New Meridian SGP Calculation 2021
Growth & Pandemic Academic Impact
Damian Betebenner & Adam Van Iwaarden
Center for Assessment
New Meridian
TAC Meeting
September 10th, 2021
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 5 ELA
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 6 ELA
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 7 ELA
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 8 ELA
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 5 Mathematics
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 6 Mathematics
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 7 Mathematics
New Meridian SGP Calculations 2021
New Meridian Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 8 Mathematics
New Meridian SGP Calculations 2021
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
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
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
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
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
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
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
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
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
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
SGP Goodness of Fit Plots: New Meridian ELA
New Meridian SGP Calculations 2021
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
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
Growth by Prior
Score Decile &
Ethnicity:
ELA - Grade 5
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
ELA - Grade 6
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
ELA - Grade 7
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
ELA - Grade 8
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
Mathematics -
Grade 5
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
Mathematics -
Grade 6
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
Mathematics -
Grade 7
New Meridian SGP Calculations 2021
Growth by Prior
Score Decile &
Ethnicity:
Mathematics -
Grade 8
New Meridian SGP Calculations 2021
About this copy
New Meridian SGP Calculation 2021 — New Meridian, September 10, 2021.
This is an image-based copy of the original PowerPoint slides; builds and animations are flattened.