Colorado SGP Calculation 2021
Growth & Pandemic Academic Impact
Damian Betebenner & Adam Van Iwaarden
Center for Assessment
Colorado Department of Education
TAP Meeting
September 30th, 2021
Catching Up with the Colorado TAP
• 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.
• CMAS testing cancelled in spring 2020.
• WIDA-ACCESS testing occurred in 2020
Colorado SGP Calculations 2021
Colorado 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.
• Colorado had reduced CMAS testing but had regular PSAT/SAT
testing and regular WIDA-ACCESS testing.
• CMAS ELA testing in grades 3, 5, 7
• CMAS Mathematics testing in grades 4, 6, 8
• PSAT Mathematics and ELA testing in grade 9 and 10
• SAT Mathematics and ELA testing in grades 11
• WIDA-ACCESS testing in grades
Colorado SGP Calculations 2021
Colorado SGP Operational Considerations in 2021
• Colorado CMAS growth analyses are skip-year/gap year growth from 2019 to 2021:
• ELA – Grade 3/2019 to Grade/5 2021; Grade 5/2019 to Grade 7/2021
• Mathematics – Grade 4/2019 to Grade 6/2021; Grade 6/2019 to Grade 8/2021.
• Colorado WIDA-ACCESS growth analyses are consecutive year growth from 2020 to
• In 2021, two types of SGP analyses were conducted for Colorado 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.
• 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.
• Projections (lagged and straight) were calculated for 2021 data using baseline
growth norms in case they were needed.
Colorado 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.
• Mean/median will be 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.
• Extent of deviation from (usually below) 50 is indicative of less learning/pandemic related
academic impact.
• A 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.
Colorado SGP Calculations 2021
SGP Calculations
• SGP calculations were performed using the SGP package and R
software environment based upon data supplied by CDE.
• To facilitate the calculation of baseline SGPs across multiple
states, we created an additional R package, SGPmatrices, that
contains Colorado matrices, amongst others.
• https://centerforassessment.github.io/SGPmatrices/
• Source code associated with calculations are available on
GitHub:
• Colorado: https://github.com/CenterForAssessment/Colorado
Colorado SGP Calculations 2021
SGP Assumptions
• SGP analyses (cohort and baseline referenced) 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 across students in that
instance should 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, for example, form comparability, mode-of-administration
comparability, etc.
• Colorado 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.
Colorado SGP Calculations 2021
Scale Score Validity
• Prior to the arrival of 2021 test results (across many states), there
were pervasive concerns about ”comparability” of results to
previous (e.g., 2019).
• The term comparability is often used in two different ways:
• Comparability of individual scale scores: Does the scale mean the same thing
that it used to.
• Comparability of aggregate scores (e.g., percent proficient). Is percent
proficient (e.g., for a school) comparable to prior years.
• Both issues are of relevance. Note that without comparability of
individual scale scores, you lose comparability at the aggregate level.
• We focus initially on comparability of individual scale scores as that
it critical for the calculation of baseline referenced SGPs.
Colorado SGP Calculations 2021
Scale Score Validity
• Threats to comparability of individual level scores can occur due to
numerous conditions including:
• Different modes of administration (in person versus remote)
• Differential motivation of test takers.
• Equating anomalies (e.g., post-equating of results over the course of the
pandemic)
• Differential test taking conditions including altered/shortened test forms.
• We note that lower participation rates in and of themselves are not
sufficient to undermine scale score validity unless these conditions
can be shown to somehow impact the meaning of student scores.
Colorado SGP Calculations 2021
Scale Score Validity
• Given plans to calculated baseline referenced SGPs in numerous
states, the Center put in place several checks to ensure validity of
scale scores.
• A priori Checks:
• Reviewed results from states/organizations using baseline SGPs
• Ran sensitivity analyses to examine to what extent perturbed data impact
baseline SGP analyses.
• Examined equating and psychometric reports (e.g., person fit statistics) for
2021 to detect anomalous data.
• Post-hoc Checks:
• Compared results across states to see whether results conform to what is
showing up in other states.
• Inspected results within state looking for anomalous results which may
indicate issues related to scale stability.
Colorado SGP Calculations 2021
Baseline referenced SGPs
• Baseline referenced SGPs have been calculated in several states
as well as with interim assessments over the last decade.
• The Georgia Department of Education calculated baseline SGPs
and used them as part of their accountability system for 5 years
in the early 2010s prior to the assessment transition in 2015.
• Baseline SGPs demonstrated excellent stability for grade level assessments.
• Goal of using baseline SGPs was to avoid zero-sum game associated with norm-
referenced analyses each year.
• Renaissance Learning uses baseline matrices to calculate SGPs in real
time.
• Quantile regression is equivariant to monotone transitions to scale so, in
general, robust to minor perturbations of scale.
Colorado SGP Calculations 2021
Baseline referenced SGPs
• We are not aware of any psychometric concerns regarding the
validity of scale scores reported by CDE.
• Given that the state reported results to the public in early
August, we presume that the psychometrics supported
comparisons to 2019 results.
• Baseline growth results are consistent with what has been
observed in the dozen states we have examined nationally.
• In the following slides we report the baseline referenced SGPs.
• We also show 2019 SGPs (baseline/skip-year) to illustrate academic
impact.
Colorado 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.
• This is the second comparability issue discussed earlier.
Colorado 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/Dale020
402.pdf
• We present (briefly) status results in addition to growth results.
Colorado 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.
• 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.
Colorado SGP Calculations 2021
Points of Clarification for Status Results
• Drops in percent proficient are fairly modest compared to what has been
observed in other states (ELA high single digit decreases/mathematics low
double-digit decreases).
• Based upon multiple imputation analyses, decreases observed in percent
proficient almost certainly underestimate the true decrease in percent
proficient had all students tested.
• 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, current results based upon incomplete data likely represent a
best-case scenario compared to what would appear given fuller
participation.
Colorado SGP Calculations 2021
CMAS/PSAT/SAT: 2019 to 2021 Median Baseline SGPs
by Grade
ELA Mathematics
Grade
Median SGP 2019 Median SGP Difference 2021 to Median SGP 2019 Median SGP 2021 Difference 2021 to
3 NA NA NA NA NA NA
4 NA NA NA NA NA NA
PSAT 9 50.0 (51,120/73.2%) 44.0 (42,889/59.1%) -6.0 50.0 (48,727/69.8%) 36.0 (42,957/60.9%) -14.0
PSAT 10 50.0 (47,463/69.2%) 47.0 (35,513/60.8%) -3.0 50.0 (35,513/51.8%) 50.0 (40,434/59.1%) 0.0
SAT --- --- --- --- --- ---
Colorado SGP Calculations 2021
Discussion
• Impacts in mathematics exceeded those in ELA.
• Decreases in median SGP in mathematics were, in general, in the lower teens.
• Decreases in median SGP in ELA were in, in general, the upper single digits. ELA grade 5 is anomalous
for being somewhat small.
• The lack of impact in PSAT 10 math is likely due to the fact that the baseline matrices
contained a subset of students (PSAT 10/2019 to Math/2017/Grade 8 excluded about
15,000 students who took Algebra I or Geometry in 2017 while in grade 8.
• The results are broadly consistent with those found in the dozen other states we’ve
analyzed.
• Due to the fact that growth is uncorrelated with prior achievement, missing data impacts
are much more muted with growth than with status.
• In other states we’ve classified academic impacts as:
• > -5: Modest to None
• -15 to -5: Moderate
• < -15: Large
Colorado SGP Calculations 2021
WIDA-ACCESS Growth: 2020 to 2021 Median Baseline
SGPs
Composite Composite
Grade Grade
Median SGP 2020 Median SGP 2021 Difference 2021 to Median SGP 2020 Median SGP 2021 Difference 2021 to
Colorado SGP Calculations 2021
Discussion
• Impacts in lower grades much more severe than those in middle
schools.
• Impacts in high school grades are negligible to non-existent.
• Same patterns seen in all other WIDA states we have looked at.
• Based upon a presentation by WIDA at NCSA/CCSSO in June,
drops are largely attributable to decreases in scores in speaking.
• Lack of impact in high school grades likely indicates that typical,
pre-pandemic growth represented impoverished rates of
learning.
Colorado SGP Calculations 2021
CMAS: 2019 to 2021 Median SGPs by Ethnicity
ELA Mathematics
Ethnicity
Median SGP Median SGP Difference 2021 Median SGP Median SGP Difference 2021
2019 2021 to 2019 2019 2021 to 2019
American 45.0 (711) 37.0 (429) -8.0 49.0 (697) 33.0 (377) -16.0
Indian/Alaskan
Native
Asian 62.0 (3,440) 53.0 (2,382) -9.0 62.0 (3,535) 44.0 (2,335) -18.0
Black/African 44.0 (4,893) 40.0 (2,887) -4.0 45.0 (4,781) 29.0 (2,508) -16.0
American
Hispanic/Latino 46.0 (39,279) 38.0 (27,099) -8.0 47.0 (39,720) 31.0 (26,766) -16.0
Pacific Islander 49.0 (240) 41.0 (161) -8.0 45.0 (260) 33.0 (152) -12.0
White 52.0 (58,685) 45.0 (44,028) -7.0 52.0 (55,464) 37.0 (41,139) -15.0
Two or More 51.0 (4,882) 44.0 (3,581) -7.0 49.0 (4,595) 36.0 (3,141) -13.0
Races
Colorado 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 impacts by ethnicity are fairly uniform.
Colorado SGP Calculations 2021
CMAS Growth: 2019 to 2021 Median SGPs by
Disadvantaged Status
ELA Mathematics
Free/Reduced
Median SGP Median SGP Difference 2021 Median SGP Median SGP Difference 2021
Lunch Status
2019 2021 to 2019 2019 2021 to 2019
No 53.0 (64,111) 46.0 (50,336) -7.0 53.0 (62,510) 38.0 (48,114) -15.0
Yes 46.0 (48,008) 38.0 (30,215) -8.0 46.0 (46,526) 30.0 (28,285) -16.0
Colorado 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 uniform across the subgroups.
Colorado SGP Calculations 2021
CMAS Growth: 2019 to 2021 Median SGPs by Gender
ELA Mathematics
Gender
Median SGP Median SGP Difference 2021 Median SGP Median SGP Difference 2021
2019 2021 to 2019 2019 2021 to 2019
Female 55.0 (54,606) 45.0 (38,864) -10.0 52.0 (52,913) 36.0 (36,362) -16.0
Male 46.0 (57,534) 41.0 (41,706) -5.0 49.0 (56,143) 34.0 (40,060) -15.0
Colorado 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 similarly large in math, but smaller for males in ELA
than for females.
Colorado SGP Calculations 2021
CMAS Growth: 2019 to 2021 Median SGPs by IEP Status
ELA Mathematics
IEP Status
Median SGP Median SGP Difference 2021 Median SGP Median SGP Difference 2021
2019 2021 to 2019 2019 2021 to 2019
IEP No 51.0 (100,268) 43.0 (71,454) -8.0 51.0 (98,272) 35.0 (68,240) -16.0
IEP Yes 41.0 (11,872) 39.0 (9,116) -2.0 43.0 (10,784) 34.0 (8,182) -9.0
Colorado SGP Calculations 2021
Discussion of IEP Status Results
• IEP status gaps historically exist and favor non-IEP students in
both ELA and mathematics.
• Gaps in 2021 were substantially larger for non-IEP students than
for IEP students.
• Potential explanation include:
• Concerted effort to educate IEP students during the pandemic thus
minimizing the academic impact to that group of students.
