Descriptive Statistics Data Analysis Plan

Please find two files and the embedded data set:

  • Written Assignments Data Set – This is the data set that you will use for all three written assignments. Writing Assignment Data Set 
  • Assignment #1_ Descriptive Statistics Data Analysis Plan Instructions – which contains complete instructions for this assignment.
  • Assignment #1_ Descriptive Statistics Data Analysis Plan Template – which contains the template to be completed and turned in for this assignment.

Statistics Assignment #1: Descriptive Statistics Data Analysis Plan

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Assignment #1: Prepare Descriptive Statistics Data Analysis Plan

Before conducting any statistical analyses, researchers develop a plan for how they will analyze their data to answer their research questions

.

The purpose of this assignment is to provide an experience developing a descriptive statistics analysis plan. Note: This first assignment is a plan only; no statistics will be calculated or graphs created. The second assignment will involve carrying out the plan, after receiving feedback from your instructor.

Assignment Steps:
Step #1: Review the STAT200 data set file. (Note: This data set will be used for all three of this term’s written assignments).
The data is a subsample from the US Department of Labor’s Consumer Expenditure Surveys (CE) and provides information about the composition of households and their annual expenditures (https://www.bls.gov/cex/). Detailed information on the sample and variables is included with the data set file; please carefully review this information to familiarize yourself with the data (Note: This information will be used in Assignment #2 to describe the dataset).

Step #2: Develop descriptive statistics data analysis plan.

➢ Task 1: Develop scenario. Imagine that you are head of a household and have to determine a household budget plan based on the data available from the dataset. For instance, you are a 35 year old single parent with a high school diploma and one child.

➢ Task 2: Select variables for analysis that match the scenario developed in Task 1.The data set provides information on household consumption; there are socioeconomic variables and expenditures variables. The socioeconomic variable names start with “SE-” and the expenditure variable names start with a “USD;” all expenditures are in US dollars. All students must use income as one variable. Select two additional socioeconomic variables (one qualitative and one quantitative) and two expenditures for your analysis that match the scenario you developed for

Task 1.

For instance, using the example scenario of a 35 year old single parent with a high

school diploma and one child, you could select “income,” “education,” and “number of children” as socioeconomic variables and then pick two household expenditure items to show the distribution of costs and compare that with your income. When selecting variables, think about the following three questions:

o Why am I choosing these variables?
o What interests me about these variables? o What do I think will be the outcome?

· ➢  Task 3: Determine appropriate measures of central tendency and dispersion for the selected variables. For each quantitative variable, select at least one measure of central tendency and at least one measure of dispersion (Please see below table for list of measures). For the qualitative variable, select one measure of central tendency. When determining the measures of central tendency and dispersion, think about what is appropriate given the level of measurement and type of variable. Recommend referring to the text and information posted in our LEO classroom to help with this task (Note: you will use this information to provide a rationale for your choice of measures).

· ➢  Task 4: Determine appropriate graph and/or table for each of the selected variables. Select one graph or table for each variable (Please see below table for list of graphs and tables). When determining the graphs and tables, think about what is appropriate given the level of measurement and type of variable. Recommend referring to the text and information posted in our LEO classroom to help with this task (Note: you will use this information to provide a rationale for your choice of graphs and/or tables).

Measures of Central Tendency

Measures of

Dispersion

● Mean

● Mode

● Median

● Range

● Sample Standard Deviation

● Variance

· ➢  Task 4: Determine appropriate graph and/or table for each of the selected variables. Select one graph or table for each variable (Please see below table for list of graphs and tables). When determining the graphs and tables, think about what is appropriate given the level of measurement and type of variable. Recommend referring to the text and information posted in our LEO classroom to help with this task (Note: you will use this information to provide a rationale for your choice of graphs and/or tables).

Types of Graphs

Types of Tables

● Pie Chart
● Bar Chart
● Histogram
● Box Plots (also known as Box-and-Whiskers Plot)

● Frequency Table
● Relative Frequency Table

● Grouped Frequency Table

Step #3: Complete the “Assignment #1: Descriptive Statistics Data Analysis Plan Template.”

Remember, you will not be conducting any statistical analysis, drawing any graphs, or compiling any tables for the first assignment. Rather, you need to wait for feedback from your instructor on this assignment and use that feedback to complete Assignment #2.

