Test, Measurement and Evaluation III: Anthropometric Measurements, Landmarks and the Measurement of Body Segments, Height, Sitting Height, Weight, Diameters, Circumferences and Skinfolds, the Body Mass Index and Ponderal Index, Somatotype and Posture Evaluation, the Testing of Physiological Phenomena, and Tests for Psychological Variables
2. Body mass index and ponderal index
The body mass index, BMI = weight in kilograms ÷ (height in metres)², relates weight to height: a 72 kg athlete 1.80 m tall has a BMI of 72 ÷ 3.24 ≈ 22.2. Its classification bands and limitations were given in Unit VI; for athletes its main limitation is that it cannot separate muscle from fat. The ponderal index relates height to the cube root of weight. In the form used in physique studies, it is height ÷ ∛weight; with height in centimetres and weight in kilograms, a person 180 cm tall weighing 64 kg (whose cube root is 4) has a ponderal index of 180 ÷ 4 = 45. In this form it is also called the height–weight ratio (HWR) and is the basis of the ectomorphy rating in the Heath–Carter somatotype; Sheldon used the same ratio with height in inches and weight in pounds (a 72-inch person weighing 216 lb has 72 ÷ 6 = 12), so values depend on the units. A higher value means a more linear, slender build. The name "ponderal index" is also used in paediatrics for a different quantity, weight ÷ height³ (Rohrer's index, in kg/m³), so the formula and units should always be stated.
3. Somatotype and posture evaluation
Somatotype is the quantification of body shape and composition. William Sheldon (1940) described three components: endomorphy (relative fatness, roundness and softness), mesomorphy (relative musculoskeletal robustness, a muscular, broad-shouldered build) and ectomorphy (relative linearity and slenderness). Each is rated, and the somatotype is written as three numbers always in that order, endomorphy–mesomorphy–ectomorphy: a 1–7–1 is an extreme mesomorph, a 2–5–2 a balanced mesomorph, and a 7–1–1 an extreme endomorph. Sheldon rated physique from standardised photographs on a 1–7 scale for each component and considered it largely fixed. The Heath–Carter method (Barbara Heath and J. E. Lindsay Carter, 1967), now standard, can be applied by anthropometry: endomorphy from the sum of the triceps, subscapular and supraspinale skinfolds, corrected for height; mesomorphy from the biepicondylar breadths of the humerus and femur, the flexed arm girth and calf girth (each corrected for skinfold) and height; and ectomorphy from the height–weight ratio. Its scale is open-ended and in half units, and the somatotype can change with training and nutrition. Ratings are plotted on a two-dimensional somatochart. Somatotype is used to describe athletes, since elite performers in many sports cluster in characteristic regions (throwers and sprinters towards mesomorphy, distance runners and high jumpers towards ecto-mesomorphy), and in talent identification.
Posture is evaluated by observation against a plumb line, from the side (ear lobe, shoulder tip, greater trochanter, just in front of the knee and just in front of the lateral malleolus) and from behind (the line should bisect the head, spine and the space between the heels, with the shoulders and hips level). The New York State Posture Rating Chart rates thirteen body areas, each scored 5 (good), 3 (fair) or 1 (poor) against illustrated standards. Other methods include photographs and silhouettes on a grid, the conformateur, flexible rulers and inclinometers for spinal curves, Adam's forward-bend test for scoliosis (a rib hump on bending forward suggests a structural curve), and footprint (podograph) tests for flat foot. Suspected structural deformities should be referred for medical examination.
4. Testing physiological phenomena and body composition
Blood pressure is measured with a sphygmomanometer and stethoscope by the auscultatory method: the cuff is inflated above systolic pressure and slowly deflated, and the first Korotkoff sounds mark the systolic pressure and their disappearance the diastolic pressure; a typical adult resting value is about 120/80 mmHg, and the difference between the two is the pulse pressure (120 − 80 = 40 mmHg). Breathing frequency is counted, unobtrusively, over a full minute; a typical resting adult rate is about 12–20 breaths per minute. Vital capacity, the largest volume that can be exhaled after a maximal inhalation, is measured with a spirometer and equals tidal volume + inspiratory reserve volume + expiratory reserve volume: 0.5 + 3.0 + 1.2 = 4.7 litres in a typical young man; it is larger in taller people and in men. Heart rate is the number of heartbeats per minute and pulse rate the number of arterial pulsations felt, normally the same; the pulse is taken at the radial artery at the wrist or the carotid at the neck, counted for 15 seconds and multiplied by 4 or for 30 seconds and multiplied by 2 (18 beats in 15 seconds is 72 per minute), or recorded with heart-rate monitors. Body temperature is about 37 °C orally, slightly lower at the armpit and higher rectally, and is measured with clinical, digital or infrared thermometers.
