Analyzing the Impact of Medication on Cholesterol Levels: A MANOVA Approach
Use of MANOVA statistical analysis to assess medication effects on cholesterol.
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Analyzing the Impact of Medication on Cholesterol Levels: A MANOVA Approach
Using the provided data and analysis, discuss the effectiveness of different medications (Control, Drug A, Drug B, and Drug C) on
Low-density Lipoprotein (LDL) and High-density Lipoprotein (HDL) cholesterol levels. In your answer, include a detailed
explanation of the exploratory data analysis, the MANOVA test results, and the implications of the findings. How do the differences
in LDL and HDL levels reflect the impact of each medication, and what conclusions can be drawn based on the statistical outputs? Be
sure to reference key statistical tests such as Box's Test, Bartlett's Test, Levene's Test, and the multivariate and univariate test
results.
Word Count Requirement: 600-800 words
Using the provided data and analysis, discuss the effectiveness of different medications (Control, Drug A, Drug B, and Drug C) on
Low-density Lipoprotein (LDL) and High-density Lipoprotein (HDL) cholesterol levels. In your answer, include a detailed
explanation of the exploratory data analysis, the MANOVA test results, and the implications of the findings. How do the differences
in LDL and HDL levels reflect the impact of each medication, and what conclusions can be drawn based on the statistical outputs? Be
sure to reference key statistical tests such as Box's Test, Bartlett's Test, Levene's Test, and the multivariate and univariate test
results.
Word Count Requirement: 600-800 words
Write Up:
1. Exploratory Data Analysis
The output of the overall descriptive statistics is presented in Appendix as well as the descriptive statistics by each case is presented in appendix under
MANOVA output. The overall analysis shows a good amount of difference between Low-density Lipoprotein and High-density Lipoprotein. We can see that for
Low-density Lipoprotein the mean and variation are much higher than High-density Lipoprotein.
The bar graph also supports that fact. The graph shows for all cases the means of Low-density Lipoprotein is much higher than High-density Lipoprotein.
The difference is highest for drug B and lowest for Drug C.
2. MANOVA Output Analysis
The MANOVA output as shown in Appendix tells us all the information needed. Box's Test of Equality of Covariance Matrices shows that the test is not
significant (p-value is 0.136) hence the covariance matrices are roughlyequal and the assumption is tenable. Bartlett’s testof sphericity tests whether the assumption
of sphericity has been met or not but as MANOVA does not need this condition so even significant outcome of this test does not affect our analysis.
If we proceed further we can see that the multivariate test shows the significant output for all 4 types of test. Hence we should probably conclude that the
type of medicationtaken had asignificant effect on cholesterol level.
When we come to the Univariate test statistics we can see that Levene’stest is non-significant for all dependent variables hence the assumption of
homogeneity ofvariance has been met. The values of p in SPSS Output indicate that there was a significant difference between groups in terms of both LDL (p =
.000) and HDL (p = .000). Thus the type of medication applied has a significant impact on the cholesterol level.
1. Exploratory Data Analysis
The output of the overall descriptive statistics is presented in Appendix as well as the descriptive statistics by each case is presented in appendix under
MANOVA output. The overall analysis shows a good amount of difference between Low-density Lipoprotein and High-density Lipoprotein. We can see that for
Low-density Lipoprotein the mean and variation are much higher than High-density Lipoprotein.
The bar graph also supports that fact. The graph shows for all cases the means of Low-density Lipoprotein is much higher than High-density Lipoprotein.
The difference is highest for drug B and lowest for Drug C.
2. MANOVA Output Analysis
The MANOVA output as shown in Appendix tells us all the information needed. Box's Test of Equality of Covariance Matrices shows that the test is not
significant (p-value is 0.136) hence the covariance matrices are roughlyequal and the assumption is tenable. Bartlett’s testof sphericity tests whether the assumption
of sphericity has been met or not but as MANOVA does not need this condition so even significant outcome of this test does not affect our analysis.
If we proceed further we can see that the multivariate test shows the significant output for all 4 types of test. Hence we should probably conclude that the
type of medicationtaken had asignificant effect on cholesterol level.
When we come to the Univariate test statistics we can see that Levene’stest is non-significant for all dependent variables hence the assumption of
homogeneity ofvariance has been met. The values of p in SPSS Output indicate that there was a significant difference between groups in terms of both LDL (p =
.000) and HDL (p = .000). Thus the type of medication applied has a significant impact on the cholesterol level.
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Subject
Healthcare