Descriptive Statistics and Variables

¶ … collects sample data from 2001 households across the United States to evaluate the attributes of the participants. The total number of 50 variables are used to identify the data attributes, however, three discrete variables and three continuous variables are selected to evaluate the relationships. The selected discrete variables are Number of Children, Number of cars and Mail Buyer. However, the selected continuous variables are Athletic Dimension, Length of residence, and Wealth Rating. The data analysis is carried out using the descriptive statistics to summarize the data in a manageable form using the Mean, mode and median to compare the discrete and continuous variables. The results of the analysis reveal that all the data of the discrete variables are complete, however, the data of the variables Lengthofresidence and Athleticdimension are missing affecting the validity of the data. The bar graph is also used to provide the visual presentation of the data. The t-test and chi-square are also used for the analysis to establish a statistically significant level of the discrete and continuous variables. However, the results of the variables Athletic Dimension and Length of residence are missing in the output of the t-test which affects the validity and reliability of the research findings.

Data and Methodology

The study collects data from 2,001 households from various states in the United States. Some of the data collected from the sample population include Number of Cars, Number of Children, and Mail Buyer pattern of selected households. Other data collected are the Length of Residence, Athletic Dimension and Wealth Rating. The data collected from the sample population are also their income level, wealth score, occupation, marital status, the number of children, and online purchasing habit. In the data collected, 50 variables are used to present the attributed of the data.

The study uses quantitative techniques to collect data using the survey method. The selected data for the analysis are the discrete variables and continuous variables. Selected discrete variables are as follows:

• Number of Children

• Number of cars

• Mail Buyer.

However, the variables of the continuous data selected for the analysis are the following:

• Athletic Dimension

• Length of residence

• Wealth Rating.

The characteristics of the discrete data are that they are counted while the continuous data is measured. In the survey, participants provide a number of children as 0,1,2,3 or 4. Moreover, participants answer 1, or 2 when asked a question about the number of cars they have. The participants answer 0,1 or 2 for the number of mail buyers.

On the other hand, in the variable Athletic Dimension, all the responses are labeled "Y." Moreover, the Length of Residence is measured by the number of years residing in a particular residence, and the responses vary between 1 and 15 years. The Wealth Rating variable is measured between 2 and 9.

The study uses different quantitative tools for the analysis. First, the paper uses the descriptive statistics such as the frequencies method to summarize and compare the data of the selected discrete and continuous variables. The descriptive statistics also presents the Median, Mean and Mode of the data. The tool also assists in comparing the discrete and continuous variables. The paper also uses the bar graph to compare all the variables. The benefit of the bar graph is that it assists in enhancing the visual presentation of the data. The output of the descriptive statistics reveal that all the data for the discrete variables are complete, however, only the Wealthrating variable is complete for the continuous variables and the data of other two variables are missing which affect the reliability and validity of the results.

Moreover, the study uses the t-test for the analysis of the continuous and discrete variables. The t-test is defined as the analysis of two sample data used to test the differences between the selected samples. However, the report uses the ANOVA method to in conducting the t-test for both the discrete and continuous variables The output of the t-test is presented in the value of Mean, standard deviation and standard error. The output also reveals the 95% Confidence Interval and Sig. (2-tailed). However, the variables Length of residence and Athletic Dimension are missing in the output of the t-test affecting the validity and reliability of the findings.

The chi-square is the other statistical tool for the analysis to test the statistically significant level of the two variables. For example, the result of the variables Numberofcars and Lengthofresidence are statistically significant. The Pearson chi-square also provides the relationship between the following variables: