New Meridian SGP Calculation 2021

New Meridian · September 10, 2021

New Meridian SGP Calculation 2021 — New Meridian, September 10, 2021.
Published

September 10, 2021

Event
Invited talk
Slides
54
Format
Converted from PowerPoint

This deck is an image-based copy of the original slides. Builds and animations are flattened; the slide text is reproduced below for search and screen readers.

Slide text
  1. New Meridian SGP Calculation 2021 Growth & Pandemic Academic Impact Damian Betebenner & Adam Van Iwaarden Center for Assessment New Meridian TAC Meeting September 10th, 2021
  2. New Meridian Testing: Catching Up • Nice to see you all again. • What a difference two years make. • USED granted testing waivers in 2020 due to the onset of the pandemic in March 2020. • IL tested approximately 80,000 students in 2020 prior to the onset of the pandemic. • Besides those students, all other testing was cancelled in 2020. • No growth analyses were conducted due to the cancellation of testing in 2020 New Meridian SGP Calculations 2021
  3. New Meridian Testing in 2021 • As you are all aware, the pandemic made for a complicated year of testing. • Accountability waivers were granted for states but testing waivers were not universally granted. • The New Meridian consortium was broadly impacted by testing changes: • DC was given a waiver to not test in 2021. • NJ will test using an abbreviated form (Start Strong) in Fall 2021 • IL tested in spring 2021 but offered Fall 2021 testing • BIE and DoDEA testing in spring 2021. • States that testing did not see test participation at levels normally observed. New Meridian SGP Calculations 2021
  4. New Meridian Testing SGP Operational Considerations in • New Meridian growth analyses are skip-year/gap year growth from 2019 to 2021. • In prior years, only cohort referenced (SIMEX and non-measurement error corrected) SGPs were calculated. • In 2021, four types of SGP analyses were conducted for New Meridian data: • Cohort referenced analyses: These analyses create growth norms from the 2019 to 2021 students. These growth norms yield cohort means/median SGPs of 50 and obscure COVID-19 academic impact. Both SIMEX (measurement error corrected) and non-SIMEX SGPs are calculated. • Baseline referenced analyses: Historical growth norms were created using 2019 and prior data. These growth growth analyses don’t have mean/median SGPs of 50 and can be used to investigate overall COVID-19 academic impact. Both SIMEX (measurement error corrected) and non-SIMEX SGPs are calculated. • Projections (lagged and straight) were calculated for 2021 data using baseline growth norms in case they were needed. New Meridian SGP Calculations 2021
  5. SGP Summary of Cohort versus Baseline Referenced • Cohort referenced SGPs • Growth norms created from the current cohort of students. • Typical way that SGPs are calculated. • Both consortium and state referenced norms are created. • Mean/median will by 50 for all grade x content area analyses. • Cannot investigate overall impact of the pandemic on students. • Can investigate differential impact of the pandemic on students. • Does not require scale stability across years. • Baseline referenced SGPs. • Growth norms created from historical (i.e., pre-COVID) cohorts of students. • Mean/median 50 for historical cohort, not necessarily 50 for current cohort. • Both consortium and state referenced baseline norms are created (using 2019 membership) • Extent of deviation from (i.e. below) 50 is indicative of less learning/pandemic related academic impact. • Mean SGP deviation of 5 corresponds to an effect size of 0.18. • Can investigate BOTH overall impact and differential impact • Requires scale stability across years. New Meridian SGP Calculations 2021
