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Growth Measure Professional
Development: Introduction
Virginia Department of Education
November 2011
2




Welcome!
• Today’s session is designed to increase division
  leadership teams’:
  ▫ Knowledge of Virginia’s student growth measure—
    Student Growth Percentiles (SGPs); and
  ▫ Understanding of how SGPs can provide one
    additional piece of data that can be used to inform
    decision making.
3




Federal Requirements
• The State Fiscal Stabilization Fund (SFSF) program of the
  American Recovery and Reinvestment Act of 2009 (ARRA)
  requires Virginia to:
  ▫ Develop a student growth measure.
  ▫ Provide student growth data to reading and mathematics
    teachers in tested grades.
  ▫ Provide student growth data to both previous and current
    teachers.
  ▫ Provide reports of individual teacher impact on student
    achievement on state assessments.
• The Virginia Department of Education (VDOE) established the
  Master Schedule Data Collection to meet this and other federal
  data collection and reporting requirements.
4




Measuring Growth
• VDOE chose to meet the growth measure
  requirement in the SFSF program using Student
  Growth Percentiles (SGPs).


• Virginia’s SGPs describe students’ progress on
  Standards of Learning (SOL) tests compared to
  other students statewide who have similar SOL
  score histories.
5




Learning Objectives
Session 1
• Explain in conceptual terms how SGPs are derived
  from Standards of Learning (SOL) scores in the
  Commonwealth of Virginia
Session 2
• Examine SGP levels
• Articulate the business rules that influence the growth
  data that will be received
• Analyze examples of student growth information as it
  will be provided in Fall 2011 SGP report format
6




Learning Objectives (cont’d)
Session 3
• Understand factors that may influence SGP data
  reports
• Interpret SGP data in relation to other data
  sources
7




    Other Information
     • Virginia does not include student growth percentiles
       in school accountability measures; therefore these
       workshop sessions will not cover the use of SGPs as a
       component of accountability in Virginia.


     • Virginia’s Board of Education has provided guidance
       on use of student growth percentiles in performance
       evaluation;* therefore, these sessions will not focus on
       the specific use of SGPs for teacher performance
       evaluation.
*For more information visit, http://www.doe.virginia.gov/teaching/performance_evaluation
Session 1: Student Growth Percentiles in Virginia




  Session 1: Overview   Session 2: Report   Session 3:            Session 4:
  of Student Growth     Format and Data     Interpreting          Communication
  Percentiles           Processing          aggregated SGP data   with stakeholders




                                                                                  8
Beginning school year 2011, divisions can access reports
that include SOL scaled scores and student growth
percentiles



     SOL scaled scores in
                                                        Proficiency
     Reading and Mathematics



     Student growth percentiles                          Student progress

                                  Reading: 4th – 8th grade
                                  Mathematics: 4th – 8th grade
                                  and Algebra I




                                                                            9
Beginning school year 2011, divisions can access reports
that include SOL scaled scores and student growth
percentiles


         Student      Grade 3 mathematics   Grade 4 mathematics
                        SOL scaled score      SOL scaled score
           A                 432                   450
           B                 318                   450




                   The student growth percentile captures growth
                   while controlling for prior performance


                                                                   10
The concept of student growth percentiles can be
 compared to an example of pediatric growth charts
                Graph of Weight By Age (Boys)*
                                                                         Percentiles range from 1 to 99
                                                                              95th percentile
                                                                              90th percentile
                                                                              75th percentile
                                                                              50th percentile
                                                                              25th percentile
                                                                              10th percentile
                                                                              5th percentile




                                                                                                          11
*Adapted from http://www.cdc.gov/growthcharts/data/set2/chart%2003.pdf
Pediatric growth charts compare a child to a group of other
children who were measured at the same age
      Graph of Weight By Age (Boys)




                                      Here is a 9-year old boy at the
                                      50th percentile for weight
                50th
                                      He weighs more than 50% of
                                      the 9 year olds used to create
                                      the chart




                                                                        12
Unlike pediatric growth charts, student growth percentiles
compare student achievement using historical data


                              Weight redefined as a student growth percentile
                              would adjust the percentile to account for other
                              9 year olds who had the same weight as he did
                              in all prior years.




                             AGE (years)




                                                                        13
A student’s mathematics SOL scores can be plotted from
one year to the next

                                500
 Mathematics SOL scaled score




                                450
                                      425
                                400

                                350

                                300

                                250


                                       3    4   5       6
                                                    Grade
                                                            14
A student’s mathematics SOL scores can be plotted from
one year to the next

                                500
 Mathematics SOL scaled score




                                450
                                            455
                                      425
                                400

                                350

                                300

                                250


                                       3     4    5       6
                                                      Grade
                                                              15
The fourth grade scores of students with the same third
grade score can differ and form a distribution

                                500
 Mathematics SOL scaled score




                                450         455

                                400   425

                                350

                                300

                                250


                                       3    4     5       6
                                                      Grade
                                                              16
Comparing the example student’s score to students with
similar score histories yields a percentile

                                500
 Mathematics SOL scaled score




                                                  82nd
                                450
                                                  50th
                                400

