Respond to one of your colleaguesâ€™ posts and:
- Make recommendations for the design choice.
- Explain whether you think that this is the appropriate t test to use for the question. Why or why not?
- As a lay reader, were you able to understand the results and their implications? Why or why not?
“What is your research question?
When dealing with the socio-economic status composite interval, we want to know the difference in economic status between northeast and west school regions?
What is the null hypothesis for your question?
To determine the hull and alternate hypothesis, we need to analyze the Leveneâ€™s test results in the independent samples test table. When â€œpâ€ is less than 0.05, we know that the null hypothesis (H0) is rejected and the alternate hypothesis is accepted. In other words, the variances are significantly different when p<0.05. When â€œpâ€ is more than 0.05, the mean-variance are not significantly different, and the null hypothesis is accepted. For instance, the p-value for the socio-economic status composite variable is .025, but the alpha value is 0.05, which indicates that H0 is rejected and H1 is accepted. The reason why is because .025 (p-value) is less than 0.05.
What research design would align with this question?
A descriptive research design would be best aligned with this question.
What comparison of means test was used to answer the question (be sure to defend the use of the test using the article you found in your search)?
To answer this question we need to compares the means of the northeast and west regions to tell the difference from each other. For instance, the mean for northeastern schools are 0.1507, and the mean for the western schools are .0003; the difference between the two regions is equal to 0.15. The t-test also tells you how significant the differences are; In other words, it lets you know if those differences could have happened by chance (Glen, 2018).
What dependent variable was used and how is it measured?
The dependent variable is socio-economic status composite (Equal variances assumed and not assumed) and it is measure via independent samples test.
What independent variable is used and how is it measured?
The independent variable is the school geographic region, which has two groups: northeast and west. It is measured by group statistics.
If you found significance, what is the strength of the effect?
We use Cohen d to get the strength of the effect. The formula is 2*t/ âˆšdf (Thus formula is only use in independent sample t-test):
Equal variances assumed = 2*8.285/âˆš7042 â†’ 16.57/83.91 = 0.1975
Equal variances not assumed = 2*8.274/âˆš6919 â†’ 16.55/83.18 = 0.1990
Identify your research question and explain your results for a lay audience, what is the answer to your research question?
We can conclude that there was a significant difference in socio-economic status between the northeast and west school regions.