• Impoverished growth rates pre-pandemic such that pandemic impacts
didn’t substantially change rates of learning.
Colorado SGP Calculations 2021
Academic Impact by Prior Achievement
• 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 ethnicity.
Colorado SGP Calculations 2021
Colorado Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 5 ELA
Colorado SGP Calculations 2021
Colorado Median/Mean Skip-Year SGPs by Prior
Achievement: Grade 7 ELA
Colorado SGP Calculations 2021
Academic Impact by School and District
• Here we present some preliminary finding when examining
academic impact at the school and district level.
• Because of the reduced testing in Colorado, results are
presented at the school x grade and district x grade level.
• Growth is less impacted by missing data than status, but caution
should be exercised in interpretations especially with substantial
missing data for the school or district.
• We are finalizing multiple imputation results that can be used to
better understand the impact of missing data for schools and
districts.
Colorado 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.
Colorado 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.
Colorado 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.
Colorado 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 are more
interested in using MI to determine whether we trust the
statistics calculated from the observed (with missing) data than
to produce “corrected” parameter estimates.
• Statistics of particular interest:
• Mean/median scale scores
• Mean/median baseline SGPs
• Effect size estimates
• Percent Proficient
Colorado SGP Calculations 2021
Multiple Imputation
• Before performing a MI analysis with Colorado data, missing data
patterns were investigated.
• Patterns suggest some relationship to factors such economic
status and ethnicity.
• The relationship with prior achievement is relatively small.
• These relationships suggest that missingness in Colorado 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).
Colorado SGP Calculations 2021
Missing Data Patterns
Colorado SGP Calculations 2021
Missing Data Patterns
Colorado SGP Calculations 2021
Missing Data Patterns
Colorado SGP Calculations 2021
Missing Data Patterns
Colorado SGP Calculations 2021
Multiple Imputation
• Given the 2021 missingness patterns and the good coverage of observed
scores for students from all demographic groups and prior achievement levels,
MI is a reasonable approach to dealing with CMAS missing data.
• Imputation models included:
• Student prior achievement
• Student demographics
• FRL Status
• Disability status
• English language proficiency status
• Gender
• Ethnicity dummy variables for White, African American, Hispanic and Asian students
• School level clustering
• 30 imputations (M = 30 with a maximum of 10 iterations per imputation) were
conducted.
Colorado SGP Calculations 2021
Multiple Imputation
• Imputation models were restricted to include only students
who were enrolled, but not tested.
• Knowing school/district affiliation is critical for assessing the
impact of missing data for subsequent analyses at these levels.
• Excluding students who “disappeared” from the system may not
give us a full account of the impact of missing data at the state
level. However, a comparison of the enrolled vs. non-enrolled
missing students does not lead us to believe their inclusion would
meaningfully change inferences at the state level.
Colorado SGP Calculations 2021
Multiple Imputation
Density
SCALE_SCORE.2021
Colorado SGP Calculations 2021
Multiple Imputation
Density
SCALE_SCORE.2021
Colorado 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
• 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.
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 7 ELA 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 10.5% Higher Growth
School Size
50 Students
100 Students
9.3% 16.5% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 7 ELA 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 22.8% Higher Growth
School Size
50 Students
100 Students
25.6% 26.1% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 7 ELA 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 33.3% Higher Growth
School Size
50 Students
100 Students
37.2% 33.9% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 7 ELA 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 27.6% Higher Growth
School Size
50 Students
100 Students
25.6% 15.7% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 7 ELA 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 5.9% Higher Growth
School Size
50 Students
100 Students
2.3% 7.8% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 8 Mathematics 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 10.8% Higher Growth
School Size
50 Students
100 Students
13.3% 13% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 8 Mathematics 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 15.1% Higher Growth
School Size
50 Students
100 Students
6.7% 24.1% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 8 Mathematics 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 30% Higher Growth
School Size
50 Students
100 Students
46.7% 25.9% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 8 Mathematics 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 28.6% Higher Growth
School Size
50 Students
100 Students
33.3% 22.2% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado SGP Calculations 2021
Grade by School Level COVID Academic Impact
CMAS: Grade 8 Mathematics 2019 Growth by Achievement
Higher Achievement Higher Achievement
Lower Growth 15.4% Higher Growth
School Size
50 Students
100 Students
0% 14.8% 250 Students
500 Students
2019 Percent Proficient
COVID Impact
2021 SGP − 2019 SGP
Improvement (> 5)
40 Modest to None (−5 to 5)
Moderate (−15 to −5)
Large (−25 to −15)
Achievement
Severe (< −25)
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2019 Median Student Growth Percentile
Colorado 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.
Colorado 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 about whether recovery is occurring: Who,
what, how much.
• Because of CMAS content x grade coverage in 2021, growth will be limited in 2022.
• Monitoring recovery will be at least as critical as monitoring the impact of the
pandemic on student achievement.
• Beware the K-shaped recovery!
Colorado SGP Calculations 2021
Summary of Findings
• SGP analyses were successfully conducted for Colorado CMAS/PSAT/SAT/WIDA-
ACCESS testing in spring 2021
• For the CMAS, results of the analyses suggest moderate academic impacts in ELA
and large academic impacts in mathematics due to the pandemic.
• For WIDA-ACCESS, academic impact was large in elementary grades, moderate in
middle school grades, and no academic impact was indicated in the high school
grades (likely due to the fact that pre-pandemic growth was already impoverished
for high school students).
• Though CMAS testing is half of what it usually is, results suggest uniform impactby
content area across elementary, middle and high school.
• 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.
Colorado SGP Calculations 2021
SGP Goodness of Fit Plots: Colorado ELA
Student Growth Percentile Goodness−of−Fit Descriptives Student Growth Percentile Goodness−of−Fit Descriptives
2021 ELA SGP, Grade 7 (N = 39,035) 2021 ELA SGP, Grade 5 (N = 41,535)
SGP Deciles by Prior Achievement Level (ELA) SGP Deciles by Prior Achievement Level (ELA)
Level 5 (6.3%) Level 5 (4.7%)
Prior Achievement Level Prior Achievement Level
Level 4 (37.8%)
Level 4 (43.5%)
Level 3 (23.2%)
Level 3 (25.4%)
Level 2 (18%)
Level 2 (16.3%)
Level 1 (16.2%)
Level 1 (8.6%)
Median Student Growth Percentile Median Student Growth Percentile
Ceiling / Floor Effects Test Ceiling / Floor Effects Test
Student Growth Percentile Range
Student Growth Percentile Range
Current Observed Score Current Observed Score