                                350

                                300

                                250


                                      3   4   5          6
                                                   Grade
                                                             17
The fifth grade growth percentile is calculated relative to students
with similar score histories at both grades three and four


                                500
 Mathematics SOL scaled score




                                                                 Other students whose
                                450                              scores diverged from
                                                          46th   the example student
                                400                              are no longer
                                                                 considered to have a
                                350                              similar score history

                                300

                                250


                                      3   4   5       6
                                                  Grade
                                                                                     18
The sixth grade growth percentile is calculated relative to students
with similar score histories at grades three, four and five


                                500
 Mathematics SOL scaled score




                                                          77th Other students whose
                                450                            scores diverged from
                                                               the example student
                                400                            are no longer
                                                               considered to have a
                                350                            similar score history

                                300

                                250


                                      3   4   5       6
                                                  Grade
                                                                                       19
These students all have the same score history because
they scored 400 on the Grade 3 Mathematics SOL test



 Six students     Grade 3 mathematics   Grade 4 mathematics     Grade 4 mathematics
across Virginia     SOL scaled score      SOL scaled score    student growth percentile
      A                  400                   318                       16
      B                  400                   400                       28
      C                  400                   400
      D                  400                   434                       49
      E                  400                   482                       64
      F                  400                   530                       89




                                                                                 20
A student growth percentile compares the student’s current SOL
score with the scores of students throughout the state with similar
score histories



 Six students     Grade 3 mathematics   Grade 4 mathematics     Grade 4 mathematics
across Virginia     SOL scaled score      SOL scaled score    student growth percentile
      A                  400                   318                       16
      B                  400                   400                       28
      C                  400                   400                       28
      D                  400                   434                       49
      E                  400                   482                       64
      F                  400                   530                       89




                                                                                 21
Three important features of the student growth percentile
promote comprehension and interpretation of scores


    SGP: 1-99   Student growth percentiles range from 1 to 99


                A student growth percentile compares the
                student’s current SOL score with students
                throughout the state

                Each year, a student’s growth percentile is
                calculated in reference to other students with the
                same test taking sequence and score history

                                                                22
Students in the same class with the same SOL score may
have different growth percentiles

              73        64                50         24




             460        460              460        460




 Students are compared across the state to others with
 similar score histories, regardless of class or school

                                                          23
Students in the same class with the same SOL score may
have different growth percentiles

                73           64                    50    50      24




                460          460                  460    460    460




What can we conclude about these two students?
 These students must have similar score histories because they both achieved the
 same growth percentile between their prior score and their most recent score
                                                                              24
Comparison of growth and SOL achievement


                               600
                                                                                         Discuss growth in
                               550                                      550    82nd      the context of
Mathematics SOL scaled score




                                                                                         proficiency for
                               500                                                       these students at
                                             Student W
                               450                                                       fifth grade
                                                                                         Low achievement/High growth
                                     430               Student X       420      27th     Low achievement/Low growth
                               400   415                                               W: Advanced Proficient-
                                                                                          High achievement/Low growth
                                                                       380      94th   High Growth
                                                                                          High achievement/High growth
                               350                                                     X: Proficient – Low
                                           Student Y                                   Growth
                               300   320                                               Y: Failing and Low Growth
                                                                       300      18th   Z: Failing and High Growth
                               250   275 Student Z
                                     4th Grade                     5th grade



                                                                                                               25
Session 1 Examples
Table 1. Suzie’s scores

     Student         3rd grade    4th grade   5th grade   SGP associated with 5th grade score
Suzie                     270       300         365                         70



 How would you describe Suzie’s 5th grade scaled score?
 Suzie’s 5th grade scaled score indicates that she did not pass the test.

 What can you tell from Suzie’s growth percentile of 70?
 At fifth grade, Suzie outperformed 70 percent of students with similar score histories.
 What have you gained from knowing that her growth percentile was 70 even though her
 score was 365?
 Suzie experienced high growth in the prior year; this is encouraging.
 Can you calculate Suzie’s growth percentile just by knowing her previous years’
 scores?
 No, because we do not have the distribution of scores from students with similar score
 histories.                                                                                26
Table 2. Scores for Suzie and a selection of students with similar score histories
     Student        3rd grade   4th grade    5th grade     SGP associated with 5th grade score
Peer student A         270         300          290                         22
Peer student B         270         300          310                         40
Peer student C         270         300          330                         53
Suzie                  270         300          365                         70
Peer student D         270         300          380                         88

Look at all the students’ 4th and 5th grade scores in relation to the 5th grade growth
percentiles. For the group as a whole, how do the growth percentile numbers relate to
the difference between the 4th and 5th grade scores?
Because the data represent a portion of the state-wide group of students with a similar score
history to Suzie, the difference between the 4th and 5th grade scores does relate to the
growth percentile.




