Cover Page Table of Contents Introduction .................................................................................................................... 1 Objectives ...................................................................................................................... 1 Procedure ....................................................................................................................... 1 Equipment ...................................................................................................................... 2 Results ............................................................................................................................ 4 Calculations.................................................................................................................... 5 Conclusion ................................................................................................................... 12 References .................................................................................................................... 13 Introduction This is the fourth lab report of human factor IE342. This report is about the Anthropometric Measurements of human body as one of related subject to human factor as well as vision and audition experiments on previous reports. Anthropometry is the measurement of people and the analyses of those measurements for various purposes like increasing capability of worker and makes the workplace more comfortable [1]. These measurements include all physical dimensions of the human body like: weight, height, waist,…etc. anthropometry plays an important role in industrial design, clothing design, ergonomics and architecture where statistical data about the distribution of body dimensions in the population are used to optimize product. Next sections will present the objectives and the procedure of this experiment, and discuss the results. Objectives The main objective of this experiment is: 1- Understanding the uses of Anthropometric Measurements and its importance in industry. 2- Understanding the correct method to collect the data of Anthropometric Measurements, and be familiar with tools that are using to measure. 3- Understanding the way to analyze the data and comparing the results to the average results of human been in different area. Procedure The studied variables included 36 anthropometric parameters as well as some basic parameters including: age, ethnic origin, father’s occupation and family size; the latter two parameters may be used as indicators of the socioeconomic status, ethnic origin is an indicator for heredity. The studied parameters are showing in figure (1). The procedures of this lab. Exercise can be summarized in the following points: 1- Students are divided into groups. Each group consists of two students. 2- Each student of the two should take the 36 anthropometric measures of the other one and record them in the attached data collection form. 3- The collected 36 anthropometric measures are assigned to the students so that each student will take one of the 36 anthropometric measures of the class to analyze it. 4- The analysis includes: a) Testing the normality of each anthropometric measure. b) Calculating the 5th, 50th and 95th percentile. 1|Page Figure 1 Anthropometric Measurements Equipment The instruments used in this lab exercise include the following: 2|Page 1. Metric Scale, which is of the physician’s type. It has a movable rod in the range of 75 cm to 195 cm with an incremental scale of 1 cm. It is used to measure the stature; the eye standing, the shoulder standing, and elbow standing height. The metric scale is also equipped with a weighing balance of up to 160 kg capacity an incremental unit of 100 gram (0.1 kg). The weight measurements are recorded to the nearest 0.5 kg. The Metric Scale is shown in figure (2). 2. Chest Depth Caliber, which is of the physician’s type. It has a movable rod in the range of 1cm to 60 cm with an incremental scale of 1cm. It is used to measure the chest depth, chest breadth, waist depth, waist breadth, head length, head breadth and neck breadth. The Chest Depth Caliber is shown in figure (3). 3. Breadth Scale, which is of the physician’s type. It has a movable rod in the range of 1 to 100 cm with an incremental scale of 1 cm. It is used to measure the shoulder breadth, hip breadth, upper limb breadth, forward grip reach, elbow fingertip length, shoulder elbow length, thigh thickness, buttock-knee length, foot length, foot breadth, hand length and hand breadth. The Breadth Scale is shown in figure (4). 4. Fat Caliper (Skin Fold Caliper), which is adjustable from 1 to 60 mm with increment of 1 mm. It is used to measure fatness. The Fat Caliper is shown in figure (5). Figure 2the Metric Scale Figure 3 Chest depth Caliper 3|Page Figure 4 Skinfold caliper Figure 5 flexible tape measures Figure 6 Shoulder caliper Results This experiment measures different anthropometric parameters for all the group’s students, shown in table 1. Table 1 Sample Data of Group's students No. Variables Name 3 4 5 6 7 8 9 Age Ethnic Origin Father’s Occupation Family Size Weight Height Eye Height Standing Student #1 22 Arab Manager 8 52 152 142 Student #2 21 Asian Teacher 9 58 157 146 Student #3 70.5 170 157.5 4|Page 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Shoulder Height standing Elbow Height Standing Waist Height Standing Standing Vertical Grip Reach Height Setting Eye Height Sitting Shoulder Height Sitting Elbow Height Sitting Sitting Vertical Grip Reach Over knee Height From Floor Under knee Height From Floor Chest Depth Chest Breadth Waist Depth Waist Breadth Head Length Head Breadth Neck Breadth Shoulder Breadth Hip Breadth Upper Limb Length 128 94 98 182 77 68 51 15 103 51 43 20 22 18 25 18 15 8 38.2 36 70 128 96 93 186 77 65 49 18 113 51 42 24 36 22 32 19 21 9 44 35 65.5 141 106.5 108 209 87 74 54 21 119 55 47 25.5 26.5 26 30 18.5 15 10 38 38 76.5 31 32 33 34 35 36 Forward Grip Reach Elbow Finger Tip Length Shoulder Elbow Length Tight Thickness Buttock Knee Length Buttock to Hollow of Knee Length Foot Length Foot Breadth Hand Length Hand Breadth Fat Thickness Chest circumference Waist circumference 69 42 37.2 15 51 43 67 40 32 16 55 49 75 39 37 18 56 48 21 7.6 18 8.5 30 81 68.7 22 9 17 9 20 88 77 24 9.5 18 10 27 98 90.5 37 38 39 40 41 42 43 Calculations In this experiment, each student in each group will take one variable to measure and compare the sample result with population’s result. Population data is shown in table 2. 