Determining Meaningful Changes in
Gait Speed After Hip Fracture
ўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўў
Background and Purpose. Older subjects after hip fracture walk more
slowly than age-matched peers. The extent to which they walk more
slowly is difficult to define because the standard error of the measure
(SEM), sensitivity to change, and clinically important change have not
been reported for gait speed. The purposes of this study were to
quantify the SEM for habitual and fast gait speeds among older subjects
after hip fracture, to define the minimal detectable change (MDC),
and to estimate the minimal clinically important difference (MCID)
for habitual gait speed. Subjects. A sample of 92 subjects after hip
fracture was drawn from 3 studies that collected gait speed data.
Methods. An estimate of the MDC was determined by use of the SEM.
The MCID was determined from expert opinion and from a receiver
operating characteristic (ROC) curve. Results. The SEM and the MDC
were 0.08 m/s and 0.10 m/s for habitual speed and fast speed,
respectively. Both methods of MCID estimation identified 0.10 m/s as
a meaningful change in habitual gait speed. Discussion and Conclusion. The estimated MCID for gait speed of 0.10 m/s was supported by
clinical expert opinion and the cutoff point of the ROC curve.
[Palombaro KM, Craik RL, Mangione KK, Tomlinson JD. Determining
meaningful changes in gait speed after hip fracture. Phys Ther. 2006;
86:809 – 816.]
Key Words: Gait, Hip fracture, Sensitivity, Treatment outcome.
ўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўўў
Kerstin M Palombaro, Rebecca L Craik, Kathleen K Mangione, James D Tomlinson
Physical Therapy . Volume 86 . Number 6 . June 2006
809
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Research Report
䢇
T
Natural recovery of gait speed after hip fracture has been
described in the last 10 years. Prior to the late 1990s, gait
was described in terms of gross function, such as the
ability to walk 3 m (10 ft), the ability to walk outdoors, or
a return to the earlier level of function. In studies
examining recovery of gait speed at 1 year after hip
fracture, subjects demonstrated average gait speeds of
0.47 to 0.68 m/s11,12 and 0.71 to 0.99 m/s11,13,14 for
habitual speed and fast speed, respectively. A usual gait
speed of between 1.2 and 1.5 m/s is the reference
standard for adults, with age-adjusted gait speed being
reported as 1.0 to 1.2 m/s for older adults who are
healthy and similar in age to the population of people
with hip fractures.15–17 A speed of 1.2 m/s is reported to
be necessary to cross the street before the light changes
in urban settings.18,19 These walking speeds suggest that
older people after hip fracture walk more slowly than
age-matched peers.
Gait speed also has been used as a global indicator of
health and function in the geriatric literature. Geriatricians have compared gait speed with a measure of vital
signs—a screening measure that reflects the integration
of health, disease, fitness, and emotional state.20 As for
vital signs measurements, reference values have been
established; gait speed has been used to describe recovery11,21 and to establish thresholds, such as the ability to
cross the street19 or to become a successful community
ambulator.22 Gait speed has been associated with activity
levels,18,23 changes in the isometric force of lowerextremity muscles,18,24 –26 frailty,17 function,27,28 selfrated health,29 and falls.30 For elderly people with hip
fracture, slower gait speed has been associated with more
disability, lower self-efficacy for avoiding falls, and lower
Berg Balance Scale scores.30 Although there are data
that describe “normal” ranges of gait speed in elderly
people, these gait speed measures have not been accompanied by information concerning error associated with
the gait speed measures, the sensitivity of gait speed to
change, and clinically important change. A change in
walking speed could be useful as an outcome measure
for recovery after hip fracture.
For clinicians, an estimate of the error in gait speed
measurement31 and the ability to define a meaningful
change in gait speed would assist in the clinical decision-
KM Palombaro, PT, MS, is Research Associate, Department of Physical Therapy, Arcadia University, 450 S Easton Rd, Glenside, PA 19038-3295
(USA) (
[email protected]). Address all correspondence to Ms Palombaro.