                                                                                         27
Table 3. Scores for Suzie and her classmates
     Student         3rd grade 4th grade 5th grade       SGP associated with 5th grade score
Suzie                 270         300         365                         70
Victor                310         340         365                         30
Keisha                410         435         460                         60
Dante                 400          -          460                          -
Jamar                  -          470         500                         50
Mya                   260         290         335                         65
Zachary               420         450         440                          8

Explain to their 5th grade teacher how Suzie and Victor achieved the same 5th grade scaled
score but different growth percentiles.
Suzie and Victor’s growth percentiles are based on two different distributions of scores that
reflect their different score histories.
Does Victor’s growth percentile of 30 have any relation to Suzie’s growth percentile of 70?
No, the two numbers are not directly comparable to one another.
 How can Suzie and Mya have almost the same growth percentile, but different
achievement?
Relative to each student’s state-wide comparison distribution, Suzie and Mya achieved a
similar percentile. The scores associated with each distribution will differ.          28
Table 4. Data including previous growth percentiles for Suzie and her class

      Student      3rd grade   4th grade    5th grade    SGP associated with 5th grade score
Suzie                 270         300          365                         70
Victor                310         340          365                         30
Emily                 410         435          460                         60
Dante                 400           -          460                          -
Jamar                   -         470          500                         50
Mya                   260         290          335                         65
Zachary               420         450          440                         8

Why does Jamar but not Dante, have a student growth percentile?
Jamar has two consecutive years’ worth of data; Dante does not.

Should Zachary’s teacher be concerned about his performance, given his scaled score and
growth percentiles?
Zachary is achieving at the pass proficient level but his progress relative to other students
in the state who also have this score history, is low.


                                                                                          29
Student          3rd grade        4th grade           5th grade      SGP associated with
                                                                         5th grade score
Suzie          270              300    (30)       365                           70
Victor         310              340    (25)       365                           30
Keisha         410              435    (40)       460                           60
Dante          400              -                 460                            -
Jamar          -                470               500                           50
Mya            240              290    (35)       335                           65
Zachary        390              450    (85)       440                            8

Do you notice any trends, patterns or discrepancies? Which students would we be most
concerned about, and why?
Suzie, Victor, and Mya show low achievement and are not meeting minimum proficiency
levels. They all raise concerns. Victor also shows low relative growth for two consecutive
years, which may raise additional concerns.


                                                                                        30
Session 2: Reporting of growth data



Session 1: Overview of   Session 2: Report   Session 3 :           Session 4:
Student Growth           format and data     Interpreting          Communication with
Percentiles              processing          aggregated SGP data   stakeholders




                                                                                  31
Learning Objectives
• Articulate the business rules that influence the
  growth data you will receive
• Examine Student Growth Percentile (SGP)
  levels
• Analyze examples of student growth
  information as it will be provided school year
  2011
  – SGP report format

                                                 32
Virginia’s SGP Business Rules:
                       Who is included
A Student Growth Percentile will be calculated for students who participate in
Standards of Learning (SOL) testing for reading and/or mathematics in grades
4-8 and Algebra I through grade 9 with the exception of:
     –   students with two or more consecutive years of advanced scores (> 500) in
         the same content area,

     –   students who do not have two consecutive years of SOL scores in the same
         subject (mathematics or reading), including students who completed
         alternate or alternative assessments (VGLA, VAAP, or VSEP) within the last
         two years,

     –   Students who take the same level SOL test for two consecutive years;

     –   Students with a testing status

     –   Students with merged STI’s

     –   Students who take unusual pathways through the state testing program.

                                                                                  33
Common Course-taking Patterns for
          Mathematics
An SGP will be calculated for students who participate
in the mathematics assessment program in a sequence
that is common in Virginia. Common course-taking
patterns in mathematics include:
• Grades 3, 4, and 5
• Grades 6, 7, 8, and Algebra I
• Grades 6, 7, and Algebra I
• Grades 6, 8, and Algebra I



                                                     34
Statewide, the majority of students taking an SOL test will have
growth data.
 2010-2011 Mathematics & Algebra I                                               2010-2011 Reading
100%                                                              100%
 90%                                                              90%
                               32%                                                              30%
 80%                                                              80%
 70%                                                              70%
 60%                                                              60%
 50%                                                              50%
 40%                                                              40%
 30%                           68%                                30%
                                                                                                70%
 20%                                                              20%
 10%                                                              10%
  0%                                                               0%
          Percent of Grades 4-9 Students who took SOL with SGPs            Percent of Grades 4-8 Students who took SOL with SGPs


                                            Have SGP              Do not have SGP
  *Of 434,737 students with applicable SOL data                          *Of 408,605 students with applicable SOL data
                                                                                                                             35
Student Growth Percentile Categories
                  Low                           Moderate                              High

    l l lllll lllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
    1                             34 35                           65 66                               99

To help interpret student growth percentiles, the VDOE has established categorical growth
levels of low, moderate, and high. These data will be reported with the growth data for
your division or school.

Low growth: represents students with SGPs of 1 to 34.

Moderate growth: includes students with SGPs of 35 to 65.

High growth: represents students with SGPs of 66 to 99.



