Step test calculator

Score a bench step test two ways: the Harvard step test (Brouha 1943) as a Physical Efficiency Index, and the Queen's College step test (McArdle 1972) as a VO2 max estimate in mL/kg/min. Two tests, two scales — kept apart, because a recovery index is not an oxygen-uptake number.

How the math works

Both tests have you step up and down a bench at a set cadence, then read your fitness from how your heart rate recovers. They report on different scales, so this page runs them separately and never converts one into the other.

Harvard step test (Brouha 1943)

Step 30 times a minute for 5 minutes (300 s) on a 20-inch (50.8 cm) bench for men, 16-inch (40.6 cm) for women. Then sit and count your pulse over three 30-second windows — at 1–1.5, 2–2.5, and 3–3.5 minutes of recovery. The Physical Efficiency Index is:

P1, P2, P3 are the raw 30-second counts — don't double them to beats-per-minute first, or you halve the score. A faster recovery (lower counts) gives a higher PEI. Brouha's original bands: ≥90 excellent, 80–89 good, 65–79 high average, 55–64 low average, <55 poor. The PEI is a recovery-efficiency score with no unit — it is not a VO2 max.

Queen's College step test (McArdle 1972)

Step for 3 minutes on a 16.25-inch (41.3 cm) bench — 24 steps/min for men, 22 for women. Stand, wait 5 seconds, count your pulse for 15 seconds (the 5–20 s window), and multiply by 4 for your recovery heart rate. That single number feeds a sex-specific VO2 max estimate:

The 1972 paper is a study of college women, where VO2 max correlated r = −0.75 with the recovery heart rate and the test repeated well (r = 0.92). The women's equation is its direct output; the men's equation comes from the same group's companion data on college men.

Worked example

Harvard, long form (Scenario STEP1). A full 300-second test with recovery counts of 72, 64, and 53 (sum 189) on the men's 20-inch (50.8 cm) bench:

• PEI = 100 × 300 ÷ (2 × 189) = 30000 ÷ 378 = 79.4
• Rating: High average (the 65–79 band).

Queen's College, man (Scenario STEP2). A 15-second recovery count of 38 on the 16.25-inch (41.3 cm) bench → HR = 38 × 4 = 152 bpm:

• VO2max = 111.33 − 0.42 × 152 = 111.33 − 63.84 = 47.5 mL/kg/min

Queen's College, woman (Scenario STEP3). Same bench, a 15-second count of 40 → HR = 160 bpm:

• VO2max = 65.81 − 0.1847 × 160 = 65.81 − 29.552 = 36.3 mL/kg/min

Running that same 160 bpm through the men's equation would read 44.1 — the sex coefficients are not interchangeable, which is why the test asks which one to use.

When this calculator is wrong

A step test doesn't measure oxygen uptake; it measures how fast your pulse falls after a fixed amount of stepping — and everything else rides on that one recovery number. The Harvard PEI is literally a "how fast did the pulse settle" score; the Queen's College VO2 max is a single recovery heart rate run through a regression. So anything that moves heart rate independent of fitness moves the answer.

• One high reading costs several points. A recovery HR that reads 10 bpm high — from a coffee, a warm room, or a nervous first attempt — drops the Queen's College estimate by 0.42 × 10 = 4.2 mL/kg/min for a man and 1.8 for a woman, with no change in actual fitness.
• The bench height is the workload. Each protocol fixes it — Harvard 20 in (50.8 cm) men / 16 in (40.6 cm) women, Queen's College 16.25 in (41.3 cm). Step a gym plyo box a few inches off and the mechanical work per step changes, so the recovery HR the formula reads is for a test you didn't do. Match the height or the number is fiction.
• Cadence has to be metronome-steady. Both formulas assume the exact step rate. Drift faster or slower and the internal load — and the recovery HR — drifts with it. Use a metronome (Queen's College: 96 bpm for men's four-count cadence, 88 for women's).
• Don't read a PEI as a VO2 max, or either against lab norms. They are different scales built on different cohorts (Harvard on young men; Queen's College on college-age adults). The honest use is your own trend under identical conditions, not a cross-person or cross-test comparison.

The counter-case: run under identical conditions each time — same bench, same time of day, no caffeine, rested — and the recovery pulse is a cheap, honest trend. A PEI climbing or a recovery HR falling across tests is real signal. It just isn't a lab VO2 max, and shouldn't be exported as one.

What to do with the result

Treat the step test as a repeatable home benchmark, not a one-off verdict. Pick one protocol, nail the bench height and cadence, and re-test every 4–8 weeks under the same conditions. Watch the direction: a rising PEI or a falling recovery heart rate is the signal that your aerobic base is improving — cleaner than the absolute number, which carries the test's full individual error.

If you want a VO2 max you can place against population medians, cross-check the Queen's College figure on the VO2 max calculator (Cooper and Rockport field tests, with Cooper Institute age/sex references), or run a beep test. And if your main interest is the recovery itself, the heart rate recovery calculator scores the drop against its own validated cut-offs.

Common questions

What is a good step test score?

For the Harvard test, Brouha's bands put ≥90 at excellent, 80–89 good, 65–79 high average, 55–64 low average, and under 55 poor. For the Queen's College VO2 max, compare it against age- and sex-based medians (our VO2 max calculator carries the Cooper Institute values). Either way, the most useful "good" is better than your own last test under the same conditions.

How do I calculate VO2 max from a step test?

Only the Queen's College test estimates VO2 max. Take your recovery heart rate (a 15-second pulse count 5–20 seconds after a 3-minute test, times 4) and use 111.33 − 0.42 × HR for men or 65.81 − 0.1847 × HR for women. A man with a recovery HR of 152 bpm estimates 47.5 mL/kg/min. The Harvard test does not give a VO2 max — it gives a recovery index.

What's the difference between the Harvard and Queen's College step tests?

Different bench, cadence, duration, and output. Harvard: 20/16-inch bench, 30 steps/min, 5 minutes, scored as a dimensionless Physical Efficiency Index from how fast the pulse recovers. Queen's College: 16.25-inch bench, 24/22 steps/min, 3 minutes, scored as a VO2 max estimate in mL/kg/min from one recovery heart rate. The two numbers are on different scales and don't convert into each other.

Long form or short form for the Harvard test?

The long form uses three recovery pulse counts (at 1–1.5, 2–2.5, 3–3.5 min) and divides by 2 × their sum; it's the more reliable version because it samples recovery three times. The short form uses just the first count and a 5.5 divisor — quicker, but it reads recovery from a single window. Use the long form when you can.

Does the step height really matter?

Yes — it's the test's workload, not a detail. The formulas assume you did the exact work per step the protocol specifies (20 in for Harvard men, 16 in for Harvard women, 16.25 in for Queen's College). A taller or shorter box changes how hard your heart works, so the recovery reading no longer matches the equation. If your bench is a different height, the score is for a test the formula wasn't built for.

Why does the Queen's College test ask my sex?

Because the two equations have different coefficients. The women's equation (65.81 − 0.1847 × HR) is the direct output of McArdle's 1972 college-women study; the men's (111.33 − 0.42 × HR) comes from the same group's companion data on college men. Running one sex's recovery HR through the other's equation gives a meaningfully different, wrong answer — a 160 bpm reads 36.3 on the women's equation but 44.1 on the men's.