How to interpret the output from factor analysis in R

r
factor_analysis
data_wrangling

#1

Hello,

While doing factor analysis the following is the output I have got:

Call:

factanal(x = na.omit(auto_copy), factors = 3, data = na.ona.omit,     rotation = "varimax")

**Uniquenesses:**
   price engine_s horsepow wheelbas    width   length curb_wgt fuel_cap      mpg 
    0.24     0.18     0.00     0.19     0.33     0.07     0.11     0.14     0.21 

**Loadings:**
         Factor1 Factor2 Factor3
price     0.83                  
engine_s  0.69    0.38    0.44  
horsepow  0.95                  
wheelbas          0.82    0.38  
width     0.33    0.62    0.42  
length            0.93          
curb_wgt  0.37    0.45    0.74  
fuel_cap          0.41    0.79  
mpg      -0.42           -0.74  

               Factor1 Factor2 Factor3
SS loadings       2.59    2.55    2.38
Proportion Var    0.29    0.28    0.26
Cumulative Var    0.29    0.57    0.84

Test of the hypothesis that 3 factors are sufficient.
The chi square statistic is 42.03 on 12 degrees of freedom.
The p-value is 3.29e-05 

How to interpret the output?Also for the chi-square statistic part,the degrees of freedom changes to 6 when I take number of factors to be 4,why is it so??
Can somebody please explain these to me!!
Thanks!


#2

The uniqueness is the variance that is unexplained by the factors and is unique to that specific variable. The factors have different weights for different variables and they are called the loadings. This video will help you understand the basics of factor analysis:
Link