The Recommended Test-z test a t-test or an ANOVA
According to Rosnow and Rosenthal (2013), a z-test is used to test the hypothesis and evaluate the findings to determine if the association is statistically significant. Hence, it can help the researcher know if the means are similar. A t-test, on the other hand, is used in statistical tests to compute the mean of groups. It is best used to test the mean of the hypothesis testing to find out if the treatment has impacted the treated population. It can also help the researcher know if there is a difference between one group and another (Rosnow & Rosenthal, 2013). As for ANOVA, the method can only tell if there are statistical differences between the mean of the three or more independent groups. Here is a case where the researcher wants to see if cognitive behavior therapy (CBT) can be used for young people with depression. In this study, there are no two groups. ANOVA and z-test are not the best tests for this specific study. On the other hand, a T-test is made explicitly for a researcher to test the impact that a treatment will have on a population (Rosnow & Rosenthal, 2013). Thus, it will be applicable in this case to determine if CBT effectively affects young people diagnosed with depression.
The choice of my test would depend on the study. For instance, if the survey will have a treatment or not. Also, it will depend on the nature of the study, which has two groups (a treatment group and a control group). For this study, the causal design will be applied because the researcher is trying to understand the treatment of depression on a conditional statement. In other words, the study is trying to answer the question as to whether recovery from depression among the youth is possible if CBT is used (If X, then Y).
In this case, the hypothesis would be directional based on the selected design and the type of test used (Brewer & Stockton, 2010). Most importantly, looking at the study, one can see that a directional hypothesis best fits this study. The hypothesis will be that if CBT is used among young people with depression, the outcome will be positive. The test would be a one-tailed test based on the fact that this is a directional hypothesis. Consistently, the null hypothesis will be worded as follows: The use of CBT among youth diagnosed with depression does not show any significant outcome (Brewer & Stockton, 2010). The alternative hypothesis will be worded as follows: the use of CBT among youth diagnosed with depression will give positive or negative outcomes.
References
Rosnow, R. L., & Rosenthal, R. (2013). Beginning Behavioral Research: A Conceptual Primer. Pearson Education Inc.
Brewer, E., & Stockton, S. (2010). Directional hypothesis. In N. J. Salkind (Ed.), Encyclopedia of research design (pp. 366-367). SAGE Publications, Inc., https://dx.doi.org/10.4135/9781412961288.n114
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Question 
Prior to beginning work on this discussion forum, read Chapter 6 and Chapter 7 in the course text, Chapter 6 and pages 129 to 142 in Chapter 8 of the Jarman (2013) e-book, the Instructor Guidance for Week 4, and watch the ANOVA: Crash Course Statistics #33Links to an external site. ANOVA Part 2: Dealing with Intersectional Groups: Crash Course Statistics #34Links to an external site. Videos. You may also wish to review the information about inferential statistics from Week 3. In this discussion, you will evaluate a research question and determine how that question might best be analyzed. To do this, you will need to explain statistical concepts and assess assumptions, limitations, an
The Recommended Test-z test a t-test or an ANOVA
d implications associated with statistical tests.
W4.D.Decision Tree.png
A researcher wishes to study the effect of cognitive behavior therapy on young people diagnosed with depression. Consider and discuss the following questions as you respond:
Would you recommend using a z-test, a t-test, or an ANOVA for the analysis? Explain your answer.
What would your choice of test depend on? For the test you select, explain your design and your comparison groups.
Would the hypothesis be directional or nondirectional?
Would the test be one or two-tailed?
How would the null and alternative hypotheses be worded?