Question
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
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 "Income" and "Marital Status" has already been completed and can be used as a guide for completing information on the remaining variables.In the subsequent section, explain why you selected each variable as well as the expected outcome.
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: "Marital Status" | Married or Not Married | Qualitative |
Variable 3: | ||
Variable 4: | ||
Variable 5: |
Reason(s) for Selecting the Variables and Expected Outcome(s):
- Variable 1: "Income" -
- Variable 2: "Marital Status" -
- Variable 3: " "-
- Variable 4: " "-
- Variable 5: " "-
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 Name | Measures of Central Tendency and Dispersion | Rationale for Why Appropriate |
Variable 1: "Income" |
| I am using median for two reasons:
I am using sample standard deviation for three reasons:
|
Variable 2: "Marital Status" | ||
Variable 3: | ||
Variable 4: | ||
Variable 5: |
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. Note: Do NOT simply copy this for the remaining quantitative variables. Make a logical selection based on the data type.
Table 3. Type of Graphs and/or Tables for Selected Variables
Variable Name | Graph and/or Table | Rationale for why Appropriate? |
Variable 1: "Income" | Graph: Histogram | A histogram is one of the best plots available to visually depict the distribution of quantitative level data. |
Variable 2: "Marital Status" | ||
Variable 3: | ||
Variable 4: | ||
Variable 5: |
STAT200 Introduction to Statistics
Part 1: Descriptive Statistics Data Analysis Plan
Part 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 part is a plan only; no statistics will be calculated or graphs created.The second part will involve carrying out the plan, after receiving feedback from your instructor.
There are 3 steps (some with several "tasks") that constitute Part 1:
Step #1:Review the STAT200 data set file. (Note: This data set will be used for all three parts of this term project).
The provided data set is a subsample of 31 data points 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 Part 2 to describe the dataset).
Step #2:Develop descriptive statistics data analysis plan.
Task 1:Develop a hypothetical "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.Please note that this "scenario" you describe is just to explain why you might be motivated to do this analysis. It does NOT have to be correct and/or true.
As an example (note that this is an example; the data variables may not be the same as in our data set. You MUST create the scenario using the variables in our data set):
"I am a 35 year old married parent (head of household) with one child. I earn $97,000 per year, and my annual total expenditures are $60,000; $20,000 of which goes to housing, $1,500 of it goes to the electric bill, and $600 is spent on water bills. I am curious to see how my income and expenditures relate to other people in the United States."
(NOTE: You do not need to put your actual income or any expenditure values in here--that is personal information that I do not need to know). A key point here is to ensure you use variables from the data set that accompany our section.
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: the only one is MARITAL STATUS) and one quantitative (either Age of Head of Household or Family Size)
- Select two expenditure variables from ANNUAL EXPENDITURES, FOOD, HOUSING and TRANSPORTATIONfor 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 one child, you could select "income," "marital status," and "age of head of household" as socioeconomic variables and then pick two household expenditure items (such as "entertainment" and "education") to show the distribution of costs and compare that with your income.
When selecting variables, think about the following three questions:
- Why am I choosing these variables?
- What interests me about these variables?
- What do I think will be the outcome?
Answer the above questions in the section on the template labeled: "Reason(s) for Selecting the Variables and Expected Outcome(s):".
Task 3:Determine appropriate measures of central tendency and dispersion for the selected variables. For each quantitative variable, select at least onemeasure of central tendency andat least onemeasure of dispersion (see below table for list of measures). For the qualitativevariable (Marital Status), select onemeasure 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).
Measures of Central Tendency:
- Mean
- Mode
- Median
Measures of Dispersion:
- Range
- Sample Standard Deviation
- Sample Variance
Task 4: Determine appropriate graph and/or table for each of the selected variables. Select onegraph ortable 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:
- Pie Chart
- Bar Chart
- Histogram
- Box and Whisker Plot
Types of Tables:
- Frequency Table
- Relative Frequency Table
- Grouped Frequency Table
Step #3:Complete the "Part 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 part and use that feedback to complete Part 2 of the Term Project.
