A recent study indicates that people tend to select video game avatars with characteristics similar to those of their creators (Bélisle & Onur, 2010). Participants who had created avatars for a virtual community game completed a questionnaire about their personalities. An independent group of viewers examined the avatars and recorded their impressions of the avatars. One personality characteristic considered was introverted/extroverted. The following table shows frequency distribution of personalities for participants and the avatars they created. Is there a significant relationship between the personalities of the participants and the personalities of their avatars? Test with α=.05. Compute the phi-coefficient to measure the size of the effect.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A recent study indicates that people tend to select video game avatars with characteristics similar to those of their creators (Bélisle & Onur, 2010). Participants who had created avatars for a virtual community game completed a questionnaire about their personalities. An independent group of viewers examined the avatars and recorded their impressions of the avatars. One personality characteristic considered was introverted/extroverted. The following table shows frequency distribution of personalities for participants and the avatars they created.
-
Is there a significant relationship between the personalities of the participants and the personalities of their avatars? Test with α=.05.
-
Compute the phi-coefficient to measure the size of the effect.
![Participant Personality
Introverted
Extroverted
Introverted
22
23
45
Avatar
Extroverted
16
39
55
Avatar
38
62](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2a15d71-6d23-40d4-ba6e-d4155331069b%2F3fa76d79-90da-4be5-b4dc-86f02fa7d4b6%2Fxfwhx2n_processed.png&w=3840&q=75)
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