RL Craik, PT, PhD, FAPTA, is Professor and Chair, Department of Physical Therapy, Arcadia University.
KK Mangione, PT, PhD, GCS, is Associate Professor, Department of Physical Therapy, Arcadia University.
JD Tomlinson, PT, MS, is Assistant Professor, Department of Physical Therapy, Arcadia University.
Dr Mangione provided concept/idea/research design and subjects. All authors provided writing. Dr Craik and Dr Mangione provided data
collection and fund procurement. Ms Palombaro provided data analysis. Dr Craik provided project management and facilities/equipment.
The institutional review boards of Arcadia University and Merck Research Laboratories approved the studies that generated the data used for this
article.
This study was funded, in part, by a Foundation for Physical Therapy Research Grant, 2000, and by a grant from the National
Center for Medical Rehabilitation Research, National Institute of Child Health and Human Development (5 R21 HD04326902).
This research was presented at the American Physical Therapy Association Annual Conference and Exposition, June 8 –11, 2005, Boston, Mass, as
part of the balance and falls platform presentations.
This article was received June 29, 2005, and was accepted January 3, 2006.
810 . Palombaro et al
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here are currently 350,000 hip fractures per year
in the United States,1 with a predicted increase
to over 650,000 per year by 2040.2 The majority
of older people with hip fracture do not return
to prefracture functional status 1 year after surgery.3–5
The extent of mobility disability, defined as the failure to
recover the ability to ambulate independently in one’s
surroundings,5 is reported consistently across studies of
residual deficits after hip fracture.6 – 8 Assistive device use
remains increased at 6 months after fracture; 42% of
patients who report independent ambulation before
fracture require at least a cane or a walker. Additionally,
56% report that they cannot walk as well as they did
before fracture.9,10 At 12 months after hip fracture,
approximately 50% of patients are not able to walk
across a small room independently.5 New dependency in
functional activities of daily living after fracture persists
through 1 year for many patients with hip fractures, with
20% needing help putting on pants, 50% needing
assistance to walk, and 90% being dependent in climbing stairs.5
ўўўўўўўўўўўўўўўўўўўўўў
Table 1.
Demographic Characteristics of Subjects (N⫽92)
Because the SEM, the MDC, and the MCID for gait
speed have not been determined for patients after hip
fracture, the purposes of this study were: (1) to quantify
the SEM for habitual and fast gait speeds among elderly
people after hip fracture and use this estimate to define
the MDC for gait speed and (2) to provide an estimate of
the MCID by use of both clinical expert opinion and
change in subject performance in a subsample of subjects who participated in an exercise trial after hip
fracture.
a
Characteristica
Value
Sex (n)
Male
Female
Missing data
21
65
6
Age (y)
X
SD
Range
Missing data
78.65
7.50
64–93
1
Body mass index
X
SD
Range
Missing data
25.21
4.65
15.79–43.59
14
Fracture side (n)
Left
Right
Missing data
40
44
8
No. of medications
X
SD
Range
Missing data
4.88
3.07
0–14
33
No. of comorbidities
X
SD
Range
Missing data
3.56
2.06
0–10
30
Months after fracture
X
SD
Range
Median
Missing data
9.24
16.97
2–120
6
3
Missing data are reported as number of subjects.
Method
Subjects
Subjects were recruited from a variety of sources and
included community volunteers responding to flyers
placed in residential buildings, participants in an exercise trial, and participants in a randomized controlled
drug trial. Inclusion criteria for all subjects included
having undergone successful fixation (partial or total
hip replacement or open reduction-open fixation) of a
hip fracture, being older than 64 years, and living at
home. Exclusion criteria included a medical history of
unstable angina or uncompensated congestive heart
failure, treatment with chemotherapy or renal dialysis,
history of stroke with residual hemiplegia, Parkinson
disease, life expectancy of less than 6 months, Folstein
mental status scores of less than 20,43 and living in a
nursing home. All subjects gave written informed consent.