                                                                                                              36
Student Growth Percentile Categories
                Low                            Moderate                              High

   l l lllll lllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
  1                              34 35                          65 66                                99

When considering student level data:
• little practical difference exists between student growth
  percentiles that border the SGP categories (i.e., SGPs of 33
  and 36 or SGPs of 64 and 67)
• SGPs that border the SGP categories could be considered as
  having low-to-moderate growth or moderate-to-high growth
• it is critical to consider the SGP and the SGP categories



                                                                                                             37
Generating SGP Reports
• Student Growth Percentile Reports will be
  available through a Single Sign-on for Web
  Systems (SSWS) application
  – Division SSWS Account Managers will assign
    access to the Growth Measure Reports application
  – School divisions will determine locally which staff
    are authorized to have access to these student-
    level data
  – School division personnel will have the option of
    providing access to division-level or school-level
    reports

                                                      38
Generating SGP Reports
• Options to select when generating SGP
  reports:
  – School year
  – Reporting window (End of Year or fall)
  – Entire division/particular school
  – All teachers/single teacher
  – Mathematics, reading, or both



                                             39
Generating SGP Reports
• SGP reports generated for spring 2011 will
  provide data with teacher information for the
  2010-11 school year.
• SGP reports generated for fall 2011 will
  provide the spring 2011 data with fall 2011
  teacher information




                                                  40
The student growth percentile report:




                                        41
Current Year Information




                           42
Division and
school data
at time
test was
administered




               43
Test name, SOL
scaled score and
proficiency level,
and growth
percentile and
growth level




                     44
Student
demographic data




                   45
46
47
Sample report: review of business rules




                                          48
Session 2 Example Answers
                                                       Student Two
     Students
                                                       • Student does not have a Grade 3
     One, Three, Four, Five, Six, Eig
                                                          Mathematics score, so there are
     ht, Nine, Ten
                                                          not two consecutive years of data
     • Growth percentiles are not
                                                          to calculate an SGP for Grade 4
         calculated for Grade 3
                                                          Mathematics


Student Four                                            Student Seven, Nine
• Student has scored Passed                             • Student does not have a Grade
   Advanced for two or more                                3 Reading score, so there are
   consecutive years, Grade 4 and                          not two consecutive years of
   Grade 5 Mathematics; therefore                          data to calculate an SGP for
   an SGP will not be calculated.                          Grade 4 Mathematics

                               Student Eight
                               • Student has scored Pass
                                  Advanced for two or more
                                  consecutive years, Grade 3, Grade
                                  4 and Grade 5 Reading; therefore
                                  an SGP will not be calculated.
                                                                                      49
Session 3: Interpreting aggregated
student growth percentile data


Session 1: Overview   Session 2: Report   Session 3:       Session 4:
of Student Growth     format and data     Interpreting     Communication with
Percentiles           processing          aggregated SGP   stakeholders
                                          data
Learning Objectives


• Understand factors that may influence the
  interpretation of aggregated student growth
  percentile data

• Understand the need to interpret growth
  percentile data in relation to other data
  sources

                                                51
The decision to create and interpret aggregate reports
needs to take key issues into consideration



 1. Aggregate reports may be subject to FOIA
 2. Small n counts are problematic
 3. Unavailable or missing data should be included in aggregate
    percentages
 4. Growth data need to be examined in context of other data
    sources
 5. Teacher data may vary in accuracy




                                                                  52
Student growth percentile reports can be sorted by school,
test and student characteristics




Aggregated information may be subject to public release under
Virginia’s Freedom of Information Act (FOIA)
                                                                53
A small n-count indicates that growth data should not be
used to draw inferences about that group


                                     Student Growth Percentile Level

                SOL                                      Moderate
                            Missing SGP     Low Growth                 High Growth       Total
 Test Level Proficiency                                   Growth
               Level         n        %      n     %     n     %        n      %     n       %
                Fail         1       9%      2    18%     1    9%       7     64% 11 100%
 6th Grade
               Pass
 English                     1       3%      15   52%     7   24%       6     21% 29 100%
             Proficient
 Reading
             Advanced        9        25%    16   44%     6   17%       5     14%    36 100%


                                                    Less than 15 per group IS too small.

                          Less than 30 MAY BE too small for low-stakes decisions.

  High stakes decisions are inappropriate with data from fewer than 30 students.
                                                                             54
Missing data should be included if percentages are reported
                                                     Students who took the SOL test AND
Students who took the SOL test                       who have growth percentiles; missing
                                                     data are not represented
100%                                                100%
90%                  19%       21%        22%       90%               23% 28%
80%                                                                           33%
                                                    80%
70%                  16%       18%
                                          23%       70%
                                                                      19%
60%                                                 60%                        26%
50%       100%
                                          20%       50%                                  37%       High SGP
                     48%       34%
40%                                                                                                Moderate SGP
                                                    40%
30%                                                                                                Low SGP
                                                    30%               58%
20%                                       35%                                  46%
                               27%                  20%
10%                  17%                                                                 30%
                                                    10%
 0%
        3rd Grade 4th Grade 5th Grade 6th Grade      0%       0%
         Reading Reading Reading Reading                      3rd     4th     5th     6th
                                                             Grade Grade Grade Grade
  Missing SGP   Low SGP   Moderate SGP   High SGP           Reading Reading Reading Reading
                                                            100%      17%       27%       35%
                                                           Missing   Missing   Missing   Missing
                                                             SGP      SGP       SGP       SGP            55
It is poor practice to base decisions on isolated data;
consider multiple sources of data and trends over time


                              SGP data


             Trends over
                                              SOL data
                time

                           Sources of data
                             for decision
                               making
             Benchmark                       Attendance
             assessment                          and
                data                          discipline