5 9 to to to to to to to to to to
19 29 39 49 59 69 79 89 94 99 to to 10 20 30 40 50 60 70 80 90 95
5 9 to to to to to to to to to to 1 5
to to 10 20 30 40 50 60 70 80 90 95
Lowest OSS: [ 650 ] 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 = 98
Extremes (Range)
Lowest OSS: [ 650 ] 98.9 1.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 N = 182
Extremes (Range)
Highest OSS: [840,849) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19.2 15.4 65.4 N = 26
Highest OSS: [ 850 ] 0.0 0.0 0.0 0.0 0.0 0.0 4.6 7.7 9.2 12.3 21.5 44.6 N = 65 [849,850] 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35.7 64.3 N = 28
Student Growth Percentile Range QQ−Plot: Student Growth Percentiles Student Growth Percentile Range QQ−Plot: Student Growth Percentiles
19 29 39 49 59 69 79 89 99 Theoretical SGP Distribution 19 29 39 49 59 69 79 89 99 Theoretical SGP Distribution
9 to to to to to to to to to 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 1
to 10 20 30 40 50 60 70 80 90 0 10 20 30 40 50 60 70 80 90 100
1st/[650,702) 10.67 11.40 11.69 10.61 10.86 9.69 9.29 10.05 8.83 6.91 (9.5%) 100 1st/[650,688) 5.77 8.25 8.79 9.13 10.08 11.78 11.90 12.34 11.73 10.22 (9.9%) 100
2nd/[702,718) 10.97 11.36 10.92 11.96 10.79 10.84 10.82 9.00 8.12 5.21 (9.9%) 2nd/[688,706) 9.50 9.78 11.61 10.38 11.10 12.16 9.98 8.47 9.04 7.99 (10%)
Prior Scale Score Decile/Range * Prior Scale Score Decile/Range *
3rd/[718,730) 10.30 11.98 12.50 12.50 11.70 10.14 9.96 7.99 7.37 5.55 (9.9%) 3rd/[706,719) 11.38 11.17 12.09 10.51 11.15 10.43 8.95 8.67 7.91 7.73 (9.4%)
Empirical SGP Distribution Empirical SGP Distribution
4th/[730,740) 9.93 13.72 12.86 12.34 11.46 10.04 9.47 8.12 6.64 5.42 (9.9%) 4th/[719,731) 11.23 11.39 11.11 9.66 10.11 10.39 9.90 9.71 7.94 8.56 (10.1%)
5th/[740,749) 10.71 14.97 12.93 12.68 10.84 9.26 8.95 7.04 7.12 5.51 (10%) 5th/[731,742) 12.32 11.15 10.60 9.93 9.54 9.93 9.84 9.11 8.74 8.85 (10.5%)
6th/[749,758) 12.67 14.08 13.63 11.86 10.47 9.87 8.07 7.72 6.96 4.67 (10.2%) 6th/[742,752) 12.65 11.03 10.93 9.87 9.36 9.00 9.77 9.49 9.33 8.56 (9.4%)
7th/[758,767) 13.32 13.47 12.95 10.19 10.26 10.31 8.93 8.53 7.10 4.94 (10.2%) 7th/[752,763) 12.23 10.57 11.38 9.61 10.45 10.09 8.94 8.70 9.25 8.78 (10.1%)
8th/[767,777) 13.68 13.42 12.78 10.55 10.45 10.75 8.06 7.62 6.88 5.80 (10%) 8th/[763,776) 12.73 10.95 10.47 9.91 11.23 10.97 9.52 9.77 7.59 6.85 (10.4%)
9th/[777,791) 15.79 12.05 12.49 10.65 10.04 9.70 7.43 9.26 7.11 5.47 (10.5%) 9th/[776,793) 13.47 11.36 9.95 11.36 10.74 9.58 9.95 9.48 7.77 6.33 (9.7%)
10th/[791,850] 17.35 15.02 11.18 9.98 9.90 9.01 9.11 6.83 6.53 5.09 (10%) 10th/[793,850] 15.48 13.86 11.52 11.81 10.76 8.98 7.60 8.20 6.77 5.02 (10.5%)
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Colorado SGP Calculations 2021
SGP Goodness of Fit Plots: Colorado Mathematics
Student Growth Percentile Goodness−of−Fit Descriptives Student Growth Percentile Goodness−of−Fit Descriptives
2021 Mathematics SGP, Grade 8 (N = 35,647) 2021 Mathematics SGP, Grade 6 (N = 40,775)
SGP Deciles by Prior Achievement Level (Mathematics) SGP Deciles by Prior Achievement Level (Mathematics)
Level 5 (4.5%) Level 5 (3.2%)
Level 4
Prior Achievement Level Prior Achievement Level
(27.5%) Level 4 (32.6%)
Level 3 (28.4%)
Level 3 (27.4%)
Level 2 (26.4%) Level 2 (23.4%)
Level 1 (13.1%) Level 1 (13.4%)
Median Student Growth Percentile Median Student Growth Percentile
Ceiling / Floor Effects Test Ceiling / Floor Effects Test
Student Growth Percentile Range
Student Growth Percentile Range
Current Observed Score Current Observed Score
5 9 to to to to to to to to to to
19 29 39 49 59 69 79 89 94 99 to to 10 20 30 40 50 60 70 80 90 95
5 9 to to to to to to to to to to 1 5
to to 10 20 30 40 50 60 70 80 90 95
Lowest OSS: [ 650 ] 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 = 407
Extremes (Range)
Lowest OSS: [ 650 ] 80.7 16.8 2.5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 N = 322
Extremes (Range)
Highest OSS: [832,840) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20.8 25.0 54.2 N = 24
Highest OSS: [ 850 ] 0.0 0.0 0.0 0.0 0.0 0.0 4.9 3.9 10.8 16.7 15.7 48.0 N = 102 [840,850] 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4 18.5 74.1 N = 27
Student Growth Percentile Range QQ−Plot: Student Growth Percentiles Student Growth Percentile Range QQ−Plot: Student Growth Percentiles
19 29 39 49 59 69 79 89 99 Theoretical SGP Distribution 19 29 39 49 59 69 79 89 99 Theoretical SGP Distribution
9 to to to to to to to to to 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 1
to 10 20 30 40 50 60 70 80 90 0 10 20 30 40 50 60 70 80 90 100
1st/[650,695) 7.20 8.06 11.81 10.95 12.19 10.25 11.54 11.28 9.21 7.50 (9.5%) 100 1st/[650,695) 21.57 13.91 11.33 10.05 9.84 9.14 7.53 6.50 5.12 5.00 (9.8%) 100
2nd/[695,707) 7.49 10.28 12.53 12.45 12.56 10.50 11.42 9.03 7.88 5.85 (10.1%) 2nd/[695,708) 23.89 14.80 11.16 10.39 8.59 7.17 6.69 6.45 5.68 5.17 (10.2%)
Prior Scale Score Decile/Range * Prior Scale Score Decile/Range *
3rd/[707,716) 9.85 11.28 13.94 12.22 12.76 11.10 10.27 7.99 5.98 4.62 (9.5%) 3rd/[708,718) 21.00 15.26 10.86 9.88 8.78 7.77 8.01 6.59 6.07 5.77 (9.5%)
Empirical SGP Distribution Empirical SGP Distribution
4th/[716,725) 11.97 13.44 15.23 12.48 12.24 10.66 7.35 7.00 5.29 4.33 (10.5%) 4th/[718,727) 19.99 13.17 11.79 9.74 8.53 8.61 8.28 7.07 7.10 5.72 (9.6%)
5th/[725,733) 13.37 16.45 14.40 11.84 11.39 9.19 7.23 7.02 5.21 3.92 (9.3%) 5th/[727,736) 18.82 12.73 11.74 10.15 9.39 9.66 8.49 6.88 6.29 5.84 (9.9%)
6th/[733,742) 16.94 16.41 14.09 11.18 10.19 9.47 6.70 6.50 4.29 4.23 (10.1%) 6th/[736,746) 18.93 13.32 11.54 10.29 9.62 8.46 8.53 7.57 6.28 5.46 (11%)
7th/[742,751) 18.83 18.50 14.30 10.30 9.66 7.04 6.90 5.57 4.73 4.17 (10%) 7th/[746,755) 19.18 13.88 12.07 10.11 9.44 9.00 6.77 7.34 5.89 6.31 (9.5%)
8th/[751,762) 20.46 15.74 12.91 10.77 8.93 7.31 6.89 6.73 4.86 5.39 (10.6%) 8th/[755,765) 21.66 15.18 11.90 10.49 8.35 8.80 7.06 6.18 4.99 5.37 (9.7%)
9th/[762,775) 18.97 15.06 12.26 11.46 9.99 8.46 7.13 6.19 5.44 5.05 (10.1%) 9th/[765,779) 21.32 15.04 11.20 9.64 8.39 7.88 7.36 6.51 6.06 6.60 (10.4%)
10th/[775,850] 19.17 15.47 10.02 10.95 8.80 8.22 7.57 7.60 6.54 5.66 (10.3%) 10th/[779,850] 22.50 13.98 11.32 9.09 8.45 7.34 7.37 6.21 7.51 6.21 (10.4%)
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Colorado SGP Calculations 2021
Colorado Covid Academic Impact Analyses: ELA Grade 5
Pre−Covid (2019) Results Covid (2021) Results Covid Impact (2021 − 2019) Results
Growth by Prior
Median SGP: 50 Median SGP: 46 Median SGP Difference: −4
Mean Scale Score: 748 Mean Scale Score: 747 Mean Scale Score Difference: −1
Percent Proficient: 49.7% SGP Count: 57083 Percent Proficient: 48.2% SGP Count: 41535 Percent Proficient Difference: −1.5%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Score Decile &
1st/[650,684) 9.46 10.09 9.96 10.24 9.87 10.02 9.89 9.94 9.89 10.65 9.4%/50 1st/[650,688) 5.77 8.25 8.79 9.13 10.08 11.78 11.90 12.34 11.73 10.22 9.9%/57 7
Full Population
2nd/[684,703) 9.34 9.90 10.70 9.59 10.60 10.22 10.19 9.64 10.10 9.71 10.3%/49 2nd/[688,706) 9.50 9.78 11.61 10.38 11.10 12.16 9.98 8.47 9.04 7.99 10%/48 −1
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[703,717) 9.62 9.82 9.44 9.91 9.24 10.29 10.12 10.18 10.27 11.11 10.2%/51 3rd/[706,719) 11.38 11.17 12.09 10.51 11.15 10.43 8.95 8.67 7.91 7.73 9.4%/44 −7
4th/[717,729) 9.60 10.34 9.81 10.33 10.42 9.47 10.21 9.70 9.79 10.33 9.2%/49 4th/[719,731) 11.23 11.39 11.11 9.66 10.11 10.39 9.90 9.71 7.94 8.56 10.1%/46 −3
5th/[729,740) 9.33 9.97 10.49 10.02 9.93 10.10 9.85 10.07 9.93 10.32 10.5%/50 5th/[731,742) 12.32 11.15 10.60 9.93 9.54 9.93 9.84 9.11 8.74 8.85 10.5%/46 −4
Ethnicity:
6th/[740,751) 9.82 10.46 9.72 9.57 10.17 10.39 9.84 9.55 9.89 10.58 10.2%/50 6th/[742,752) 12.65 11.03 10.93 9.87 9.36 9.00 9.77 9.49 9.33 8.56 9.4%/46 −4
7th/[751,761) 9.29 9.60 10.21 10.14 10.01 9.36 10.25 10.56 10.09 10.48 9.7%/50 7th/[752,763) 12.23 10.57 11.38 9.61 10.45 10.09 8.94 8.70 9.25 8.78 10.1%/45 −5