A total of 92 subjects with hip fracture were included in
the sample. Their age (mean⫾SD) was 78.7⫾7.5 years,
and their body mass index was 25.2⫾4.65. The subjects
had an average of 3.6 comorbidities and took an average
of 4.9 medications. The subjects were tested at a median
of 6 months after hip fracture; the median was used
because the sample was not distributed normally. The
demographic characteristics for the subjects are shown
in Table 1. Table 2 shows a description of the types of
assistive devices used by the subjects.
Data from 3 previous studies were combined to increase
the sample size for this study. Data were collected over a
4-year period at 2 locations. Site 1 was a university
research center, and site 2 was in Nottingham,
England.44 At both sites, the GaitMat II* was used. The
* EQ Inc, Telford, PA 18969.
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making process. Without this information, clinicians
must speculate about whether a patient actually exhibited an improvement in gait speed after an intervention.
The standard error of the measure (SEM) represents the
extent to which a variable can vary in the measurement
process. Because some error is present in nearly all
measurements, it is useful to consider a range of values
for a measurement. The measurement of ⫾1 SEM
represents a 68% confidence interval. To be 95% confident about the range for a measurement, one would use
⫾1.96 ⫻ SEM. The 68% and 95% confidence intervals
both have been used to describe the minimal detectable
change (MDC) in the literature.32–35 The MDC is
defined as the amount of change in a measurement
necessary to conclude that the difference is not attributable to error; it is the smallest change that falls outside
the expected range of error.36 The minimal clinically
important difference (MCID) is the amount of change
that is clinically important to patients.37 Several methods
of estimating the MCID have been described in the
literature; these include patient self-report,36,38 clinical
expert panel consensus,39,40 and statistical manipulations, such as calculating the SEM32,33,36,38,39,41 or
receiver operating characteristic (ROC) curves.36,38,42
Table 2.
Types of Assistive Devices Used by Subjects (N⫽92)
No. of Subjects
None
Single-point cane
Narrow-base quad cane
Wide-base quad cane
Lofstrand crutches
Rolling walker
Standard walker
One Lofstrand crutch
Two single-point canes
One axillary crutch
Missing data
32
23
3
1
1
16
3
1
3
1
8
mat consists of a path 3.87 m long, 0.81 m wide, and
0.03 m thick. The walkway is divided into 40 rows and
256 columns of pressure-sensitive switches that are 15 mm
square. The switches and circuitry are covered with black
rubber. The switches are open until the foot contacts
them as the subject walks across the mat, closing and
reopening the switches. Subjects are allowed to use their
assistive devices when walking on the GaitMat II. The
time required to scan the entire array is 10 milliseconds.
The temporal resolution is 10 milliseconds and the
spatial resolution is 15 mm in both the longitudinal and
transverse directions. Comparison of gait mats showed
no significant difference for switch distances across 3
different mats at 3 different locations. An intraclass
correlation coefficient (ICC[2,1]) of .99 was reported
for validity of comparisons of temporal gait mat values
with the Vicon motion analysis system.†,45 Intraclass
correlation coefficients (ICC[3,1]) for test-retest reliability of data obtained with the GaitMat II have been
reported to range from .90 to .99 for older women
walking at a variety of speeds.46
Five physical therapists collected the gait data that were
included in this study. Each physical therapist collected
repeated measurements for frail elderly subjects who
were similar to the subjects with hip fracture to determine that their measurements had adequate reliability
before collecting trial data. The interrater reliability
coefficients (ICC[3,k]) for habitual and fast gait speeds
ranged from .94 to .99. The same physical therapist
performed all of the data analyses.