                             Report card
                               grades


                                                           56
Tables with aggregated data should include the percent of
students with missing growth data


                                   Student Growth Percentile Level

                SOL                                    Moderate
                          Missing SGP     Low Growth                 High Growth       Total
 Test Level Proficiency                                 Growth
               Level      n         %      n     %     n     %        n      %     n       %
                Fail      1        9%      2    18%     1    9%       7     64% 11 100%
 6th Grade
               Pass
 English                  1        3%      15   52%     7   24%       6     21% 29 100%
             Proficient
 Reading
             Advanced     9         25%    16   44%     6   17%       5     14%    36 100%




                                                                                          57
SOL performance levels and growth percentile category Levels for
sixth grade Reading at an example county elementary school

     100%
     90%
     80%
     70%      64%
     60%
                                         52%
     50%                                                 44%
                                                                     High Growth
     40%                                                             Moderate Growth
                                                                     Low Growth
     30%                               24%                     25%
                                    21%                              Missing SGP
     20%                 18%                           17%
                                                    14%
                    9%         9%
     10%                                       3%
      0%
            6th Grade Reading 6th Grade Reading 6th Grade Reading
                   Fail           Proficient        Advanced
58
                                                    Proficient
The accuracy of teacher information is determined by the Master
Schedule Collection




                                                                  59
In summary, the decision to create and interpret aggregate
reports needs to take key issues into consideration



 1. Small n counts are problematic—be cautious in generalizing
 2. Unavailable or missing data should be included in aggregate
    percentages
 3. Growth data need to be examined in context of other data
    sources
 4. SGP links to teachers/classroom-level data may vary in
    accuracy




                                                                  60

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Ppt student growth perct (copy from webinar)

