Upload
benjaminrjohnson
View
213
Download
0
Embed Size (px)
Citation preview
STRIDER SPORTS INTERNATIONAL, INC.
CHILD ANTHROPOMETRY STUDY
South Dakota School of Mines & Technology
Rapid City, SD 57702, USA
Presented by:
Benjamin Johnson
Authors:
Bernis Berber
Anne Christensen
Benjamin Johnson
Stevey Lee
Kristy Rennick
3 May 2013
Table of Contents
Executive Summary ...................................................................................................................................... v
Introduction ................................................................................................................................................... 1
Methods ........................................................................................................................................................ 2
Anthropometric Measurements ................................................................................................................ 2
Current Bike Dimensions ......................................................................................................................... 2
Conducting Data Analysis ....................................................................................................................... 3
Results ........................................................................................................................................................... 6
Bike Dimensions ...................................................................................................................................... 6
Anthropometric Data ............................................................................................................................... 6
Discussion ..................................................................................................................................................... 9
Conclusion .................................................................................................................................................. 11
References ................................................................................................................................................... 12
Appendix .................................................................................................................................................... A1
v
Executive Summary Strider Sports International, Inc., a company that designs no-pedal bicycles for children, requested a
verification/re-design of their current SS-1 bicycle for 6 to 10 year olds. The ST-4 model for 18 months to
5 year olds was believed to be adequately sized, and from there the lab group set out to match how much
of the population was accommodated on each bicycle. Additional goals of the project included finding the
relationship between bicycle dimensions and child anthropometric measurements, calculating the
percentage of the population that the current ST-4 and SS-1 bikes actually accommodate, and determining
if either of the bikes is suitable for Japanese anthropometric measurements.
Relevant child anthropometric measurements for 1 to 10 year olds included stature (U.S. & Japan), hand
length, hand width, shoulder breadth, forward reach, upper and lower arm length, hip breadth, trunk
length, upper and lower leg length, popliteal height, and head circumference. After researching those
measurements, the lab group looked at the dimensions of the ST-4 and SS-1 bicycles, and they compared
those dimensions to the child anthropometric data collected. As a result of calculating the percentage of
children accommodated for each age group by quantifying lower and upper bounds, the team determined
which measurements did not adequately fit the majority of the child population.
The lower bounds for shoulder breadth on both bicycles, as well as the forward reach on the SS-1 bicycle,
were too high to accommodate a large percentage of the respective populations. Because the ST-4 bicycle
caused children to abduct their arms just as much as the SS-1 bicycle, the team decided they made an
inadequate assumption with the position where hands should be placed on the handlebars. However, only
8% to 54% of 6 to 8 year olds were accommodated for forward reach on the SS-1 bicycle. This position
forces children to alter their neutral posture by abducting their arms or by bending forward. By
decreasing this horizontal distance by about 3
inches, 97% to 100% of 6 to 10 year olds would be
accommodated.
The Japanese growth curve for stature was 3 to 4 inches below that of the U.S., which suggests that not all
Japanese children will fit on a Strider bicycle. It is important to fit the bike to its user, and small
modifications may cause the bikes to fit more of the Japanese population.
The initial objectives of the project were met and the team successfully redesigned the SS-1 bicycle.
Deviations from neutral posture can cause physiological harm over time, and the team hopes to help
prevent this issue in children with the new SS-1 bicycle design.
1
Introduction Strider Sports International, Inc. is a company that designs no-pedal balance bikes which enable toddlers
to learn how to ride at an early age. Their original product is a 12” bicycle, currently called the ST-4,
which is suitable for 18 months to 5 year olds. In response to a growing need for a larger model, Strider
created the prototype 16” Super Strider (SS-1) for 6 to 10 year olds. To produce this new bike, Strider
scaled up the dimensions of the original model to meet the size of its bigger users. While this may be an
efficient method of design, it assumes a fixed growth of the human body, which may not necessarily be
true.
When the project team came to Strider, the company expressed its wish to verify that the SS-1 bicycle
actually accommodates 6 to 10 year olds. As little engineering analysis had been conducted previously on
this new product, the team decided to compare the physical dimensions of the ST-4 and SS-1 with child
anthropometric measurements in order to assess how well each bike fit its respective population.
