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PANEL A: generating the random allocation sequence of “Winning Digits”
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Lottery 3/1/2011
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Lottery 2/22/2011
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Number
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Prize (millions)
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Number
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Prize (millions)
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23862
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5
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36625
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5
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19186
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0.4
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54595
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0.2
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Sort order (ascending)
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02437
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0.08
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3
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09502
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0.08
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6
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42585
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0.08
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2
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45776
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0.08
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5
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PANEL B: randomization of municipalities
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ID
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State
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Municipality
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FISM transfer (millions)
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“Ticket” Digits
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ASF
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EFSL
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07022
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Chiapas
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Comitán de Domínguez
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69
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0-1
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07028
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Chiapas
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Chenalhó
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61
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2-3
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1
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07076
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Chiapas
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Ocozocoautla de Espinosa
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68
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4-5
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1
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07092
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Chiapas
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San Cristóbal de Las Casas
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65
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6-7
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07111
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Chiapas
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Tecpatán
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59
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8-9
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08012
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Chihuahua
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Carichí
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12
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0-1
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08021
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Chihuahua
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Delicias
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15
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2-3
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1
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08030
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Chihuahua
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Guazapares
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11
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4-5
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08032
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Chihuahua
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Hidalgo del Parral
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13
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6-7
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08066
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Chihuahua
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Uruachi
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13
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8-9
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1
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- The sequence of random numbers from Panel A is: 23862, 19186, 54595, 42585, 02437, 45776, 09502. We use the first 17 winning digits to allocate one municipality by state to an audit by ASF. For example, the first winning digit in the random sequence is a 2. Because Chenalhó was allocated that “ticket” (see Panel B, Digits column), it is selected to be audited by ASF. The second winning digit in the random sequence is a 3, and so Delicias is selected, and so on for the remaining 15 states. To allocate EFSL we begin at the top again, starting with the 18th digit in the random sequence, a 5. Accordingly, Ocozocoautla de Espinosa is allocated to EFSL, and so on. Had the 18th digit been a 2 or a 3, we would have skipped that digit, moved to the next digit different from 2 or 3, and used that digit to allocate the first municipality to EFSL. One municipality cannot be assigned to both ASF and EFSL.
