Measurements were taken two times one on the left side the other on the right then we take the average of the measurements.
Raw Data:
Gender | Age | Left Ankle | Right Ankle | Average Ankle | Left Elbow | Right Elbow | Average Elbow |
Female Female Male Female Female Female Female Female Female Female Female Female Female Female Female Female Female Male Male Female Female Female Female Female Female Female Male Female Female Female Female Female | 18 20 21 18 27 19 19 23 20 51 20 18 20 22 18 41 20 23 23 21 21 19 21 18 21 44 18 22 20 21 24 21 | 20.6 22.5 24.8 21.1 22.1 23.1 24.3 23.8 21.8 23.5 20.5 22.0 20.5 22.0 21.1 21.0 20.4 25.7 26.1 21.3 22.0 22.5 22.5 23.1 22.5 27.5 23.5 22.0 20.9 22.9 24.0 22.5 | 21.4 23.4 25.0 21.4 23.5 21.4 24.4 23.5 21.8 23.0 24.0 22.5 20.0 22.5 21.4 21.5 20.5 25.6 25.5 22.0 22.5 21.7 23.0 23.1 22.0 26.5 23.5 22.2 21.0 22.8 22.5 22.0 | 21.00 22.95 24.90 21.25 22.80 22.25 24.35 23.65 21.80 23.25 22.25 22.25 20.25 20.25 21.25 21.25 20.45 25.65 25.80 21.65 22.25 22.10 22.75 23.10 22.25 27.00 23.50 22.10 20.95 22.85 23.25 22.25 | 20.6 22.5 24.8 24.8 22.1 22.8 24.3 22.3 21.8 25.5 20.5 22.0 20.5 22.0 21.0 21.0 20.4 25.7 26.1 21.3 21.3 21.5 21.5 23.1 22.5 24.0 23.5 22.0 20.9 22.9 24.0 24.0 | 21.4 23.4 25.0 21.4 22.0 21.4 24.4 23.5 21.8 25.0 24.0 22.5 20.0 22.5 21.4 21.5 20.5 25.6 25.5 22.0 22.0 21.7 23.0 23.1 22.0 22.5 23.5 22.2 21.0 22.8 22.5 24.0 | 21.00 22.95 24.90 23.10 21.55 22.10 24.35 22.90 21.80 25.25 22.25 22.25 20.25 22.25 21.20 21.25 20.45 25.65 25.80 21.65 21.65 21.60 22.25 23.10 22.25 23.25 23.50 22.10 20.95 22.85 23.25 24.00 |
Processed Data:
Gender | Average Ankle | Average Elbow |
Female Female Male Female Female Female Female Female Female Female Female Female Female Female Female Female Female Male Male Female Female Female Female Female Female Female Male Female Female Female Female Female | 21.00 22.95 24.90 21.25 22.80 22.25 24.35 23.65 21.80 23.25 22.25 22.25 20.25 20.25 21.25 21.25 20.45 25.65 25.80 21.65 22.25 22.10 22.75 23.10 22.25 27.00 23.50 22.10 20.95 22.85 23.25 22.25 | 21.00 22.95 24.90 23.10 21.55 22.10 24.35 22.90 21.80 25.25 22.25 22.25 20.25 22.25 21.20 21.25 20.45 25.65 25.80 21.65 21.65 21.60 22.25 23.10 22.25 23.25 23.50 22.10 20.95 22.85 23.25 24.00 |
Independent variable (Cause): Circumference of elbow
Dependent variable (Effect): Circumference of ankle
We decided to use Pearson’s r which is Pearson’s product moment correlation coefficient.
There are 4 assumption of Pearson's r, they are ;
1. All observations must be independent of each other.
2. The dependent variable should be normally distributed at each value of the independent variable.
3. The dependent variable should have the same variability at each value of the independent variable.
4. The relationship between the dependent and independent variables should be linear.
a) Ho: There is no association between a person's circumference of the elbow and the circumference of the ankle.
a) Ho: There is no association between a person's circumference of the elbow and the circumference of the ankle.
b) Variables
Variable | Data type |
Circumference of elbow | Scale |
Circumference of ankle | Scale |
Thus Pearson's r is an appropriate statistical technique to test Ho as both variables are Scale.
Descriptive
Skewness(0.916) > 2x std. error(0.828). This means that the distribution of the dependent variable is not normally distributed. Hence we can use the result of the average via the median.
Scater plot
Symmetric Measures
Pearson’s correlation coefficient of 0.782 indicates a strong relationship between The circumference of the elbow and the circumference of the ankle.
There is a positive, strong relationship and significant association between circumference of ankle and circumference of elbow. (r=0.782, p<0.05, N=32)
Coefficient
The linear equation is:
Circumference of ankle = 0.887 x (Circumference of elbow) + 2.557
Conclusion, reject Ho, accept H1; The circumference of elbow in centimetres is equivalent to one’s ankle in centimeters.