Anthropometry is the science dealing with measurement of the size, weight, and proportions of the human
body (Bush, 2012). These measurements can be taken from a population and compared to design
dimensions in order to adjust for a broader population of consumers. In essence, it is simply a tool which
helps a designer fit his or her product to an individual person or group of people.
As people are each unique in their physical dimensions, large data sets of anthropometric measurements
are paramount to determining the range of possible measurements for an age group. For individual data
points in a set, percentiles, or values below which a certain percentage of observations fall, are used to
compare one value to the entire group (Devore, 2011). With percentiles, a range of physical
measurements can be converted into a simple percentage of a population.
If a child is not comfortably accommodated by their bike, they may be forced into an awkward posture.
Continuous awkward posture due to an ill-fitting bike can cause repetitive stress injuries that increase in
their severity over time. To minimize the risks related to this type of condition, Strider must continue to
design its products around its users, implementing a wide range of adjustability. A flexible design creates
a larger window for users to fall within, meaning that a greater percentage of young children will be
comfortably and safely riding their Strider bicycles.
The purpose of this project was to propose re-designed specifications for the SS-1 Strider bicycle. Related
objectives included finding the relationship between bicycle dimensions and child anthropometric
measurements, calculating the percentage of the population that the current ST-4 and SS-1 bikes actually
accommodate, and determining if either of the bikes is suitable for Japanese anthropometric
measurements. By comparing the accommodation percentage between the two bikes, the lab group was
able to determine if any problems existed with the SS-1 design and recommend what changes to make
when designing a potential SS-2 bicycle.
2
Methods Anthropometric Measurements
The lab group began the project by identifying relevant child anthropometric measurements and searching
for existing research on 1 to 10 year olds. When determining which measurements to study, the group
focused on lengths and widths crucial to being able to ride a bike. For example, without a long enough
arm reach or leg length, a child is unable to reach either the handlebars or the ground. Figure 1, below,
displays several of these measurements of interest.
Figure 1: Bike Measurements
The complete list of researched measurements was as follows:
Stature (U.S. & Japan)
Hand Length
Hand Width
Shoulder Breadth
Leg Length
Reach
Upper and Lower Arm Length
Hip Breadth
Trunk Length
Upper and Lower Leg Length
Popliteal Height
Head Circumference
Existing anthropometric data sets were discovered through the utilization of the Devereaux Library and
Google Scholar. In order for a source to be usable, the lab group verified that the summary statistics
included a mean, standard deviation, and number of observations for each age group. These values
allowed percentiles to be derived later on in the procedure, which was paramount in determining the
percentage of children who were accommodated by each bike.
Current Bike Dimensions
After conducting ample child measurement research, the lab group assessed the dimensions of the ST-4
and SS-1 bicycles. Strider Sports International, Inc. provided CAD drawings to aid in this process.
Additionally, the group manipulated these files in AutoCAD to obtain values for the arm reach and
handlebar-to-handbrake distances, both in inches. On the next page, Figures 2 and 3 show the bikes in
two stationary positions where the handlebars and seat are in their minimum and maximum adjustment
levels, respectively.
3
Figure 2: ST-4 Dimensions
Figure 3: SS-1 Dimensions
Conducting Data Analysis
Finding the relationships between child anthropometric measurements and bike dimensions comprised the
bulk of the entire procedure. To calculate the percentage of children accommodated for each age group,
the lab group determined a lower and upper bound that a given child must fall between in order to
comfortably ride the bike. For example, a child with short arms may be unable to reach the handlebars,
but another child with long arms may be forced into an uncomfortable position if they must bend their
arms at an extreme angle.
Lower bounds were estimated by observing bike dimensions at the lowest adjustability setting (i.e. seat
and handlebars completely down) with the upper bounds being determined at the highest adjustability
setting. These bounds were calculated for different ages for each of the possible anthropometric
measurements. Often, the lab group found that a measurement did not have both a feasible upper and
lower bound. This meant that the 1st percentile child for a lower bound or the 99
th percentile child for an
upper bound did not have a value that was too extreme; for example, while a child must have a long
enough leg length to reach the ground, even a 99th percentile child would not have a leg length that is
considered too long, and they would still fit comfortably on the bike for that measurement.
