Analysis of Variance (ANOVA)

Consider the following research question:
Is there a relationship between beverage choice and BMI in prison inmates?
Reflect on possible methods for investigating this research question. You would not try to analyze nominal data with a t-test. Yet, researchers occasionally choose inappropriate approaches to answer their questions. When designing a study, you need to consider whether the research questions, data available, theoretical framework, and proposed methodology are in alignment. ANOVA is an extension of the t-test that allows for comparison of a single, continuous variable among more than two groups (factors). ANOVA can do much more than that in its extended forms.
This week, you evaluate data using ANOVA. You also use ANOVA to evaluate interactions involving two factors. ANOVA allows biostatisticians to analyze data that result from complex study designs. You might consider using ANOVA in your future research.

Evaluate uses of ANOVA
Analyze impact of differential loss on study outcomes
Apply methods for two-way analysis of variance with interaction
Interpret results of two-way analysis of variance with interaction

Section 1:

Appropriate use of both basic ANOVA and its more advanced versions depends on data meeting the assumptions associated with the test. Those assumptions typically include whether the data are normally distributed and the group variances are homogeneous. Other assumptions may include that all factors are fixed and that they are independent.
For example, suppose a researcher wanted to examine the exercise habits of individuals according to their age. Three age groupings had been identified, and television-watching habits would be recorded over a period of time. The use of ANOVA enables the researcher to compare the outcome measureexercise habitsamong the three age groups. Use the below article

Barnett, K., Mercer, S. W., Norbury, M., Watt, G., Wyke, S., & Guthrie, B. (2012). Epidemiology of multimorbidity and implications for health care, research, and medical education: A cross-sectional study. Lancet, 380(9836), 3743.
Post find and discuss the following key elements of the article you selected:
Identify variables: independent variable(s), dependent variable(s), and confounders.
What was the research question(s)?
Why was two-way ANOVA used?
What was the main result(s)?
What was the interpretation?
What are your thoughts on the limitation(s) of the study?