Concept Architecture
Concept
Theoretically, Technical Efficiency is the extent to which a decision-making unit maximises output from a given set of inputs or minimises inputs required to produce a given level of output. It is founded on production theory and the concept of the production frontier, where efficient producers operate on the frontier and inefficient producers operate below it. The concept exists to measure productive performance independently of prices, distinguishing operational efficiency from allocative efficiency.
Mathematically, Technical Efficiency is represented as the ratio of observed performance to frontier performance. In input-oriented models it is measured as the proportional reduction in inputs required to reach the efficient frontier, while in output-oriented models it is measured as the proportional expansion in outputs achievable using existing inputs. The efficiency score ranges from zero to one, where one represents full technical efficiency.
In practice, Technical Efficiency is estimated using frontier-based methods such as Data Envelopment Analysis (DEA) and Stochastic Frontier Analysis (SFA). In health economics it is widely applied to evaluate the performance of hospitals, clinics, health systems and other healthcare providers by comparing observed resource use with best-practice production frontiers.
Purpose
Used to measure productive performance, identify resource inefficiency, benchmark healthcare providers against best practice, evaluate operational performance, and inform resource allocation and service improvement.
Mathematical Formulae
Primary Formula
For an input-oriented measure:
TE = Minimum Inputs Required / Observed Inputs
where:
- TE = Technical Efficiency
- 0 � TE � 1
Supporting Formulae
For an output-oriented measure:
TE = Observed Output / Maximum Feasible Output
DEA input-oriented model:
TE = ?
where ? is the efficiency score obtained from the DEA optimisation problem.
Related Mathematical Methods
- Data Envelopment Analysis (DEA)
- Stochastic Frontier Analysis (SFA)
- Production Frontier Analysis
- Farrell Efficiency Measurement
- Linear Programming
Example
A hospital uses 110 nursing hours to provide a level of care that could be delivered using 100 nursing hours if operating on the efficient frontier.
TE = 100 / 110 = 0.909
The hospital has a Technical Efficiency score of 0.909, indicating that inputs could theoretically be reduced by approximately 9.1% without reducing healthcare output.
Excel Implementation
| Function | Example Formula | Health Economics Application |
|---|---|---|
| Division | =B2/C2 | Calculates Technical Efficiency from frontier and observed inputs. |
| IF | =IF(D2=1,""Efficient"",""Inefficient"") | Classifies providers relative to the production frontier. |
| ROUND | =ROUND(B2/C2,3) | Reports Technical Efficiency to three decimal places for benchmarking studies. |
VBA (Optional)
Automate calculation and reporting of Technical Efficiency scores from DEA or frontier analysis output for multiple healthcare providers.
Sources
- Farrell MJ. The Measurement of Productive Efficiency. Journal of the Royal Statistical Society Series A. 1957.
- Charnes A, Cooper WW, Rhodes E. Measuring the Efficiency of Decision Making Units. European Journal of Operational Research. 1978.
- Banker RD, Charnes A, Cooper WW. Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis. Management Science. 1984.
- Coelli TJ, Rao DSP, O'Donnell CJ, Battese GE. An Introduction to Efficiency and Productivity Analysis.
- Hollingsworth B. The Measurement of Efficiency and Productivity of Health Care Delivery. Health Economics.
Related Concepts (3)
Library
Publications
1
Public Service Productivity: Healthcare (Methodology and Estimates) — Office for National Statistics, Annual Series ed., 2024 (Office for National Statistics)
The UK Office for National Statistics’ official measurement of publicly funded healthcare productivity — quality-adjusted output relative to inputs — providing the authoritative national statistics and methodology underpinning debate on NHS efficiency and productivity.
ReportView source →
Frequently Asked Questions (6)
What is technical efficiency?
A condition in which the maximum possible output is produced from given inputs, without regard to whether those inputs serve their highest-value use.
Source: Farrell MJ. The measurement of productive efficiency. Journal of the Royal Statistical Society: Series A. 1957;120(3):253-290. doi:10.2307/2343100.
What is the difference between input-oriented and output-oriented technical efficiency?
Technical efficiency can be assessed in two directions. An input-oriented measure asks by how much inputs could be reduced while still producing the current output, whereas an output-oriented measure asks by how much output could be raised using the current inputs. The two need not give the same score unless returns to scale are constant, and the appropriate choice depends on whether a manager controls inputs or is expected to expand output. Jacobs, Smith and Street (2006) set out both orientations for measuring health provider performance.
Source: Jacobs, Smith & Street 2006
How is technical efficiency distinguished from allocative efficiency?
Technical efficiency concerns producing without waste, obtaining the most output from inputs or using the fewest inputs for an output, while allocative efficiency concerns producing the mix of outputs, or using the mix of inputs, that yields the greatest value. A unit can be technically efficient, wasting nothing, yet allocatively inefficient by efficiently producing the wrong things or using a costly input combination. Technical efficiency is about avoiding waste; allocative efficiency about choosing the right things.
Source: Farrell 1957
How is technical efficiency measured?
Technical efficiency is measured by comparing a unit's output for its inputs against the maximum attainable, represented by a frontier of best-observed practice, so that efficiency is the distance from that frontier. A unit on the frontier is technically efficient; one inside it could produce more from the same inputs. Frontier methods such as data envelopment analysis and stochastic frontier analysis estimate this, building on Farrell's idea of measuring efficiency relative to best practice.
Source: Farrell 1957
Why does technical efficiency matter in health care?
Technical efficiency matters because health resources are scarce, so producing the most output from given inputs means the same resources provide more care. Technical inefficiency represents inputs consumed for no additional output, resources that could have provided care elsewhere, so it is health forgone. Improving technical efficiency increases what a system delivers from its existing resources, which is why it is a central concern of efficiency analysis and of the management of providers.
Source: Farrell 1957
What are the limitations of focusing on technical efficiency alone?
Focusing on technical efficiency alone can approve a unit that produces without waste while producing the wrong mix of outputs, since it ignores whether the outputs are the most valued, which is the concern of allocative efficiency. It also takes no account of quality, so raising measured output can lower care if quality is not held constant. Technical efficiency is a necessary part of using resources well, but not sufficient on its own.
Source: Farrell 1957
Trust Record
Verified by Dr Darrin Baines
British health economist
Professional identity: darrinbaines.org
Verification date: 25 Aug 2025
Content version: 1.0.0
Canonical Identity
- Term code
- HE-EE_EA-054
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