Question
The 16PF contains 163 variables, which describes Cattell's 16 Personality Factors Test. Description of the variables are located in codebook.html.
Note: 0 represents missing, NEEDS to be REMOVED
a) How many components are needed toaccount for 80%of the variance in the data? How is the number of components determined here?
b) Using the eigenvalue method, how many components would you choose? If you were using the knee of the scree plot, how many components would you choose?
c) i) Run a principal component analysis and visualize the top 10 variables of the first components. How many components did you choose? How did you choose the number of components?
ii) Interpret each component in a sentence or two? Write the equation of the
first
component using the component loadings.
d) Find the five-number summary of your component scores. What do the five-number summary of your scores tell you about the respondent's personalities?
e) Conduct a factor analysis. How does it defer from the PCA in part d?
Question The 16PF contains 163 variables, which describes Cattell's 16 Personality Factors Test. Description of the variables are located in variable description word doc. Note: 0 represents missing, NEEDS to be REMOVED a) How many components are needed to account for 80% of the variance in the data? How is the number of components determined here? b) Using the eigenvalue method, how many components would you choose? If you were using the knee of the scree plot, how many components would you choose? c) i) Run a principal component analysis and visualize the top 10 variables of the first components. How many components did you choose? How did you choose the number of components? ii) Interpret each component in a sentence or two? Write the equation of the first component using the component loadings. d) Find the five-number summary of your component scores. What do the five-number summary of your scores tell you about the respondent's personalities? e) Conduct a factor analysis. How does it defer from the PCA in part d? Field Format Description A1 INTEGER "I know how to comfort others" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A2 INTEGER "I enjoy bringing people together" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A3 INTEGER "I feel others' emotions" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A4 INTEGER "I take an interest in other people's lives" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A5 INTEGER "I cheer people up" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A6 INTEGER "I make people feel at ease" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A7 INTEGER "I take time out for others" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A8 INTEGER "I don't like to get involved in other people's problems" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A9 INTEGER "I am not really interested in others" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". A10 INTEGER "I try not to think about the needy" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B1 INTEGER "I make insightful remarks" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B2 INTEGER "I know the answers to many questions" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B3 INTEGER "I tend to analyze things" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B4 INTEGER "I use my brain" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B5 INTEGER "I learn quickly" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B6 INTEGER "I counter others' arguments" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B7 INTEGER "I reflect on things before acting" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B8 INTEGER "I weigh the pros against the cons" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B9 INTEGER "I consider myself an average person" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B10 INTEGER "I get confused easily" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B11 INTEGER "I know that I am not a special person" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B12 INTEGER "I have a poor vocabulary" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". B13 INTEGER "I skip difficult words while reading" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C1 INTEGER "I seldom feel blue" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C2 INTEGER "I feel comfortable with myself" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C3 INTEGER "I readily overcome setbacks" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C4 INTEGER "I am relaxed most of the time" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C5 INTEGER "I am not easily frustrated" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C6 INTEGER "I have frequent mood swings" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C7 INTEGER "I often feel blue" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C8 INTEGER "I dislike myself" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C9 INTEGER "I feel desperate" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". C10 INTEGER "I am easily discouraged" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". D1 INTEGER "I take charge" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled as "disagree", 3 was labeled as "neither agree not disagree", 4 was labeled as "agree" and 5 was labeled as "strongly agree". D2 INTEGER "I want to be in charge" rated on a five point scale (1-5;0 if missed). 1 was labeled as "strongly disagree", 2 was labeled