Analyzing the Impact of Medication on Cholesterol Levels: A MANOVA Approach

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Analyzing the Impact of Medication on Cholesterol Levels: A MANOVA ApproachUsing the provided data and analysis, discuss the effectiveness of different medications (Control, Drug A, Drug B, and Drug C) onLow-density Lipoprotein (LDL) and High-density Lipoprotein (HDL) cholesterol levels. In your answer, include a detailedexplanation of the exploratory data analysis, the MANOVA test results, and the implications of the findings. How do the differencesin LDL and HDL levels reflect the impact of each medication, and what conclusions can be drawn based on the statistical outputs? Besure to reference key statistical tests such as Box's Test, Bartlett's Test, Levene's Test, and the multivariate and univariate testresults.Word Count Requirement: 600-800 words

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Write Up:1.Exploratory Data AnalysisThe output of the overall descriptive statistics is presented in Appendix as well as the descriptive statistics by each caseis presented in appendix underMANOVA output. The overall analysis shows a good amount of difference between Low-density Lipoprotein and High-density Lipoprotein. We can see that forLow-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 AnalysisThe MANOVA output as shown in Appendix tells us all the information needed.Box's Test ofEquality of Covariance Matrices shows that the test is notsignificant (p-value is 0.136) hencethe covariance matrices are roughlyequal and the assumption is tenable.Bartlett’s testof sphericity tests whether the assumptionof sphericity has been metor 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. Hencewe should probably conclude that thetype ofmedicationtakenhad asignificant effect on cholesterollevel.When we come to the Univariate test statistics we can see that Levene’stestisnon-significant for all dependent variableshencethe assumption ofhomogeneity ofvariance has been met.The values of p in SPSS Output indicate that there was a significant difference between groups in terms of bothLDL(p =.000) andHDL(p = .000). Thus the type of medication applied has a significant impact on the cholesterol level.

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Appendix:Descriptive Statistics (for all groups):Descriptive StatisticsNRangeMinimumMaximumMeanStd. DeviationVarianceSkewnessKurtosisStatisticStatisticStatisticStatisticStatisticStatisticStatisticStatisticStd. ErrorStatisticStd. ErrorLow-density Lipoprotein40607613697.9817.165294.640.677.374-.638.733High-density Lipoprotein4025497461.437.10350.456-.236.374-1.154.733Valid N (listwise)40Bar Graph by groups:

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