09 Oct Week 4: Project Assignment due September 10, 2019.
Week 4: Project Assignment due September 10, 2019. You already have the models via emails. Please remember the plagiarism level should be Less than 21%. Thank youRegression and Correlation Methods: Correlation, ANOVA, and Least SquaresThis is another way of assessing the possible association between a normally distributed variable y and a categorical variable x. These techniques are special cases of linear regression methods. The purpose of the assignment is to demonstrate methods of regression and correlation analysis in which two different variables in the same sample are related.The following are three important statistics, or methodologies, for using correlation and regression:In this assignment, solve problems related to these three methodologies.Part 1: Pearson’s Correlation CoefficientFor the problem that demonstrates the Pearson’s coefficient, you will use measures that represent characteristics of entire populations to describe disease in relation to some factor of interest, such as age; utilization of health services; or consumption of a particular food, medication, or other products. To describe a pattern of mortality from coronary heart disease (CHD) in year X, hypothetical death rates from ten states were correlated with per capita cigarette sales in dollar amount per month. Death rates were highest in states with the most cigarette sales, lowest in those with the least sales, and intermediate in the remainder. Observation contributed to the formulation of the hypothesis that cigarette smoking causes fatal CHD. The correlation coefficient, denoted by r, is the descriptive measure of association in correlational studies.Table 1: Hypothetical Analysis of Cigarette Sales and Death Rates Caused by CHDUsing the Minitab statistical procedure:In addition to the above:Refer to the Assignment Resources: Dot Plots and Correlation and Resources: Performing Regression Analysis to view an example of Pearson’s correlation coefficient. This same resources are also available under lecture Correlation and Regression Methods.Submission Details:Part 2: ANOVALet’s take hypothetical data presenting blood pressure and high fat intake (less than 3 grams of total fat per serving) or low fat intake (less than 1 gram of saturated fat) of an individual.Table 2: Blood Pressure and Fat Intake Using the Minitab statistical procedure:In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.Visit the media Resources: One-Way ANOVA on lecture Correlation and Regression Methods to view an example of ANOVA.Submission Details:Part 3: Least Squares The following are hypothetical data on the number of doctors per 10,000 inhabitants and the rate of prematurely delivered newborns for different countries of the world.Table 3: Number of Doctors Verses the Rate of Prematurely Delivered NewbornsUsing the Minitab statistical procedure:In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.Submission Details:Additional MaterialsDot Plots and CorrelationPerforming Regression Analysis RESSOURCESIn Week 4, you will learn about correlation and regression methods. Correlation and linear regression are the most commonly used techniques for investigating the relationship between two quantitative variables. You will have the opportunity to discuss the use of the correlation coefficient (R2) statistic in regression analysis. You will also practice biostatistical problem-solving skills by applying least squares regression analysis to fit a regression line to the data for a public health scenario. In addition, you will apply an F-test and a t-test for significance of the regression, test for goodness of fit using R2, and give a substantive interpretation of the results.In the Discussion Assignment, you will research and discuss the use of R2 in regression analysis. You will also explain how R2 is substantively interpreted and how interpretation can be affected by sample size.In the Project Assignment, you will solve a set of problems by applying the following three important correlation and regression methodologies:Your Learning Objectives for the Week:At the end of this week you should be able to:
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