PANEL A: generating the random allocation sequence of “Winning Digits”


Lottery 3/1/2011

Lottery 2/22/2011
   

Number

Prize (millions)

Number

Prize (millions)
   

23862

5

36625

5
   
19186

0.4
     
54595

0.2

Sort order (ascending)
    
02437

0.08

3
    
09502

0.08

6
    
42585

0.08

2
    
45776

0.08

5
    
PANEL B: randomization of municipalities

ID

State

Municipality

FISM transfer (millions)

“Ticket” Digits

ASF

EFSL

07022

Chiapas

Comitán de Domínguez

69

01
  
07028

Chiapas

Chenalhó

61

23

1
 
07076

Chiapas

Ocozocoautla de Espinosa

68

45
 
1

07092

Chiapas

San Cristóbal de Las Casas

65

67
  
07111

Chiapas

Tecpatán

59

89
  
08012

Chihuahua

Carichí

12

01
  
08021

Chihuahua

Delicias

15

23

1
 
08030

Chihuahua

Guazapares

11

45
  
08032

Chihuahua

Hidalgo del Parral

13

67
  
08066

Chihuahua

Uruachi

13

89
 
1

 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 18^{th} digit in the random sequence, a 5. Accordingly, Ocozocoautla de Espinosa is allocated to EFSL, and so on. Had the 18^{th} 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.