However, before calculating bounds, the lab group needed to convert the bike dimensions into values that
equated to child measurements. While the direct bike dimensions did not precisely correspond with child
4
measurements, there were some measurements that were closely related, such as hand length, hand width,
and leg length. For hand and leg lengths, the lab group determined the bounds by checking the distances
from the handlebar to handbrake and seat to floor, respectively. However, in addition to the 2 inch
distance from the handlebars of the SS-1 to the handbrake, a total hand length of at least 4 inches is
required in order to both reach across this distance and hang onto the bar itself. Additionally, to calculate
the leg length lower bound, values of 2 and 3 inches were added to the seat heights of 11 and 19.6 inches
in order to account for the distance from a child’s outer trochanter to their inseam. Hand width was a
simpler measurement to compare, as the upper bound was calculated by simply determining the width of
the hand grips.
Other anthropometric measurements, like arm reach and shoulder breadth, were harder to relate to the
bike dimensions, so the lab group derived equations to better compare these values to one another. For
shoulder breadth, the lab group first assumed that most children place their hands in-line with their
shoulders when riding a bike. They then compared the average hand width for a child with the width of
the hand grip to see how often this was possible. Figures 4 and 5 below display visual representations of
the handlebar, relating to shoulder breadth bounds.
Figure 4: ST-4 Handlebars Figure 5: SS-1 Handlebars
To translate bike dimensions into forward reach bounds, the lab group made assumptions about the
possible arm angles a child could demonstrate. By observing several children on the ST-4 bicycle, the
experimenters found that a comfortable range for bent arms was between 90 and 160 . This postulation
assumes that children outside of this range would likely be uncomfortable and unable to effectively
maneuver the bicycle in the intended manner. For instance, a child with shorter arms would not be
comfortable reaching out at 180 (arms straight out), and a child with longer arms would not be
comfortable compressing their reach at a 60 angle between his or her arms.
After the angles were determined, the average lengths of upper and lower arm for children age 2 and 6
were placed at an angle of 160 to generate the third unknown length for the triangle. Likewise, the
lengths for the 5 and 10 year old were added to the triangle to find the hypotenuse length. By comparing
the ratio of a child’s extended arms to the hypotenuse length between the shoulder and the wrist, the lab
group was able to calculate a scaling factor which could be multiplied by the handlebar to shoulder
distance displayed in Figures 2 and 3. Figure 6 on the next page illustrates the calculation of the
hypotenuse lengths, crucial to determining the forward reach boundaries.
5
Figure 6: Forward Reach Lower and Upper Bounds
Measurements such as hip breadth, popliteal height, and head circumference were either outside the scope
of this project or admittedly too difficult to compare to direct bike dimensions. For instance, head
circumference is mainly important when designing helmets, and popliteal height is more useful when
designing pedal bikes; hip breadth to seat ratios were simply beyond the knowledge of the lab group, and
accurate bounds could not be calculated.
The lab group decided that hand length, hand width, leg length, shoulder breadth, and forward reach were
the most relevant and feasible measurements to compare against the current bike specifications. The hand
length and width measurements were important concerning children’s comfort in gripping the current
handlebars and reaching the handbrake on the SS-1. In order to even reach the ground when sitting on a
bike, a child’s leg length must be long enough to support themself. Additionally, shoulder breadth was
important in determining how far a child must spread their arms out on the bike, and forward reach was
also crucial concerning the posture in which a child would sit (e.g. bending forward to reach the
handlebar versus sitting up straight).
In addition to analyzing specific child measurements to find upper and lower bounds, the lab group
compared U.S. and Japanese stature data sets to determine whether a significant difference occurred
between the two. Ideally, the group would have performed identical bound analyses for Japanese
anthropometric values, but reliable data sets for these types of measurements could not be found. To make
this comparison, a two-sample hypothesis test was performed to calculate the difference between means.
These equations and results, along with all of the necessary information related to calculating bounds, are
found in the following section.
6
Results Bike Dimensions
Table 1, below, presents the upper and lower bounds for the ST-4 and SS-1 Strider bikes. “N/A”
indicates that a bound is not applicable for the measurement. All bound values are in inches.
Table 1: Bike Dimensions
12" Bike Lower
Bound (in.)
Upper
Bound (in.)
16" Bike Lower
Bound (in.)
Upper
Bound (in.)