  • 1. Growth Measure Professional Development: Introduction Virginia Department of Education November 2011
  • 2. 2 Welcome! • Today’s session is designed to increase division leadership teams’: ▫ Knowledge of Virginia’s student growth measure— Student Growth Percentiles (SGPs); and ▫ Understanding of how SGPs can provide one additional piece of data that can be used to inform decision making.
  • 3. 3 Federal Requirements • The State Fiscal Stabilization Fund (SFSF) program of the American Recovery and Reinvestment Act of 2009 (ARRA) requires Virginia to: ▫ Develop a student growth measure. ▫ Provide student growth data to reading and mathematics teachers in tested grades. ▫ Provide student growth data to both previous and current teachers. ▫ Provide reports of individual teacher impact on student achievement on state assessments. • The Virginia Department of Education (VDOE) established the Master Schedule Data Collection to meet this and other federal data collection and reporting requirements.
  • 4. 4 Measuring Growth • VDOE chose to meet the growth measure requirement in the SFSF program using Student Growth Percentiles (SGPs). • Virginia’s SGPs describe students’ progress on Standards of Learning (SOL) tests compared to other students statewide who have similar SOL score histories.
  • 5. 5 Learning Objectives Session 1 • Explain in conceptual terms how SGPs are derived from Standards of Learning (SOL) scores in the Commonwealth of Virginia Session 2 • Examine SGP levels • Articulate the business rules that influence the growth data that will be received • Analyze examples of student growth information as it will be provided in Fall 2011 SGP report format
  • 6. 6 Learning Objectives (cont’d) Session 3 • Understand factors that may influence SGP data reports • Interpret SGP data in relation to other data sources
  • 7. 7 Other Information • Virginia does not include student growth percentiles in school accountability measures; therefore these workshop sessions will not cover the use of SGPs as a component of accountability in Virginia. • Virginia’s Board of Education has provided guidance on use of student growth percentiles in performance evaluation;* therefore, these sessions will not focus on the specific use of SGPs for teacher performance evaluation. *For more information visit, http://www.doe.virginia.gov/teaching/performance_evaluation
  • 8. Session 1: Student Growth Percentiles in Virginia Session 1: Overview Session 2: Report Session 3: Session 4: of Student Growth Format and Data Interpreting Communication Percentiles Processing aggregated SGP data with stakeholders 8
  • 9. Beginning school year 2011, divisions can access reports that include SOL scaled scores and student growth percentiles SOL scaled scores in Proficiency Reading and Mathematics Student growth percentiles Student progress Reading: 4th – 8th grade Mathematics: 4th – 8th grade and Algebra I 9
  • 10. Beginning school year 2011, divisions can access reports that include SOL scaled scores and student growth percentiles Student Grade 3 mathematics Grade 4 mathematics SOL scaled score SOL scaled score A 432 450 B 318 450 The student growth percentile captures growth while controlling for prior performance 10
  • 11. The concept of student growth percentiles can be compared to an example of pediatric growth charts Graph of Weight By Age (Boys)* Percentiles range from 1 to 99 95th percentile 90th percentile 75th percentile 50th percentile 25th percentile 10th percentile 5th percentile 11 *Adapted from http://www.cdc.gov/growthcharts/data/set2/chart%2003.pdf
  • 12. Pediatric growth charts compare a child to a group of other children who were measured at the same age Graph of Weight By Age (Boys) Here is a 9-year old boy at the 50th percentile for weight 50th He weighs more than 50% of the 9 year olds used to create the chart 12
  • 13. Unlike pediatric growth charts, student growth percentiles compare student achievement using historical data Weight redefined as a student growth percentile would adjust the percentile to account for other 9 year olds who had the same weight as he did in all prior years. AGE (years) 13
  • 14. A student’s mathematics SOL scores can be plotted from one year to the next 500 Mathematics SOL scaled score 450 425 400 350 300 250 3 4 5 6 Grade 14
  • 15. A student’s mathematics SOL scores can be plotted from one year to the next 500 Mathematics SOL scaled score 450 455 425 400 350 300 250 3 4 5 6 Grade 15
  • 16. The fourth grade scores of students with the same third grade score can differ and form a distribution 500 Mathematics SOL scaled score 450 455 400 425 350 300 250 3 4 5 6 Grade 16
  • 17. Comparing the example student’s score to students with similar score histories yields a percentile 500 Mathematics SOL scaled score 82nd 450 50th 400 350 300 250 3 4 5 6 Grade 17
  • 18. The fifth grade growth percentile is calculated relative to students with similar score histories at both grades three and four 500 Mathematics SOL scaled score Other students whose 450 scores diverged from 46th the example student 400 are no longer considered to have a 350 similar score history 300 250 3 4 5 6 Grade 18
  • 19. The sixth grade growth percentile is calculated relative to students with similar score histories at grades three, four and five 500 Mathematics SOL scaled score 77th Other students whose 450 scores diverged from the example student 400 are no longer considered to have a 350 similar score history 300 250 3 4 5 6 Grade 19
  • 20. These students all have the same score history because they scored 400 on the Grade 3 Mathematics SOL test Six students Grade 3 mathematics Grade 4 mathematics Grade 4 mathematics across Virginia SOL scaled score SOL scaled score student growth percentile A 400 318 16 B 400 400 28 C 400 400 D 400 434 49 E 400 482 64 F 400 530 89 20
  • 21. A student growth percentile compares the student’s current SOL score with the scores of students throughout the state with similar score histories Six students Grade 3 mathematics Grade 4 mathematics Grade 4 mathematics across Virginia SOL scaled score SOL scaled score student growth percentile A 400 318 16 B 400 400 28 C 400 400 28 D 400 434 49 E 400 482 64 F 400 530 89 21
  • 22. Three important features of the student growth percentile promote comprehension and interpretation of scores SGP: 1-99 Student growth percentiles range from 1 to 99 A student growth percentile compares the student’s current SOL score with students throughout the state Each year, a student’s growth percentile is calculated in reference to other students with the same test taking sequence and score history 22
  • 23. Students in the same class with the same SOL score may have different growth percentiles 73 64 50 24 460 460 460 460 Students are compared across the state to others with similar score histories, regardless of class or school 23
