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SourcesA: Every student has identical cost profile.Model_A1B: Students have modest variability of cost profiles.Model_B1C: Students have extreme variability of cost profiles.Model_C1
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DPI FAQ Choice ProgramIn each Model_#1, the private school is effectively compelled to accept the students who apply to their school without regards to the cost of educating them.
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Student
Cost_toEducate
Funds_toTransfer
SchoolToAttendStudent
Cost_toEducate
Funds_toTransfer
School_ToAttendStudent
Cost_toEducate
Funds_toTransfer
School_ToAttend
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This model is for illustrative purposes. While the voucher funds per student is a real value (check reference), I have made up the Cost_toEducate values in an effort to understand how variability at the student level results in surplus discrepancies. I've used a population of 19 students, and for each lettered model, I have varied the cost_toEducate while maintaining the average. I assume that, for models B & C, that a student who costs more than the funding, that a private school would reject the student, and a public school would therefore be required to educate the student. I would like to understand how variable each student cost actually is in reality, but I wasn't able to drum up decent data on that in a short time frame.Average$10,877$10,877Average$10,877$10,877Average$10,877$10,877
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Median$10,877$10,877Median$10,877$10,877Median$2,583$10,877
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Max$10,877$10,877Max$12,877$10,877Max$72,332$10,877
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Min$10,877$10,877Min$8,877$10,877Min$2,583$10,877
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SchoolCostsFundsSurplusSchoolCostsFundsSurplusSchoolCostsFundsSurplus
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Public School$108,770$108,770$0Public School$108,770$108,770$0Public School$134,331$108,770-$25,561
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Private School$97,893$97,893$0Private School$97,893$97,893$0Private School$72,332$97,893$25,561
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A: Every student has identical cost profile.Model_A2B: Students have modest variability of cost profiles.Model_B2C: Students have extreme variability of cost profiles.Model_C2
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In each Model_#2, the private school chooses the students that are most likely to provide a surplus (i.e profit margin) from the funding that comes with the student.
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Student
Cost_toEducate
Funds_toTransfer
SchoolToAttendStudent
Cost_toEducate
Funds_toTransfer
School_ToAttendStudent
Cost_toEducate
Funds_toTransfer
School_ToAttend
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Average$10,877$10,877Average$10,877$10,877Average$10,877$10,877
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Median$10,877$10,877Median$10,877$10,877Median$2,583$10,877
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Max$10,877$10,877Max$12,877$10,877Max$72,332$10,877
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Min$10,877$10,877Min$8,877$10,877Min$2,583$10,877
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SchoolCostsFundsSurplusSchoolCostsFundsSurplusSchoolCostsFundsSurplus
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Public School$108,770$108,770$0Public School$169,155$163,155-$6,000Public School$185,997$119,647-$66,350
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Private School$97,893$97,893$0Private School$37,508$43,508$6,000Private School$20,666$87,016$66,350