Hand Length N/A N/A Hand Length 4 N/A
Hand Width 0 2.9 Hand Width 0 4
Shoulder Breadth 9.8 11.55 Shoulder Breadth 12.36 15.24
Leg Length 13 N/A Leg Length 22.6 N/A
Forward Reach 10.46 19.56 Forward Reach 20.71 36.3
While hand length, hand width, and leg length bounds were closely related to direct bike dimensions,
more complex calculations were performed to obtain the bounds for shoulder breadth and forward reach.
Shoulder breadth was calculated by measuring the handlebar and obtaining hand width measurements.
The following equations were used to estimate the lower and upper bounds:
(1)
(2)
where B represents the distance between the inside of the handlebars, D represents the distance between
the outside of the handlebars, and HW represents the mean hand width for children aged 1-2 (lower bound
for ST-4) and 5 (upper bound for ST-4). The same equations were used for the SS-1 bike.
To estimate forward reach bounds, the experimenters measured the distances from the handlebars to the
shoulders, shown in Figures 2 and 3, and they also compared extended arm reach to bent arm reach.
Equations (3) and (4) were derived by the lab group to make these calculations, and the law of cosines,
equation (5), was essential in determining bent arm reach (Math Warehouse, 2013). They are displayed
below:
ddd
(3)
√ (4)
√ (5)
where H represents the measured distance from handlebars to shoulders, A represents the mean upper arm
length, B represents the mean lower arm length, and C represents the calculated bent arm distance. In
order to estimate bounds, the angles between arms were assumed to be between 160 and 90 for lower
and upper bounds, respectively. Additionally, the lab group assumed a static hand position on the
handlebars and static back posture.
Anthropometric Data
Table 2 shows stature measurements for U.S. and Japanese children from left to right, respectively. CDC
Data was not available for children less than 2 years old, but summary statistics are displayed for each
other age through 10 years old. Mean and standard deviation values are all in inches.
7
Table 2: Stature Measurements for U.S. and Japan
Sources: Anthropometric Reference Data for Children and Adults: United States, 2007–2010
Research Institute of Human Engineering for Quality Life
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
1 35 29.03 1.43
2 542 35.88 0.32 2 40 32.51 1.34
3 391 38.90 0.15 3 55 36.36 1.66
4 444 41.60 0.29 4 195 39.40 1.35
5 382 44.56 0.29 5 176 41.81 1.72
6 370 46.95 0.19 6 184 44.73 1.96
7 422 49.22 0.25 7 74 47.07 1.78
8 413 51.75 0.30 8 53 49.09 2.14
9 395 54.11 0.33 9 31 51.14 2.40
10 380 56.44 0.49 10 16 53.60 2.63
The US data was originally divided into two tables, one each for males and females, but the
experimenters combined these data sets to better compare Americans to Japanese children. The three
equations below were used to re-calculate the table values (Searle, 1983):
(6)
1 1 2 2
1x n x n x
n (7)
2 2 2 21 21 1 1 1 1 2
1( 1) ( 1) ( )
1
n ns n s n s x x
n n
(8)
where n represents the number of participants, represents the mean, and s represents the standard
deviation. The subscripts indicate which data set the value correlates to, and the lack of said subscript
indicates that the value represents the combined set. The individual male and female stature data sets for
U.S. children are exhibited in the Appendix.
Table 3: Stature Hypothesis Tests
Age Z-score P-value
2 -15.84 8.67E-57
3 -11.32 5.42E-30
4 -22.42 1.3E-111
5 -21.11 3.2E-99
6 -15.30 3.55E-53
7 -10.37 1.64E-25
8 -9.04 7.94E-20
9 -6.88 3E-12
10 -4.31 8.04E-06
Table 3 displays the results of multiple hypothesis tests to determine the difference between the US and
Japanese stature measurements. Z-scores and p-values were calculated by the two equations on the
following page (Devore, 2011):
8
ddddd
(9)
(10)
where n, , and s represent the same statistics as in equations 6-8, but now represent values for U.S. and
Japanese measurements, respectively subscripted 1 and 2. Additionally, is simply a function of the
normal distribution; p can also be solved by inputting Z into the “normsdist()” function in Microsoft
Excel. Below, Figure 7 displays a graphical representation of mean stature measurements for U.S. and
Japanese children.
