A Researcher Is Interested in Knowing If Different Types of Treatments

question 102

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A researcher is interested in knowing if different types of treatments have an effect on the number of relapses for clients with the diagnosis of alcoholism. He randomly selects a group of 24 clients from a waiting list at a local mental health center who consent to the study. Then he randomly assigns 6 subjects to each treatment group. Group 1 is a waiting list control group. They are given no treatment. Group 2 receives a medication that causes illness when alcohol is consumed. Group 3 gets cognitive behavior therapy, and Group 4 gets cognitive behavior therapy plus the drug. The researcher then records the number of relapses in the next 12 months. The following data are obtained.
a. State the alternative hypothesis.
b. State the null hypothesis.
c. What is the value of SS within ?
d. What is the value of SS between ?
e. What is the value of SS total ?
f. What is the value of F obt ?
g. What do you conclude, using a = 0.05?
h. What is the size of the effect, using ?
i. What is the size of the effect, using ²?

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Definitions:

Passive Smoking

Involuntary inhalation of smoke from cigarettes or other tobacco products used by others; also known as secondhand smoke.

Health Problems

Any disorder, disease, or condition that affects an individual's physical or mental well-being.

Adolescents

Individuals in the period of development from the onset of puberty to maturity.

Nicotine Replacement Therapy

A medical treatment designed to help people quit smoking by providing nicotine in forms other than tobacco, thereby reducing withdrawal symptoms.