8th/[761,774) 9.65 10.15 9.86 10.09 10.16 10.04 9.79 9.93 10.04 10.29 9.8%/50 8th/[763,776) 12.73 10.95 10.47 9.91 11.23 10.97 9.52 9.77 7.59 6.85 10.4%/45 −5
9th/[774,791) 9.90 9.89 10.29 9.56 9.97 10.13 9.71 9.97 9.84 10.75 10.8%/50 9th/[776,793) 13.47 11.36 9.95 11.36 10.74 9.58 9.95 9.48 7.77 6.33 9.7%/43 −7
10th/[791,850] 9.25 9.97 9.88 10.39 9.97 9.70 10.14 10.19 10.09 10.42 10%/50 10th/[793,850] 15.48 13.86 11.52 11.81 10.76 8.98 7.60 8.20 6.77 5.02 10.5%/37 −13
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
ELA - Grade 5
Median SGP: 45 Median SGP: 39.5 Median SGP Difference: −5.5
Mean Scale Score: 734 Mean Scale Score: 734 Mean Scale Score Difference: 0
Percent Proficient: 32.1% SGP Count: 2554 Percent Proficient: 31.1% SGP Count: 1548 Percent Proficient Difference: −1%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
African American
1st/[650,684) 10.80 8.51 10.80 12.87 8.51 8.74 10.34 8.74 11.03 9.66 17%/49 1st/[650,688) 6.20 10.08 8.91 11.24 8.53 10.47 12.02 10.85 10.08 11.63 16.7%/55 6
2nd/[684,703) 11.01 12.65 10.77 8.90 9.37 8.90 8.43 8.90 11.94 9.13 16.7%/46 2nd/[688,706) 9.09 10.91 11.36 8.64 12.27 15.00 7.73 10.00 10.00 5.00 14.2%/48 2
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[703,717) 12.77 10.33 7.60 8.21 11.85 11.25 8.51 9.73 9.73 10.03 12.9%/49 3rd/[706,719) 16.84 14.74 10.53 7.37 11.05 9.47 9.47 7.37 4.74 8.42 12.3%/41 −8
4th/[717,729) 11.40 11.76 10.66 13.97 11.03 8.82 7.35 8.82 7.35 8.82 10.6%/41 4th/[719,731) 18.34 13.02 12.43 8.88 9.47 8.88 7.10 10.65 5.92 5.33 10.9%/37 −4
5th/[729,740) 9.50 13.22 7.02 9.50 12.40 9.92 12.40 9.92 8.26 7.85 9.5%/48.5 5th/[731,742) 19.53 14.20 11.83 8.28 9.47 9.47 11.83 4.73 6.51 4.14 10.9%/35 −13.5
6th/[740,751) 13.94 13.94 12.98 10.58 8.65 11.06 7.69 8.65 8.17 4.33 8.1%/37 6th/[742,752) 13.89 13.89 13.89 9.72 9.03 8.33 9.72 6.94 6.94 7.64 9.3%/38 1
7th/[751,761) 16.07 7.59 12.50 12.50 8.48 9.82 6.70 12.05 6.70 7.59 8.8%/42.5 7th/[752,763) 21.19 7.63 13.56 14.41 5.08 9.32 8.47 7.63 8.47 4.24 7.6%/33.5 −9
8th/[761,774) 10.13 15.19 13.29 7.59 5.70 10.13 7.59 12.66 9.49 8.23 6.2%/45 8th/[763,776) 21.67 14.17 10.83 10.83 11.67 9.17 5.00 11.67 1.67 3.33 7.8%/33 −12
9th/[774,791) 13.89 11.81 13.19 6.94 9.72 8.33 12.50 8.33 6.94 8.33 5.6%/43 9th/[776,793) 25.00 14.13 14.13 9.78 8.70 7.61 5.43 8.70 5.43 1.09 5.9%/26 −17
10th/[791,850] 18.26 16.52 10.43 11.30 7.83 11.30 8.70 4.35 4.35 6.96 4.5%/34 10th/[793,850] 32.35 20.59 10.29 10.29 5.88 4.41 8.82 1.47 1.47 4.41 4.4%/17 −17
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 60 Median SGP: 51 Median SGP Difference: −9
Mean Scale Score: 761 Mean Scale Score: 758 Mean Scale Score Difference: −3
Percent Proficient: 66.8% SGP Count: 1721 Percent Proficient: 62.7% SGP Count: 1226 Percent Proficient Difference: −4.09999999999999%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,684) 10.38 6.60 6.60 9.43 7.55 14.15 14.15 9.43 6.60 15.09 6.2%/54 1st/[650,688) 1.16 5.81 9.30 15.12 8.14 12.79 15.12 12.79 10.47 9.30 7%/59 5
2nd/[684,703) 8.62 5.17 6.03 13.79 4.31 12.07 8.62 12.07 14.66 14.66 6.7%/59.5 2nd/[688,706) 10.20 8.16 7.14 6.12 14.29 9.18 8.16 9.18 13.27 14.29 8%/54.5 −5
Asian
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[703,717) 7.07 3.03 8.08 8.08 5.05 8.08 15.15 15.15 12.12 18.18 5.8%/67 3rd/[706,719) 5.15 7.22 8.25 12.37 12.37 7.22 5.15 10.31 16.49 15.46 7.9%/56 −11
4th/[717,729) 9.23 3.08 6.15 13.08 9.23 8.46 9.23 8.46 13.85 19.23 7.6%/61.5 4th/[719,731) 8.79 7.69 6.59 12.09 5.49 16.48 9.89 13.19 6.59 13.19 7.4%/56 −5.5
5th/[729,740) 6.25 7.50 6.25 8.12 10.62 7.50 13.75 9.38 13.75 16.88 9.3%/62 5th/[731,742) 8.65 15.38 13.46 6.73 4.81 9.62 5.77 10.58 10.58 14.42 8.5%/50.5 −11.5
6th/[740,751) 4.76 8.47 6.35 7.94 10.58 12.17 11.64 13.76 10.58 13.76 11%/59 6th/[742,752) 9.84 9.02 2.46 9.84 7.38 10.66 13.93 13.11 9.02 14.75 10%/63 4
7th/[751,761) 4.76 4.23 5.82 10.05 8.47 8.99 13.76 15.34 11.11 17.46 11%/66 7th/[752,763) 7.83 13.04 8.70 13.04 8.70 13.04 7.83 8.70 9.57 9.57 9.4%/48 −18
8th/[761,774) 5.05 9.09 8.59 11.11 9.60 12.63 10.10 7.58 12.12 14.14 11.5%/55 8th/[763,776) 8.27 9.02 11.28 8.27 12.78 17.29 7.52 9.02 9.77 6.77 10.8%/50 −5
9th/[774,791) 5.86 5.44 7.11 8.79 10.46 12.97 15.06 8.37 14.64 11.30 13.9%/58 9th/[776,793) 11.18 8.70 6.83 9.32 14.91 11.18 8.07 15.53 6.21 8.07 13.1%/49 −9
10th/[791,850] 6.78 8.14 11.53 11.53 7.12 8.14 8.81 12.20 14.24 11.53 17.1%/56 10th/[793,850] 10.50 12.79 11.42 10.96 12.79 10.05 9.59 8.68 7.76 5.48 17.9%/42 −14
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 45 Median SGP: 39 Median SGP Difference: −6
Mean Scale Score: 735 Mean Scale Score: 732 Mean Scale Score Difference: −3
Percent Proficient: 32.6% SGP Count: 19616 Percent Proficient: 28.4% SGP Count: 13525 Percent Proficient Difference: −4.2%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Hispanic or Latino
1st/[650,684) 9.32 10.41 9.88 10.68 10.25 10.25 9.72 10.28 10.15 9.06 15.5%/49 1st/[650,688) 6.85 8.71 9.06 9.19 10.83 12.00 12.18 12.65 10.75 7.80 17.1%/54 5
2nd/[684,703) 10.06 10.26 11.78 9.37 10.69 10.79 10.23 9.96 9.30 7.56 15.5%/48 2nd/[688,706) 10.95 11.73 13.49 11.59 11.10 12.41 10.56 6.91 6.04 5.21 15.2%/42 −6
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[703,717) 10.21 10.58 10.51 10.07 9.33 10.98 10.29 9.99 8.78 9.26 13.9%/49 3rd/[706,719) 13.42 13.24 13.42 11.28 11.10 10.82 8.10 7.92 6.30 4.40 12.8%/38 −11
4th/[717,729) 10.93 10.98 11.87 10.83 11.30 8.53 10.83 9.56 7.96 7.21 10.8%/44 4th/[719,731) 14.96 12.86 13.37 10.77 10.58 10.01 9.44 7.16 5.51 5.32 11.7%/37 −7
5th/[729,740) 10.71 10.90 12.14 10.85 10.48 9.38 9.06 9.38 9.24 7.86 11.1%/44 5th/[731,742) 16.34 13.50 12.49 10.87 9.39 9.72 8.64 7.36 6.41 5.27 11%/37 −7
6th/[740,751) 11.68 13.39 11.07 9.64 10.47 10.69 9.26 7.99 8.26 7.55 9.3%/43 6th/[742,752) 17.43 15.23 13.03 9.68 10.21 8.54 8.19 6.87 6.51 4.31 8.4%/33 −10
7th/[751,761) 12.28 11.80 12.49 9.72 10.55 10.20 8.67 9.65 7.56 7.08 7.3%/43 7th/[752,763) 18.74 14.40 12.17 11.50 11.88 8.89 7.05 5.60 6.28 3.48 7.7%/33 −10
8th/[761,774) 13.48 12.17 10.86 10.17 9.32 10.09 9.63 7.78 8.55 7.94 6.6%/44 8th/[763,776) 21.53 14.46 11.05 11.50 11.39 8.88 7.52 6.72 3.30 3.64 6.5%/32 −12
9th/[774,791) 13.75 12.32 11.40 10.65 9.72 9.56 8.21 8.89 7.04 8.47 6.1%/41 9th/[776,793) 21.56 15.69 11.60 10.50 9.55 7.91 7.50 6.55 5.87 3.27 5.4%/30 −11
10th/[791,850] 14.43 13.28 11.11 11.11 10.22 9.96 8.43 9.45 6.51 5.49 4%/40 10th/[793,850] 23.95 16.19 12.82 11.64 7.93 8.77 5.06 6.07 4.22 3.37 4.4%/27 −13
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 53 Median SGP: 49 Median SGP Difference: −4
Mean Scale Score: 757 Mean Scale Score: 756 Mean Scale Score Difference: −1
Percent Proficient: 61% SGP Count: 30076 Percent Proficient: 60% SGP Count: 22975 Percent Proficient Difference: −1%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,684) 9.63 10.34 9.89 8.29 9.89 9.51 9.57 10.02 9.70 13.17 5.2%/52 1st/[650,688) 3.95 7.59 8.54 8.38 8.62 11.23 10.83 12.02 14.23 14.62 5.5%/62 10
2nd/[684,703) 7.72 9.06 9.26 9.51 11.35 9.51 10.21 9.56 11.01 12.80 6.7%/53 2nd/[688,706) 7.83 7.01 9.55 9.24 10.64 11.66 9.75 10.51 12.36 11.46 6.8%/54 1
White
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[703,717) 8.69 8.98 8.65 9.57 8.94 9.91 10.04 10.12 11.77 13.33 7.9%/55 3rd/[706,719) 8.82 8.76 11.11 9.82 11.29 10.23 9.94 9.70 9.70 10.64 7.4%/50 −5
4th/[717,729) 8.43 10.20 8.19 9.09 9.87 10.20 9.95 10.20 11.15 12.71 8.1%/54 4th/[719,731) 7.78 10.51 9.63 9.03 10.00 10.56 10.32 11.30 9.77 11.11 9.4%/52 −2
5th/[729,740) 8.31 9.02 9.51 9.83 9.51 10.84 10.16 10.55 10.16 12.11 10.2%/53 5th/[731,742) 9.22 9.56 9.48 9.48 10.07 10.24 10.74 10.32 9.98 10.91 10.3%/52 −1
6th/[740,751) 8.58 9.04 8.92 9.80 9.80 10.36 10.29 10.32 10.78 12.10 10.9%/54 6th/[742,752) 10.26 8.65 10.34 10.13 9.39 9.04 10.34 10.95 10.73 10.17 10%/51 −3
7th/[751,761) 7.85 9.09 9.24 10.16 10.04 9.00 11.23 10.79 11.11 11.47 11.2%/53
