Question

A researcher measures the correlation between the frequency of self-esteem (high,low)and health status (lean/healthy,overweight/obese).Based on the frequencies for each nominal category given below,what is the value of the phi correlation coefficient?img Health status Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18
A) 0.08
B) 0.28
C) 0.52
D) 0.56

Answer 1

Answer: B) 0.28

Step-by-step explanation:

Given that:

Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18

                Overweight/Obese      Lean/Healthy               Total

Low          32                                   18                                 50

High         18                                    32                                50

Total         50                                   50                               100

the phi correlation coefficient is defined by Ф = √x²/n

where n = 100 ( total number of response )

x² = [(32×32 - 18×18)² × 100] / [50 × 50 × 50 × 50]

Ф = √ [(700)² x 100) / (50)⁴ × 100

Ф = 700 / 50²

Ф = 0.28

Therefore option B) is the correct answer