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Perceived submaximal force production in
young adult males and females
ALLEN W. JACKSON and ROD K. DISHMAN
University of North Texas; and University of Georgia, Athens
ABSTRACT
JACKSON, A. W. and R. K. DISHMAN. Perceived submaximal force production in young adult males and females. Med. Sci. Sports
Exerc., Vol. 32, No. 3, pp. 448 – 451, 2000. Clinical treatment in physical rehabilitation routinely uses perceived relative forces.
Purpose: This study used psychophysical methods to quantify subjects’ errors during submaximal muscular force production.
Methods: A sample of young adult (aged 23 3 yr) females (N = 60, 62 14 kg) and males (N = 50, 72 13 kg) performed a
chest press on a hydraulic dynamometer with which they were unfamiliar. In four consecutive presses with a 2-min rest interval between
each press, the subjects were asked to produce a force in the order of 25%, 50%, 75% of their maximal force, and a final maximal press.
Pilot data (N = 10) indicated good reliability (r
xx
0.80) for the protocol. Results: The rs between perceived force production and
the desired production were 0.76 (P 0.001) for males and 0.75 (P 0.001) for females. The exponent for the power function between
the perceived and desired forces was 1.12 for males and 1.03 for females. The total error ranged from 2.82 kgm (males) to 1.22 kgm
(females). The rs and the logarithmic matching of perceived and desired force indicated a linear relationship that is consistent with
Borg’s range model, which has proposed that perceptual intensities of force for different people are approximately set equal at a
subjective maximum. Conclusion: Many young healthy subjects can produce relative muscular forces with good accuracy. However,
some subjects will provide very inaccurate forces that might affect outcomes in rehabilitation or physical training. Key Words:
PERCEIVED FORCE, PERCEIVED EFFORT, ERRORS IN FORCE PRODUCTION
I
t is a common practice in physical rehabilitation medi-
cine to ask patients to produce muscular forces relative
to a perceived maximal effort. Clinical judgments about
treatment and outcome are based on the forces produced by
the patient. We were surprised that we could locate only two
studies that examined the ability of adults to accurately
perceive and produce relative muscular forces during com-
mon maneuvers involving limb movements (8,15).
Studies from the field of psychophysics indicate that
people should be able to perform such forces accurately. In
1892, classical ratio-setting techniques were first used by
Fullerton and Cattell (9) to determine whether men could
produce a handgrip force that was twice or one-half of a
standard force. Later, Stevens and Mack (21) used magni-
tude estimation and production tasks to establish that per-
ceived force during handgrip contractions grew exponen-
tially, with power exponents ranging from 1.7 to 2.0.
Relatively few psychophysical studies of force production
have been conducted since those early studies, but they have
confirmed that perceived force grows according to a power
function with the exponent ranging from about 1.4 to 1.7
during thumb opposition (5), handgrip (7,20), and leg or arm
cranking on a cycle ergometer (2,3,4,6). Those studies in-
dicate that the perception of increments in muscular force
grows exponentially, consistent with Steven’s power law
that “equal stimulus ratios yield equal response ratios” (19).
It is not possible to directly compare people’s perceptions
of force derived from ratio setting methods because a com-
mon absolute level has not been established; each person
judges the magnitude of different forces relative to a per-
sonal standard. Nonetheless, Borg’s (1) range principle that
perceptual intensities of force for different people are ap-
proximately set equal at a subjective maximum, can be
extended to predict that people who have had common
experiences with resistance forces should be able to accu-
rately produce forces representing equal ratios of their per-
ceived maximal force. That prediction has been confirmed
in a study of incremental leg ergometer cycling in which a
power exponent of 1.5 was obtained when subjects esti-
mated the degree of effort “in percent of an imagined
maximal exertion in the same type of work” (3). An exten-
sion of that finding to physical rehabilitation medicine in-
volves the comparison of forces produced by people based
on proportions of their perceived maximal forces with actual
relative forces to determine whether the forces produced are
accurate enough for clinical purposes.
Using this approach with two small groups (N = 5) of
men and women, Cooper et al. (8) reported that the growth
of percent perceived effort versus percent maximal force of
voluntary contractions of the adductor pollicis during thumb
opposition and the quadriceps femoris during static and
dynamic extension of the knee was linear, with a slope
0195-9131/00/3202-0448/0
MEDICINE & SCIENCE IN SPORTS & EXERCISE
®
Copyright © 2000 by the American College of Sports Medicine
Submitted for publication October 1998.
Accepted for publication February 1999.
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