8th/[761,774) 8.43 8.92 9.39 10.25 10.55 10.08 10.08 10.80 10.44 11.05 12%/52
Colorado SGP Calculations 2021 7th/[752,763) 9.49 9.08 11.33 8.71 10.32 10.58 9.57 9.87 10.62 10.43 11.6%/51
8th/[763,776) 10.28 9.80 9.97 9.53 11.06 11.20 10.52 10.72 8.92 8.00 12.8%/49
9th/[774,791) 8.84 9.10 10.21 9.55 10.00 10.31 9.88 10.52 10.28 11.32 14%/52 9th/[776,793) 10.73 10.58 9.87 12.01 10.80 10.05 10.58 9.87 8.52 6.99 12.2%/46 −6
10th/[791,850] 8.23 9.26 9.50 10.25 10.22 9.69 10.65 10.37 10.65 11.18 13.8%/52 10th/[793,850] 13.80 13.49 11.24 11.83 11.24 8.86 8.11 8.83 7.42 5.20 13.9%/39 −13
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Colorado Covid Academic Impact Analyses: ELA Grade 7
Pre−Covid (2019) Results Covid (2021) Results Covid Impact (2021 − 2019) Results
Growth by Prior
Median SGP: 50 Median SGP: 40 Median SGP Difference: −10
Mean Scale Score: 746 Mean Scale Score: 743 Mean Scale Score Difference: −3
Percent Proficient: 47.1% SGP Count: 55057 Percent Proficient: 43.2% SGP Count: 39035 Percent Proficient Difference: −3.9%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Score Decile &
1st/[650,699) 9.58 10.00 9.54 10.38 9.92 9.82 10.20 9.94 9.96 10.68 9.1%/50 1st/[650,702) 10.67 11.40 11.69 10.61 10.86 9.69 9.29 10.05 8.83 6.91 9.5%/44 −6
Full Population
2nd/[699,716) 9.48 10.24 10.23 9.64 9.88 10.07 9.57 10.12 9.79 10.99 10.5%/50 2nd/[702,718) 10.97 11.36 10.92 11.96 10.79 10.84 10.82 9.00 8.12 5.21 9.9%/44 −6
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[716,728) 9.86 10.07 9.65 9.82 10.29 9.41 10.54 10.16 9.97 10.24 9.7%/50 3rd/[718,730) 10.30 11.98 12.50 12.50 11.70 10.14 9.96 7.99 7.37 5.55 9.9%/42 −8
4th/[728,738) 9.01 9.78 9.72 9.97 10.31 10.76 9.47 9.96 10.06 10.95 10.2%/51 4th/[730,740) 9.93 13.72 12.86 12.34 11.46 10.04 9.47 8.12 6.64 5.42 9.9%/40 −11
5th/[738,747) 9.51 10.11 10.36 10.33 9.38 9.34 10.20 10.11 10.20 10.46 10%/50 5th/[740,749) 10.71 14.97 12.93 12.68 10.84 9.26 8.95 7.04 7.12 5.51 10%/38 −12
Ethnicity:
6th/[747,755) 9.86 9.59 9.70 9.88 9.90 10.48 10.17 10.46 9.99 9.99 9.9%/51 6th/[749,758) 12.67 14.08 13.63 11.86 10.47 9.87 8.07 7.72 6.96 4.67 10.2%/37 −14
7th/[755,764) 9.03 9.97 10.35 10.09 10.40 9.55 10.16 9.73 9.71 11.01 10%/50 7th/[758,767) 13.32 13.47 12.95 10.19 10.26 10.31 8.93 8.53 7.10 4.94 10.2%/40 −10
8th/[764,774) 9.28 10.10 9.99 9.70 9.88 10.38 9.61 9.84 10.45 10.78 9.9%/51 8th/[767,777) 13.68 13.42 12.78 10.55 10.45 10.75 8.06 7.62 6.88 5.80 10%/39 −12
9th/[774,788) 9.71 9.95 9.91 9.93 10.14 9.69 10.16 10.03 10.16 10.33 10.5%/50 9th/[777,791) 15.79 12.05 12.49 10.65 10.04 9.70 7.43 9.26 7.11 5.47 10.5%/38 −12
10th/[788,850] 9.53 9.97 10.04 10.19 9.85 10.22 9.94 10.01 9.69 10.56 10.2%/50 10th/[791,850] 17.35 15.02 11.18 9.98 9.90 9.01 9.11 6.83 6.53 5.09 10%/36 −14
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
ELA - Grade 7
Median SGP: 44 Median SGP: 41 Median SGP Difference: −3
Mean Scale Score: 730 Mean Scale Score: 730 Mean Scale Score Difference: 0
Percent Proficient: 30.9% SGP Count: 2339 Percent Proficient: 29.9% SGP Count: 1339 Percent Proficient Difference: −1%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
African American
1st/[650,699) 12.14 9.30 10.59 12.66 11.63 9.56 6.46 11.37 8.53 7.75 16.5%/45 1st/[650,702) 12.17 8.70 10.87 8.70 10.87 10.43 10.87 10.00 11.74 5.65 17.2%/49 4
2nd/[699,716) 12.54 8.96 14.33 12.24 10.15 9.55 8.36 9.25 3.88 10.75 14.3%/42 2nd/[702,718) 10.24 16.27 9.04 13.25 12.65 5.42 13.25 9.64 7.23 3.01 12.4%/42 0
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[716,728) 13.93 10.36 10.36 10.00 13.21 6.79 12.14 6.79 8.57 7.86 12%/43 3rd/[718,730) 14.53 11.73 7.82 10.06 13.41 11.73 8.38 7.82 9.50 5.03 13.4%/44 1
4th/[728,738) 11.20 9.65 13.51 5.79 13.13 12.36 8.49 10.81 6.56 8.49 11.1%/47 4th/[730,740) 14.84 14.19 12.26 11.61 10.97 9.03 7.74 7.74 6.45 5.16 11.6%/38 −9
5th/[738,747) 11.27 13.45 10.91 10.91 9.82 6.55 10.91 8.00 8.73 9.45 11.8%/44 5th/[740,749) 12.59 20.28 11.89 5.59 16.08 4.90 8.39 9.79 5.59 4.90 10.7%/37 −7
6th/[747,755) 15.93 9.34 9.34 11.54 9.34 6.04 10.44 10.44 9.89 7.69 7.8%/43 6th/[749,758) 15.60 11.35 11.35 11.35 12.06 9.22 7.09 10.64 5.67 5.67 10.5%/40 −3
7th/[755,764) 13.21 15.09 6.60 12.74 10.85 8.96 7.08 9.43 7.55 8.49 9.1%/43 7th/[758,767) 15.09 10.38 10.38 14.15 5.66 8.49 16.04 11.32 5.66 2.83 7.9%/39.5 −3.5
8th/[764,774) 14.19 6.76 11.49 12.16 7.43 10.81 10.14 6.76 7.43 12.84 6.3%/47.5 8th/[767,777) 11.22 15.31 12.24 11.22 10.20 13.27 11.22 6.12 4.08 5.10 7.3%/39.5 −8
9th/[774,788) 12.84 10.81 14.19 10.81 6.76 6.76 11.49 11.49 4.73 10.14 6.3%/42.5 9th/[777,791) 15.07 10.96 13.70 5.48 6.85 10.96 9.59 10.96 9.59 6.85 5.5%/42 −0.5
10th/[788,850] 23.01 8.85 8.85 7.96 12.39 16.81 6.19 3.54 4.42 7.96 4.8%/41 10th/[791,850] 18.75 22.92 4.17 12.50 10.42 4.17 12.50 8.33 6.25 0.00 3.6%/35.5 −5.5
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 64 Median SGP: 56 Median SGP Difference: −8
Mean Scale Score: 766 Mean Scale Score: 762 Mean Scale Score Difference: −4
Percent Proficient: 67.1% SGP Count: 1719 Percent Proficient: 66.3% SGP Count: 1156 Percent Proficient Difference: −0.799999999999997%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,699) 8.74 1.94 5.83 4.85 5.83 12.62 10.68 13.59 12.62 23.30 6%/69 1st/[650,702) 1.49 10.45 10.45 8.96 8.96 8.96 10.45 14.93 14.93 10.45 5.8%/60 −9
2nd/[699,716) 7.27 5.45 3.64 9.09 3.64 9.09 9.09 15.45 14.55 22.73 6.4%/70 2nd/[702,718) 10.81 2.70 9.46 6.76 9.46 12.16 10.81 10.81 6.76 20.27 6.4%/58 −12
Asian
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[716,728) 3.16 4.21 3.16 7.37 21.05 9.47 10.53 9.47 11.58 20.00 5.5%/62 3rd/[718,730) 6.06 1.52 10.61 1.52 10.61 3.03 19.70 16.67 13.64 16.67 5.7%/67 5
4th/[728,738) 3.03 7.58 6.06 10.61 9.85 13.64 6.06 8.33 17.42 17.42 7.7%/59 4th/[730,740) 6.02 10.84 8.43 13.25 4.82 4.82 10.84 18.07 10.84 12.05 7.2%/62 3
5th/[738,747) 5.13 8.97 6.41 8.97 7.69 12.18 7.69 9.62 14.74 18.59 9.1%/60 5th/[740,749) 7.29 9.38 8.33 11.46 8.33 6.25 13.54 7.29 14.58 13.54 8.3%/58.5 −1.5
6th/[747,755) 2.78 4.86 10.42 7.64 5.56 6.25 6.94 11.11 18.75 25.69 8.4%/74.5 6th/[749,758) 4.00 7.00 14.00 10.00 8.00 9.00 13.00 11.00 12.00 12.00 8.7%/59 −15.5
7th/[755,764) 6.45 6.45 8.06 5.38 9.14 9.14 10.22 10.22 12.90 22.04 10.8%/63 7th/[758,767) 7.75 7.75 10.85 5.43 9.30 7.75 13.18 14.73 13.18 10.08 11.2%/62 −1
8th/[764,774) 5.39 7.84 7.35 7.84 8.82 12.25 8.33 10.78 13.24 18.14 11.9%/60 8th/[767,777) 6.90 14.48 7.59 13.79 6.21 12.41 7.59 8.97 14.48 7.59 12.5%/51 −9
9th/[774,788) 4.91 6.42 7.17 6.42 7.17 10.57 11.32 15.09 13.58 17.36 15.4%/65 9th/[777,791) 6.35 8.99 10.05 6.88 11.64 10.05 9.52 16.40 11.11 8.99 16.3%/56 −9
10th/[788,850] 4.63 8.02 7.41 7.72 9.26 9.57 11.42 11.73 13.58 16.67 18.8%/62 10th/[791,850] 8.21 14.98 9.18 9.66 10.14 13.53 9.66 8.70 8.21 7.73 17.9%/47 −15
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 47 Median SGP: 37 Median SGP Difference: −10
Mean Scale Score: 731 Mean Scale Score: 728 Mean Scale Score Difference: −3
Percent Proficient: 30.3% SGP Count: 19663 Percent Proficient: 25.5% SGP Count: 13574 Percent Proficient Difference: −4.8%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Hispanic or Latino
1st/[650,699) 9.08 9.31 9.79 10.64 10.47 9.72 10.64 9.35 10.27 10.71 14.9%/50 1st/[650,702) 11.46 11.84 11.79 11.84 11.17 9.94 9.23 9.33 7.29 6.11 15.6%/42 −8
2nd/[699,716) 9.23 10.59 9.75 9.65 10.43 10.04 10.04 10.14 9.78 10.36 15.8%/50 2nd/[702,718) 12.27 11.54 11.78 12.81 10.17 11.44 10.46 7.48 7.82 4.21 15.1%/41 −9
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[716,728) 10.21 10.49 10.06 11.03 9.86 9.43 10.60 9.32 10.14 8.85 13%/48 3rd/[718,730) 11.19 14.05 13.40 12.33 11.89 10.28 9.53 7.10 6.57 3.66 13.7%/39 −9
4th/[728,738) 10.99 10.66 9.75 10.95 9.46 11.24 9.38 9.54 8.92 9.13 12.3%/47 4th/[730,740) 10.79 15.07 13.56 12.12 11.81 11.09 8.80 7.72 5.85 3.19 12.2%/38 −9
5th/[738,747) 11.30 11.11 11.11 10.59 8.84 9.17 10.45 9.79 9.13 8.51 10.8%/46 5th/[740,749) 13.14 15.57 14.76 13.14 9.97 8.76 8.76 6.27 5.66 3.98 10.9%/35 −11