Here are the main sections for this assignment (i.e., completing the plan template):

· ✓  Identifying Information. Fill in information on name, class, instructor, and date.

· ✓  Scenario. In this section, briefly (2-3 sentences) describe the scenario you developed in Step #2,

Task 1.

· ✓  Complete Table 1: Variables Selected for the Analysis. Enter information the variables selected

for analysis in Step #2, Task 2. For each selected variable be sure to include its: name as listed in

the data set, description, and variable type.

· ✓  Reason(s) for Selecting the Variables and Expected Outcome(s): In this section, for each

selected variable, please answer the following questions: ✓ Why did I choose this variable?
✓ What interests me about this variable?
✓ What do I think will be the outcome?

· ✓  Complete Table 2. Numerical Summaries of the Selected Variables. Enter information on selected measures of central tendency and dispersion for each selected variable. Be sure to briefly explain why you choose those measurements. Note: The information for the required variable, “Income,” has already been completed and can be used as a guide for completing information on the remaining variables.

· ✓  Complete Table 3. Type of Graphs and/or Tables for Selected Variables. Enter information on selected graph and/or table for each selected variable. Be sure to briefly explain why you choose those measurements. Note: The information for the required variable, “Income,” has already been completed and can be used as a guide for completing information on the remaining variables.

.

Grading Rubric for Written Assignment #1

Scenario and Selection of Related Variables

●  Clear description of scenario

●  Selected variables and reasons are appropriate for the scenario.

20%

Selection of

Measures of Central Tendency and

Dispersion For each variable:

●  Appropriate measures selected.

●  Rationale is provided and appropriate.

30%

Selection of Graphs and/or Tables For each variable:

●  Appropriate measures selected.
●  Rationale is provided and appropriate.

30%

Writing Quality:
Completes all sections of template.
Writes clearly, concisely, and with few errors.

20%

Assignment #1: Descriptive Statistics Data Analysis Plan

Scenario: Please write a few lines describing your scenario and the four variables (in addition to income) you have selected.

Use Table 1 to report the variables selected for this assignment. Note: The information for the required variable, “Income,” has already been completed and can be used as a guide for completing information on the remaining variables.

Table 1. Variables Selected for the Analysis

Variable Name in the Data Set

Description

(See the data dictionary for describing

the variables.)

Type of Variable

(Qualitative or

Quantitative

)

Variable 1:

“Income”

Annual household income in USD.

Quantitative

Variable 2:

Variable 3:

Variable 4:

Variable 5:

Reason(s) for Selecting the Variables and Expected Outcome(s):

1. 1. Variable 1:

“Income”

2. 2. Variable 2: “ “ –

3. 3. Variable 3: “ “ –

4. 4. Variable 4: “ “ –

5. 5. Variable 5: “ “ –

Data Set Description:

Proposed Data Analysis:

Measures of Central Tendency and Dispersion

Complete Table 2. Numerical Summaries of the Selected Variables and briefly explain why you choose those measurements. Note: The information for the required variable, “Income,” has already been completed and can be used as a guide for completing information on the remaining variables.

Table 2. Numerical Summaries of the Selected Variables

Variable 2:

Variable 2:

Variable 2:

Variable 2:

Variable Name

Measures of Central Tendency and
Dispersion

Rationale for Why Appropriate

Variable 1:
“Income”

● Number of Observations

● Median

● Sample Standard Deviation

I am using median for two reasons:

1.If there are any outliers or the data is not normally distributed, the median is the best measure of central tendency.

2.The variable is quantitative.

I am using sample standard deviation for three reasons:

1. The data is a sample from a larger data set.

2. It is the most commonly used measure of dispersion.

3. The variable is quantitative.

Graphs and/or Tables

Complete Table 3. Type of Graphs and/or Table for Selected Variables and briefly explain why you choose those graphs and/or tables. Note: The information for the required variable, “Income,” has already been completed and can be used as a guide for completing information on the remaining variables.

Table 3. Type of Graphs and/or Tables for Selected Variables

Variable Name

Variable 1:
“Income”

Variable 2:

Variable 2:

Variable 2:

Variable 2:

Graph and/or Table

Rationale for why

Appropriate?

Graph: I will use the histogram to show the normal distribution

of data.