Procedure
The same procedure was used at each site to collect the
gait data. Each subject was permitted several practice
trials of walking across the mat to become familiar with
the walking surface. A trial consisted of walking over the
†
For subjects who were recruited as part of the exercise
trial, a battery of measures, including gait and the Timed
“Up & Go” Test (TUG), were collected before and after
a 12-week exercise program. The exercise program
consisted of twice-weekly exercises supervised by a physical therapist. The TUG was administered to all subjects
by the same physical therapist as described by Podsiadlo
and Richardson47: the subject is timed while rising from
an arm chair, walking 3 m, turning, walking back, and
sitting down again.
Data Analysis
Quantifying the SEM.
The SEM was calculated to
determine the MDC for gait speed in subjects after hip
fracture. The SEM was calculated by multiplying the
standard deviation of the gait speed measurements by
the square root of 1 minus the test-retest reliability
coefficient of the GaitMat II.38 The value of 1.96 ⫻ SEM
represents the 95% confidence interval and defines the
possible range of the measurements because of error. A
change of greater than 1.96 ⫻ SEM represents a change
that is unlikely to be the result of error and therefore is
an estimate of the MDC.
Estimating the MCID. Two different methods were used
to estimate the MCID: a clinical expert panel and
statistical calculation of the SEM. Five subjects were
identified by publication records as experts in the areas
of walking speed of elderly people and hip fracture. The
experts all had more than 8 years of publication history
and collectively had more than 40 peer-reviewed publications in these 2 areas. Four of the 5 experts were
physical therapists who had an average of 24.2⫾8.43
years of clinical and research experience in working with
elderly people. The experts used both instrumented
techniques for measuring gait speed and stopwatches.
The experts were asked to quantify the amount of
change in habitual gait speed considered to be a clinically meaningful change. The experts were not provided
with the results of our SEM analysis. The expert assessments of meaningful gait speed change were compared
with the MDC.
ViconPeak, 9 Spectrum Pointe Dr, Lake Forest, CA 92630.
812 . Palombaro et al
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Device
mat in 1 direction. The subject completed 3 or 4 trials at
2 different speeds. Habitual speed was tested with 2
trials, in which the subject was instructed to “walk at your
normal or comfortable pace.” Fast speed was tested with
2 trials, in which the subject was instructed to “walk as
quickly as possible without running.” Some individuals
were able to complete only one fast-speed trial or one
habitual-speed trial, but the majority of the subjects
completed 2 trials at each speed. Individually determined rest periods were given between the trials if
needed.
ўўўўўўўўўўўўўўўўўўўўўў
The SEM for the TUG time was calculated with data
from the exercise trial sample. The test-retest reliability
coefficient (ICC) was .99, and the standard deviation was
13 seconds for the exercise trial; therefore, the SEM was
1.3 seconds. With the MDC, or 1.96 ⫻ SEM, participants
were categorized as showing improvement if the TUG
time decreased by 2.5 seconds or more. Participants with
TUG change scores of less than 2.5 seconds were categorized as not showing improvement. The next step was
to find the threshold for the change in gait speed that
best discriminated between participants categorized as
showing improvement and those categorized as not
showing improvement. A range of gait speed change
values was used to categorize the participants as having
increased gait speed or not having increased gait speed
The smallest change value used was 0.01 m/s, because
this is the slowest speed that can be detected by the
GaitMat II. Incrementally larger gait speed change values of up to 0.20 m/s were used to classify subjects as
having increased gait speed The upper limit of 0.20 m/s
was chosen because this value represents twice the MCID
reported by clinical expert opinion.
The sensitivity and specificity of the classifications at
each gait speed change threshold were calculated. The
ROC curve is a graph that compares the rate at which the
threshold correctly identified participants showing
improvement (sensitivity on the y-axis) to the rate at
which participants were identified as showing improvement in gait speed but not in TUG (1 – specificity on the
x-axis). The optimal threshold was the gait speed change
Physical Therapy . Volume 86 . Number 6 . June 2006
Figure.