6th/[747,755) 12.21 10.89 10.40 9.52 11.00 10.67 9.96 9.74 8.20 7.43 9.2%/46 6th/[749,758) 15.42 15.81 15.02 12.38 9.82 10.62 6.15 6.39 4.95 3.43 9.2%/33 −13
7th/[755,764) 10.97 10.90 11.37 10.77 9.88 9.14 10.36 9.28 8.80 8.53 7.5%/45 7th/[758,767) 15.72 15.72 13.49 10.23 10.42 8.65 7.72 8.65 6.14 3.26 7.9%/34 −11
8th/[764,774) 11.81 12.63 11.22 10.03 9.36 10.62 8.10 8.84 8.62 8.77 6.8%/44 8th/[767,777) 17.33 16.44 15.00 10.78 10.33 8.56 7.33 4.56 5.44 4.22 6.6%/30 −14
9th/[774,788) 13.00 11.84 10.22 10.31 9.87 8.97 9.06 9.42 9.06 8.25 5.7%/44 9th/[777,791) 18.72 13.90 13.90 10.64 9.36 8.65 5.11 8.79 6.52 4.40 5.2%/33 −11
10th/[788,850] 12.48 11.07 10.68 10.42 10.04 9.40 8.75 9.91 7.98 9.27 4%/45 10th/[791,850] 22.93 17.15 12.19 8.88 10.12 8.68 6.82 4.96 4.34 3.93 3.6%/27 −18
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 52 Median SGP: 41 Median SGP Difference: −11
Mean Scale Score: 755 Mean Scale Score: 752 Mean Scale Score Difference: −3
Percent Proficient: 58.4% SGP Count: 28609 Percent Proficient: 54% SGP Count: 21053 Percent Proficient Difference: −4.4%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,699) 9.39 11.21 8.66 9.75 8.81 10.19 10.19 10.99 9.90 10.92 4.8%/52 1st/[650,702) 8.83 11.56 11.56 9.27 10.59 9.53 8.91 11.03 10.15 8.56 5.4%/48 −4
2nd/[699,716) 9.64 10.15 10.41 9.34 9.54 10.41 9.34 9.80 10.30 11.07 6.9%/50.5 2nd/[702,718) 8.78 10.54 10.12 10.76 11.54 10.76 11.39 10.69 8.92 6.51 6.7%/48 −2.5
White
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[716,728) 8.94 10.16 9.17 8.33 10.25 9.74 10.30 11.62 9.88 11.62 7.4%/53 3rd/[718,730) 9.07 10.26 11.76 13.08 11.39 10.20 10.26 8.82 8.01 7.13 7.6%/45 −8
4th/[728,738) 7.33 9.17 9.48 9.87 10.66 10.03 9.76 10.23 11.01 12.46 8.9%/53 4th/[730,740) 8.69 12.46 12.69 12.58 11.39 9.76 9.81 8.18 7.22 7.22 8.4%/42 −11
5th/[738,747) 8.13 8.95 10.00 9.93 10.04 9.63 10.19 10.67 10.71 11.76 9.3%/52 5th/[740,749) 9.05 14.73 11.96 12.51 11.07 9.84 9.00 7.46 7.81 6.57 9.6%/41 −11
6th/[747,755) 8.39 9.20 9.07 10.11 9.62 10.79 10.37 10.96 10.66 10.83 10.8%/53 6th/[749,758) 11.11 13.32 13.45 11.81 10.75 9.65 8.94 8.23 7.83 4.91 10.7%/40 −13
7th/[755,764) 7.97 9.63 10.34 9.84 10.70 9.81 10.34 9.87 9.96 11.53 11.8%/51
8th/[764,774) 8.56 9.43 9.49 9.46 10.09 10.47 10.09 9.98 11.02 11.42 12.1%/52
Colorado SGP Calculations 2021 7th/[758,767) 12.29 12.94 13.06 10.13 10.54 11.11 8.99 8.14 7.32 5.49 11.7%/41
8th/[767,777) 13.00 12.19 12.73 9.78 10.64 11.30 8.35 8.62 7.14 6.25 12.2%/41.5
9th/[774,788) 8.93 9.56 10.14 9.94 10.44 10.01 10.29 9.81 10.54 10.34 13.8%/50 9th/[777,791) 15.79 11.75 12.03 11.07 10.20 10.03 7.72 9.10 6.72 5.58 13.8%/39 −11
10th/[788,850] 9.10 9.97 10.09 10.65 9.89 10.46 9.94 10.06 9.72 10.11 14.2%/50 10th/[791,850] 16.86 14.67 11.17 9.97 10.08 8.64 9.53 7.09 6.92 5.07 13.9%/37 −13
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Colorado Covid Academic Impact Analyses: MATHEMATICS Grade 6
Pre−Covid (2019) Results Covid (2021) Results Covid Impact (2021 − 2019) Results
Growth by Prior
Median SGP: 50 Median SGP: 33 Median SGP Difference: −17
Mean Scale Score: 733 Mean Scale Score: 727 Mean Scale Score Difference: −6
Percent Proficient: 29.9% SGP Count: 57419 Percent Proficient: 24.4% SGP Count: 40775 Percent Proficient Difference: −5.5%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Score Decile &
1st/[650,693) 9.73 9.80 10.17 10.19 10.06 9.65 10.13 9.76 9.80 10.72 9.5%/50 1st/[650,695) 21.57 13.91 11.33 10.05 9.84 9.14 7.53 6.50 5.12 5.00 9.8%/33 −17
Full Population
2nd/[693,706) 9.61 10.02 9.94 10.27 9.45 10.60 9.69 10.09 10.09 10.25 9%/50 2nd/[695,708) 23.89 14.80 11.16 10.39 8.59 7.17 6.69 6.45 5.68 5.17 10.2%/30 −20
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[706,718) 9.15 10.02 10.04 9.58 10.22 9.59 10.53 10.15 9.99 10.73 11.4%/50 3rd/[708,718) 21.00 15.26 10.86 9.88 8.78 7.77 8.01 6.59 6.07 5.77 9.5%/33 −17
4th/[718,727) 9.49 9.83 9.81 9.64 10.27 10.42 9.62 9.96 10.18 10.77 9.4%/50 4th/[718,727) 19.99 13.17 11.79 9.74 8.53 8.61 8.28 7.07 7.10 5.72 9.6%/35 −15
5th/[727,736) 9.49 10.03 10.21 10.41 9.53 9.82 10.34 9.91 10.03 10.23 9.6%/50 5th/[727,736) 18.82 12.73 11.74 10.15 9.39 9.66 8.49 6.88 6.29 5.84 9.9%/36 −14
Ethnicity:
6th/[736,745) 9.83 10.18 9.73 10.40 10.19 9.67 9.83 10.02 9.52 10.64 11%/49 6th/[736,746) 18.93 13.32 11.54 10.29 9.62 8.46 8.53 7.57 6.28 5.46 11%/35 −14
7th/[745,754) 9.10 9.46 10.20 9.85 10.47 10.03 10.14 9.96 9.85 10.94 9.7%/50 7th/[746,755) 19.18 13.88 12.07 10.11 9.44 9.00 6.77 7.34 5.89 6.31 9.5%/34 −16
8th/[754,765) 9.31 9.96 10.07 9.63 9.29 10.49 9.86 10.33 10.84 10.22 10.4%/51 8th/[755,765) 21.66 15.18 11.90 10.49 8.35 8.80 7.06 6.18 4.99 5.37 9.7%/31 −20
9th/[765,779) 10.05 10.50 9.42 9.72 10.52 9.77 10.15 9.75 9.56 10.57 10%/49 9th/[765,779) 21.32 15.04 11.20 9.64 8.39 7.88 7.36 6.51 6.06 6.60 10.4%/32 −17
10th/[779,850] 9.19 9.89 10.20 10.32 9.84 9.86 10.04 10.13 10.16 10.37 10.1%/50 10th/[779,850] 22.50 13.98 11.32 9.09 8.45 7.34 7.37 6.21 7.51 6.21 10.4%/32 −18
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Mathematics -
Median SGP: 44 Median SGP: 24 Median SGP Difference: −20
Mean Scale Score: 718 Mean Scale Score: 713 Mean Scale Score Difference: −5
Percent Proficient: 14% SGP Count: 2520 Percent Proficient: 11.5% SGP Count: 1393 Percent Proficient Difference: −2.5%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Grade 6 African American
1st/[650,693) 9.13 11.41 11.41 10.37 8.71 11.00 8.92 10.37 8.71 9.96 19.1%/48 1st/[650,695) 26.13 15.32 13.96 12.61 9.91 6.76 6.76 5.41 2.25 0.90 15.9%/24.5 −23.5
2nd/[693,706) 14.37 12.19 8.12 12.19 9.69 8.75 9.06 9.69 10.31 5.62 12.7%/43 2nd/[695,708) 30.05 15.02 12.21 12.68 8.45 7.04 6.57 2.82 2.35 2.82 15.3%/23 −20
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[706,718) 10.33 13.60 9.32 9.07 11.34 8.82 9.82 8.56 8.31 10.83 15.8%/46 3rd/[708,718) 26.24 19.15 5.67 9.93 7.80 9.22 7.09 4.96 5.67 4.26 10.1%/29 −17
4th/[718,727) 11.16 14.74 13.94 9.16 6.77 10.36 7.17 10.76 7.17 8.76 10%/40 4th/[718,727) 25.15 17.18 15.34 11.04 11.04 7.98 4.29 2.45 3.68 1.84 11.7%/24 −16
5th/[727,736) 12.89 9.77 12.89 9.38 8.98 7.81 10.55 8.98 9.77 8.98 10.2%/43.5 5th/[727,736) 21.32 14.71 17.65 12.50 11.03 7.35 7.35 3.68 2.21 2.21 9.8%/27 −16.5
6th/[736,745) 14.87 11.90 9.67 10.04 11.15 8.18 8.18 7.81 7.43 10.78 10.7%/43 6th/[736,746) 24.38 18.12 10.62 10.62 8.12 10.00 8.75 4.38 2.50 2.50 11.5%/26.5 −16.5
7th/[745,754) 13.40 13.92 9.28 11.34 8.76 11.86 13.92 3.61 7.22 6.70 7.7%/42 7th/[746,755) 30.10 12.62 13.59 13.59 5.83 6.80 3.88 9.71 0.97 2.91 7.4%/22 −20
8th/[754,765) 14.72 7.98 10.43 9.20 12.88 14.11 8.59 6.13 6.75 9.20 6.5%/46 8th/[755,765) 19.15 29.79 9.57 10.64 5.32 9.57 3.19 6.38 3.19 3.19 6.7%/20 −26
9th/[765,779) 14.52 16.94 11.29 8.87 8.06 6.45 5.65 11.29 7.26 9.68 4.9%/38 9th/[765,779) 30.59 20.00 14.12 7.06 7.06 2.35 7.06 4.71 4.71 2.35 6.1%/18 −20
10th/[779,850] 15.62 9.38 7.81 9.38 20.31 7.81 10.94 4.69 7.81 6.25 2.5%/44 10th/[779,850] 28.95 19.74 10.53 5.26 9.21 5.26 7.89 3.95 6.58 2.63 5.5%/20 −24
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 62 Median SGP: 44 Median SGP Difference: −18
Mean Scale Score: 752 Mean Scale Score: 748 Mean Scale Score Difference: −4
Percent Proficient: 55.7% SGP Count: 1745 Percent Proficient: 49.6% SGP Count: 1227 Percent Proficient Difference: −6.1%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,693) 11.11 6.94 8.33 13.89 11.11 6.94 9.72 6.94 13.89 11.11 4.1%/49 1st/[650,695) 18.75 22.92 10.42 8.33 8.33 8.33 4.17 2.08 8.33 8.33 3.9%/27.5 −21.5
2nd/[693,706) 4.76 13.10 11.90 5.95 9.52 13.10 9.52 15.48 8.33 8.33 4.8%/52 2nd/[695,708) 21.54 15.38 6.15 10.77 6.15 7.69 6.15 9.23 6.15 10.77 5.3%/35 −17
Asian
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[706,718) 9.40 7.69 5.13 8.55 5.13 3.42 16.24 14.53 11.97 17.95 6.7%/67 3rd/[708,718) 9.52 17.46 6.35 12.70 14.29 9.52 6.35 7.94 6.35 9.52 5.1%/46 −21