  6. SGP Calculations • SGP calculations were performed using the SGP package and R software environment based upon data supplied by Pearson. • To facilitate the calculation of baseline SGPs across multiple states, we created an additional R package, SGPmatrices, that contains . • https://centerforassessment.github.io/SGPmatrices/ • Source code associated with calculations are available on GitHub (private account): • New Meridian: https://github.com/CenterForAssessment/New_Meridian • Analyses were conducted first by state/organization based upon availability of data provided by Pearson and then at the consortium level once all data was available. New Meridian SGP Calculations 2021
  7. Data for Spring 2021: Content Area by State/Organization Content Area BI DD IL Algebra I 112 3,380 0 Algebra II 233 2,536 0 ELA 5,251 30,760 567,222 Geometry 59 2,893 0 Integrated Math 1 17 0 0 Integrate Math 2 1 0 0 Integrated Math 3 10 0 0 Mathematics 4,625 22,581 560,487 New Meridian SGP Calculations 2021
  8. SGP Assumptions • SGP analyses presume valid scale scores • Students forming the growth norm group are presumed to have taken the same (or equivalent) test at the same time. Scores have to mean the same thing. • SGPs, however, are often used as a post-hoc check of scale score validity/comparability via Reductio ad absurdum • In 2021, check form comparability and mode-of-administration comparability. • New Meridian has extensive experience (e.g., PARCC paper/pencil versus online) investigating and accommodating mode-effects. • If scores are not comparable then we either attempt to make them comparable or run separate analyses. New Meridian SGP Calculations 2021
  9. SGP Results • The following slides show SGP results for 2021. • We report only baseline referenced SGPs in these slides • Cohort referenced results fail to show overall impact. • Differential impact shown in baseline SGPs will mirror that found in cohort referenced SGPs. • Due to the highly skewed nature of the SGP results, we recommend median SGP over mean SGP in this instance. • We also provide 2019 results to understand pandemic related academic impact. • SGP deviation of 5 between groups corresponds to an effect size of New Meridian SGP Calculations 2021
  10. SGP Analyses and Academic Impact • Understanding pandemic related impact necessarily requires looking back to pre- pandemic results. • The impulse of stakeholders to want to compare 2021 results with 2019 results is the correct impulse at both the individual, school, district, and state level. • Wanting to look at 2019 to 2021 change is an attempt to investigate impact. • The challenge is making 2019 to 2021 comparisons apples-to-apples comparisons. • Supporting these comparisons requires having a complete understanding is who constitutes the missing data. • We are awaiting complete testing roster data to utilize for multiple imputation analyses. • More on that after some initial comparisons. New Meridian SGP Calculations 2021
  11. SGP Analyses and Academic Impact • 2019 to 2021 Status and Growth comparisons get at the same thing: deceleration in student learning due to the COVID-19 pandemic “headwind”. • One of the best ”unread” papers on accountability system design and indicators is by Dale Carlson where he discusses the relationship between changes in status (i.e., improvement) and changes in growth (acceleration). https://www.nciea.org/sites/ default/files/publications/Dale020402.pdf • We present (briefly) status results in addition to growth results. New Meridian SGP Calculations 2021
  12. Consortium Attainment: 2019 to 2021 Percent Proficient (BIE/DoDEA/IL) ELA Mathematics Grade Percent Percent Difference 2019 Percent Percent Difference 2019 Proficient 2019 Proficient to 2021 Proficient 2019 Proficient 2021 to 2021 New Meridian SGP Calculations 2021