Figure 7: Mean Stature Measurements for U.S. and Japan
On the next page, Table 4 shows the forward reach measurements for U.S. children aged 3 to 10 (ages 1
and 2 were not available). The upper and lower percentiles represent the cutoff values for the percentage
of children who are able to ride the bike without adjusting their back or arm postures. They were
calculated via the following equations:
(11)
(12)
where LB and UB represent the lower and upper bounds from Table 1, represents sample mean, and s
represents sample standard deviation. The experimenters were careful to use both sets of upper and lower
bounds in calculating the percentiles, as the ST-4 has different bounds for 18 months to 5 year olds than
the SS-1 has for 5 to 10 year olds. The same equations were used to find the percentiles for each of the
other measurements related to the bike measurements in Table 1. All of the additional anthropometric
data not depicted within this section is available in the Appendix at the end of the report. Mean and
standard deviation values are all in inches for all of these measurements, and all percentile values are
given in percentages.
25.00
30.00
35.00
40.00
45.00
50.00
55.00
60.00
0 2 4 6 8 10 12
Me
an S
tatu
re (
in.)
Age (years)
Stature Measurements for U.S. and Japan
US Japan
9
Table 4: Forward Reach Measurements
Source: Infant, child and teenager anthropometry for product safety design
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Lower
Percentile
Upper
Percentile
3 62 15.63 1.30 0% 100%
4 77 17.20 1.42 0% 95%
5 74 17.87 1.34 0% 90%
6 76 19.09 1.14 92% 100%
7 74 19.96 1.26 72% 100%
8 64 20.83 1.06 46% 100%
9 60 21.85 1.61 24% 100%
10 74 22.72 1.30 6% 100%
Discussion The hand length, hand width, and leg length measurements, displayed in Tables 6, 7, and 9 in the
Appendix, met at least 95% of the general population for all age groups for each bicycle. For re-design
purposes, changing these values would not substantially increase the comfortable accommodation
percentages. The lab group chose to concentrate instead on the shoulder breadth and arm reach
measurements.
A first glance at the shoulder breadth accommodation percentages in Table 8 revealed some concerns
regarding the current bicycle designs. For 2 and 6 year olds, nearly everyone within the population did not
fit within the comfortable range. This means that the majority of children on both the ST-4 and SS-1 bikes
need to compensate by abducting their arms to reach outward. The lab group performed the shoulder
breadth analysis by assuming that a child’s hands should be in neutral position when they are lined up
where their shoulders, but the results suggested that this assumption is untrue. As the accommodation
percentages of the SS-1 are very similar to those of the ST-4, the current handlebar design is most likely
adequate if Strider believes that the ST-4 specifications are suitable. However, if Strider wishes to meet
the lab group’s assumption, then the handlebars of any future products should extend further inward to
allow the users to reach forward more easily.
Concerning forward arm reach measurements in Table 4, the current ST-4 bicycle seemed to comfortably
accommodate 100% of 3 year olds but only 90% of 5 years old. However, this accommodation percentage
was also based off of assumptions of the lab group, and a child with long arms would most likely be able
to adjust to the bike without risking serious injury. Positioning the handlebars a fraction of an inch further
away would accommodate nearly every child within the intended age range, but the current results
suggested that the top 10% of children are bending their arms at an angle slightly less than 90 in-between.
The biggest discrepancy found when comparing the bikes existed in the forward reach for the SS-1. The
results indicated that this bicycle only accommodates 8% of age 6 children and steadily accommodates
more children as they reach the age of 10; these percentages fall far short of the 90% accommodation
levels of the ST-4. In this case, the distance from the shoulders to the handlebars is larger than the
reaching distance the average child can attain. While this doesn’t necessarily mean that these children are
unable to ride the SS-1 bicycle entirely, the results suggested that they are compensating for this distance
by arching their backs forward, thereby positioning themselves closer to the handlebars. This posture may
be suitable for adults on pedal bikes, as leaning forward re-distributes the rider’s weight and forces less
strain toward the rear, but it can be a dangerous pose for young children. A hunched back creates more
torque within the human body and can result in serious injuries from the increased burden over time.
10
Below, Figures 8 and 9 show the distinction between the intended neutral posture of the back compared
with a bent, non-neutral position.
Figure 8: Neutral Posture Figure 9: Non-Neutral Posture
While redesigning the SS-1 bicycle, the lab group focused on the neutral position of U.S. children
between ages 6 and 10. As the accommodation percentages were quite high for hand length, hand width,
and leg length, and they were similar to the ST-4 for shoulder breadth, the re-design revolved around
improving the percentages for forward reach. Below, Figure 10 displays the existing reach from the
handlebars to the shoulders compared to the distance associated with the proposed modifications; this
figure also displays the current horizontal distance from the handlebars to the center of the seat and new
distance for the proposed design.
