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Introduction to Value-Added Data. Dr Robert Clark. Theory and Stats bits…. . Measuring Value-Added – Terminology. Exam grade. - ve VA. + ve VA. Residuals. BASELINE SCORE. VA. Trend Line/Regression Line . A*. B. C. Aldwulf. Beowulf. Subject A. D. Result. Cuthbert. E.
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Introduction to Value-Added Data Dr Robert Clark
. Measuring Value-Added – Terminology Exam grade -veVA +ve VA Residuals BASELINE SCORE VA Trend Line/Regression Line
A* B C Aldwulf Beowulf Subject A D Result Cuthbert E Subject B F G U Low Ability Average Ability High Ability Baseline Score Measuring Value-Added – An Example National Trend ‘Average’ Student -ve (- 2 grades) +ve (+ 2 grades) The position of the national trend line is of critical importance
A* A B C D E C B A A* Some Subjects are More Equal than Others…. A-Level >1 grade
Some Subjects are More Equal than Others…. BTec National Diploma DDD Grade DDM DMM MMM MMP MPP PPP D E C B Average GCSE Score
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 Some Subjects are More Equal than Others…. International Baccalaureate 7 6 Grade 5 4 C B A A* Average (I)GCSE Score
A* A B Art & Design Biology GCSE Grades Chemistry C Economics English French Geography German D History Ict Mathematics Media Studies Music E Physical Education Physics Religious Studies Science (Double) Spanish F Test Score Some Subjects are More Equal than Others…. GCSE
Definitions: • Residual – difference between thepoints 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 – averageof 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’
Measuring Ability Key Stage Data or Baseline Test ?
Key Stage Baselines – KS2; GCSE Independent Baseline Test – CEM Adaptive Test
Burning Question : What is my Value-Added Score ? Better Question : Is it Important ?
SPC Chart VA Score Performance above expectation Good Practice to Share ? Performance inline with expectation Performance below expectation Problem with Teaching & Learning ? 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Year
4.0 3.0 2.0 2.0 1.0 0.4 0.1 0.1 0.1 Average Standardised Residual 0.0 -0.1 -0.2 -0.2 -0.2 -0.2 -0.4 -0.4 -0.5 -0.5 -0.6 -0.7 -1.0 -0.7 -0.7 -2.0 -2.2 -3.0 -4.0 Art Music Drama Maths French History Biology German Spanish Physics Chemistry Geography Media Studies English Literature Religious Studies English Language Home Economics Information Technology Design and Technology Subject Summary Standardised Residual Graph
Grade Points Equivalent Baseline Score The Scatter Plot Look for Patterns… General Underachievement / over achievement ? Do any groups of students stand out ? – high ability vs low ability ? – male vs female ?
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 ?
Danger of Relying on Raw Residuals Without Confidence Limits Which Subjects Cause Most Concern ?
SPC Chart 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Year
Subject Summary - Current Year Subject Summary - 3 Year Average
A2-English Literature Statistical Process Control (SPC) Chart 2008 2009 2010 Year
A2 – English Literature Student Level Residuals (SLR) Report Scatter Plot General Underachievement ?
A2 – English Literature Student Level Residuals (SLR) Report Scatter Plot Too many U’s ?
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 !
GCSE or Baseline Test ? • 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 ?
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Average GCSE = 6 Average GCSE = 6 Average GCSE = 6 The Effect of Prior Value Added Beyond Expectation +ve Value-Added In line with Expectation 0 Value-Added Below Expectation -ve Value-Added Do these 3 students all have the same ability ?
GCSE as Baseline Same School - Spot the Difference ? Test as Baseline
GCSE as Baseline Test as Baseline
A2 Biology GCSE as Baseline Test as Baseline
A2 Biology Student B GCSE as Baseline Student A Student B Test as Baseline Student A
A2 Biology Student A Student B How well did these students perform ?
Comparison to all schools Comparison to Independent Schools Only
Comparison to FE Colleges Only Comparison to all schools
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 ?
Thank You Robert Clark – robert.clark@cem.dur.ac.uk