Receiver operating characteristic curve for the ability of the Timed “Up
& Go” Test to detect a change in gait speed.
that resulted in the largest area under the ROC curve
(the point closest to the upper left-hand corner of the
graph shown in the Figure).51
Results
The habitual gait speed (mean⫾SD) for the entire
sample was 0.66⫾0.28 m/s; habitual gait speed ranged
from 0.14 to 1.33 m/s. The fast gait speed (mean ⫾ SD)
was 0.92⫾0.35 m/s; fast gait speed ranged from 0.20 to
1.64 m/s. Four subjects were unable to perform fast gait
speed testing.
The SEM values were 0.04 m/s for habitual speed and
0.05 m/s for fast speed. To create a 95% confidence
interval for the measurement, 1.96 ⫻ SEM, or 0.08 m/s
for habitual speed and 0.10 m/s for fast gait speed, was
used. These values also represent the MDC.
The median of experts’ estimation of clinically meaningful change in habitual gait speed was 0.10 m/s (range of
0.08 to 0.16 m/s). The median of experts’ estimation was
used because the distribution was skewed; 1 expert
worked with subjects who walked considerably faster
than the other 4 experts. The MCID identified by the
ROC curve was 0.10 m/s and had a sensitivity of 0.63 and
a specificity of 0.77 for the TUG (Figure).
Discussion
The SEM for gait speed in subjects after hip fracture was
0.04 m/s. The MDC values, or 1.96 ⫻ SEM, were 0.08 m/s
Palombaro et al . 813
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In the second approach for estimating the MCID, we
compared the change in gait speed and the change in
TUG performance. One of the 3 studies mentioned
above included 29 participants who had preintervention
and postintervention gait speed and TUG assessments
related to a 12-week exercise intervention. The TUG was
chosen as the measure to determine whether a functional change had occurred. The TUG was chosen for
several reasons. This test is commonly used to examine
functional mobility in frail, community-dwelling older
adults,48 who are similar to people after hip fracture.
The time that it takes for a person to complete the test is
correlated strongly with the level of functional mobility.48 The TUG has been shown to have predictive validity
for falling and test-retest reliability.49 It contains walking
speed as one of its components but also contains other
elements, such as a sit-to-stand transfer. The correlation
(r) of TUG times and gait speed upon hospital discharge
after hip fracture repair has been reported to be .728.50
The TUG also has been shown to predict walking ability
1 year after hip fracture.11 Therefore, we believe with
95% confidence that a change in the TUG time beyond
the error of measurement represents a meaningful
change in function.
The error associated with measurement in gait speed has
not been reported in the literature describing patients
with hip fracture. We can use our estimates as a way to
compare the results reported in the literature even
though the data were collected with different measurement technologies. For example, Ingemarsson et al11
reported a change in stopwatch-timed habitual gait
speed of 0.21 m/s in their cohort study examining
subjects from hospital discharge to 1 year after hip
fracture. In a study examining the effects of intervention, Mendelsohn et al52 reported an average change of
0.15 m/s in stopwatch-timed habitual gait speed for
subjects who had hip fracture and who participated in an
average of 28 days of inpatient rehabilitation, and
Binder et al14 reported an average change of 0.32 m/s in
stopwatch-timed fast gait speed for subjects who had hip
fracture and who participated in 6 months of outpatient
rehabilitation. Hauer et al53 reported an average change
in stopwatch-timed habitual gait speed of 0.18 m/s for a
sample of subjects who participated in 2 months of
training, and Freter and Fruchter50 reported an average
change in stopwatch-timed habitual gait speed of
0.23 m/s in a sample of subjects who engaged in an
average of 109 days of inpatient orthopedic rehabilitation. Therefore, we believe that the subjects in these
studies made clinically meaningful improvements in gait
speed. However, Sherrington and Lord54 reported a
statistically significant average change of 0.05 m/s in
stopwatch-timed habitual gait speed. Our calculation of
the MDC as 0.08 m/s suggests that most of the participants in the study of Sherrington and Lord did not
experience a change in gait speed that exceeded measurement error. Therefore, we cannot be 95% confident
814 . Palombaro et al
that the changes reported by Sherrington and Lord were
meaningful according to the threshold that we established in the present study.
