MATH782 Visualization For Problem Solving : Solution Essays

Question:

These hypotheses are based on the theories and findings from the latest medical literature. The team shared with you the data about patients with heart diseases (HEART data set in SAS VA) and you are to test the following hypotheses:

  • H1: The weight and cholesterol levels are closely related.
  • H2: Men are usually more obese than women.
  • H3: Women usually smoke less than men, but their cholesterol level is higher.
  • H4: The blood pressure is higher for people with higher cholesterol level.
  • H5: Systolic pressure accounts more for blood pressure than diastolic pressure.
  • H6: Cholesterol has much to do with weight than smoking.
 

Answer:

The current research is aimed to provide the visualization for the collected data in the large hospital. The visualization of the results helps to present the collect data in more meaning full way. In the current research six different hypotheses have been proposed and the results for each hypothesis have been discussed below. All the analysis for the current research have been conducted on SAS.

Hypothesis 1:

H1: The weight and cholesterol levels are closely related

The first hypothesis for the current research is to check the correlation between the weight and the cholesterol level. One of the best way to show the correlation graphically is scatter plot of the variables. In this case also the scatter plot has been used and the results have been shown in the figure below.

From the above scatter plot it can be inferred that there is no clear relationship between weight & cholesterol level. The correlation is positive but the magnitude is very low. This indicates that the increase in weight leads to increase in cholesterol. However it cannot be concluded that increase in cholesterol will increase in weight. Therefore correlation cannot be misinterpreted as causation.

H2: Men are usually more obese than women.

The second hypothesis is related to the difference in obesity in term of gender. To test the hypothesis the analysis was conducted on SAS and the result is shown in the figure below.

As we can observe from the graph that the average weight of male is higher than the female. The difference is statistically significant from the ANOVA test. So, the proposed hypothesis is accepted. There may be different reason behind the higher weight in male as compare to the female such as eating habits or lifestyle. It can also be the case that the sample is biased which leads to such results.

H3: Women usually smoke less than men, but their cholesterol level is higher.

The third hypothesis is related to the fact, despite the lower smoking cases, cholesterol level is higher in women as compared to male.  Results from the analysis are shown in the figure below.

 

Graph on left hand side tells us that the number of men who smoke is much higher than the number of female smoker. It has also been the expected results as men are more likely to smoke as compared to the females. This has been shown by the previous research also. However on the right hand side the level of cholesterol is higher in females as compared to the cholesterol level in men. On the basis of the results it can be concluded that the smoking habit do not affect the cholesterol level or the cholesterol level is negatively related to the smoking habits. The negative relation does not seem to be appropriate on the basis of the previous research. Since the results are only from the data collected from hospital, so the results cannot be generalized to the entire population. If the data is collected from other sources there may be difference in the results.

H4: The blood pressure is higher for people with higher cholesterol level.

As the results shows cholesterol level for high blood pressure is around 240 which is close to 225 for the people with normal blood pressure. This clearly indicates that the blood pressure is higher for those people who have higher cholesterol level.

H5: Systolic pressure accounts more for blood pressure than diastolic pressure.

As shown in the figure above blood pressure is high for systolic as compared to the diastolic. So on the basis of these results the hypothesis is accepted.

H6 Cholesterol has much to do with weight than smoking.

 

As shown in the figure above there is slight upward relationship between weight & cholesterol. This is also proved by the positive correlation among this two variables. But as we can see at any level of smoking the cholesterol is distributed uniformly.

This means that weight is more closely related to cholesterol than smoking.

 

Cholesterol cause by death

People suffering from CHD have higher cholesterol level than people suffering from other diseases.

Also they tends to smoke at the same level of people suffering from cancer.

On the basis of the results it can be concluded that on an average the coronary heart disease starts at the age of 48.

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