386 2417 2443 2468 2494 2522 2555 2595
Asian 2442 2498 2537 2566 2592 2616 2640 2667 2704
Black/African American 2346 2385 2415 2443 2470 2497 2526 2559 2604
Native Hawaiian or Pacific Islander 2354 2391 2422 2450 2475 2501 2531 2565 2608
Hispanic/Latino Ethnicity 2361 2403 2434 2462 2488 2514 2541 2572 2614
White 2404 2452 2486 2515 2542 2568 2593 2622 2660
Two or More Races 2400 2450 2486 2518 2546 2572 2599 2628 2668
Unidentified Race 2374 2419 2455 2485 2514 2543 2572 2604 2646
EL Status 2323 2356 2381 2402 2422 2442 2464 2489 2524
IDEA Indicator 2313 2346 2369 2391 2413 2435 2462 2495 2546
Section 504 Status 2394 2436 2467 2494 2518 2544 2569 2599 2639
Economic Disadvantage Status 2361 2403 2434 2462 2488 2514 2542 2574 2615
Table 8.45: GRADE 7 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2394 2450 2490 2523 2552 2581 2609 2641 2683
Female 2413 2468 2506 2537 2566 2592 2620 2650 2691
Male 2378 2433 2474 2508 2539 2568 2598 2631 2674
American Indian or Alaska Native 2361 2409 2445 2476 2503 2530 2558 2589 2630
Asian 2475 2536 2575 2604 2628 2652 2676 2702 2738
Black/African American 2355 2403 2440 2472 2501 2530 2560 2592 2635
Native Hawaiian or Pacific Islander 2369 2415 2451 2482 2511 2537 2564 2596 2639
Hispanic/Latino Ethnicity 2372 2423 2460 2491 2519 2546 2573 2604 2646
White 2426 2483 2521 2552 2578 2603 2628 2657 2695
Two or More Races 2418 2479 2519 2551 2579 2605 2632 2663 2702
Unidentified Race 2395 2449 2487 2519 2549 2577 2606 2638 2680
EL Status 2326 2366 2395 2420 2444 2467 2490 2517 2552
IDEA Indicator 2316 2356 2385 2411 2437 2463 2492 2525 2575
Section 504 Status 2413 2465 2501 2529 2555 2580 2606 2636 2676
Economic Disadvantage Status 2373 2423 2461 2492 2520 2548 2575 2607 2648
Table 8.46: GRADE 8 ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2404 2458 2496 2529 2559 2589 2618 2652 2695
Female 2426 2479 2515 2546 2575 2603 2631 2663 2705
Male 2388 2440 2479 2512 2543 2574 2605 2640 2684
American Indian or Alaska Native 2374 2423 2455 2485 2514 2542 2570 2601 2646
Asian 2486 2547 2586 2616 2641 2665 2689 2716 2752
Black/African American 2366 2414 2449 2480 2509 2537 2568 2602 2648
Native Hawaiian or Pacific Islander 2386 2433 2465 2494 2520 2547 2578 2610 2652
Hispanic/Latino Ethnicity 2385 2435 2470 2500 2527 2554 2583 2616 2659
White 2433 2488 2526 2558 2585 2612 2639 2668 2707
Two or More Races 2428 2484 2523 2559 2588 2617 2645 2675 2714
Unidentified Race 2405 2459 2497 2529 2559 2588 2617 2649 2690
EL Status 2334 2374 2403 2427 2450 2471 2493 2518 2552
IDEA Indicator 2328 2367 2396 2421 2444 2469 2495 2528 2576
Section 504 Status 2420 2470 2505 2535 2563 2589 2617 2649 2690
Economic Disadvantage Status 2384 2434 2470 2500 2528 2556 2586 2619 2663
Table 8.47: HIGH SCHOOL ELA/LITERACY SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2419 2483 2531 2570 2604 2636 2668 2703 2748
Female 2446 2508 2553 2589 2620 2650 2680 2712 2755
Male 2399 2460 2509 2550 2587 2622 2656 2693 2739
American Indian or Alaska Native 2390 2441 2482 2517 2549 2580 2615 2649 2695
Asian 2498 2570 2616 2650 2679 2705 2732 2762 2795
Black/African American 2374 2425 2468 2504 2541 2576 2611 2650 2699
Native Hawaiian or Pacific Islander 2399 2447 2488 2522 2553 2584 2618 2653 2699
Hispanic/Latino Ethnicity 2396 2451 2495 2533 2566 2598 2630 2665 2710
White 2453 2521 2567 2602 2633 2661 2689 2720 2761
Two or More Races 2449 2518 2565 2603 2634 2665 2694 2726 2769
Unidentified Race 2424 2487 2536 2574 2607 2638 2668 2702 2745
EL Status 2337 2378 2407 2432 2456 2481 2507 2538 2579
IDEA Indicator 2342 2384 2414 2441 2468 2496 2528 2566 2621
Section 504 Status 2447 2509 2551 2585 2617 2647 2677 2709 2751