Figure 10: Existing and Revised SS-1 Dimensions
Decreasing this horizontal distance by roughly 3
inches yielded a new lower bound of 17 inches and a
new upper bound of 32.63 inches. When substituted into the percentile equations, these values resulted in
accommodation percentages of at least 97% for each age group.
Figures 11 and 12, at the top of the next page, compare the accommodation percentages of the current
and revised SS-1 designs, and Table 17 at the end of the Appendix displays the revised forward reach
data in tabular form.
θ = 5.675°
11
Figure 11: Forward Reach Percentage Figure 12: Revised Forward Reach Percentage
The team also evaluated differences between U.S. and Japanese children. As seen in Figure 7, there was a
consistent 3 to 4 inch mean height difference with Japanese children lagging behind U.S. children.
Interestingly, the growth curves are fairly linear through age 10, but the U.S. curve has a larger y-
intercept. This trend indicates that Japanese children simply start out smaller and generally stay shorter
than U.S. children. The hypothesis tests in Table 3 verify this conclusion, as the extremely small p-values
reveal that the difference between the two means is statistically significant; in other words, the probability
of the means being equal is quite small.
Regarding the current design of Strider bicycles, the Japanese growth curve suggests that not all Japanese
children will fit on a Strider bicycle. It is possible that small modifications to the ST-4 and/or SS-1
designs could compensate more of the Japanese population. However, the lab group was unable to
pinpoint which specific measurements might be significantly smaller. Before developing any potential re-
designs for Japanese children, individual measurements must be investigated to verify the hypothesis that
the current bikes have low accommodation percentages.
Conclusion An anthropometric analysis of the ST-4 and SS-1 bicycles suggested that the shoulder breadth and
forward arm reach measurements are not adequately accommodated by the current designs. The
experimenters took into consideration that Strider Sports was satisfied with the current ST-4, and they
most likely misinterpreted neutral hand placement on the handlebars. However, if Strider would like to
change this to accommodate children to place hands in-line with their shoulders, then the interior rubber
gasket on the handlebars of both bikes should be extended inwards to allow for that hand position.
To appropriately accommodate for forward reach on the SS-1 bike, the lab group recommends adjusting
the distance between the handlebars and the seat. Decreasing the horizontal distance by 3 2/3 inches
would considerably increase the percentage of children accommodated for forward reach. This could be
done by shortening the main support bar, by curving the handlebars toward the seat, or by implementing a
combination of these two suggestions.
Relating international data to bicycle design, the lab group determined that U.S. children are statistically
taller than their Japanese counterparts. The difference in stature suggested that smaller bike designs might
comfortably accommodate a larger percentage of Japanese children. The experimenters recommend
obtaining such Japanese anthropometric data in order to perform a similar accommodation analysis.
The lab group successfully met its initial objectives of proposing revised specifications to Strider by
analyzing the current bike designs and comparing the accommodation percentages. The most important
thing kept in mind while redesigning the SS-1 bicycle was the idea of fitting the bike to the child.
Currently, bicycle users have to adjust a lot for the 16 inch bicycle. It should be simple and comfortable to
ride the bicycle, not forcing the rider to lean forward or abduct their arms excessively on the handlebars.
The proposed forward reach modification could alleviate the risks associated with awkward posture and
make the riders feel more comfortable.
100% 95% 90%
8% 28%
54% 76%
94%
0%
50%
100%
3 4 5 6 7 8 9 10
Percentage Accommodated for Forward Reach
100% 95% 90% 97% 99% 100% 100% 100%
0%
50%
100%
3 4 5 6 7 8 9 10
Percentage Accommodated for Forward Reach
Age Age
12
References
Bush, P. (2012). Ergonomics: Foundational Principles, Applications, and Technologies. Boca
Raton, FL: CRC Press.
Center for Disease Control and Prevention. (n.d.). Anthropometric Reference Data for Children
and Adults: United States, 2007–2010 and 1988-1994. CDC Monitoring the Nation's Health.
