Skip to content

Productivity

Understand real output per hour, calculate labour productivity growth, and distinguish capital, composition and multifactor productivity from worker effort.

Productivity measures how much output is produced relative to the inputs used. Labour productivity, the measure often meant in macroeconomic releases, is real output per hour worked. For a quant analyst, that distinction matters: more production can come from more working hours, more output from each hour, or both. A rising output series alone cannot tell you which occurred.
The BLS productivity concepts distinguish labour productivity from total factor productivity, also called multifactor productivity. The denominator determines the question being answered.

Measure output per hour

Let QtQ_t be real output during a period and HtH_t the total hours worked to produce it. For Ht>0H_t>0, labour productivity is

Pt=QtHt.P_t=\frac{Q_t}{H_t}.
Use matching periods and coverage. Whole-economy GDP and hours for one industry do not form a meaningful productivity ratio. Nor does dividing nominal revenue by headcount reproduce real output per hour: revenue includes price changes, while headcount conceals differences in hours worked.
For aggregate goods and services, statisticians use real-output volume measures rather than adding unlike physical items. BLS uses real value added for large sectors such as nonfarm business, and real sectoral output for manufacturing sectors and detailed industries. Published productivity series are often indices; an index level is not a count of physical units per hour. See the BLS calculation method.

Consider a fictional producer making one unchanged product in two equal-length periods:

MeasureEarlier periodLater period
Real output, units of the same product100110
Total labour hours5050
Labour productivity, units per hour2.02.2

The productivity change is

2.22.0−1=0.10=10%.\frac{2.2}{2.0}-1=0.10=10\%.
Fictional producer: 100 units over 50 labour hours gives 2.0 units per hour; 110 units over the same 50 hours gives 2.2 units per hour, a 10% increase.
Fictional producer: 100 units over 50 labour hours gives 2.0 units per hour; 110 units over the same 50 hours gives 2.2 units per hour, a 10% increase.
Fictional equal-period example. The bars show output per hour, not total output; labour hours are unchanged.

When both numerator and denominator move, use the exact growth identity:

P1P0−1=Q1/Q0H1/H0−1.\frac{P_1}{P_0}-1 =\frac{Q_1/Q_0}{H_1/H_0}-1.

Subtracting the hours growth rate from the output growth rate is only an approximation. The ratio above is exact for these matched measures.

What the increase does—and does not—show

The producer now obtains more output from each labour hour. That does not establish that each worker is exerting more effort. Better equipment, software, skills or production organisation can raise output per hour. More capital services per hour is capital deepening: labour productivity can increase because each hour works with more or better capital. The OECD definition explicitly warns against interpreting the measure as personal effort alone.

Composition also matters. If a larger share of total hours moves to activities with higher output per hour, aggregate productivity can rise even with no improvement within either activity. A change in the workforce's education and experience can also affect measured labour input. These are reasons to investigate a headline increase before describing it as a technological breakthrough.

Multifactor productivity (MFP), or total factor productivity (TFP), compares real output with a combined input measure. Depending on the output concept and statistical framework, those inputs include labour and capital, and may include energy, materials and purchased services. Its purpose is to separate output growth from the contributions of measured inputs. It is not obtained simply by replacing hours with a headcount, and its residual is not a pure observation of technology. The RBA explainer provides the distinction and its measurement limits.

Reading a macro release

Productivity helps interpret economic growth, but a short-run rise need not establish a lasting improvement in potential output. Ask whether output grew, hours fell, or the mix of production changed. The same headline rate can accompany very different economic conditions.
For a research dataset, retain the country, sector, output concept, hours coverage, frequency, seasonal-adjustment convention and publication date alongside the value. Check the rate convention: BLS quarterly labour-productivity growth is expressed at an annual rate, whereas its annual growth compares annual periods. Those are different comparisons. Use the release vintage available at each forecast date, rather than silently giving an earlier decision access to later revisions. The BLS calculation documentation explains its period and seasonal-adjustment conventions.

Check the denominator

A second fictional producer's real output falls from 80 to 72 units, while total hours fall from 40 to 30 over equal-length periods. Did labour productivity fall?

Answer. No. Output per hour rises from 80/40=2.080/40=2.0 to 72/30=2.472/30=2.4 units per hour. Its growth is 2.4/2.0−1=0.20=20%2.4/2.0-1=0.20=20\%. Output fell by 72/80−1=−0.10=−10%72/80-1=-0.10=-10\%, but hours fell by 30/40−1=−0.25=−25%30/40-1=-0.25=-25\%. Fewer goods were produced; each remaining hour produced more. Neither result by itself identifies the cause or proves that workers became more skilled.

Sources

Last updated
  • macroeconomics
  • productivity
  • real output
  • labour hours
  • multifactor productivity
← Back to the glossaryBack to top ↑