Economic Disadvantage Status 2396 2453 2497 2534 2568 2601 2633 2669 2714
Table 8.48: GRADE 3 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2296 2340 2371 2397 2422 2445 2470 2499 2538
Female 2296 2337 2367 2393 2417 2440 2464 2493 2531
Male 2296 2342 2375 2402 2427 2450 2475 2504 2543
American Indian or Alaska Native 2260 2302 2331 2356 2379 2400 2424 2450 2490
Asian 2365 2413 2444 2469 2492 2515 2537 2565 2602
Black/African American 2257 2297 2326 2352 2375 2398 2422 2450 2488
Native Hawaiian or Pacific Islander 2270 2308 2336 2361 2382 2404 2428 2456 2494
Hispanic/Latino Ethnicity 2279 2318 2345 2369 2392 2413 2436 2462 2498
White 2322 2367 2398 2422 2444 2465 2487 2512 2547
Two or More Races 2316 2363 2396 2422 2445 2468 2492 2520 2557
Unidentified Race 2285 2329 2362 2388 2413 2436 2460 2488 2527
EL Status 2262 2299 2324 2346 2366 2387 2409 2435 2471
IDEA Indicator 2232 2273 2302 2328 2354 2380 2410 2444 2489
Section 504 Status 2308 2349 2378 2402 2424 2446 2471 2498 2535
Economic Disadvantage Status 2278 2318 2347 2371 2394 2416 2439 2465 2502
Table 8.49: GRADE 4 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2336 2375 2405 2432 2458 2483 2510 2539 2579
Female 2337 2374 2402 2428 2452 2477 2502 2531 2570
Male 2335 2377 2409 2437 2464 2490 2517 2546 2586
American Indian or Alaska Native 2307 2343 2369 2392 2413 2435 2460 2486 2525
Asian 2401 2451 2486 2514 2537 2559 2582 2608 2645
Black/African American 2299 2336 2362 2385 2407 2430 2455 2485 2524
Native Hawaiian or Pacific Islander 2316 2349 2375 2399 2422 2446 2470 2498 2534
Hispanic/Latino Ethnicity 2320 2355 2381 2403 2425 2447 2471 2499 2535
White 2362 2404 2435 2461 2484 2507 2529 2555 2589
Two or More Races 2354 2398 2431 2460 2485 2509 2534 2561 2599
Unidentified Race 2330 2369 2399 2425 2451 2476 2502 2531 2569
EL Status 2301 2334 2357 2377 2395 2415 2437 2463 2500
IDEA Indicator 2275 2312 2337 2359 2382 2406 2435 2471 2522
Section 504 Status 2353 2389 2418 2443 2467 2490 2515 2541 2579
Economic Disadvantage Status 2320 2356 2382 2405 2428 2451 2475 2503 2541
Table 8.50: GRADE 5 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2349 2392 2422 2450 2477 2506 2535 2569 2612
Female 2351 2392 2421 2447 2473 2500 2528 2561 2605
Male 2347 2391 2424 2453 2483 2512 2542 2575 2618
American Indian or Alaska Native 2317 2357 2384 2408 2431 2456 2482 2513 2559
Asian 2419 2472 2511 2542 2569 2593 2618 2644 2682
Black/African American 2310 2350 2378 2402 2424 2447 2474 2506 2551
Native Hawaiian or Pacific Islander 2332 2369 2397 2419 2443 2468 2495 2525 2567
Hispanic/Latino Ethnicity 2333 2371 2398 2422 2444 2468 2494 2525 2566
White 2376 2420 2452 2481 2507 2532 2558 2586 2623
Two or More Races 2366 2412 2447 2477 2506 2534 2561 2592 2631
Unidentified Race 2346 2388 2418 2446 2473 2501 2530 2562 2604
EL Status 2306 2342 2367 2387 2406 2425 2446 2473 2511
IDEA Indicator 2283 2322 2349 2371 2393 2416 2443 2480 2536
Section 504 Status 2364 2405 2433 2459 2484 2509 2537 2568 2608
Economic Disadvantage Status 2332 2372 2399 2423 2446 2471 2498 2529 2571
Table 8.51: GRADE 6 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2348 2401 2440 2473 2502 2529 2559 2594 2641
Female 2351 2401 2438 2470 2498 2525 2555 2589 2636
Male 2346 2401 2441 2476 2505 2533 2564 2599 2646
American Indian or Alaska Native 2309 2356 2391 2420 2449 2477 2503 2534 2577
Asian 2436 2495 2535 2567 2596 2624 2652 2685 2730
Black/African American 2302 2349 2384 2413 2442 2469 2498 2531 2576
Native Hawaiian or Pacific Islander 2315 2365 2398 2427 2457 2485 2513 2544 2588
Hispanic/Latino Ethnicity 2328 2376 2410 2440 2468 2494 2520 2551 2594
White 2380 2435 2473 2503 2528 2553 2580 2610 2651