4th/[718,727) 8.33 8.33 7.50 5.83 7.50 9.17 8.33 11.67 14.17 19.17 6.9%/61 4th/[718,727) 17.65 14.71 10.29 11.76 13.24 1.47 4.41 7.35 7.35 11.76 5.5%/35.5 −25.5
5th/[727,736) 2.56 8.55 6.84 6.84 7.69 12.82 13.68 8.55 13.68 18.80 6.7%/64 5th/[727,736) 17.78 11.11 12.22 6.67 6.67 11.11 8.89 3.33 10.00 12.22 7.3%/41 −23
6th/[736,745) 7.79 10.39 9.09 7.79 11.69 9.74 4.55 5.84 11.69 21.43 8.8%/52 6th/[736,746) 14.91 13.16 12.28 7.89 11.40 6.14 9.65 10.53 6.14 7.89 9.3%/40.5 −11.5
7th/[745,754) 3.33 6.67 7.22 7.78 14.44 8.33 7.22 11.67 13.89 19.44 10.3%/64 7th/[746,755) 13.21 3.77 16.04 9.43 10.38 11.32 7.55 7.55 8.49 12.26 8.6%/48 −16
8th/[754,765) 5.83 5.83 9.87 6.28 7.17 8.52 12.11 11.21 16.14 17.04 12.8%/66 8th/[755,765) 13.97 12.50 11.03 13.24 7.35 10.29 8.09 6.62 5.15 11.76 11.1%/38.5 −27.5
9th/[765,779) 4.44 5.24 5.65 8.87 8.06 11.69 9.68 12.10 12.90 21.37 14.2%/66 9th/[765,779) 13.33 15.24 7.14 8.57 9.52 6.67 10.00 9.52 7.62 12.38 17.1%/45 −21
10th/[779,850] 5.81 6.74 6.98 10.93 9.53 9.53 9.77 10.47 13.72 16.51 24.6%/60.5 10th/[779,850] 11.62 10.40 9.17 9.79 7.65 8.87 8.87 9.17 10.09 14.37 26.7%/51 −9.5
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 46 Median SGP: 27 Median SGP Difference: −19
Mean Scale Score: 720 Mean Scale Score: 713 Mean Scale Score Difference: −7
Percent Proficient: 14.9% SGP Count: 20905 Percent Proficient: 10.3% SGP Count: 14205 Percent Proficient Difference: −4.6%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Hispanic or Latino
1st/[650,693) 11.27 10.14 10.21 10.46 10.39 9.11 9.89 9.27 9.61 9.64 15.3%/47 1st/[650,695) 23.39 14.64 11.39 10.05 10.05 9.18 6.41 6.02 4.76 4.11 16.3%/30 −17
2nd/[693,706) 10.58 10.86 10.79 10.79 9.48 10.29 9.34 9.27 9.06 9.55 13.5%/47 2nd/[695,708) 26.41 15.55 12.12 11.22 8.29 6.64 6.24 5.43 4.68 3.43 15.8%/26 −21
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[706,718) 10.50 11.21 10.62 9.66 9.91 9.32 10.56 9.60 9.20 9.41 15.4%/48 3rd/[708,718) 24.47 16.68 11.92 8.58 9.00 7.79 7.26 5.24 5.14 3.92 13.3%/27 −21
4th/[718,727) 11.44 10.75 10.34 9.53 10.22 10.39 9.33 8.80 10.14 9.05 11.8%/48 4th/[718,727) 23.84 14.94 12.50 8.78 8.66 7.44 8.48 5.73 5.30 4.33 11.5%/28 −20
5th/[727,736) 11.61 10.51 10.51 10.28 9.51 10.10 9.46 10.37 8.73 8.91 10.5%/47 5th/[727,736) 23.60 13.57 12.77 10.29 9.29 8.62 7.49 6.22 4.75 3.41 10.5%/30 −17
6th/[736,745) 11.83 10.65 10.74 10.70 9.94 9.99 10.13 9.66 8.25 8.11 10.2%/46 6th/[736,746) 24.31 15.17 11.69 9.64 9.21 7.58 6.66 6.52 5.39 3.83 9.9%/28 −18
7th/[745,754) 11.52 10.89 11.21 10.08 12.15 9.01 10.39 8.88 8.82 7.05 7.6%/45 7th/[746,755) 24.85 16.96 12.72 9.76 8.58 7.69 6.71 5.03 4.24 3.45 7.1%/26 −19
8th/[754,765) 12.32 12.39 11.18 9.47 7.83 10.90 10.40 8.90 9.62 6.98 6.7%/45 8th/[755,765) 29.79 16.83 12.96 10.19 5.20 7.64 5.76 4.10 3.65 3.88 6.4%/22 −23
9th/[765,779) 15.20 11.62 11.97 8.73 10.74 10.83 9.78 8.21 6.72 6.20 5.5%/41 9th/[765,779) 30.86 15.36 8.87 9.27 8.87 5.96 7.28 4.37 4.50 4.64 5.3%/24 −17
10th/[779,850] 15.48 12.38 10.09 10.63 9.42 7.54 8.48 9.29 9.02 7.67 3.6%/41 10th/[779,850] 31.07 14.89 13.42 7.90 9.19 5.51 4.04 3.49 6.25 4.23 3.8%/22 −19
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 53 Median SGP: 37 Median SGP Difference: −16
Mean Scale Score: 742 Mean Scale Score: 736 Mean Scale Score Difference: −6
Percent Proficient: 40.4% SGP Count: 29220 Percent Proficient: 32.6% SGP Count: 21946 Percent Proficient Difference: −7.8%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,693) 6.82 9.02 8.68 9.44 9.85 10.74 10.95 10.40 10.61 13.50 5%/56 1st/[650,695) 17.16 12.17 11.04 9.75 10.15 9.51 9.11 7.57 6.37 7.17 5.7%/39 −17
2nd/[693,706) 7.33 8.00 8.37 9.22 9.59 11.97 9.77 11.24 12.03 12.46 5.6%/56 2nd/[695,708) 19.17 13.38 9.52 9.10 9.45 7.86 7.45 8.41 7.72 7.93 6.6%/38 −18
White
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[706,718) 7.04 8.01 9.72 9.56 10.29 10.74 10.66 10.82 11.07 12.08 8.4%/55 3rd/[708,718) 17.23 12.87 10.39 11.38 8.27 7.71 9.02 8.21 7.09 7.84 7.3%/38 −17
4th/[718,727) 7.50 8.73 9.00 9.92 10.79 10.44 10.18 11.28 10.27 11.89 7.8%/53 4th/[718,727) 15.75 11.68 11.19 10.21 8.20 9.72 8.53 8.58 8.96 7.17 8.4%/41 −12
5th/[727,736) 7.82 9.76 9.80 10.59 9.50 9.39 10.62 9.95 11.15 11.41 9.1%/53 5th/[727,736) 15.50 11.68 10.88 10.13 9.33 10.27 9.42 7.96 7.44 7.40 9.7%/42 −11
6th/[736,745) 8.27 9.74 9.09 10.18 10.00 9.82 10.00 10.67 10.38 11.85 11.7%/52 6th/[736,746) 15.63 11.80 11.61 10.87 9.83 9.01 9.52 8.32 6.89 6.54 11.8%/40 −12
7th/[745,754) 7.86 8.71 9.93 9.87 9.26 10.60 10.39 10.63 10.05 12.68 11.2%/53
8th/[754,765) 8.22 9.18 9.49 9.96 9.70 10.50 9.70 11.13 11.13 11.00 13.2%/53
Colorado SGP Calculations 2021 7th/[746,755) 16.51 13.19 11.43 10.08 10.08 9.38 6.92 8.28 6.60 7.54 11.1%/39
8th/[755,765) 19.67 14.23 11.76 10.65 9.74 8.83 7.31 6.70 5.40 5.71 12%/33
9th/[765,779) 8.67 10.35 8.85 10.10 10.64 9.72 10.35 9.74 10.43 11.15 13.4%/51 9th/[765,779) 19.39 14.99 11.81 9.76 8.32 8.49 7.11 6.84 6.44 6.84 13.6%/33 −18
10th/[779,850] 8.51 9.92 10.47 10.35 9.90 10.18 10.14 10.30 10.09 10.14 14.6%/50 10th/[779,850] 22.08 13.78 11.42 9.38 8.53 7.61 7.45 6.69 7.28 5.77 13.9%/32 −18
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Colorado Covid Academic Impact Analyses: MATHEMATICS Grade 8
Pre−Covid (2019) Results Covid (2021) Results Covid Impact (2021 − 2019) Results
Growth by Prior
Median SGP: 50 Median SGP: 37 Median SGP Difference: −13
Mean Scale Score: 737 Mean Scale Score: 731 Mean Scale Score Difference: −6
Percent Proficient: 37.7% SGP Count: 51637 Percent Proficient: 30% SGP Count: 35647 Percent Proficient Difference: −7.7%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Score Decile &
1st/[650,692) 10.12 9.55 9.91 10.21 10.06 9.62 10.15 9.85 9.81 10.72 9.2%/50 1st/[650,695) 7.20 8.06 11.81 10.95 12.19 10.25 11.54 11.28 9.21 7.50 9.5%/49 −1
Full Population
2nd/[692,707) 9.27 9.98 9.95 9.63 10.26 10.51 9.81 10.06 10.25 10.28 10.3%/50 2nd/[695,707) 7.49 10.28 12.53 12.45 12.56 10.50 11.42 9.03 7.88 5.85 10.1%/46 −4
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[707,717) 9.35 10.09 10.17 10.07 9.72 9.59 10.13 10.23 9.72 10.93 9.9%/50 3rd/[707,716) 9.85 11.28 13.94 12.22 12.76 11.10 10.27 7.99 5.98 4.62 9.5%/42 −8
4th/[717,726) 9.45 9.54 10.21 9.75 10.43 9.86 9.71 9.69 10.64 10.71 10.4%/50 4th/[716,725) 11.97 13.44 15.23 12.48 12.24 10.66 7.35 7.00 5.29 4.33 10.5%/37 −13
5th/[726,734) 9.44 10.63 9.90 10.17 9.50 10.38 10.23 10.07 9.38 10.30 10.1%/50 5th/[725,733) 13.37 16.45 14.40 11.84 11.39 9.19 7.23 7.02 5.21 3.92 9.3%/34 −16
Ethnicity:
6th/[734,743) 9.83 9.15 9.59 10.01 10.19 9.43 9.89 10.69 10.57 10.65 9.7%/51 6th/[733,742) 16.94 16.41 14.09 11.18 10.19 9.47 6.70 6.50 4.29 4.23 10.1%/31 −20
7th/[743,752) 9.27 9.61 10.10 10.12 10.29 10.38 10.04 9.48 9.89 10.82 10.3%/50 7th/[742,751) 18.83 18.50 14.30 10.30 9.66 7.04 6.90 5.57 4.73 4.17 10%/29 −21
8th/[752,761) 9.63 11.03 10.13 9.89 9.78 9.76 9.22 9.98 9.74 10.82 9%/49 8th/[751,762) 20.46 15.74 12.91 10.77 8.93 7.31 6.89 6.73 4.86 5.39 10.6%/30 −19
9th/[761,776) 9.48 9.61 9.86 10.23 9.77 9.88 10.27 10.30 10.40 10.19 10.6%/51 9th/[762,775) 18.97 15.06 12.26 11.46 9.99 8.46 7.13 6.19 5.44 5.05 10.1%/32 −19
10th/[776,850] 9.52 9.74 10.02 9.93 10.09 10.15 10.07 10.13 9.83 10.52 10.5%/50 10th/[775,850] 19.17 15.47 10.02 10.95 8.80 8.22 7.57 7.60 6.54 5.66 10.3%/34 −16
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Mathematics -
Median SGP: 46 Median SGP: 35 Median SGP Difference: −11
Mean Scale Score: 716 Mean Scale Score: 713 Mean Scale Score Difference: −3
Percent Proficient: 19.3% SGP Count: 2261 Percent Proficient: 14.5% SGP Count: 1115 Percent Proficient Difference: −4.8%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Grade 8 African American
1st/[650,692) 11.58 8.46 10.24 12.25 11.80 10.24 9.35 9.80 8.91 7.35 19.9%/46 1st/[650,695) 7.14 8.10 9.52 14.29 12.38 10.48 12.86 13.33 8.10 3.81 18.8%/48 2
2nd/[692,707) 12.98 9.67 12.98 10.77 12.98 8.29 9.12 8.84 8.84 5.52 16%/44 2nd/[695,707) 10.22 15.59 14.52 12.90 11.29 11.29 6.99 10.22 3.76 3.23 16.7%/37 −7