Retrieved March 23, 2013, from http://www.cdc.gov/nchs/data/series/sr_11/sr11_252.pdf
Devore, J. L. (2011). Probability and Statistics for Engineering and the Sciences. Monterey,
Calif.: Brooks/Cole Pub. Co.
Gunnell, D., Smith, G., Frankel, S., Kemp, M., & Peters, T. (2002,). Socio-economic and dietary
influences on leg length and trunk length in childhood: a reanalysis of the Carnegie (Boyd Orr)
survey of diet and health in prewar Britain (1937–39) - Gunnell - 2002 - Paediatric and Perinatal
Epidemiology - Wiley Online Librar. Wiley Online Library. Retrieved May 1, 2013,
from http://onlinelibrary.wiley.com/doi/10.1046/j.1365-3016.1998.0120s1096.x/abstract
The Japan Machinery Federation. (n.d.). Research Institute of Human Engineering for Quality
Life. Retrieved March 24, 2013, from www.hql.jp/research/before/pdf/children_d
Math Warehouse. (n.d.). Trigonometry. Interactive Math Activities, Demonstrations, Lessons
with definitions and examples, worksheets, Interactive Activities and other Resources. Retrieved
April 5, 2013, from http://www.mathwarehouse.com
Minor, S. (1986). JSTOR. Using Anthropometric data in design of children healthcare
environments. Retrieved March 26, 2013, from www.jstor.org/discover/10.2307
Searle, S.R. (1983). The recurrence formulae for means and variances, Teaching Statistics. 5(1),
7-10.
Snyder, R. G., Schneider, L. W., & Owings, C. L. (1978). Infant, child and teenager
anthropometry for product safety design.
Strider Sports International, Inc. (2013). ST-4 and SS-1 AutoCAD drawings. Retrieved April 11, 2013.
Weber, K., Lehman, R. J., & Schneider, L. W. (1985). Child anthropometry for restraint system
design. Ann Arbor, Mich.: University of Michigan, Transportation Research Institute.
A1
Appendix
Anthropometric Data Note: All measurements are for U.S. children. Measurements at the end of this section were not used in
this report, but they are included to assist Strider Sports International, Inc. in developing any future
projects. All means and standard deviations are in inches, and percentiles are reported as percentages
Table 5: Stature Measurements for U.S. Males and Females (Separately, From Left – Right))
Source: Anthropometric Reference Data for Children and Adults: United States, 2007–2010
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
2 285 36.14 0.15 2 257 35.59 0.16
3 202 38.94 0.14 3 189 38.86 0.15
4 244 41.81 0.17 4 200 41.34 0.18
5 205 44.76 0.22 5 177 44.33 0.18
6 193 46.97 0.18 6 177 46.93 0.20
7 215 49.37 0.17 7 207 49.06 0.21
8 210 51.81 0.26 8 203 51.69 0.33
9 190 54.29 0.35 9 205 53.94 0.19
10 197 56.02 0.25 10 183 56.89 0.20
Table 6: Hand Length Measurements
Source: Using Anthropometric data in design of children healthcare environments
Age Number of
Participants
Mean
(in.)
Standard
Deviation (in.)