Two or More Races 2370 2427 2467 2499 2528 2555 2585 2618 2663
Unidentified Race 2338 2391 2429 2464 2493 2522 2552 2587 2633
EL Status 2285 2329 2359 2384 2406 2430 2455 2484 2523
IDEA Indicator 2259 2307 2338 2364 2390 2417 2448 2488 2542
Section 504 Status 2372 2420 2453 2483 2506 2531 2558 2590 2633
Economic Disadvantage Status 2328 2376 2411 2442 2469 2496 2523 2555 2598
Table 8.52: GRADE 7 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2357 2408 2448 2481 2512 2544 2577 2615 2667
Female 2358 2408 2446 2478 2508 2538 2571 2608 2660
Male 2356 2409 2451 2485 2517 2550 2583 2621 2673
American Indian or Alaska Native 2326 2372 2405 2436 2464 2490 2520 2556 2599
Asian 2449 2511 2556 2591 2622 2652 2683 2716 2762
Black/African American 2318 2362 2394 2423 2452 2480 2510 2545 2593
Native Hawaiian or Pacific Islander 2327 2372 2407 2437 2466 2493 2522 2557 2605
Hispanic/Latino Ethnicity 2337 2381 2416 2447 2474 2501 2530 2565 2610
White 2390 2447 2485 2517 2546 2574 2602 2635 2678
Two or More Races 2378 2436 2477 2511 2542 2573 2605 2642 2690
Unidentified Race 2352 2403 2445 2477 2507 2538 2571 2608 2657
EL Status 2296 2337 2364 2387 2409 2432 2458 2486 2529
IDEA Indicator 2283 2325 2352 2376 2399 2425 2455 2492 2549
Section 504 Status 2382 2431 2466 2494 2522 2551 2580 2613 2660
Economic Disadvantage Status 2337 2383 2418 2449 2477 2505 2535 2571 2618
Table 8.53: GRADE 8 MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2356 2410 2449 2482 2514 2547 2585 2630 2692
Female 2362 2414 2451 2483 2514 2546 2582 2627 2686
Male 2351 2406 2446 2481 2514 2549 2587 2634 2697
American Indian or Alaska Native 2322 2375 2409 2440 2468 2497 2526 2563 2618
Asian 2449 2515 2563 2604 2642 2677 2711 2750 2802
Black/African American 2316 2364 2398 2427 2454 2482 2513 2549 2606
Native Hawaiian or Pacific Islander 2330 2380 2415 2445 2474 2502 2533 2567 2620
Hispanic/Latino Ethnicity 2337 2386 2421 2450 2477 2505 2536 2573 2628
White 2390 2446 2484 2518 2549 2581 2615 2654 2705
Two or More Races 2378 2436 2477 2513 2547 2582 2621 2664 2720
Unidentified Race 2357 2409 2447 2481 2513 2545 2581 2625 2682
EL Status 2291 2335 2364 2388 2412 2435 2459 2487 2529
IDEA Indicator 2279 2324 2354 2379 2403 2428 2456 2490 2543
Section 504 Status 2374 2427 2463 2493 2524 2554 2588 2629 2682
Economic Disadvantage Status 2336 2386 2422 2452 2480 2509 2541 2580 2637
Table 8.54: HIGH SCHOOL MATHEMATICS SCALE SCORE BY SELECTED DEMOGRAPHIC GROUPS, 2021-22 PERCENTILES
Group P(%)10 P(%)20 P(%)30 P(%)40 P(%)50 P(%)60 P(%)70 P(%)80 P(%)90
Total 2375 2431 2470 2506 2540 2574 2612 2659 2725
Female 2387 2439 2476 2510 2542 2574 2610 2654 2716
Male 2365 2423 2464 2501 2537 2574 2614 2664 2734
American Indian or Alaska Native 2342 2393 2428 2456 2486 2513 2546 2582 2637
Asian 2463 2531 2581 2623 2663 2702 2740 2783 2838
Black/African American 2333 2385 2420 2449 2477 2507 2539 2577 2633
Native Hawaiian or Pacific Islander 2354 2401 2437 2466 2495 2525 2554 2590 2641
Hispanic/Latino Ethnicity 2352 2404 2440 2470 2499 2528 2561 2600 2656
White 2405 2464 2505 2540 2572 2604 2639 2681 2738
Two or More Races 2397 2454 2496 2533 2568 2603 2642 2689 2754
Unidentified Race 2376 2434 2475 2511 2547 2582 2621 2668 2727
EL Status 2297 2347 2379 2405 2428 2451 2474 2503 2548
IDEA Indicator 2286 2337 2371 2398 2422 2446 2471 2503 2555
Section 504 Status 2395 2450 2488 2521 2552 2582 2616 2660 2724
Economic Disadvantage Status 2353 2406 2442 2472 2502 2532 2566 2607 2665

References

Smarter Balanced. (2023b). Smarter Balanced Scoring Specifications for Summative and Interim Assessments. Retrieved from https://technicalreports.smarterbalanced.org/scoring_specs/_book/scoringspecs.html.