Question
Determine which statistical test to use. This is a multi-step question with several components, going through the process of selecting a statistical test. I am
Determine which statistical test to use.
This is a multi-step question with several components, going through the process of selecting a statistical test. I am genuinely trying to understand this process and it would be very helpful if details were provided on what I have labeled incorrectly.
The variables are: highest level of education and quality of life
Data is being pulled from GSS Data Explorer.
1) Do I have the independent and dependent variables identified correctly? If not, what is wrong?
Independent Variable (presumed cause): highest level of education (high school - graduate).
Dependent Variable (presumed effect): quality of life (rated as poor - excellent)
State the question for hypothesis:
Does having a higher level of education {effect, impact, or improve} quality of life?
2) Should the question be simplified, why?
Does level of education {effect, impact, or improve} quality of life?
3) Does it make a difference which word {effect, impact, or improve} I use? Will it change the meaning or direction of the question and hypothesis?
4) Which null hypothesis and alternative hypothesis is written correctly and why?
H0: highest level of education is equal to quality of life
H1: highest level of education is not equal to quality of life
H0: level of education significantly {effects, impacts, or improves} quality of life
H1: level of education does not significantly {effect, impact or improve} quality of life
5) Do I have data labeled correctly?
Data: level of education is nominal, categorical, qualitative
*This is where I am unclear.
is quality of life ordinal, qualitative.
or is quality of life quantitative because it is rated on a scale?
6) Do I have the sample labeled correctly?
Sample: 2 separate or independent groups. Highest level of education and quality of life.
*This is where I am unclear. I have one independent variable and one dependent variable.
Does that make this 2 independent samples?
An independent and a dependent sample?
2 dependent samples?
7) Do I have the purpose labeled correctly? Purpose: to find the relationship between level of education and quality of life
(does level of education {effect, impact, or improve} quality of life
*This is where I am unclear.
I do not believe I am comparing variables or am I because I used "equal" in the first hypothesis set?
Am I looking for a correlation between two variables, instead of a relationship? or are they the same?
8) Which statistical test is correct?
*This is where I am unclear.
I believe I need a non-parametric test because the data is both nominal and ordinal. I don't think the data will be normally distributed, I think there will be outliers, and most likely unequal variances.
However, the sample sizes are much larger (in the thousands) than the recommended 30 for a nonparametric test.
If this is 2 independent samples, then I would need a Mann-Whitney U test. But I am not trying to determine if the dispersion of ranks in two independent groups are equal, I believe I am looking for the relationship.
If this is a correlation between two variables, then I would need a Spearman-correlation. But Spearman correlation requires the data to be ordinal, only one of my variables is ordinal.
Chi-square is used for categorical data, but requires an expected value to compare the observed value. I do not have expected values with the data presented, nor do I know how to find expected data for these samples.
One flow chart suggested a linear regression, but I have 2 categorical variables. The linear regression requires interval data and more variables.
I appreciate the help and feedback for this question. Because I am trying to understand the process of each step, I may have follow up questions after the initial response.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started