  • 24. Students in the same class with the same SOL score may have different growth percentiles 73 64 50 50 24 460 460 460 460 460 What can we conclude about these two students? These students must have similar score histories because they both achieved the same growth percentile between their prior score and their most recent score 24
  • 25. Comparison of growth and SOL achievement 600 Discuss growth in 550 550 82nd the context of Mathematics SOL scaled score proficiency for 500 these students at Student W 450 fifth grade Low achievement/High growth 430 Student X 420 27th Low achievement/Low growth 400 415 W: Advanced Proficient- High achievement/Low growth 380 94th High Growth High achievement/High growth 350 X: Proficient – Low Student Y Growth 300 320 Y: Failing and Low Growth 300 18th Z: Failing and High Growth 250 275 Student Z 4th Grade 5th grade 25
  • 26. Session 1 Examples Table 1. Suzie’s scores Student 3rd grade 4th grade 5th grade SGP associated with 5th grade score Suzie 270 300 365 70 How would you describe Suzie’s 5th grade scaled score? Suzie’s 5th grade scaled score indicates that she did not pass the test. What can you tell from Suzie’s growth percentile of 70? At fifth grade, Suzie outperformed 70 percent of students with similar score histories. What have you gained from knowing that her growth percentile was 70 even though her score was 365? Suzie experienced high growth in the prior year; this is encouraging. Can you calculate Suzie’s growth percentile just by knowing her previous years’ scores? No, because we do not have the distribution of scores from students with similar score histories. 26
  • 27. Table 2. Scores for Suzie and a selection of students with similar score histories Student 3rd grade 4th grade 5th grade SGP associated with 5th grade score Peer student A 270 300 290 22 Peer student B 270 300 310 40 Peer student C 270 300 330 53 Suzie 270 300 365 70 Peer student D 270 300 380 88 Look at all the students’ 4th and 5th grade scores in relation to the 5th grade growth percentiles. For the group as a whole, how do the growth percentile numbers relate to the difference between the 4th and 5th grade scores? Because the data represent a portion of the state-wide group of students with a similar score history to Suzie, the difference between the 4th and 5th grade scores does relate to the growth percentile. 27
  • 28. Table 3. Scores for Suzie and her classmates Student 3rd grade 4th grade 5th grade SGP associated with 5th grade score Suzie 270 300 365 70 Victor 310 340 365 30 Keisha 410 435 460 60 Dante 400 - 460 - Jamar - 470 500 50 Mya 260 290 335 65 Zachary 420 450 440 8 Explain to their 5th grade teacher how Suzie and Victor achieved the same 5th grade scaled score but different growth percentiles. Suzie and Victor’s growth percentiles are based on two different distributions of scores that reflect their different score histories. Does Victor’s growth percentile of 30 have any relation to Suzie’s growth percentile of 70? No, the two numbers are not directly comparable to one another. How can Suzie and Mya have almost the same growth percentile, but different achievement? Relative to each student’s state-wide comparison distribution, Suzie and Mya achieved a similar percentile. The scores associated with each distribution will differ. 28
  • 29. Table 4. Data including previous growth percentiles for Suzie and her class Student 3rd grade 4th grade 5th grade SGP associated with 5th grade score Suzie 270 300 365 70 Victor 310 340 365 30 Emily 410 435 460 60 Dante 400 - 460 - Jamar - 470 500 50 Mya 260 290 335 65 Zachary 420 450 440 8 Why does Jamar but not Dante, have a student growth percentile? Jamar has two consecutive years’ worth of data; Dante does not. Should Zachary’s teacher be concerned about his performance, given his scaled score and growth percentiles? Zachary is achieving at the pass proficient level but his progress relative to other students in the state who also have this score history, is low. 29
  • 30. Student 3rd grade 4th grade 5th grade SGP associated with 5th grade score Suzie 270 300 (30) 365 70 Victor 310 340 (25) 365 30 Keisha 410 435 (40) 460 60 Dante 400 - 460 - Jamar - 470 500 50 Mya 240 290 (35) 335 65 Zachary 390 450 (85) 440 8 Do you notice any trends, patterns or discrepancies? Which students would we be most concerned about, and why? Suzie, Victor, and Mya show low achievement and are not meeting minimum proficiency levels. They all raise concerns. Victor also shows low relative growth for two consecutive years, which may raise additional concerns. 30
  • 31. Session 2: Reporting of growth data Session 1: Overview of Session 2: Report Session 3 : Session 4: Student Growth format and data Interpreting Communication with Percentiles processing aggregated SGP data stakeholders 31
  • 32. Learning Objectives • Articulate the business rules that influence the growth data you will receive • Examine Student Growth Percentile (SGP) levels • Analyze examples of student growth information as it will be provided school year 2011 – SGP report format 32
  • 33. Virginia’s SGP Business Rules: Who is included A Student Growth Percentile will be calculated for students who participate in Standards of Learning (SOL) testing for reading and/or mathematics in grades 4-8 and Algebra I through grade 9 with the exception of: – students with two or more consecutive years of advanced scores (> 500) in the same content area, – students who do not have two consecutive years of SOL scores in the same subject (mathematics or reading), including students who completed alternate or alternative assessments (VGLA, VAAP, or VSEP) within the last two years, – Students who take the same level SOL test for two consecutive years; – Students with a testing status – Students with merged STI’s – Students who take unusual pathways through the state testing program. 33
  • 34. Common Course-taking Patterns for Mathematics An SGP will be calculated for students who participate in the mathematics assessment program in a sequence that is common in Virginia. Common course-taking patterns in mathematics include: • Grades 3, 4, and 5 • Grades 6, 7, 8, and Algebra I • Grades 6, 7, and Algebra I • Grades 6, 8, and Algebra I 34
  • 35. Statewide, the majority of students taking an SOL test will have growth data. 2010-2011 Mathematics & Algebra I 2010-2011 Reading 100% 100% 90% 90% 32% 30% 80% 80% 70% 70% 60% 60% 50% 50% 40% 40% 30% 68% 30% 70% 20% 20% 10% 10% 0% 0% Percent of Grades 4-9 Students who took SOL with SGPs Percent of Grades 4-8 Students who took SOL with SGPs Have SGP Do not have SGP *Of 434,737 students with applicable SOL data *Of 408,605 students with applicable SOL data 35