Body composition, the proportions of fat mass and fat-free mass, is measured by several methods. Hydrostatic (underwater) weighing, long the reference field-laboratory method, calculates body density from the loss of weight in water and converts it to percentage fat by equations such as Siri's, % fat = (495 ÷ density) − 450: a density of 1.060 g/cm³ gives 495 ÷ 1.060 − 450 ≈ 467.0 − 450 = 17.0 per cent. Air-displacement plethysmography (the Bod Pod) measures body volume by displaced air. Dual-energy X-ray absorptiometry (DEXA) measures fat, lean and bone mass regionally. Skinfold equations (such as those of Jackson and Pollock or Durnin and Womersley) predict density from skinfold thicknesses, and bioelectrical impedance analysis (BIA) estimates body water, and hence fat-free mass, from the resistance of the body to a small electrical current, which is affected by hydration.
5. Tests for psychological variables
| Variable | Instruments | Notes |
|---|---|---|
| Anxiety | Sport Competition Anxiety Test (SCAT, Martens, 1977); Competitive State Anxiety Inventory-2 (CSAI-2, 1990); State–Trait Anxiety Inventory (STAI, Spielberger) | SCAT measures competitive trait anxiety; CSAI-2 cognitive and somatic state anxiety and self-confidence |
| Aggression | Buss–Perry Aggression Questionnaire (1992); Bredemeier's Athletic Aggression Inventory; behavioural observation of fouls | General and sport-specific aggression |
| Team cohesion | Group Environment Questionnaire (GEQ, Carron, Widmeyer and Brawley, 1985); Sport Cohesiveness Questionnaire (Martens, Landers and Loy) | GEQ separates task and social cohesion |
| Achievement motivation | Sport Orientation Questionnaire (SOQ, Gill and Deeter, 1988); Willis's Sport Attitudes Inventory; Task and Ego Orientation in Sport Questionnaire (TEOSQ) | Competitiveness, win orientation and goal orientation |
| Mental toughness | Loehr's Psychological Performance Inventory (1986); MTQ48 (Clough, Earle and Sewell, 2002); Sports Mental Toughness Questionnaire (SMTQ, 2009) | MTQ48 is built on control, commitment, challenge and confidence |
| Self-efficacy | General Self-Efficacy Scale (Schwarzer and Jerusalem, 1995); Physical Self-Efficacy Scale (Ryckman and colleagues, 1982); task-specific efficacy scales | Bandura recommends scales specific to the task |
Psychological inventories are self-report instruments, so their results depend on honest answers and are open to social desirability, faking and the athlete's mood on the day. They should be used with their published instructions and norms, by people competent to interpret them, with the athlete's consent and with confidentiality; they are best used to understand and help athletes, for example in planning psychological skill training, rather than to select or exclude them. Indian adaptations and translations should be checked for their own reliability and validity.
Key takeaways
- Anthropometry follows ISAK landmarks and procedures: stature with a stadiometer in the Frankfort plane, breadths with calipers, girths with a steel tape and skinfolds with a constant-pressure caliper.
- BMI = kg ÷ m²; the ponderal index (height ÷ ∛weight) is 45 for 180 cm and 64 kg, and its value depends on the units; Rohrer's kg/m³ index shares the name.
- Somatotype is written endomorphy–mesomorphy–ectomorphy; Sheldon (1940) rated it from photographs, and the Heath–Carter method (1967) from skinfolds, breadths, girths and the height–weight ratio.
- Blood pressure is read from Korotkoff sounds; vital capacity = TV + IRV + ERV; a 15-second pulse count is multiplied by 4; Siri's equation converts density to percentage fat.