Lower
Percentile
Upper
Percentile
1 309 3.6 0.15 0% 100%
2 305 3.8 0.17 0% 100%
3 185 4.3 0.12 0% 100%
4 206 4.6 0.1 0% 100%
5 231 4.9 0.13 0% 100%
6 195 5 0.14 0% 100%
7 209 5.3 0.08 0% 100%
8 142 5.5 0.09 0% 100%
9 136 5.7 0.11 0% 100%
10 157 5.9 0.09 0% 100%
A2
Table 7: Hand Width Measurements
Source: Using Anthropometric data in design of children healthcare environments
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Lower
Percentile
Upper
Percentile
1 309 1.8 0.04 0% 100%
2 305 1.9 0.05 0% 100%
3 185 2 0.02 0% 100%
4 206 2.2 0.01 0% 100%
5 231 2.2 0.01 0% 100%
6 195 2.4 0.07 0% 100%
7 209 2.5 0.04 0% 100%
8 142 2.6 0.09 0% 100%
9 136 2.7 0.04 0% 100%
10 157 2.7 0.02 0% 100%
Table 8: Shoulder Breadth Measurements
Source: Child anthropometry for restraint system design
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Lower
Percentile
Upper
Percentile
1 146 8.40 0.50 100% 100%
2 138 9.20 0.50 88% 100%
3 300 9.70 0.60 57% 100%
4 614 10.10 0.60 31% 99%
5 838 10.50 0.60 12% 96%
6 582 11.00 0.70 98% 100%
7 536 11.50 0.80 87% 100%
8 480 12.00 0.80 69% 100%
9 493 12.50 0.90 46% 100%
10 479 13.00 1.00 27% 99%
Table 9: Leg Length Measurements
Source: Socio-economic and dietary influences on leg length and trunk length in childhood
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Lower
Percentile
Upper
Percentile
2 146 17.23 1.41 0% 100%
3 202 19.83 1.46 0% 100%
4 230 21.72 1.34 0% 100%
5 279 23.54 1.57 0% 100%
6 280 25.25 1.65 5% 100%
7 260 26.75 1.65 1% 100%
8 285 28.34 1.68 0% 100%
9 259 29.80 1.89 0% 100%
10 240 31.06 1.80 0% 100%
A3
Table 10: Upper Arm Measurements
Source: Anthropometric Reference Data for Children and Adults: United States, 2007–2010
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
1 593 6.40 0.07
2 565 7.27 0.07
3 368 7.95 0.06
4 422 8.51 0.09
5 366 9.16 0.09
6 362 9.73 0.10
7 411 10.24 0.07
8 405 10.89 0.10
9 383 11.45 0.09
10 371 12.02 0.09
Table 11: Lower Arm Measurements
Source: Child anthropometry for restraint system design
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
1 111 7.8 0.4
2 114 9 0.5
3 272 10 0.6
4 602 10.7 0.6
5 846 11.2 0.6
6 585 11.9 0.7
7 539 12.5 0.7
8 485 13.2 0.7
9 505 13.8 0.8
10 488 14.4 0.8
Table 12: Hip Breadth Measurements
Source: Child anthropometry for restraint system design
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
2 44 7.30 0.60
3 88 7.60 0.50
4 164 7.90 0.50
5 256 8.10 0.50
6 214 8.50 0.60
7 225 8.90 0.80
8 190 9.40 0.80
9 249 9.80 0.90
10 251 10.20 1.00
A4
Table 13: Trunk Length Measurements
Source: Socio-economic and dietary influences on leg length and trunk length in childhood
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
2 143 16.68 1.00
3 202 17.21 0.94
4 228 17.91 0.99
5 279 18.50 0.94
6 280 19.10 0.99
7 260 19.77 0.98
8 275 20.40 0.98
9 259 20.90 0.91
10 238 21.29 1.02
Table 14: Upper Leg Measurements
Source: Anthropometric Reference Data for Children and Adults: United States, 1988-1994
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
2 1048 7.34 0.09
3 1057 8.41 0.09
4 1069 9.17 0.08
5 1044 10.01 0.11
6 553 10.81 0.12
7 538 11.50 0.17
8 507 12.30 0.15
9 548 12.95 0.13
10 548 13.63 0.17
Table 15: Popliteal Height Measurements
Source: Child anthropometry for restraint system design
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
2 113 9.6 0.6
3 266 10.9 0.6
4 585 11.9 0.7
5 817 12.7 0.7
6 578 13.6 0.8
7 534 14.5 0.8
8 479 15.5 0.9
9 500 16.3 1.0
10 480 17.0 1.0
A5
Table 16: Head Circumference Measurements
Source: Child anthropometry for restraint system design
Age Number of Participants Mean
(in.)
Standard Deviation
(in.)
1 143 18.2 0.7
2 142 19.2 0.6
3 299 19.6 0.6
4 409 19.8 0.6
5 623 19.9 0.6
6 838 20.1 0.6
7 577 20.2 0.6
8 530 20.3 0.6
9 475 20.6 0.6
10 503 20.6 0.6
Table 17: Revised Forward Reach
Age Number of
Participants
Mean
(in.)
Standard
Deviation
(in.)
Lower
Percentile
Upper
Percentile
3 62 15.63 1.30 0% 100%
4 77 17.20 1.42 0% 95%
5 74 17.87 1.34 0% 90%
6 76 19.09 1.14 3% 100%
7 74 19.96 1.26 1% 100%
8 64 20.83 1.06 0% 100%
9 60 21.85 1.61 0% 100%
10 74 22.72 1.30 0% 100%