  13. IAR Attainment: 2019 to 2021 Percent Proficient ELA Mathematics Grade Percent Percent Difference 2019 Percent Percent Difference 2019 Proficient Proficient to 2021 Proficient 2019 Proficient 2021 to 2021 New Meridian SGP Calculations 2021
  14. Points of Clarification for Status Results • Decrease in attainment (as a decrease in percent proficient) between 2019 and 2021 is the most often reported statistic related to state testing in 2021. • This analysis & statistic (percent proficient) are problematic for several reasons: • Using 2019 as a counterfactual for where students would have been had the pandemic not occurred is problematic for several reasons including: • Changes in student cohort composition is not accounted for. • Improvement between 2019 and 2021 that would have occurred is not accounted for. • Missing data in 2021 not accounted for. New Meridian SGP Calculations 2021
  15. Points of Clarification for Status Results • Effect sizes associated with decreases range from approximately 0.15 to 0.4. • Participation rates (derived from decreases in observed test scores between 2019 and 2021) vary by grade and state/organization but suggest participation between 60% and 80% (mostly toward the lower end) • In general, the achievement decreases observed are large and are consistent with large academic impact. • Other states, with and without missing data, show similar decreases. • In general, current results based upon incomplete data likely represent a best- case scenario compared to what would appear given fuller participation. New Meridian SGP Calculations 2021
  16. Consortium Growth: 2019 to 2021 Median SGPs (BIE/ DoDEA/IL) by Grade ELA Mathematics Grade Median SGP Median SGP Difference 2019 Median SGP Median SGP Difference 2019 2019 2021 to 2021 2019 2021 to 2021 3 NA NA NA NA NA NA 4 NA NA NA NA NA NA New Meridian SGP Calculations 2021
  17. IAR Growth: 2019 to 2021 Median SGPs (IL) by Grade ELA Mathematics Grade Median SGP Median SGP Difference 2019 Median SGP Median SGP Difference 2019 2019 2021 to 2021 2019 2021 to 2021 3 NA NA NA NA NA NA 4 NA NA NA NA NA NA New Meridian SGP Calculations 2021
  18. Discussion • Consortium level SGPs are used for consortium and IL normed SGPs for IL. • Median baseline SGPs in ELA and Math were in the mid to low 30s. • Deviation from normal growth (i.e., 50) represents the extent to which academic growth slowed down from 2019 to 2021, that is, academic impact. • Comparably large academic impact in ELA than mathematics. • Comparably large academic impact across grades. • Given what we know about growth, academic impact will likely requiring multiple years and additional educational supports/interventions to recover. New Meridian SGP Calculations 2021
  19. Consortium Growth: 2019 to 2021 Median SGPs (BIE/ DoDEA/IL) by Ethnicity ELA Mathematics Ethnicity Median SGP Median SGP Difference 2019 Median SGP Median SGP Difference 2019 2019 2021 to 2021 2019 2021 to 2021 American Indian/ 42.0 (4,952) 29.0 (753) 13.0 46.0 (4,825) 26.0 (724) 20.0 Alaskan Native Asian 55.0 (26,193) 36.0 (17,359) 19.0 62.0 (26,547) 36.0 (17,359) 26.0 Black/African 37.0 (86,428) 25.0 (45,867) 12.0 40.0 (86,146) 25.0 (45,867) 15.0 American Hispanic/Latino 44.0 (150,265) 29.0 (79,431) 15.0 48.0 (150,280) 29.0 (79,431) 19.0 Native Hawaiian/ 47.0 (517) 33.0 (382) 14.0 51.0 (522) 33.0 (382) 18.0 PI White 47.0 (257,540) 30.0 (200,746) 17.0 51.0 (257,350) 30.0 (200,746) 21.0 Two or More 44.0 (19,082) 29.0 (13,852) 15.0 47.0 (19,049) 29.0 (13,852) 18.0 Races New Meridian SGP Calculations 2021
