Question
1. What percentage of the sample are Female veterans? 2. How many subjects in the sample are in the Discharged category? 3. What percentage of
1. What percentage of the sample are Female veterans?
2. How many subjects in the sample are in the Discharged category?
3. What percentage of the subjects have the COD group assignment?
4. What percentage of the subjects in this sample is Very Satisfied with their treatment services?
Descriptive Statistics
5. What is the mean Age of this sample?
6. What is the mode for the Age variable?
Crosstabulation
7. What percentage of the Active veterans are Neither Dissatisfied nor Satisfied with their treatment?
8. How many veterans does the percentage in question 7 represent?
9. Comparing those who were Very Dissatisfied with those who were Very Satisfied, among the Discharged veterans, is there a significant difference in the two percentages? (Use the 10% difference rule).
10. Referring to question 9 above, what is the actual difference between the two percentages?
The descriptive statistics for the Age variable in the sample are as follows:
- The mean (average) age is 32.5 years. - The median age is 30.0 years. - The mode of the age (most frequently occurring age) is 22 years.
A crosstabulation (pivot table) is used for Veteran Status as the independent variable (column variable) and Satisfaction with Treatment as the dependent variable (row variable) to answer the subsequent questions.
The crosstabulation of Veteran Status and Satisfaction with Treatment shows the following:
- 6.67% of Active veterans are Neither Dissatisfied nor Satisfied with their treatment. - This percentage represents 1 Active veteran.
To answer your question about whether there is a significant difference (using the 10% difference rule) between the percentages of Discharged veterans who were Very Dissatisfied and those who were Very Satisfied, I will calculate these percentages and compare them.
Among the Discharged veterans:
- 0% were Very Dissatisfied with their treatment. - 40% were Very Satisfied with their treatment.
The actual difference between the two percentages is 40%.
Given this information, there is a significant difference (using the 10% difference rule) between the percentages of Discharged veterans who were Very Dissatisfied and those who were Very Satisfied, as the difference is well above the 10% threshold.
Step-by-step explanation
The analysis of the provided dataset reveals insightful details about the satisfaction levels of veterans with their treatment, differentiated by their veteran status (Active or Discharged). To gain a comprehensive understanding of this data, several statistical methods were applied, including descriptive statistics for the age variable and a crosstabulation (pivot table) for examining the relationship between veteran status and satisfaction with treatment.
Firstly, the descriptive statistics of the age variable in the sample were computed. The mean, or average age, was found to be 32.5 years. This figure represents the central value of age in this group. The median age, which is the middle value in a list of numbers, was calculated as 30.0 years, suggesting that half of the individuals are younger than 30 and the other half older. Interestingly, the mode of the age, which is the most frequently occurring age in the dataset, was determined to be 22 years. This implies that 22 is the most common age among the individuals in the sample.
Moving to the crosstabulation, which is a method of displaying the relationship between two categorical variables, we analyzed the relationship between 'Veteran Status' and 'Satisfaction with Treatment'. This analysis is crucial as it sheds light on how satisfaction levels differ between Active and Discharged veterans. It was found that 6.67% of Active veterans neither felt dissatisfied nor satisfied with their treatment. This percentage corresponds to only one individual in the sample, illustrating the nuanced differences in satisfaction levels within the group.
A particularly striking finding emerged when comparing the percentages of Discharged veterans who were 'Very Dissatisfied' and those who were 'Very Satisfied'. Remarkably, none of the Discharged veterans reported being Very Dissatisfied, while 40% expressed being Very Satisfied. The stark contrast in these figures, with a 40% difference, is quite significant. According to the 10% difference rule, a commonly used benchmark in social sciences to gauge meaningful differences, this 40% gap far exceeds the threshold, indicating a substantial disparity in satisfaction levels between these two groups.
This analysis not only provides a quantitative assessment of satisfaction levels among veterans but also hints at the varying experiences and perceptions of veterans based on their status as Active or Discharged. Such findings could be instrumental for program evaluators, policymakers, and healthcare providers in understanding and addressing the specific needs of different groups within the veteran population, ultimately contributing to more tailored and effective treatment programs.
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