5|Page Table 2 The Population data of the variables that will be measure Variables: No. 17: Elbow height setting 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 18: sitting vertical grip reach 22.5 21.5 18 15 21 16 23 21 20 26 20 23 22 20 20 24 25.5 32 30.5 32 23 25 20 21 16 29 22 20 31 23 29 20 20 22 19: Over knee Height From Floor 116 117 113 103 113 115 114 116 103 117 109 111 102.5 110 107 112 119 123 114.5 139 114 121 107 119 115 102 102 111 123 163 120 109 107 102 50 49.5 51 51 50 48 50 50 54 55 52 51 52 50 51 52 54 56 44 58 54 55 51 55 56 50 51 52 53 52 51 52 51 51 Table 3 The Categories that each student will compare with Variable 17- Elbow height setting 18 - Sitting Vertical Grip Reach 19 - Over knee Height From Floor Student #1 Student #2 Student #3 Category = 15 Category =113 Category = 55 6|Page Student #1 Student number 1 will takes variable number 17 which is Elbow height setting and performs a hypothesis testing using Minitab, and calculating the goodness of fit using Chi-Square test. First: The hypothesis is: H0: The Population data are normally distributed for variable no. 17 H1: The Population data are not normally distributed for variable no. 17 Second: Entering the population data in Minitab and perform the Chi-Square goodness of fit test. Third: The result is: 7|Page Figure 7 The Expected and Observed values of the population of Variable 17 Calculating result: Chi-Square = 26, P-Value = 0.054 Tabulated result: Chi-Square = 26.296, α = 0.05 Concluding result: Since, Chi-Square = 26 < 26.296 and, P-Value = 0.054 > α = 0.05, Do not reject H0 and conclude that the data is normally distributed for variable 17 which is the Elbow height sitting. Comparison: Student #1 has a Category = 15 which has a value = 1. Since 1 is near the expected value = 2 that is shown in figure 7, then, the category that student #1 has, does not cause significant difference. Calculation of the Percentiles: For the normal distribution the any percentile can be calculated using the following formula: Xp = X + Zp * S where Xp is the percentile value X is the average value of the sample data Zp is the value of Z from the standard normal distribution table that corresponding to the desired percentile S is the standard deviation value of the sample data The Z values of the standard normal distribution corresponding to the commonly used percentiles are shown on table 4 below: Table 4 The Z values Percentile P Zp 1st 0.01 0.025 -2.33 -1.96 0.05 0.1 -1.64 -1.28 17th 0.17 -0.955 50th 0.5 0.00 th 2.5 5th 10 th 8|Page 83rd 90th 95th 97.5th 0.83 0.9 0.95 0.975 0.955 1.28 1.64 1.96 99th 0.99 2.33 The 5th percentile can be calculated as follows: X0.05 = X + Z0.05 * S X0.05 = 16 cm The 50th percentile= X0.5 = 22 cm The 95th percentile= X0.95 = 31.35 cm We can conclude that 95% from the population has elbow height while setting of 16cm, 50% has 22cm and 5% has 31.35cm. Student #2 Student number 2 will takes variable number 18 which is sitting vertical grip reach and performs a hypothesis testing using Minitab, and calculating the goodness of fit using Chi-Square test. First: The hypothesis is: H0: The Population data are normally distributed for variable no. 18 H1: The Population data are not normally distributed for variable no. 18 Second: Entering the population data in Minitab and perform the Chi-Square goodness of fit test. Third: The result is: 9|Page Figure 8 The Expected and Observed values of the population of Variable 18 Calculating result: Chi-Square = 4.82353, P-Value = 1.00 Tabulated result: Chi-Square = 30.144, α = 0.05 Concluding result: Since, Chi-Square = 4.82353 < 30.144 and, P-Value = 1 > α = 0.05, Do not reject H0 and conclude that the data is normally distributed for variable 18 which is sitting vertical grip reach. Comparison: Student #2 has a Category = 113 which has a value = 2. Since 2 is near the expected value = 1.7 that is shown in figure 8, then, the category that student #2 has, does not cause significant difference. 10 | P a g e Calculation of the Percentiles: The 5th percentile can be calculated as follows: X0.05 = X + Z0.05 * S X0.05 = 102 cm The 50th percentile= X0.5 = 113.5 cm The 95th percentile= X0.95 = 128.6 cm We can conclude that 95% from the population has elbow height while setting of 102cm, 50% has 113.5cm and 5% has 128.6cm. Student #3 Student number 3 will takes variable number 19 which is over knee Height from Floor and performs a hypothesis testing using Minitab, and calculating the goodness of fit using Chi-Square test. First: The hypothesis is: H0: The Population data are normally distributed for variable no. 19 H1: The Population data are not normally distributed for variable no. 19 Second: Entering the population data in Minitab and perform the Chi-Square goodness of fit test. Third: The result is: 11 | P a g e Figure 9 The Expected and Observed values of the population of Variable 19 Calculating result: Chi-Square = 24.2353, P-Value = 0.007 Tabulated result: Chi-Square = 18.307, α = 0.05 Concluding result: Since, Chi-Square = 24.2353 >18.307and, P-Value = 0.007 < α = 0.05, Reject H0 and conclude that the data is not normally distributed for variable 19 which is knee Height from Floor. Comparison: Student #3 has a Category = 55 which has a value = 3. Since 3 is near the expected value = 3.09091 that is shown in figure 9, then the category that student #3 has, does not cause significant difference. Calculation of the Percentiles: The 5th percentile can be calculated as follows: X0.05 = X + Z0.05 * S X0.05 = 48.975 cm The 50th percentile= X0.5 = 51 cm The 95th percentile= X0.95 = 56 cm We can conclude that 95% from the population has elbow height while setting of 48.975cm, 50% has 51cm and 5% has 56cm. Conclusion 12 | P a g e References [1] "umtri," [Online]. Available: http://mreed.umtri.umich.edu/mreed/research_anthro.html. [Accessed 27 2 2016]. 13 | P a g e
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