  20. Discussion of Ethnicity Results • Broken out by ethnicity, 2021 baseline SGP results show similar rank ordering (i.e., growth gaps) as seen in normal years. • Student academic growth is lower in mathematics than in ELA for all ethnic subgroups. • Growth decreases by ethnicity are not uniform. For example, decreases by Asian students in math are much larger than other ethnicities. New Meridian SGP Calculations 2021
  21. Consortium Growth: 2019 to 2021 Median SGPs (BIE/ DoDEA/IL) by Disadvantaged Status ELA Mathematics Free/Reduced Median SGP Median SGP Difference 2019 Median SGP Median SGP Difference 2019 Lunch Status 2019 2021 to 2021 2019 2021 to 2021 No 47.0 (266,701) 30.0 (199,651) 17.0 52.0 (266,239) 35.0 (197,637) 17.0 Yes 42.0 (277,350) 27.0 (154,628) 15.0 45.0 (277,560) 27.0 (151,715) 18.0 New Meridian SGP Calculations 2021
  22. Discussion of disadvantaged status • Baseline SGP results show similar growth gaps in 2021 (students indicated as receiving free/reduced lunch have lower SGPs than students indicated as not receiving free/reduced lunch. • Academic impacts are fairly uniform across the subgroups. New Meridian SGP Calculations 2021
  23. Consortium Growth: 2019 to 2021 Median SGPs (BIE/ DoDEA/IL) by Gender ELA Mathematics Gender Median SGP Median SGP Difference 2019 Median SGP Median SGP Difference 2019 2019 2021 to 2021 2019 2021 to 2021 Female 49.0 (267,504) 31.0 (174,500) 18.0 50.0 (267,400) 31.0 (173,988) 19.0 Male 41.0 (277.479) 27.0 (185,174) 14.0 48.0 (277,325) 32.0 (184,545) 16.0 New Meridian SGP Calculations 2021
  24. Discussion of Gender Results • Growth gender gaps historically exist (favoring females) in both ELA and mathematics. • Growth gender gaps are historically larger in ELA than mathematics. • Gaps are comparably large for males and females. New Meridian SGP Calculations 2021
  25. Growth by Prior Achievement Results • In examining results associated with SGP fit, we discovered that growth and associated impact varied considerably based upon the prior achievement of the student. • The following slides illustrate these differences. • The appendix contains additional figures looking at growth by prior score decile by ethnity. New Meridian SGP Calculations 2021
  26. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 5 ELA New Meridian SGP Calculations 2021
  27. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 6 ELA New Meridian SGP Calculations 2021
  28. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 7 ELA New Meridian SGP Calculations 2021
  29. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 8 ELA New Meridian SGP Calculations 2021
  30. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 5 Mathematics New Meridian SGP Calculations 2021
  31. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 6 Mathematics New Meridian SGP Calculations 2021
  32. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 7 Mathematics New Meridian SGP Calculations 2021
  33. New Meridian Median/Mean Skip-Year SGPs by Prior Achievement: Grade 8 Mathematics New Meridian SGP Calculations 2021
  34. Participation Rates and Interpretation • An issue impacting the interpretation of growth (and status) results in 2021 is participation in the state assessment. • Low participation doesn’t impact calculation of cohort referenced growth norms nor use of baseline referenced growth norms. • Low participation does impact comparisons of group level results with historical (e.g., 2019) results based upon higher participation rates. • For example, how should one compare growth and status results for school in 2019 and 2021 with very different rates of participation. New Meridian SGP Calculations 2021
