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1 Mississippi Department of Education Office of Research and Statistics Ken Thompson, Director January 20, 2011 Understanding The Mississippi Growth Model
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2 State Accountability Model The State Accountability Model consists of three components: 1.Achievement 2.Growth 3.High School Completion
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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
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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”
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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
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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
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QDI Measures how many are crossing the bar? November 2009 Copyright © 2009 Mississippi Department of Education 77
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Growth measures how much higher and not necessarily measure if you cross the bar November 2009 Copyright © 2009 Mississippi Department of Education 88
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Think of the size of the arrow as relative growth November 2009 Copyright © 2009 Mississippi Department of Education 99
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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
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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 = 120 11 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)
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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 40 12 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%
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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
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Calculating Growth 14 Student8 th Grade Language Arts Scale Score 8 th Grade Mathematics Scale Score #1133152 #2150147 #3139143 #4136148 #5150147 14 As with QDI, Growth has a formula. To calculate growth, substitute the scale scores into the growth formula.
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Positive QDI Change with Negative Growth 15 StudentLA SS MTH SS #1133152 #2150147 #3139143 #4136148 #5150147 Predicted Alg 1 SS 652.2604 653.48645 649.79698 651.22883 653.48645 Actual Alg 1 SS 652 657 648 655 Difference (Residual) -0.2604 3.51355 -1.79698 -3.22883 1.51355 Overall Residual: - 0.25911 QDI Change: + 40 15
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