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esearch on charter schools will not be realized. We test this hypothesis through an examination of<br />

the rate of return per tax dollar invested in each Milwaukee school type.<br />

II. Individual School Analysis on Efficiency<br />

a. Methodology<br />

The first step is to calculate an efficiency score for every school. In order to do this, we need an outcome<br />

measure that is utilized in every school and is comparable across schools. The 2014-15 administration<br />

of the Wisconsin Knowledge and Concepts Exam (WKCE) and the Badger Exam meets<br />

this criteria. The WKCE was the primary standardized test used for assessing Wisconsin students<br />

through the 2012-13 school year. For the year of our analysis, the WKCE began to be phased out in<br />

favor of the Badger Exam, which <strong>better</strong> aligned with new federal Common Core standards. For 2014-<br />

2015, students took the WKCE for science and the Badger Exam for math. While these separate<br />

tests do not allow for comparability across academic subjects, they are reasonable for the comparisons<br />

within tests which we utilize here. Because the WKCE was taken in 4th, 8th, and 10th grade,<br />

we only use the 4th and 8th grade results from the Badger Exam to increase comparability as much<br />

as possible. 16<br />

WKCE scores are reported by the Department of Public Instruction in four categories: “minimal performance,”<br />

“basic,” “proficient,” and “advanced.” We create a four-point scale from these categories<br />

where ‘1’ is equivalent to “minimal performance” and ‘4’ is equivalent to “advanced.” These scores<br />

are then averaged across the students in the school who participated in the exam.<br />

Our main independent variables are several binary variables that take on a value of ‘1’ or ‘0’ for<br />

school type (instrumentality charter, non-instrumentality charter, and independent charter). Analysis<br />

#1 uses this information to create efficiency scores at the individual school level. This school-level<br />

efficiency score is the average of Badger Exam scores at the school divided by the level of funding<br />

that school receives, which is determined by school type.<br />

In order to ensure that we are making ‘apples to apples’ comparisons, in Analysis #2, we include<br />

a number of control variables that could plausibly offer alternative explanations for student performance.<br />

These variables that we control for include the grade level of the students (4th, 8th or 10th<br />

grade), the percentage of the students in the school who are non-white, the percentage of the student<br />

in the school receiving free or reduced lunch, and the percentage of the students in the school who<br />

are English language learners. Disabled students take a separate version of the WKCE and Badger<br />

Exam, and are excluded from these analyses. An efficiency score by school type is calculated<br />

through a two-step process in Analysis #2.<br />

First, our key variables highlighted above are regressed on the school’s average exam score in each<br />

grade level studied:<br />

(1)<br />

The coefficient estimates are interpreted as relative to the excluded baseline group, traditional public<br />

Bang for the Buck<br />

8

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