  • 36. Student Growth Percentile Categories Low Moderate High l l lllll lllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll 1 34 35 65 66 99 To help interpret student growth percentiles, the VDOE has established categorical growth levels of low, moderate, and high. These data will be reported with the growth data for your division or school. Low growth: represents students with SGPs of 1 to 34. Moderate growth: includes students with SGPs of 35 to 65. High growth: represents students with SGPs of 66 to 99. 36
  • 37. Student Growth Percentile Categories Low Moderate High l l lllll lllllllllllllllllllllllllllllll lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll 1 34 35 65 66 99 When considering student level data: • little practical difference exists between student growth percentiles that border the SGP categories (i.e., SGPs of 33 and 36 or SGPs of 64 and 67) • SGPs that border the SGP categories could be considered as having low-to-moderate growth or moderate-to-high growth • it is critical to consider the SGP and the SGP categories 37
  • 38. Generating SGP Reports • Student Growth Percentile Reports will be available through a Single Sign-on for Web Systems (SSWS) application – Division SSWS Account Managers will assign access to the Growth Measure Reports application – School divisions will determine locally which staff are authorized to have access to these student- level data – School division personnel will have the option of providing access to division-level or school-level reports 38
  • 39. Generating SGP Reports • Options to select when generating SGP reports: – School year – Reporting window (End of Year or fall) – Entire division/particular school – All teachers/single teacher – Mathematics, reading, or both 39
  • 40. Generating SGP Reports • SGP reports generated for spring 2011 will provide data with teacher information for the 2010-11 school year. • SGP reports generated for fall 2011 will provide the spring 2011 data with fall 2011 teacher information 40
  • 41. The student growth percentile report: 41
  • 43. Division and school data at time test was administered 43
  • 44. Test name, SOL scaled score and proficiency level, and growth percentile and growth level 44
  • 46. 46
  • 47. 47
  • 48. Sample report: review of business rules 48
  • 49. Session 2 Example Answers Student Two Students • Student does not have a Grade 3 One, Three, Four, Five, Six, Eig Mathematics score, so there are ht, Nine, Ten not two consecutive years of data • Growth percentiles are not to calculate an SGP for Grade 4 calculated for Grade 3 Mathematics Student Four Student Seven, Nine • Student has scored Passed • Student does not have a Grade Advanced for two or more 3 Reading score, so there are consecutive years, Grade 4 and not two consecutive years of Grade 5 Mathematics; therefore data to calculate an SGP for an SGP will not be calculated. Grade 4 Mathematics Student Eight • Student has scored Pass Advanced for two or more consecutive years, Grade 3, Grade 4 and Grade 5 Reading; therefore an SGP will not be calculated. 49
  • 50. Session 3: Interpreting aggregated student growth percentile data Session 1: Overview Session 2: Report Session 3: Session 4: of Student Growth format and data Interpreting Communication with Percentiles processing aggregated SGP stakeholders data
  • 51. Learning Objectives • Understand factors that may influence the interpretation of aggregated student growth percentile data • Understand the need to interpret growth percentile data in relation to other data sources 51
  • 52. The decision to create and interpret aggregate reports needs to take key issues into consideration 1. Aggregate reports may be subject to FOIA 2. Small n counts are problematic 3. Unavailable or missing data should be included in aggregate percentages 4. Growth data need to be examined in context of other data sources 5. Teacher data may vary in accuracy 52
  • 53. Student growth percentile reports can be sorted by school, test and student characteristics Aggregated information may be subject to public release under Virginia’s Freedom of Information Act (FOIA) 53
  • 54. A small n-count indicates that growth data should not be used to draw inferences about that group Student Growth Percentile Level SOL Moderate Missing SGP Low Growth High Growth Total Test Level Proficiency Growth Level n % n % n % n % n % Fail 1 9% 2 18% 1 9% 7 64% 11 100% 6th Grade Pass English 1 3% 15 52% 7 24% 6 21% 29 100% Proficient Reading Advanced 9 25% 16 44% 6 17% 5 14% 36 100% Less than 15 per group IS too small. Less than 30 MAY BE too small for low-stakes decisions. High stakes decisions are inappropriate with data from fewer than 30 students. 54
  • 55. Missing data should be included if percentages are reported Students who took the SOL test AND Students who took the SOL test who have growth percentiles; missing data are not represented 100% 100% 90% 19% 21% 22% 90% 23% 28% 80% 33% 80% 70% 16% 18% 23% 70% 19% 60% 60% 26% 50% 100% 20% 50% 37% High SGP 48% 34% 40% Moderate SGP 40% 30% Low SGP 30% 58% 20% 35% 46% 27% 20% 10% 17% 30% 10% 0% 3rd Grade 4th Grade 5th Grade 6th Grade 0% 0% Reading Reading Reading Reading 3rd 4th 5th 6th Grade Grade Grade Grade Missing SGP Low SGP Moderate SGP High SGP Reading Reading Reading Reading 100% 17% 27% 35% Missing Missing Missing Missing SGP SGP SGP SGP 55
  • 56. It is poor practice to base decisions on isolated data; consider multiple sources of data and trends over time SGP data Trends over SOL data time Sources of data for decision making Benchmark Attendance assessment and data discipline Report card grades 56
  • 57. Tables with aggregated data should include the percent of students with missing growth data Student Growth Percentile Level SOL Moderate Missing SGP Low Growth High Growth Total Test Level Proficiency Growth Level n % n % n % n % n % Fail 1 9% 2 18% 1 9% 7 64% 11 100% 6th Grade Pass English 1 3% 15 52% 7 24% 6 21% 29 100% Proficient Reading Advanced 9 25% 16 44% 6 17% 5 14% 36 100% 57
  • 58. SOL performance levels and growth percentile category Levels for sixth grade Reading at an example county elementary school 100% 90% 80% 70% 64% 60% 52% 50% 44% High Growth 40% Moderate Growth Low Growth 30% 24% 25% 21% Missing SGP 20% 18% 17% 14% 9% 9% 10% 3% 0% 6th Grade Reading 6th Grade Reading 6th Grade Reading Fail Proficient Advanced 58 Proficient
  • 59. The accuracy of teacher information is determined by the Master Schedule Collection 59
  • 60. In summary, the decision to create and interpret aggregate reports needs to take key issues into consideration 1. Small n counts are problematic—be cautious in generalizing 2. Unavailable or missing data should be included in aggregate percentages 3. Growth data need to be examined in context of other data sources 4. SGP links to teachers/classroom-level data may vary in accuracy 60