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Introduction to Value-Added Data Dr Robert Clark
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Theory and Stats bits…
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. Trend Line/Regression Line Measuring Value-Added – Terminology BASELINE SCORE -ve VA +ve VA Residuals VA Exam grade
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Measuring Value-Added – An Example Low AbilityAverage AbilityHigh Ability Baseline Score A* U B C D E F G Result Aldwulf Beowulf Cuthbert +ve (+ 2 grades) -ve (- 2 grades) National Trend ‘Average’ Student The position of the national trend line is of critical importance Subject A Subject B
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Some Subjects are More Equal than Others…. A-Level >1 grade A*ABC A B C D E
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Some Subjects are More Equal than Others…. BTec National Diploma BCE DDM DDD DMM MMM MMP MPP D PPP Average GCSE Score Grade
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Some Subjects are More Equal than Others…. International Baccalaureate 4 5 6 7 CBAA* Average (I)GCSE Score Grade Biology Business and Management Chemistry Design Technology Economics English_A1 Film French_B Geography History Mathematics Music Philosophy Physics Psychology Spanish_B Theatre Arts Visual Arts
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F E D C B A A* Test Score GCSE Grades Art & Design Biology Chemistry Economics English French Geography German History Ict Mathematics Media Studies Music Physical Education Physics Religious Studies Science (Double) Spanish Some Subjects are More Equal than Others…. GCSE
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Definitions: Residual – difference between the points the student attains and points attained on average by students from the CEM cohort with a similar ability Standardised Residual – the residual adjusted to remove differences between qualification points scales and for statistical purposes Average Standardised Residual – this is the ‘Value Added Score’ for any group of results Subject VA – average of standardised residuals for all students’ results in the particular subject School VA – average of standardised residuals for all students’ results in all subjects for a school / college Confidence Limit – area of statistical uncertainity within which any variation from 0 is deemed ‘acceptable’ and outside of which could be deemed ‘important’
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Measuring Ability Key Stage Data or Baseline Test ?
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Key Stage Baselines – KS2; GCSE StrengthsWeaknesses Related to curriculumDependent on teaching effectiveness (prior Value- Added) as well as student ability Automatically availableOpen to manipulation In DepthNot all students have KS data Linked to student learning experience Reliability of KS measure Consistency of KS score (i.e. GCSE & Btec First etc) Future of GCSE – EBac certificates ? Future of KS2 ? Impact of Teacher Assessment ? Independent Baseline Test – CEM Adaptive Test
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Burning Question : What is my Value-Added Score ? Better Question : Is it Important ?
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SPC Chart 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Year Performance inline with expectation VA Score Performance below expectation Problem with Teaching & Learning ? Performance above expectation Good Practice to Share ?
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Subject Summary Standardised Residual Graph
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The Scatter Plot Baseline Score Grade Points Equivalent Look for Patterns… General Underachievement / over achievement ? Do any groups of students stand out ? – high ability vs low ability ? – male vs female ?
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Other things to look for… Why did these students do so badly ? Why did this student do so well ? How did they do in their other subjects ?
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Worked Example – Pre 16
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Which Subjects Cause Most Concern ? Danger of Relying on Raw Residuals Without Confidence Limits
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Which subjects now cause most concern ?
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Business Studies
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Religious Studies
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Worked Example – Post 16
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SPC Chart 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Year
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Subject Summary - 3 Year Average Subject Summary - Current Year
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A2-English Literature Statistical Process Control (SPC) Chart 200820092010 Year
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Student Level Residuals (SLR) Report Scatter Plot A2 – English Literature General Underachievement ?
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Student Level Residuals (SLR) Report Scatter Plot A2 – English Literature Too many U’s ?
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Summary of Process Examine Subject Summary Determine ‘interesting’ (i.e. statistically significant) subjects Look at 3 year average as well as single year if available Look at trends in ‘Interesting Subjects’ Examine student data –Scatter graphs Identify students over / under achieving (student list or Paris) Any known issues ? Don’t forget to look at over achieving subjects as well as under achieving Phone / Email CEM when you need help understanding / interpreting the data / statistics !
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Baseline Choice
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Do students with the same GCSE score from feeder schools with differing value-added have the same ability ? How can you tell if a student has underachieved at GCSE and thus can you maximise their potential ? Has a student got very good GCSE scores through the school effort rather than their ability alone ? Does school GCSE Value-Added limit the ability to add value at KS5 ? Can you add value at every Key Stage ? How can you check for this ? GCSE or Baseline Test ?
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GCSE Value-AddedKS5 ExpectationsKS5 Value-Added ? ?
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The Effect of Prior Value Added Beyond Expectation +ve Value-Added In line with Expectation 0 Value-Added Below Expectation -ve Value-Added Average GCSE = 6 Do these 3 students all have the same ability ?
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Same School - Spot the Difference ? GCSE as Baseline Test as Baseline
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GCSE as Baseline Test as Baseline
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A2 Biology GCSE as Baseline Test as Baseline
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A2 Biology GCSE as Baseline Test as Baseline Student A Student B
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A2 Biology Student A BaselineGradePoints‘Predicted’ Points VA (Residual) GCSEA120122.4-2.4 TestA12090.629.4 Student B BaselineGradePoints‘Predicted’ Points VA (Residual) GCSEA*140128.111.9 TestA*140100.139.9 How well did these students perform ?
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National or School Type Specific ?
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Comparison to all schools Comparison to Independent Schools Only
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Comparison to all schools Comparison to FE Colleges Only
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Questions: → How does the unit of comparison used affect the Value-Added data and what implications does this have on your understanding of performance ? → Does this have implications for Self Evaluation ?
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Thank You Robert Clark – robert.clark@cem.dur.ac.uk
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