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[707,717) 11.88 9.57 12.54 8.91 12.54 6.60 6.93 7.59 10.23 13.20 13.4%/45 3rd/[707,716) 14.96 9.45 16.54 14.96 11.02 11.81 9.45 6.30 2.36 3.15 11.4%/34 −11
4th/[717,726) 12.97 7.85 13.65 9.22 7.85 12.29 11.95 8.53 6.83 8.87 13%/47 4th/[716,725) 18.18 19.70 13.64 11.36 12.88 9.85 5.30 4.55 0.76 3.79 11.8%/26 −21
5th/[726,734) 12.05 12.05 13.84 9.38 8.93 12.50 11.61 4.91 8.48 6.25 9.9%/42 5th/[725,733) 9.78 19.57 13.04 20.65 13.04 7.61 4.35 6.52 2.17 3.26 8.3%/32.5 −9.5
6th/[734,743) 10.66 5.58 9.64 9.64 7.11 11.68 12.18 11.17 10.66 11.68 8.7%/55 6th/[733,742) 20.75 16.04 15.09 9.43 10.38 11.32 7.55 3.77 1.89 3.77 9.5%/28.5 −26.5
7th/[743,752) 8.64 10.49 8.02 12.35 12.35 7.41 8.64 8.64 12.35 11.11 7.2%/47.5 7th/[742,751) 24.39 18.29 14.63 8.54 6.10 13.41 6.10 1.22 3.66 3.66 7.4%/22 −25.5
8th/[752,761) 11.21 4.67 9.35 12.15 7.48 9.35 7.48 14.95 7.48 15.89 4.7%/55 8th/[751,762) 24.10 22.89 10.84 8.43 7.23 3.61 3.61 10.84 3.61 4.82 7.4%/21 −34
9th/[761,776) 10.71 9.82 15.18 7.14 7.14 10.71 7.14 10.71 6.25 15.18 5%/49 9th/[762,775) 20.34 18.64 8.47 15.25 6.78 11.86 3.39 3.39 8.47 3.39 5.3%/30 −19
10th/[776,850] 9.62 9.62 11.54 13.46 5.77 11.54 9.62 11.54 7.69 9.62 2.3%/47 10th/[775,850] 18.42 23.68 7.89 7.89 2.63 15.79 5.26 7.89 5.26 5.26 3.4%/30.5 −16.5
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 63 Median SGP: 45 Median SGP Difference: −18
Mean Scale Score: 765 Mean Scale Score: 759 Mean Scale Score Difference: −6
Percent Proficient: 65.5% SGP Count: 1790 Percent Proficient: 58.6% SGP Count: 1108 Percent Proficient Difference: −6.9%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,692) 6.41 8.97 10.26 7.69 12.82 6.41 8.97 7.69 12.82 17.95 4.4%/58 1st/[650,695) 0.00 11.54 17.31 5.77 9.62 9.62 7.69 7.69 9.62 21.15 4.7%/57 −1
2nd/[692,707) 8.33 12.50 4.17 11.11 9.72 8.33 9.72 5.56 11.11 19.44 4%/55 2nd/[695,707) 3.70 5.56 11.11 7.41 14.81 5.56 12.96 12.96 9.26 16.67 4.9%/60.5 5.5
Asian
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[707,717) 4.88 6.10 6.10 3.66 10.98 13.41 18.29 10.98 13.41 12.20 4.6%/62 3rd/[707,716) 4.65 16.28 18.60 9.30 9.30 6.98 6.98 6.98 13.95 6.98 3.9%/40 −22
4th/[717,726) 1.71 5.13 14.53 7.69 10.26 9.40 7.69 8.55 13.68 21.37 6.5%/60 4th/[716,725) 2.56 10.26 14.10 11.54 17.95 12.82 7.69 10.26 7.69 5.13 7%/46 −14
5th/[726,734) 4.72 5.51 3.94 7.87 11.81 11.02 9.45 17.32 11.81 16.54 7.1%/65 5th/[725,733) 8.77 8.77 10.53 10.53 12.28 15.79 14.04 12.28 3.51 3.51 5.1%/48 −17
6th/[734,743) 5.10 5.73 7.64 6.37 7.01 10.83 10.83 11.46 17.83 17.20 8.8%/66 6th/[733,742) 23.17 10.98 4.88 7.32 10.98 13.41 10.98 3.66 6.10 8.54 7.4%/45 −21
7th/[743,752) 6.40 11.33 5.91 6.90 8.37 12.81 6.40 13.30 8.87 19.70 11.3%/58 7th/[742,751) 9.89 19.78 10.99 15.38 10.99 5.49 7.69 7.69 6.59 5.49 8.2%/36 −22
8th/[752,761) 6.22 5.74 7.66 7.66 10.05 10.05 8.13 9.57 14.83 20.10 11.7%/63 8th/[751,762) 14.58 9.72 9.72 9.03 11.11 9.72 8.33 6.94 11.11 9.72 13%/46 −17
9th/[761,776) 5.50 5.84 7.22 11.34 9.28 11.00 9.62 8.93 17.18 14.09 16.3%/59 9th/[762,775) 10.10 18.69 9.09 10.61 16.16 9.09 6.06 6.06 5.05 9.09 17.9%/40 −19
10th/[776,850] 4.19 7.05 6.39 8.81 7.05 8.81 11.45 13.00 16.30 16.96 25.4%/66.5 10th/[775,850] 11.65 13.92 9.71 10.36 8.41 9.06 6.47 11.65 9.39 9.39 27.9%/43 −23.5
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 48 Median SGP: 34 Median SGP Difference: −14
Mean Scale Score: 720 Mean Scale Score: 714 Mean Scale Score Difference: −6
Percent Proficient: 20.6% SGP Count: 18815 Percent Proficient: 13.5% SGP Count: 12561 Percent Proficient Difference: −7.1%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
Hispanic or Latino
1st/[650,692) 10.83 9.67 10.48 10.27 10.24 9.67 10.13 10.20 9.04 9.46 15.1%/48 1st/[650,695) 7.55 7.93 12.84 11.04 13.03 10.19 11.18 10.29 9.39 6.56 16.9%/48 0
2nd/[692,707) 9.08 10.56 10.46 9.97 10.00 11.06 9.38 9.77 10.30 9.41 16.2%/49 2nd/[695,707) 7.34 11.43 12.68 13.21 12.95 10.74 10.69 9.28 7.13 4.56 15.2%/44 −5
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[707,717) 10.29 11.33 10.06 11.10 9.25 9.52 10.48 9.40 8.97 9.59 13.7%/47 3rd/[707,716) 11.11 12.83 14.36 12.28 13.01 11.30 8.96 7.49 5.03 3.62 13%/39 −8
4th/[717,726) 10.85 10.12 10.57 10.08 10.93 9.91 9.42 9.26 9.87 8.98 13%/47 4th/[716,725) 15.40 14.77 17.74 11.98 11.66 9.51 6.65 4.94 4.37 2.98 12.6%/31 −16
5th/[726,734) 10.47 12.12 9.88 10.56 9.30 10.66 9.54 9.54 8.81 9.10 10.9%/47 5th/[725,733) 16.99 19.25 15.48 11.38 10.46 8.54 6.28 5.69 3.43 2.51 9.5%/28 −19
6th/[734,743) 10.27 10.68 10.74 9.98 10.21 7.82 9.63 10.56 9.80 10.33 9.1%/48 6th/[733,742) 21.85 18.43 15.10 10.34 9.34 8.01 6.59 4.17 3.17 3.00 9.5%/25 −23
7th/[743,752) 12.35 9.35 10.13 10.65 8.82 10.59 9.80 9.35 9.15 9.80 8.1%/48 7th/[742,751) 25.53 21.94 14.56 9.61 8.74 5.83 4.85 3.79 2.62 2.52 8.2%/21 −27
8th/[752,761) 10.64 12.20 11.28 11.28 10.00 9.91 7.98 8.90 9.08 8.72 5.8%/44 8th/[751,762) 28.08 16.45 12.57 11.16 7.76 6.46 4.11 5.64 4.00 3.76 6.8%/23 −21
9th/[761,776) 11.94 10.70 11.63 10.07 8.83 7.79 11.42 9.35 9.24 9.03 5.1%/45 9th/[762,775) 27.29 16.28 14.42 9.61 7.44 4.81 5.27 6.36 4.19 4.34 5.1%/24 −21
10th/[776,850] 13.55 10.62 10.99 8.97 10.99 8.97 8.61 9.16 7.88 10.26 2.9%/45 10th/[775,850] 27.03 15.97 9.34 10.81 7.62 8.85 6.63 5.16 5.16 3.44 3.2%/28 −17
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
Median SGP: 51 Median SGP: 38 Median SGP Difference: −13
Mean Scale Score: 749 Mean Scale Score: 741 Mean Scale Score Difference: −8
Percent Proficient: 49.4% SGP Count: 26244 Percent Proficient: 39.9% SGP Count: 19193 Percent Proficient Difference: −9.5%
Student Growth Percentile Range Student Growth Percentile Range
Median SGP Difference
19 29 39 49 59 69 79 89 99 by Prior Score Decile
to to to to to to to to to to to to to to to to to to to to
1st/[650,692) 8.16 9.45 9.11 9.45 8.59 9.45 10.57 9.36 11.43 14.43 4.4%/55 1st/[650,695) 6.50 7.32 10.57 10.57 10.57 10.92 12.66 13.01 8.36 9.52 4.5%/54 −1
2nd/[692,707) 9.19 8.51 8.95 8.70 9.69 10.12 10.67 10.92 10.67 12.58 6.2%/54 2nd/[695,707) 7.39 7.85 11.89 11.81 11.81 10.06 12.96 8.77 9.76 7.70 6.8%/49 −5
White
Prior Scale Score Decile/Range* Marginal Proportion/Median SGP Prior Scale Score Decile/Range* Marginal Proportion/Median SGP
3rd/[707,717) 7.28 8.64 9.99 9.26 10.15 10.15 9.68 11.65 10.61 12.59 7.3%/54 3rd/[707,716) 8.19 9.52 13.03 11.97 12.75 10.71 11.90 8.47 7.35 6.09 7.4%/45 −9
4th/[717,726) 7.60 9.19 9.23 9.54 10.11 9.71 9.89 10.55 11.82 12.35 8.7%/54 4th/[716,725) 8.97 11.84 12.86 13.42 12.52 11.68 7.95 8.80 6.37 5.58 9.2%/42 −12
5th/[726,734) 8.59 9.53 9.89 10.20 9.53 10.04 10.71 10.59 9.77 11.15 9.7%/52 5th/[725,733) 11.35 14.95 13.68 11.63 11.79 9.69 7.59 7.64 6.53 5.15 9.4%/38 −14
6th/[734,743) 9.56 8.75 8.97 10.23 10.41 10.00 9.78 10.85 11.00 10.45 10.3%/52 6th/[733,742) 14.04 15.65 13.90 11.66 10.64 10.16 6.41 7.87 4.96 4.71 10.7%/35 −17
7th/[743,752) 7.92 9.55 10.47 9.83 10.88 10.12 10.63 9.39 10.40 10.82 12%/51
8th/[752,761) 9.61 11.23 9.88 9.65 9.48 9.68 9.95 9.85 9.92 10.76 11.3%/50
Colorado SGP Calculations 2021 7th/[742,751) 15.67 16.77 14.39 10.55 10.23 7.45 7.95 6.72 5.62 4.66 11.4%/33
8th/[751,762) 18.02 15.68 13.43 10.85 9.15 7.49 7.88 6.89 4.83 5.78 13.2%/32
9th/[761,776) 9.14 9.59 9.56 10.19 10.08 10.37 10.03 10.61 10.27 10.16 14.5%/51 9th/[762,775) 17.41 14.18 11.89 11.89 10.40 9.53 7.76 6.22 5.71 5.00 13.2%/35 −16
10th/[776,850] 9.64 9.88 10.45 10.32 10.10 10.40 10.08 9.88 9.39 9.86 15.6%/49 10th/[775,850] 18.84 15.69 10.21 10.92 8.77 7.96 7.92 7.62 6.44 5.63 14.1%/34 −15
*Prior score deciles can be uneven depending upon the prior score distribution *Prior score deciles can be uneven depending upon the prior score distribution
About this copy
Colorado SGP Calculation 2021 — Colorado Department of Education, September 30, 2021.
This is an image-based copy of the original PowerPoint slides; builds and animations are flattened.