adjectives {ACSWR}

A Dataset for Factor Analysis

Description

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.

Usage

data(adjectives)

Format

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

References

Rencher, A.C. (2002). Methods of Multivariate Analysis, 2e. J. Wiley.

Examples

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)