In: Statistics and Probability
The Salem Board of Education wants to evaluate the efficiency of the town’s four elementary schools. The three outputs of the schools are
■ output 1 = average reading score
■ output 2 = average mathematics score
■ output 3 = average self-esteem score
The three inputs to the schools are
■ input 1 = average educational level of
mothers
(defined by highest grade completed: 12 = high
school graduate; 16 = college graduate, and so on)
■ input 2 = number of parent visits to school (per child)
■ input 3 = teacher-to-student ratio
The relevant information for the four schools is given in the file
P04_42.xlsx. Determine which (if any) schools are inefficient.
Inputs | |||
School | Input 1 | Input 2 | Input 3 |
1 | 13 | 4 | 0.05 |
2 | 14 | 5 | 0.05 |
3 | 11 | 6 | 0.06 |
4 | 15 | 8 | 0.08 |
Outputs | |||
School | Output 1 | Output 2 | Output 3 |
1 | 9 | 7 | 6 |
2 | 10 | 8 | 7 |
3 | 11 | 7 | 8 |
4 | 9 | 9 | 9 |
Input 1 | Input 2 | Input 3 | |
Unit costs of inputs | |||
Output 1 | Output 2 | Output 3 | |
Unit value of outputs | |||
Costs/prices of inputs/outputs used | |||
School | Input costs | Output values | |
1 | |||
2 | |||
3 | |||
4 | |||
Selected school input cost | |||
Selected school output value | |||
School | Efficient or not? | ||
1 | |||
2 | |||
3 | |||
4 |
Selected DEA school |