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# One ANOVA Testing

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Hi Chris,
The beginning question is asking "In your area of psychology." My area of psychology is Applied Behavioral Analyst or Behavioral Therapist or Clinical Psychology. This exercise trying to get one ready for research area involving psychological questions that may arise in one career into one the areas involving psychology. Chris you can feel free to use another area in psychology if you prefer, as long as the related content of this posting is related to some form of psychology. If you have any questions please feel free to ask me.
a. ANOVA Testing: In your area of psychology, formulate a research question that can be addressed using a one-way ANOVA test. You may use and expand your research question and include more than two groups to compare. Write down your question and why you feel that it is appropriate for a one-way ANOVA test.

b. State Hypotheses: State your null hypothesis and your alternative hypothesis. State your dependent variable, your independent variable, and the three or more groups that you plan to compare.

c. Describe Data: Describe the type of data you would collect. What sample size would you use and what would your data look like?

d. Predict Results: Predict the results of your ANOVA test and write out the appropriate conclusion. Using alpha of .05, include a pretend p-value (Sig. of your F test) that would justify either accepting or rejecting your null hypothesis. What would you expect from a Post Hoc test given your predicted results from your ANOVA test?

Here is a Helpful Example and Explanations as well as Guidelines for this assignment
In Unit 7, you considered the t-test for independent means, and you used this test to compare two sample groups from the independent variable. In Unit 7, my research question was whether creating video lectures for my students will significantly affect total class points.

In Unit 7, I had a class of 30 students. To research this question, I gave 15 students access to video tutorials each week, and the other 15 did not have access.

My dependent variable was total class points.

My question was whether the mean total class points for Group1 (students WITH video access) was significantly different from Group 2 (students WITHOUT video access).

Ho: mean total points for Group1 = mean total points for Group2

Ha: mean total points for Group1 ≠ mean total points for Group2

We can expand this concept into having an independent variable that is separated into more than two groups.

Suppose that instead of comparing only two means (Group 1 and Group 2), I want to compare three different groups:

Group 1: Watches all videos (1 per week)

Group 2: Watches half of the videos (1 every other week)

Again, my single independent variable is video access. But in this case, it is now separated into three groups (sometimes called levels or classes).

Because I want to compare the mean total points for all three groups, I must use an ANOVA test.

Ho: mean total points Group1 = mean total points Group2 = mean total points Group3

Ha: mean total points Group1 ≠ mean total points Group2 ≠ mean total points Group3

Suppose I pretend that I am going to reject the null hypothesis Ho. This means that at least one of my three video access groups is significantly different than the others. In other words, using alpha is .05, the p-value (Sig of the F test for ANOVA) is less than alpha and I can reject the null.

Next, I can use the Post Hoc to look at a comparison between all three groups. The results of the Post Hoc will help me to determine which groups are significantly different from each other.

https://brainmass.com/statistics/hypothesis-testing/one-anova-testing-583353

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## Anova Function in Excel to test Hypotheses

I need assistance testing these hypotheses using Anova (Single Factor) in Excel. I need to show what is returned( F-statistic, F critical, and a P-value.) I then need to use these values to reject or accept H0.

I have done this in Excel, but need help making sure my figures are right and determining if I accept or reject HO. Please return a help on making sure these are right and determining if i accept or reject the hypothesis.

My first claim is :

There is no difference between the level of intrinsic job satisfaction for employees in the Human Resource Department than in the Information Technology Department.

The Null hypothesis will be: H0: m1 = m2

Where m1 = mean of response to question 2 for those who fall under category 1 for question 1.
Where m2 = mean of response to question 2 for those who fall under category 2 for question 1.

The alternate hypothesis will be: H1: m1 does not equal m2

My work:
Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
Column 1(Department) 111 211 1.900901 0.09009
Column 2 (Intrinsic Job Satisfaction) 111 559.51 5.040631 1.244655

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 547.1136 1 547.1136 819.8024 3.83E-76 3.884074
Within Groups 146.822 220 0.667373

Total 693.9356 221

The second claim is:

I claim that employees in the Administration Dept are Extrinsically more satisfied than other employees in other departments.

The Null hypothesis will be: H0: m1 = m2

Where m1 = mean of response to claim for those who fall under Administrative department
Where m2 = mean of response to question 2 for those who fall under other departments

The alternate hypothesis will be: H1: m1 > m2

My work:

Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
Column 1 177 531 3 0
Column 2 177 902.2 5.097175 2.593003

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 389.2357 1 389.2357 300.22 4.5E-49 3.868012
Within Groups 456.3686 352 1.296502

Total 845.6043 353

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