We will be using the bfi data (bfi is a data frame available in R), which has 28 variables, and 1000 observations. The data are the results of a study of 1000 individuals who were asked to rate themselves on a Likert scale of 1 to 6. The last three variables in the data frame report age, education and gender. VARIABLE INTERPRETATION A1 Indifferent to others A2 Inquire about others’ well-being A3 Know how to comfort others A4 Love children A5 Make people feel at ease C1 Exacting in my work C2 Continue until everything is perfect C3 Do things according to a plan C4 Do things in a half-way manner C5 Waste my time E1 Don’t talk a lot E2 Find it difficult to approach others E3 Know how to captivate people E4 Make friends easily E5 Take charge N1 Get angry easily N2 Get irritated easily N3 Have frequent mood swings N4 Often feel blue N5 Panic easily O1 Am full of ideas O2 Avoid imposing my will on others O3 Carry the conversation to a higher level O4 Spend time reflecting on things O5 Will not probe deeply into a subject Question 1 : Perform both principle component analysis and factor analysis on bfi dataset(except age, gender and education), how many factors/components are extracted? Question 2: Draw a diagram with factor analysis loadings based on the results of question 1 (only show the biggest loading per item). Read the table above, understand the meaning of each item, and try to name one of the factors/components extracted in question 1.
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