Question

#1. Which type of ANOVA would you use for each of the studies below?

• One-way between subjects (independent groups)
• One-way within subjects (repeated measures)
• Two-way between subjects

1. Measure the self-esteem of the same group of college students at the beginning, middle and end of their freshman year.
2. Compare math skills for three different professional groups: physicians, attorneys and psychologists.
3. Measure Body Mass Index (BMI) for persons who take Supplement X vs. a placebo and who either exercise regularly or don’t. So there are four groups: 1) Exercise/Take Supplement X, 2) Don’t Exercise/Take Supplement X, 3) Exercise/Take Placebo, 4) Don’t Exercise/Take Placebo
4. Look at satisfaction with mental health services based on the client’s ethnicity (White, Black, Hispanic, Asian or Other) and how they were greeted on their initial visit (receptionist smiles or does not smile).

Answer 1

(a)

One way within subjects ANOVA    (Repeated Measures)

Explanation:

The 3 Groups: (i) College students at the beginning of their freshman year., (ii) College students at the middle of their freshman year. and (iii) College students at the end of their freshman year.are not independent groups. They are related.

(b)

One - way between subjects (Independent Groups)

The 3 Groups: (i) Physicians,(ii) Attorneys and (iii) psychologists are independent groups.

(c)

Two way between subjects

The 2 Groups (i) Persons who exercise regularly and (ii) Persons who do not exercise regularly. Two Factors: (i) Take supplement X and (ii) Take Placebo

(d)

Two way between subjects

The 5 Groups: (i) White, (ii) Black, (iii) Hispanic, (iv) Asian and (v) Other. Two Factors:(i) Receptionist smiles and (ii) Receptionist does not smile