  35. Multiple Imputation • Given the rich historical data available for students missing in 2021, and the observed performance of comparable students from 2019 to 2021, it is possible to simulate what we think their performance might have been. • Combining multiple simulations can inform us about potential bias in what we observed at state/district/school levels in 2021, as well as inform us about levels of uncertainty around them. • Multiple imputation (MI) of missing data is widely adopted and well-developed statistical analysis technique used in many fields to deal with missing data problems. New Meridian SGP Calculations 2021
  36. Multiple Imputation • MI uses information from the observed data to generate parameter estimates in three steps: • Imputation: A prediction model generates a set of plausible values for the missing observations, resulting in M imputed data sets. • Analysis: The analysis (e.g., baseline student growth percentiles) is conducted on each of the M data sets. • Pooling: Parameter and (more importantly) uncertainty estimates are constructed by pooling across the M analyses. New Meridian SGP Calculations 2021
  37. Multiple Imputation • In the context of COVID impact analyses, we use the multiple (plausible) parameter estimates to inform us about the uncertainty around what was observed. That is, we do not use MI to produce “corrected” parameter estimates, but rather to help determine whether we trust the statistics calculated from the observed (with missing) data. • Statistics of particular interest: • Mean/median scale scores • Mean/median baseline SGPs • Effect size estimates New Meridian SGP Calculations 2021
  38. Multiple Imputation • Before performing a MI analysis with New Meridian data, missing data patterns were investigated. • Patterns suggest some relationship to factors such as prior achievement and economic status. • These relationships suggest that missingness in New Meridian is non-ignorable, but does not preclude the use of MI. • Data can be considered “Missing-at-random” – relationships exist between missingness and the observed data (and so can not be considered “missing completely-at-random”) but the relationships are not systematic (e.g. all students below proficiency in 2019 were missing in 2021). New Meridian SGP Calculations 2021
  39. District & School Level Results • Due to larger fluctuations in participation rates at the district and school level, growth comparisons between 2019 and 2021 must be approached more cautiously. • In general, in other states we have had good success via multiple imputation that comparisons of status and growth results from 2019 to 2021. • Multiple imputation indicates both when inference is defensible based upon observed data and when such an inference appears problematic. • We have found that whether a school’s results support cross-year comparison depends more on the size of the school than on the participation rate/ enrollment change. • With coming enrollment data to determine missingness, we will update results to include district and school level impact. New Meridian SGP Calculations 2021
  40. SGP Analysis Plans post 2021 (2022 and beyond) • Spring 2021 represented an ideal time to get a snapshot of student attainment as we are presumably/hopefully at or near the point of maximal impact on student attainment. • That is, recovery has not really begun for most students in earnest. • It’s impossible to talk about recovery sensibly without understanding how big the impact is. • Analytics in 2022 will be keenly interested on whether or not recovery is occurring: Who, what, how much. • Monitoring recovery will be at least as critical as monitoring the impact of the pandemic on student achievement. • Beware the K-shaped recovery! New Meridian SGP Calculations 2021
