Calculator · The method behind TallPath

Khamis-Roche calculator

Your height
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Mother's height
ftin
Father's height
ftin

Your result

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Shown as a 90% range: the adult height lands inside it 9 times out of 10. Heights and weight are never sent anywhere.

Short answer

The Khamis-Roche method predicts adult height from a child's age, current height, current weight and mid-parent height, without a bone-age X-ray. It was published in Pediatrics in 1994 by Harry Khamis and Alex Roche and covers ages 4 to 17½. Its 90% error is about ±5.3 cm for boys and ±4.3 cm for girls.

Reviewed · 3 sources · Not medical advice

The method, step by step

  1. Average the mother's and father's heights to get mid-parent height.
  2. Round the child's age to the nearest half-year and look up that row of coefficients for their sex.
  3. Multiply height (inches), weight (pounds) and mid-parent height (inches) by their coefficients and add the intercept.
  4. The sum is the predicted adult height in inches. Apply the method's error to get a range.

Where the coefficients come from

Khamis and Roche fitted the model to the Fels Longitudinal Study: 223 boys and 210 girls from southwest Ohio, measured every six months until they stopped growing. Earlier methods (Roche-Wainer-Thissen, Bayley-Pinneau) needed skeletal age from a hand X-ray. Khamis-Roche replaced it with weight and mid-parent height, so anyone with a tape measure and a scale can use it.

This calculator uses the erratum-corrected coefficients and snaps age to the nearest half-year, the same way the TallPath app does. It runs in your browser; nothing is sent to a server.

How weight enters the prediction

At most ages the weight coefficient is small and negative: two children of the same age and height, the heavier one tends to be further through puberty with less growth left. That is why the calculator asks for weight even though weight itself doesn't make anyone taller.

Questions people ask

What is the Khamis-Roche formula?

Predicted adult height (in) = β0 + β1 × height (in) + β2 × weight (lb) + β3 × mid-parent height (in). The four coefficients differ by sex and by half-year of age, from 4.0 to 17.5.

Is Khamis-Roche accurate?

For the population it was built on, 90% of predictions fall within about 2.1 in (5.3 cm) for boys and 1.7 in (4.3 cm) for girls, only slightly worse than methods that need a hand X-ray.

Who is the Khamis-Roche method not valid for?

The authors limit it to white American children without conditions that affect growth. It is less reliable for children with growth disorders, very early or late puberty, or different ancestry.

Why do some Khamis-Roche calculators give different answers?

The original 1994 coefficient tables contained errors, corrected in a 1995 erratum. Calculators built on the uncorrected table, or that interpolate between ages, can disagree by a centimetre or more.

Sources

  1. Khamis HJ, Roche AF. Predicting adult stature without using skeletal age: the Khamis-Roche method. Pediatrics 1994;94(4):504–507 (erratum 1995;95:457)
  2. CDC. Growth charts (2000 stature-for-age, ages 2 to 20)
  3. Hospital for Special Surgery. Is it possible to predict a child's adult height?

Your exact number and a daily plan

TallPath runs the same prediction from a 2-minute quiz, shows where you'll likely land inside the range, and builds a daily sleep, food and posture plan around it.

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