1 Mississippi Department of Education Office of Research and Statistics Ken Thompson, Director January 20, 2011 Understanding The Mississippi Growth Model
2 State Accountability Model The State Accountability Model consists of three components: 1.Achievement 2.Growth 3.High School Completion
What is the QDI? The Quality of Distribution Index (QDI) is a measurement of student performance on a particular day QDI doesn’t consider past performance. QDI measures how well schools are moving students between proficiency levels (i.e. “crossing the bar”.) 33
What is the QDI? 44 The formula for the Quality of Distribution (QDI) is: QDI = % Basic + (2 X % Proficient) + (3 X % Advanced) The QDI can range from a low of “0” to a high of “300”
What is Growth? Growth is a measurement of whether a student scored as well as predicted. Growth doesn’t look at how students are moving between proficiency levels (“crossing the bar”). Growth describes changes in scores rather than proficiency levels. 55
Most Asked Questions by Schools How can my QDI go up, but I still didn’t meet growth? How can my QDI go down, but I met growth? How do I compute growth? 66
QDI Measures how many are crossing the bar? November 2009 Copyright © 2009 Mississippi Department of Education 77
Growth measures how much higher and not necessarily measure if you cross the bar November 2009 Copyright © 2009 Mississippi Department of Education 88
Think of the size of the arrow as relative growth November 2009 Copyright © 2009 Mississippi Department of Education 99
Translate that to students… 10 StudentLA SS LA Prof Level MTH SSMTH Prof Level Alg I SSAlg I Prof Level #1133Minimum152Proficient652Proficient #2150Proficient147Basic657Proficient #3139Basic143Basic648Basic #4136Basic148Basic648Basic #5150Basic147Proficient655Proficient 10
8 th Grade QDI Minimum = 1/10 = 10% = 10 x 0 = 0 Basic = 6/10 = 60% = 60 x 1 = 60 Proficient = 3/10 = 30% = 30 x 2 = 60 Advanced= 0/10 = 0% = 0 x 3 = 0 QDI = StudentLA Prof Level MTH Prof Level #1MinimumProficient #2ProficientBasic #3Basic #4Basic #5BasicProficient 11 Proficiency LevelCountPercent Minimum10% Basic660% Proficient330% Advanced00% Total Scores10100% QDI = % Basic + (2 X % Proficient) + (3 X % Advanced)
Algebra I QDI Minimum = 0/5 = 0% = 0 x 0 = 0 Basic = 2/5 = 40% = 40 x 1 = 40 Proficient = 3/5 = 60% = 60 x 2 = 120 Advanced= 0/5 = 0% = 0 x 3 = 0 QDI = 160 QDI increase of StudentAlgebra I Prof Level #1Proficient #2Proficient #3Basic #4Basic #5Proficient 12 QDI = % Basic + (2 X % Proficient) + (3 X % Advanced) Proficiency LevelCountPercent Minimum00% Basic260% Proficient330% Advanced00% Total Scores5100%
How about growth… 13 While QDI uses proficiency levels to measure performance on one administration of the assessment … Growth uses scale scores to compare student performance with expected student performance. 13
Calculating Growth 14 Student8 th Grade Language Arts Scale Score 8 th Grade Mathematics Scale Score # # # # # As with QDI, Growth has a formula. To calculate growth, substitute the scale scores into the growth formula.
Positive QDI Change with Negative Growth 15 StudentLA SS MTH SS # # # # # Predicted Alg 1 SS Actual Alg 1 SS Difference (Residual) Overall Residual: QDI Change:
Questions or Comments 16