  41. Communication of Results in 2021 • Technical challenges to the calculation of growth in 2021 are likely minor compared to communication challenges. • State reporting is, in general, highly aligned with accountability. • Even though analyses outlined herein deal with status/growth, they don’t necessarily align with accountability narratives. • It is critical for leadership (at the highest level) to map out a communication plan and then build analytics and reporting to support that plan. • Without a well considered, disciplined and coordinated communication plan, accountability narratives are likely to take over. New Meridian SGP Calculations 2021
  42. Summary of Findings • SGP analyses were successfully conducted for New Meridian consortium members testing in spring 2021 • Results of the analyses suggest large academic impacts on students due to the pandemic. • Results are large in both math and in ELA. Results were large in both elementary and middle school grades. • Results show variation across academic subgroups (e.g., high versus low achievers in some content areas). • Recovery from impacts this large will likely take multiple years and require additional supports beyond that provided by normal schooling. New Meridian SGP Calculations 2021
  43. SGP Goodness of Fit Plots: New Meridian ELA Student Growth Percentile Goodness−of−Fit Descriptives 2020−2021.2 ELA SGP, Grade 6 (N = 89,821) SGP Deciles by Prior Achievement Level (ELA) Level 5 (8.7%) Prior Achievement Level Level 4 (31.8%) Level 3 (26%) Level 2 (18.5%) Level 1 (15%) Median Student Growth Percentile Ceiling / Floor Effects Test Student Growth Percentile Range Current Observed Score 5 9 to to to to to to to to to to to to 10 20 30 40 50 60 70 80 90 95 Lowest OSS: [ −15 ] 100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 N = 66 Extremes (Range) Highest OSS: [3.349,3.536) 0.0 0.0 0.0 4.3 0.0 0.0 0.0 4.3 8.7 21.7 26.1 34.8 N = 23 Student Growth Percentile Range QQ−Plot: Student Growth Percentiles 19 29 39 49 59 69 79 89 99 Theoretical SGP Distr ibution 9 to to to to to to to to to to 10 20 30 40 50 60 70 80 90 0 10 20 30 40 50 60 70 80 90 100 1st/[−15,−1.652) 13.79 11.45 11.29 10.00 10.27 9.80 8.78 8.72 8.08 7.82 (9.9%) 100 2nd/[−1.652,−1.034) 16.28 12.12 11.76 10.89 9.86 9.23 8.67 8.14 7.20 5.85 (9.7%) Prior Scale Score Decile/Range * 3rd/[−1.034,−0.6413) 16.88 13.35 11.39 10.46 9.91 9.37 8.39 8.20 6.50 5.56 (9.8%) Empirical SGP Distribution 4th/[−0.6413,−0.3103) 17.25 14.33 12.66 11.12 9.77 9.35 7.74 6.82 5.95 5.01 (9.4%) 5th/[−0.3103,0.0302) 18.21 15.64 13.40 11.05 9.96 8.64 7.36 6.35 5.31 4.07 (10.8%) 6th/[0.0302,0.2857) 20.97 15.53 12.35 11.02 9.76 8.34 7.08 6.06 4.85 4.04 (9.8%) 7th/[0.2857,0.588) 21.73 15.66 12.39 10.54 9.23 8.30 7.19 6.22 4.89 3.86 (9.2%) 8th/[0.588,0.9404) 24.40 15.62 12.49 10.33 9.13 7.48 6.75 6.14 4.75 2.90 (10.8%) 9th/[0.9404,1.461) 27.99 16.81 12.78 10.02 8.21 7.42 6.16 4.49 3.75 2.37 (10.5%) 10th/[1.461,15] 33.14 17.65 12.04 9.67 7.71 6.71 4.37 4.34 2.76 1.60 (10%) *Prior score deciles can be une ven depending upon the pr ior score distr ibution New Meridian SGP Calculations 2021
  44. SGP Goodness of Fit Plots: New Meridian ELA New Meridian SGP Calculations 2021
  45. SGP Goodness of Fit Plots: New Meridian Mathematics Student Growth Percentile Goodness−of−Fit Descriptives 2020−2021.2 Mathematics SGP, Grade 6 (N = 91,007) SGP Deciles by Prior Achievement Level (Mathematics) Level 5 (3.6%) Prior Achievement Level Level 4 (34.3%) Level 3 (29%) Level 2 (19.5%) Level 1 (13.6%) Median Student Growth Percentile Ceiling / Floor Effects Test Student Growth Percentile Range Current Observed Score 5 9 to to to to to to to to to to to to 10 20 30 40 50 60 70 80 90 95 Lowest OSS: [ −15 ] 100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 N = 202 Extremes (Range) Highest OSS: [3.384,4.065) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.6 0.0 25.0 28.6 42.9 N = 28 Student Growth Percentile Range QQ−Plot: Student Growth Percentiles 19 29 39 49 59 69 79 89 99 Theoretical SGP Distr ibution 9 to