Histogram is one of the best

plot to show the normal

distribution of quantitative

level data .

STAT

2

00 Introduction to Statistics

Dataset for Written Assignments

Description of Dataset:

The data is a random sample from the US Department of Labor’s

20

1

6

Consumer Expenditure Surveys (CE) and provides information about the composition of households and their annual expenditures (

https://www.bls.gov/cex/

). It contains information from

3

0 households, where a survey responder provided the requested information; it is all self-reported information. This dataset contains four socioeconomic variables (whose names start with SE) and four expenditure variables (whose names start with USD).

Description of Variables/Data Dictionary:

The following table is a data dictionary that describes the variables and their locations in this dataset (Note: Dataset is on second page of this document):

Amount in US Dollars

Amount in US Dollars

Amount in US Dollars

Amount in US Dollars

Variable Name

Location in Dataset

Variable Description

Coding

UniqueID#

First Column

Unique number used to identify each survey responder

Each responder has a unique number from 1-

30

SE-MaritalStatus

Second Column

Marital Status of Head of Household

Not

Married

/Married

SE-Income

Third Column

Annual Household Income

Amount in US Dollars

SE-AgeHeadHousehold

Fourth Column

Age of the Head of Household

Age in Years

SE-FamilySize

Fifth Column

Total

Number of People in Family

(Both Adults and Children)

Number of People in Family

USD-AnnualExpenditures

Sixth Column

Total Amount of Annual Expenditures

USD-Food

Seventh Column

Total Amount of Annual Expenditure on Food

USD-Housing

Eighth Column

Total Amount of Annual Expenditure on Housing

USD-Transport

Ninth Column

Total Amount of Annual Expenditure on Transportation

How to read the data set: Each row contains information from one household. For instance, the first row of the dataset starting on the next page shows us that for the first household in the sample: the head of household is not married and is

5

1

years old, has an annual household income is $

9

5,

4

32, has a family size of 1, annual expenditures of $

55

,

12

0

, and spends $

7

,0

8

9 on food, $

18

,

39

1 on housing, and $

11

5

on transportation.

1

Not Married

Not Married

3

4

Not Married

51

4

Not Married

1

Not Married

1

Not Married

2

Not Married

4

Not Married

2

Not Married

2

7051

Not Married

49

2

Not Married

4

Not Married

2

Not Married

3

Not Married

59

2

4

Married

48

4

Married

52

4

Married

1

168

Married

42

4

Married

4

Married

44

5

153

Married

39

3

Married

56

4

Married

2

Married

3

186

Married

42

4

Married

4

Married

46

4

Married

36

5

UniqueID#

SE-MaritalStatus

SE-Income

SE-AgeHeadHousehold

SE-FamilySize

USD-AnnualExpenditures

USD-Food

USD-Housing

USD-Transport

1 Not Married

9

54

32

51

55120

7089

18391

1

15

2

97

46

9

35

4

5

49

29

6900

185

14

145

3

96664

53

55558

7051

18502

16

8

96653

56

48

8

6943

18838

1

24

5

94867

60

55512

6935

186

33

13

1

6

97912

49

55704

6937

186

19

1

52

7

96886

44

553

21

6982

18312

153

8

9

62

44

56

56051

70

73

1

84

84

1

41

9

95

36

6

48

57082

7130

18576

149

10

967

27

39

564

40

18376

120
11

96697

56453

6971

18520

136

12

95744

52

5

59

63

7040

18435

146

13

96572

59

56515

7

17

9

18648

1

23

14

98717

40

56393

7036

18389

114

15

94929

55247

6948

18483

133

16 Married

95778

42

73323

9067

22

880

201

17

109

377

83530

10575

23407

99

18

95706

71597

89

25

22376

181

19

95865

46

74789

9321

2

26

21

20

109211

82503

11566

22219

62
21

95994

55

73404

9231

2

28

52

177

22

114932

81186

11077

26411

23

112559

80934

11189

25531

73
24

95807

72949

9210

23139

186
25

99610

36

73550

9513

27164

33
26

95835

54

73092

9111

23252

27

102081

82331

11738

23374

121

28

104671

41

82786

10420

22245

84
29

107028

82816

10840

25671

109
30

114505

78325

11375

26006

140

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