The literature suggests that the SEM, the MDC, and the
MCID may vary depending on baseline scores or initial
abilities of subjects.55 Our expert opinion ratings support this notion. The expert who provided the lowest
estimate for an important change worked with subjects
who were homebound after the fracture and had the
lowest average gait speed and the smallest standard
deviation. In contrast, the experts who provided the
highest estimates for an important change worked with
high-functioning subjects who were in an outpatient
exercise setting and had the highest average gait speed
and the largest standard deviation. It would be a reasonable assumption that a change of 0.08 m/s may be more
meaningful to subjects who walk at 0.40 m/s (20%
change) than to subjects who walk at 1.0 m/s (8%
change). Further work is needed to determine whether
the MCID is gait speed dependent.
There are several limitations of the present study. Gait
speed was measured over the distance of the mat (⬃3.9 m).
We believe that although this distance is short in comparison with what is needed to be independent in the
community, there are data to support the notion that
gait speed during a 4-m walk is highly related (R⫽.93) to
gait speed during a 400-m walk.56 Measurement of gait
speed for a short distance is used both clinically and in
large epidemiologic studies, such as established populations for epidemiologic studies of older subjects (2.4 m
[8 ft]) and aging and body composition studies. The use
of the GaitMat II system limits the generalizability of the
findings. The ICC(3,1) values for reliability of the GaitMat II data range from .90 to .99.46 These reliability
coefficients are higher than those of stopwatch-timed
gait speed (ICC⫽.83–.89).57 However, the validity of
data for the GaitMat II has been established with the
Vicon motion analysis system.45 Thus, our estimation of
error using the SEM in gait speed may be more similar to
those obtained with instrumented measures. Estimates
of the SEM are needed for gait speeds obtained with a
stopwatch.
Another limitation is the diversity of the sample with
respect to time after fracture. The mean time after
fracture was 9 months (range⫽2–120), but the distribution was positively skewed because of the upper limit of
120 months after fracture. However, the sample may not
be as diverse as the range of time after fracture implies.
The median and the mode were both 6 months; thus,
the majority of our measures were obtained for subjects
at or near the end of the natural recovery curve.5
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for usual speed and 0.10 m/s for fast speed. The MCID,
determined by expert opinion and ROC analysis, was
0.10 m/s. The MDC and the MCID can be used by
clinicians to assist in determining whether a patient has
experienced a real and meaningful change. Gait speeds
are compared before and after an intervention. If a
person’s gait speed changes less than 0.08 m/s, then the
gait speed is within measurement error, and it can be
concluded that there has been no change. However, if a
person’s gait speed increases 0.08 m/s or more, gait
speed is considered to be improved, and the question
that follows is whether that change is meaningful. The
MCID provides a threshold for clinical meaningfulness with which to compare a gait speed change that
is greater than measurement error. On the basis of
our analysis, we believe that people who have a hip
fracture and who improve their gait speed by at least
0.10 m/s have experienced an important change. Converting the change from meters per second to meters
per minute suggests that the subject will travel 6 m or
more in 1 minute.
ўўўўўўўўўўўўўўўўўўўўўў
Conclusion
The SEM values of gait speed after hip fracture were
0.04 m/s for habitual speed and 0.05 m/s for fast gait
speed. The MDC values were 0.08 m/s for habitual gait
speed and 0.10 m/s for fast gait speed. The MCID for
habitual gait speed after hip fracture was determined to
be 0.10 m/s by clinical expert opinion and through
calculation of an ROC curve.
18 Newman AB, Haggerty CL, Kritchevsky SB, et al. Walking performance and cardiovascular response: associations with age and morbidity—the health, aging and body composition study. J Gerontol A Biol Sci
Med Sci. 2003;58:715–720.
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