A Dataset for Factor Analysis
The data set is obtained from Rencher (2002). Here, a 12-year old girl rates 7 of her acquaintances on a differential grade of 1-9 for five adjectives kind, intelligent, happy, likable, and just.
data(adjectives)
A data frame with 7 observations on the following 6 variables.
People
a factor with levels FATHER
FSM1a
FSM2
FSM3
MSMb
SISTER
TEACHER
Kind
a numeric vector
Intelligent
a numeric vector
Happy
a numeric vector
Likeable
a numeric vector
Just
a numeric vector
Rencher, A.C. (2002). Methods of Multivariate Analysis, 2e. J. Wiley.
data(adjectives) adjectivescor <- cor(adjectives[,-1]) round(adjectivescor,3) adj_eig <- eigen(adjectivescor) cumsum(adj_eig$values)/sum(adj_eig$values) adj_eig$vectors[,1:2] loadings1 <- adj_eig$vectors[,1]*sqrt(adj_eig$values[1]) loadings2 <- adj_eig$vectors[,2]*sqrt(adj_eig$values[2]) cbind(loadings1,loadings2) communalities <- (adj_eig$vectors[,1]*sqrt(adj_eig$values[1]))^2+ (adj_eig$vectors[,2]*sqrt(adj_eig$values[2]))^2 round(communalities,3) specific_variances <- 1-communalities round(specific_variances,3) var_acc_factors <- adj_eig$values round(var_acc_factors,3) prop_var <- adj_eig$values/sum(adj_eig$values) round(prop_var,3) cum_prop <- cumsum(adj_eig$values)/sum(adj_eig$values) round(cum_prop,3)
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