In summary, here are the main components for this part:
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 eachselected 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 brieflyexplain 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.
STAT200 Introduction to Statistics
Dataset for Written Assignments
Description of Dataset:
The data is a random sample from the US Department of Labor's 2016 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 31 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):
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 | Amount in US Dollars |
USD-Food | Seventh Column | Total Amount of Annual Expenditure on Food | Amount in US Dollars |
USD-Housing | Eighth Column | Total Amount of Annual Expenditure on Housing | Amount in US Dollars |
USD-Transport | Ninth Column | Total Amount of Annual Expenditure on Transportation | Amount in US Dollars |
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 35 years old, has an annual household income is $97,469, has a family size of 4, annual expenditures of $54,929, and spends $6,900 on food, $18,514 on housing, and $145 on transportation.
UniqueID# | SE-MaritalStatus | SE-Income | SE-AgeHeadHousehold | SE-FamilySize | USD-AnnualExpenditures | USD-Food | USD-Housing | USD-Transport |
1 | Not Married | 97469 | 35 | 4 | 54929 | 6900 | 18514 | 145 |
2 | Not Married | 97912 | 49 | 1 | 55704 | 6937 | 18619 | 152 |
3 | Not Married | 96697 | 49 | 2 | 56453 | 6971 | 18520 | 136 |
4 | Not Married | 96653 | 51 | 4 | 56488 | 6943 | 18838 | 124 |
5 | Not Married | 96664 | 53 | 3 | 55558 | 7051 | 18502 | 168 |
6 | Not Married | 95744 | 52 | 4 | 55963 | 7040 | 18435 | 146 |
7 | Not Married | 94929 | 59 | 2 | 55247 | 6948 | 18483 | 133 |
8 | Not Married | 96928 | 43 | 3 | 55932 | 6953 | 18701 | 145 |
9 | Not Married | 97681 | 53 | 4 | 56124 | 7097 | 18676 | 134 |
10 | Not Married | 96244 | 56 | 4 | 56051 | 7073 | 18484 | 141 |
11 | Not Married | 96886 | 44 | 2 | 55321 | 6982 | 18312 | 153 |
12 | Not Married | 96727 | 39 | 2 | 56440 | 7051 | 18376 | 120 |
13 | Not Married | 96690 | 57 | 2 | 56097 | 6822 | 18334 | 135 |
14 | Not Married | 96572 | 59 | 2 | 56515 | 7179 | 18648 | 123 |
15 | Not Married | 98717 | 40 | 3 | 56393 | 7036 | 18389 | 114 |
16 | Married | 106292 | 57 | 4 | 82299 | 10983 | 23063 | 132 |
17 | Married | 95801 | 54 | 3 | 73798 | 9395 | 23155 | 151 |
18 | Married | 95385 | 50 | 4 | 74110 | 9101 | 22847 | 211 |
19 | Married | 95865 | 46 | 1 | 74789 | 9321 | 22621 | 168 |
20 | Married | 109312 | 37 | 6 | 80801 | 10564 | 25392 | 58 |
21 | Married | 114051 | 42 | 5 | 84486 | 10820 | 25728 | 167 |
22 | Married | 110651 | 58 | 4 | 83766 | 11226 | 22899 | 113 |
23 | Married | 107338 | 67 | 2 | 83651 | 11710 | 21893 | 47 |
24 | Married | 101829 | 45 | 4 | 82385 | 10821 | 22409 | 121 |
25 | Married | 102244 | 34 | 4 | 74687 | 8735 | 27964 | 60 |
26 | Married | 113558 | 31 | 5 | 79861 | 10346 | 25006 | 141 |
27 | Married | 100947 | 35 | 4 | 73973 | 8455 | 26783 | 36 |
28 | Married | 107369 | 66 | 2 | 83441 | 11724 | 23174 | 82 |
29 | Married | 106894 | 51 | 5 | 81585 | 11360 | 22396 | 162 |
30 | Married | 97769 | 47 | 5 | 73950 | 9035 | 22867 | 202 |
31 | Married | 98885 | 45 | 4 | 57795 | 9653 | 23400 | 152 |
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