Business Statistics and Analysis Capstone Assignment

Assignment Task

Overview

In this assessment you will perform a statistical investigation on a dataset that you compile from GapMinder. In the statistical investigation, you will perform exploratory data analysis, a set of generated hypotheses and statistical interrogation of the hypothesises. Your report will use RStudio to generate visualisations and statistical outcomes, while your written report will communicate the interpretations of the RStudio outputs and your justifications for your statistical analysis.

Tasks

There are three main tasks (1) Describing your data, both numerically and visually, (2) performing a linear regression between two variables and (3) performing a statistical investigation on a hypothesis.

1. Describing your data, both numerically and visually

In this section will describe your data, the data distributions using numerical summaries and visualizations.

Be sure to include:

• The variables used in your analysis, and the variable type
• Tables for relevant summary statistics.
• Any data pre-processing that was done prior to analyzing your data. Pre-processing may include but is not limited to ways of handling missing data, and transforming data.
• Discussion on the statistical limitations of the data

2. Linear regression between two variables

In this section, perform a linear regression between the two variables derived from step 1 in the Data section. Be sure to include:

• A visualization of the variables used in the linear regression analysis, such as scatter plots, histograms, and boxplots.
• A discussion on the statistical assumptions for the regression analysis that you choose.
• Statistical evidence relating to the validity of the statistical assumptions. For non-parametric regression include the statistical evidence demonstrating the violation of the parametric case.
• Interpretation of the statistical output of the regression analysis

3. Statistical investigation on a hypothesis

In this section, perform a statistical hypothesis using the categorical HDI variable (from step 2 in the Data section) and one of the numeric variables derived from step 1 in the Data section. Be sure to include:

• The hypothesis(es) to be tested
• A visualization of the variables used for the hypothesis, such as a scatter plot, histograms, or boxplots.
• A discussion on the statistical assumptions for the statistical analysis that you choose to investigate the hypotheses(es).
• Statistical evidence relating to the validity of the statistical assumptions. For nonparametric procedures, this will focus on how the statistical assumptions for the corresponding parametric test has been violated.
• Interpretation of the statistical output of the hypothesis analysis

Executive Summary

The executive summary provides a short sharp overview of the contents in the report and will be around 300-500 words. There will be five parts:

I. Introductory statement: background to the study, important issue(s) the report addresses. Approximately 2 to 4 sentences.

II. Purpose of the report: state the objectives and associated hypotheses. One sentence with multiple bullet points or approximately three separate sentences.

III. Methodological approach: overview the data and analysis methods. 1-2 sentences with multiple bullet points or ~3 separate sentences.

IV. Findings: list the main overarching findings from your statistical investigation. 

V. Conclusions and Implications: what conclusions can be drawn from your investigation? How can the findings in your report to deliver a benefit to people, things, systems, or processes?

Introduction

The introduction sets the scene for the investigative efforts. It provides motivation for the work and relevant background information and references that will enable the reader to put in context the key objectives and findings in your report. Address the important issues that have motivated your investigation. At the end of the introduction clearly state the key objectives of the paper.

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