Statistics paper

Page 2 of 5

MG 620 Term Project and Grading Rubrics SPRING 2019

Grading Rubrics:

>Detailed >

Stage I………………………………………………..…………………………… (30%)

A. Select a topic of interest:

Identify the variable under study

a. Topic:

1. Once you have identified your topic, define your variable of interest which will be your topic for undertaking the research. For example, if your topic is the Transportation industry, then you will focus on the profit for that industry, try to identify some factors that will help explain the industry’s profit such as costs of shipment, cost of production, market shares or revenues. Next, try to formulate your title by turning the relationship between profit and one of the explanatory factor in the form of a question that will motive to collect data to solve the problem.

Title: Do revenues and costs influence the profit of the transportation industry for the most recent twenty years?

2. If you are interested in examining the problems facing First Year College Students, then your topic is 1st Year Students.

Title: Does the number of hours of study influence student Grade Point Average?

The relationship between the dependent and independent variables can be known in advance before the data are collected. This pre-relationship is referred to as the theoretical framework.

Reference at least three scholarly articles to understand how each independent variable influences the dependent variable.

1. Article number 1. For example, in the URL search for student performance. A list of articles will show up. Make a brief analysis (3-5 sentences) describing what the author reported about the relationship; positive, or negative. This will be part of your theoretical expectation of the variables before you collect the data.

2. Article 2. Do the same as above

3. Article 3. Do the same as above.

If your topic is first year students, then you will need to identify theoretically all those factors that may explain the variations of the dependent variable. Some explanations are:

Dependent Variable: GPA for the at least twenty-five students.

Independent Variables: In theory, it is argued that as the number of hours studied, student gain more knowledge and confidence in the course material. So, the relationship between GPA and the number of hours studied is expected to be positive (make reference((s) to your articles). Do the same type of expectation for the average distance (in miles) travelled.

B. Creating your data set before you start to write: Data collection.

This data table will be eventually placed as an Appendix

See below the data set in the table showing GPA and Hours Studied, distance travelled for 25 students.

I: GPA: Grade point average over 25 students

II. Variables that may influence GPA are Hours studied, and Distance travelled.

Table showing the dependent variable (GPA) and independent variables (Hours and distance for twenty-five students.

Student	Dependent (Y) GPA	Independent(X1) Hours	Independent (X2) Distance	Independent X3
1
2
3
4
5
6
7
8
9
10
11
12
13
.
.
25

Source:

Stage II: Establishing a relationship and Purpose………………….. (10%)

Theoretical relationship

a. Hours (H) refers to the number of hours preparing for the course per week. Existing literature shows that there is a positive relationship between GPA and Hours. Provide Reference.

b. Distance refers to the average returned number of miles travelled to college per week. Literature shows that DPA Distance can be negatively related. Offer reference(s)

c. Others

Purpose:

To describe and explain how first year students perform. The analysis will be undertaken at two levels as described below.

Stage III: Descriptive Statistics………………………………………….. (20%)

a. Descriptive Statistics

First, compute the summary statistics for only the dependent variables to include:

. Mean

. Standard deviation

. Frequency distribution

. Pie chart

. 95% confidence interval for the mean of the dependent variable.

Second, compute the summary statistics between the dependent and the independent variables to include:

The correlation coefficient for each of the independent variables and the dependent variable.

-GPA and Hours (r = 0.90), for example

-GPA and Distance (r= 0.89)

At this stage, choose that correlation coefficient with the highest value; in this case, it is GPA and Hours (0.90). Since there are many possible samples, perform a hypothesis testing for the correlation coefficient for the best strength of the relationship.

Draw the scatter plot between the dependent (Y) and the independent ( X). Is the relationship positive or negative?

Stage IV: Inferential Statistics …………………………………………….. (20%)

b. Inferential Statistics

Here, run a regression between Y and X for the purpose of prediction. Show the regression line and then show the followings:

1. Run an OLS regression to test the significance of the theoretical signs expected

· What is the Y-intercept

· Compute the slope

· R square

· Is the explanatory variable significant at the 5% level? That is, what is the “t” value?

· Estimate the regression equation and graphically show the regression line

· Compute the p-value

Stage V: Summary and Conclusion …………………………………….. (15%)

Does the data provide evidence of the theoretical relationship between GPA (Y) and the independent variable ( X). Details on the expected relationship are covered in chapter 13 in the course.

Required: Organize, Visualize and Analyze your data as shown below:

2. Construct a frequency distribution or histogram for your variable

3. Graphically depict your data using two other methods studied (scatter plot/trend line/ histogram/pie chart).

4. Establish your hypothesis; that is the expected sign(s) between the dependent and independent variables. After you have established the various hypotheses, narrow down your research to only one hypothesis.

5. Run an OLS regression to test the significance of the theoretical signs expected

· What is the Y-intercept

· Compute the slope

· R square

· Is the explanatory variable significant at the 5% level? That is, what is the “t” value?

· Estimate the regression equation and graphically show the regression line

· Compute the p-value

6. Comments on your results – this is important so think carefully and write.

Stage VI: APA format and errors free …………………………………………( 5%)

TOTAL 100%

>Summary of Format>

1. Introduction

· Background material to your topic (the industry)

· The scope of your research (what aspect of the industry are you focusing on)

· State the overall purpose of your research (to evaluate, to examine whether a relationship exists)

· Your main findings (offer an analysis); make recommendations, etc.

2. Body

3. Summary

4. Conclusion (main findings)

5. References

6. APA:

a) Double lines

b) APA style

c) Times Numeral Font

d) Errors free