Please find attached document.
Analysis of Variance: Independent Measures
Part A:
Researchers were interested in whether lifetime coffee consumption was related to differences in pineal gland size in healthy older (60-94 years old) individuals. Using the number of years, they had been drinking coffee and the number of cups per day, Park and colleagues divided their participants into three groups based on their lifetime coffee consumption: low, moderate, and high. They also measured the volume of the pineal gland using magnetic resonance imaging (MRI). The data that follow are hypothetical pineal gland volume created so the conclusions and means you reach will mimic the experiment.
|
Low Coffee |
Moderate Coffee |
High Coffee |
|
5 |
5 |
3 |
|
4 |
5 |
4 |
|
4 |
5 |
4 |
|
4 |
4 |
4 |
|
5 |
4 |
4 |
|
5 |
4 |
3 |
|
5 |
6 |
4 |
Conduct an analysis using α = .05 to determine if lifetime coffee consumption is related to differences in pineal gland size. Answer the following questions:
a) Perform the F test, create an ANOVA summary table,
b) Complete a Tukey HSD analysis (if appropriate), calculate the effect size index f, and the three d‘s.
c) Write a conclusion about the relationship of lifetime coffee consumption and pineal gland size.
Part B:
1. Describe One-way Independent Anova and explain how it is used.
2. What test statistic is used in One-way Independent Anova? Explain in detail using an example.
3. Explain Tukey Honestly Significant Difference test.
4. A group of 72 participants was divided equally into four groups. A Tukey HSD test produced a value that led to the conclusion that Mean 1 was significantly larger than Mean 2, p < .05. What should be your conclusion?
