Week 6 Discussion

Hypothesis Testing: One-Way Analysis of Variance (ANOVA)

A statistical hypothesis is a claim about a population parameter.Hypothesis testing is a way to build support for or against a population claim. This week we will be conducting a test that compares two or more population means. That test is referred to as a One-Way Analysis of Variance (ANOVA).

To prepare for this Discussion:

• Review the Week 6 Discussion resources.
• Complete the MyLab Statistics homework before you work on the Discussion.
• Find one qualitative variable that can be broken into three independent groups that can be tested on the same quantitative variable.
• Create a table showing the results of your data collection.

Everyone will be testing to see if three or more group means are statistically equal. You may have to search the internet or research your field of study for appropriate variables. Stick to health-related topics. You cannot use rates, percentages or proportions in your table. You must list the numeric values.

Example:

Participants in a study on the effectiveness of common pain relievers are randomly assigned to one of three groups, aspirin, ibuprofen, and naproxen. The participants have all indicated that they experience arthritic pain in their hands on a daily basis.

A study is designed to test whether there is a difference in mean reduction of pain 30 minutes after taking the pain reliever they have been assigned to. The participants rated the effectiveness of the pain reliever on a scale from 0 to 10.The scores are listed in the table below.

Type of Pain Reliever

Aspirin	Ibuprofen	Naproxin
5	10	8
10	1	6
8	7	1
6	8	9
7	5	4
8	7	3

Aspirin Group	Ibuprofen Group	Naproxin Group
n1=6	n2=6	n3=6
mean = 7.3	mean = 6.3	mean = 5.2

Is there a statistically significant difference in the mean pain relief of participants taking aspirin, ibuprofen, and naproxin? We will run a One-way ANOVA

Null Hypothesis H₀: ₁= ₂= ₃

Alternative Hypothesis H₁: Means are not all equal

Significance Level =0.05

Test Stat, F: 0.96651

Critical F: 3.68232

P-Value: 0.40288

By Day 5

Post a 2- to 3- paragraph write-up that includes the following:

1. Describe the scenario you will be using for the hypothesis test.
2. Include both tables as shown above and describe the variables you will be using for the hypothesis test.
3. State the null and alternative hypotheses and your level of significance.
4. Enter the data into the Statdisk Sample Editor.
5. Choose Analysis and then One-Way Analysis of Variance. If you want to use a different level of significance, change the value. Paste only the Statdisk results in your Discussion as shown above.
6. Write a conclusion statement based on your comparison of the p-value and level of significance. Your conclusion to accept or reject is always directed to the null hypothesis.
7. List the degrees of freedom.