to to to to to to to to to 10 20 30 40 50 60 70 80 90 0 10 20 30 40 50 60 70 80 90 100 1st/[−15,−1.594) 11.80 14.04 13.17 12.09 11.08 9.94 9.26 7.99 6.11 4.50 (9.9%) 100 2nd/[−1.594,−1.056) 16.82 15.19 13.71 12.16 10.30 9.17 7.35 6.23 5.19 3.88 (9.3%) Prior Scale Score Decile/Range * 3rd/[−1.056,−0.7248) 20.61 16.69 12.70 11.15 9.54 7.74 6.94 5.95 4.55 4.15 (9.6%) Empirical SGP Distribution 4th/[−0.7248,−0.3584) 24.13 16.43 12.64 10.28 9.16 7.40 6.37 5.21 4.35 4.04 (11.1%) 5th/[−0.3584,−0.0413) 24.77 16.21 12.82 10.39 8.26 7.55 6.58 5.30 4.47 3.65 (9.5%) 6th/[−0.0413,0.2485) 24.51 15.56 13.35 10.14 8.51 7.61 6.29 5.48 4.71 3.84 (10.4%) 7th/[0.2485,0.5255) 25.16 15.70 11.78 10.16 8.64 7.20 6.42 5.81 4.92 4.20 (9.5%) 8th/[0.5255,0.8737) 26.28 15.53 12.04 9.69 8.01 6.86 6.47 5.35 5.17 4.61 (10.7%) 9th/[0.8737,1.321) 26.25 15.41 11.46 10.16 8.14 6.60 6.48 5.52 5.47 4.51 (9.8%) 10th/[1.321,15] 24.28 14.51 11.29 9.37 8.87 7.74 6.66 6.41 5.58 5.29 (10.2%) *Prior score deciles can be une ven depending upon the pr ior score distr ibution New Meridian SGP Calculations 2021
  46. SGP Goodness of Fit Plots: New Meridian Mathematics Student Growth Percentile Goodness−of−Fit Descriptives 2020−2021.2 Mathematics SGP, Grade 8 (N = 88,672) SGP Deciles by Prior Achievement Level (Mathematics) Level 5 (3.4%) Level 4 (23.5%) Prior Achievement Level Level 3 (30.3%) Level 2 (28.8%) Level 1 (14%) Median Student Growth Percentile Ceiling / Floor Effects Test Student Growth Percentile Range Current Observed Score 5 9 to to to to to to to to to to to to 10 20 30 40 50 60 70 80 90 95 Lowest OSS: [ −15 ] 100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 N = 70 Extremes (Range) Highest OSS: [4.086,4.104) 0.0 0.0 0.0 0.0 0.0 4.5 0.0 4.5 0.0 36.4 18.2 36.4 N = 22 Student Growth Percentile Range QQ−Plot: Student Growth Percentiles 19 29 39 49 59 69 79 89 99 Theoretical SGP Distr ibution 9 to to to to to to to to to to 10 20 30 40 50 60 70 80 90 0 10 20 30 40 50 60 70 80 90 100 1st/[−15,−1.622) 12.04 13.03 11.74 10.67 10.48 10.37 8.82 8.62 7.46 6.78 (9.6%) 100 2nd/[−1.622,−1.171) 13.77 13.19 12.43 10.98 10.06 9.66 9.19 7.87 7.15 5.69 (9.2%) Prior Scale Score Decile/Range * 3rd/[−1.171,−0.8296) 14.00 14.01 12.09 11.26 10.75 9.69 8.70 7.45 6.75 5.31 (10%) Empirical SGP Distribution 4th/[−0.8296,−0.5464) 15.39 14.36 12.17 11.01 10.61 9.70 8.62 7.27 6.19 4.68 (9.7%) 5th/[−0.5464,−0.297) 17.12 14.02 12.95 10.92 9.96 8.95 8.37 6.81 6.18 4.71 (10.8%) 6th/[−0.297,−0.0212) 17.48 14.79 13.19 10.99 9.72 8.92 7.67 6.91 5.91 4.43 (9.3%) 7th/[−0.0212,0.2955) 17.94 15.22 12.19 11.07 9.72 9.15 7.54 6.46 5.78 4.94 (11.1%) 8th/[0.2955,0.6893) 20.42 14.11 12.57 10.31 9.69 8.52 7.56 6.42 5.43 4.96 (10.1%) 9th/[0.6893,1.154) 18.55 15.21 12.94 11.11 9.10 8.29 7.47 6.52 5.86 4.95 (9.9%) 10th/[1.154,15] 18.21 13.88 11.92 10.44 8.64 8.44 8.32 7.56 7.31 5.27 (10.3%) *Prior score deciles can be une ven depending upon the pr ior score distr ibution New Meridian SGP Calculations 2021
  47. Growth by Prior Score Decile & Ethnicity: ELA - Grade 5 New Meridian SGP Calculations 2021
  48. Growth by Prior Score Decile & Ethnicity: ELA - Grade 6 New Meridian SGP Calculations 2021
  49. Growth by Prior Score Decile & Ethnicity: ELA - Grade 7 New Meridian SGP Calculations 2021
  50. Growth by Prior Score Decile & Ethnicity: ELA - Grade 8 New Meridian SGP Calculations 2021
  51. Growth by Prior Score Decile & Ethnicity: Mathematics - Grade 5 New Meridian SGP Calculations 2021
  52. Growth by Prior Score Decile & Ethnicity: Mathematics - Grade 6 New Meridian SGP Calculations 2021
  53. Growth by Prior Score Decile & Ethnicity: Mathematics - Grade 7 New Meridian SGP Calculations 2021
  54. Growth by Prior Score Decile & Ethnicity: Mathematics - Grade 8 New Meridian SGP Calculations 2021