- SCAT and CSAI-2 measure anxiety, the GEQ cohesion, the SOQ achievement motivation, the MTQ48 mental toughness and the General Self-Efficacy Scale self-efficacy; all are self-report and need careful, ethical use.
Practice questions (10)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
An athlete is 180 cm tall and weighs 64 kg. Using the ponderal index as height in centimetres divided by the cube root of weight in kilograms, what is the index? Type the number.
Numerical answer — type the value.
Show answer
Answer: 45
The cube root of 64 is 4, so the index is 180 ÷ 4 = 45. Using the square root (8) gives 22.5, and dividing weight by height cubed is Rohrer's index, a different formula; the value depends on the units stated.Using Siri's equation, % fat = (495 ÷ density) − 450, what is the body-fat percentage of an athlete whose body density is 1.060 g/cm³? Type the answer to the nearest whole number.
Numerical answer — type the value.
Show answer
Answer: 17
495 ÷ 1.060 ≈ 466.98; 466.98 − 450 ≈ 16.98, which rounds to 17 per cent. Subtracting before dividing, or dividing 1.060 by 495, gives meaningless values.A student's tidal volume is 0.5 L, inspiratory reserve volume 3.0 L and expiratory reserve volume 1.2 L. What is the vital capacity in litres? Type the number.
Numerical answer — type the value.
Show answer
Answer: 4.7
Vital capacity = TV + IRV + ERV = 0.5 + 3.0 + 1.2 = 4.7 litres. Residual volume, which cannot be exhaled, is not part of vital capacity, which is why a spirometer cannot measure total lung capacity directly.A PE teacher counts 18 pulse beats at the wrist in 15 seconds. What is the pulse rate per minute? Type the number.
Numerical answer — type the value.
Show answer
Answer: 72
A 15-second count is multiplied by 4: 18 × 4 = 72 beats per minute. A 30-second count would be doubled; counting for a full minute is more accurate at rest.In the somatotype rating 1–7–1, which component is dominant?
Show answer
Answer: D — Mesomorphy
Ratings are always written endomorphy–mesomorphy–ectomorphy, so the high middle number means an extreme mesomorph, a muscular build. Reading the order differently is the usual error.In the Heath–Carter method, ectomorphy is calculated from
Show answer
Answer: C — the height–weight ratio (height ÷ cube root of weight)
Ectomorphy comes from the height–weight ratio, the ponderal index. The skinfold sum gives endomorphy, breadths and girths give mesomorphy, and photographs alone were Sheldon's original method.When blood pressure is measured by the auscultatory method, the systolic pressure is read at
Show answer
Answer: D — the first appearance of the Korotkoff sounds as the cuff is deflated
The first tapping sounds mark systolic pressure, when blood first spurts through the compressed artery; their disappearance marks diastolic pressure. The inflation pressure and the loudest sound are not the readings.Which instruments are correctly matched with the variable they measure? Select all that apply.
Show answer
Answer: A — MTQ48 — mental toughness; B — Group Environment Questionnaire — team cohesion; C — SCAT — competitive trait anxiety
The GEQ measures cohesion, SCAT competitive trait anxiety and MTQ48 mental toughness. The Harpenden caliper measures skinfold thickness, an anthropometric variable, not a psychological one.Assertion (A): Adam's forward-bend test is used mainly to measure the depth of lumbar lordosis. Reason (R): A structural scoliosis involves rotation of the vertebrae, which shows as a rib hump when the person bends forward. Choose the correct option.
Show answer
Answer: D — A is false, but R is true
A is false and R is true: Adam's test screens for scoliosis, not lordosis. Its logic is exactly R, since the vertebral rotation of a structural curve shows as a rib hump on bending forward while a functional curve tends to straighten, a sign that calls for medical referral.Which statements about anthropometric and body-composition methods are correct? Select all that apply.
Show answer
Answer: B — DEXA measures fat, lean and bone mass; C — Bioelectrical impedance estimates are affected by the subject's hydration; D — Stature is usually slightly greater in the morning than in the evening
Stature falls slightly through the day as the discs compress, BIA depends on body water and DEXA separates fat, lean and bone. Girths are measured with a flexible but non-stretchable steel tape, since a stretching tape gives unreliable readings.