Dear All:


I am conducting a Confirmatory Factor Analysis (CFA) for the attached data.
Here is what I did. please see below

I do need your help with the structure of the model. I believe that what I
used is the correlated CFA model. If I am wrong, please fix me. I need your
help with the structure of the CFA uncorrelated model.



Thank you very much for your help in advance



Abou





datacfa<-read.table("G:/data_for_R.txt", header=TRUE)

head(datacfa)



install.packages("lavaan")

library(lavaan)



install.packages("semPlot")

library(semPlot)



install.packages("parameters")

library(parameters)



#### model structure



CAF.Factors <- 'Factor1 =~ X11 + X13 + X14 + X15 + X17

                            Factor2 =~ X6 + X7 + X12 + X16 + X19

                             Factor3 =~ X9 + X18 + X21

                             Factor4 =~ X19 + X20 + X22'



fourfactors.model.a <- cfa(CAF.Factors, data=datacfa,std.lv=TRUE)



summary(fourfactors.model.a, fit.measures=TRUE,standardized=TRUE)



semPaths(fourfactors.model.a, ncharNodes = 0, style = "lisrel", rotation =
2)



#####  model_parameters(fourfactors.model.a)



model_parameters(fourfactors.model.a, standardize = TRUE)


______________________


*AbouEl-Makarim Aboueissa, PhD*

*Professor, Statistics and Data Science*
*Graduate Coordinator*

*Department of Mathematics and Statistics*
*University of Southern Maine*
X6      X7      X8      X9      X10     X11     X12     X13     X14     X15     
X16     X17     X18     X19     X20     X21     X22
5       NA      2       1       4       4       5       5       5       5       
5       5       2       5       5       1       4
4       NA      3       2       4       5       5       NA      5       4       
5       4       2       5       5       1       4
5       5       5       1       5       3       5       3       4       4       
5       4       1       5       5       2       4
3       3       3       3       3       3       3       3       3       3       
3       3       3       3       3       3       3
3       3       3       3       3       3       3       3       3       3       
3       3       3       3       3       3       3
3       2       4       2       4       3       3       4       4       4       
4       4       1       4       4       2       2
3       4       5       2       2       4       3       4       4       4       
4       5       2       3       4       2       3
4       NA      5       2       3       5       5       3       4       3       
5       3       2       5       4       3       5
4       NA      3       1       2       4       5       4       4       3       
5       5       2       5       4       3       4
5       NA      5       1       1       5       5       5       5       5       
5       3       3       5       3       3       5
3       NA      4       2       4       4       4       3       4       4       
4       4       4       4       2       2       2
3       NA      4       2       2       4       4       2       5       2       
4       4       2       4       4       3       4
3       4       4       3       3       3       3       3       3       3       
4       4       NA      3       3       3       3
4       5       5       1       3       4       5       4       5       4       
4       4       2       4       4       3       4
5       5       5       2       3       5       5       3       4       5       
5       2       1       5       5       1       4
4       4       4       2       2       4       4       3       4       4       
4       4       2       5       4       2       5
NA      5       4       1       1       3       4       3       5       NA      
3       4       2       4       4       NA      4
5       4       3       1       2       3       4       4       4       3       
4       3       2       4       4       2       4
4       4       4       2       1       4       4       4       4       4       
4       3       1       5       4       1       5
5       5       3       1       3       5       5       3       5       4       
4       4       1       5       5       1       5
4       5       5       2       3       4       5       5       5       5       
5       5       1       5       5       3       5
4       5       4       2       NA      5       5       5       5       5       
5       5       1       5       5       NA      5
5       5       4       1       3       4       5       5       5       5       
5       5       1       5       5       1       4
5       5       4       2       4       5       5       5       5       4       
5       5       1       5       5       2       5
5       5       5       1       NA      4       5       5       5       NA      
5       5       1       5       5       1       5
4       4       3       2       4       4       4       4       4       3       
4       4       2       4       4       1       5
4       5       5       1       2       4       5       3       5       5       
4       4       1       5       4       3       4
3       4       5       1       4       5       3       3       5       4       
4       5       2       5       4       1       4
3       4       4       2       1       4       NA      4       4       3       
4       4       NA      4       4       2       3
4       4       3       1       3       4       5       3       5       4       
4       3       4       5       5       3       5
4       4       4       2       2       4       3       3       4       4       
3       3       4       3       4       3       3
5       5       5       1       1       5       5       5       5       5       
5       5       1       5       5       1       5
4       4       4       1       NA      4       4       4       4       4       
4       NA      1       4       4       1       4
5       5       3       1       2       4       5       5       5       5       
5       5       2       5       5       1       5
4       4       4       2       4       5       4       4       5       4       
4       5       2       5       5       2       5
3       5       3       1       1       1       5       5       3       3       
4       3       3       4       3       1       3
5       5       NA      1       NA      NA      5       NA      5       NA      
5       NA      1       5       5       1       NA
5       5       5       2       2       4       5       3       4       4       
5       4       2       4       4       3       3
4       4       1       1       4       3       4       3       4       3       
4       5       1       3       3       2       2
5       4       3       1       5       4       5       3       3       3       
4       4       1       4       5       1       4
5       5       2       1       2       4       5       5       2       4       
5       4       2       4       4       2       2
4       4       5       2       4       5       4       5       5       4       
5       4       4       5       4       3       5
4       4       4       1       1       5       5       5       4       4       
5       4       NA      5       5       1       3
5       5       2       1       4       2       5       2       4       4       
4       5       1       4       4       1       4
5       5       4       2       2       2       5       2       5       5       
5       5       2       5       4       4       4
5       4       3       1       4       4       5       3       4       4       
5       5       1       5       5       1       4
4       5       5       4       2       4       4       4       4       4       
4       4       2       4       4       NA      4
3       5       4       2       3       4       5       5       5       5       
5       5       1       5       5       2       1
3       4       4       2       2       3       4       4       5       4       
5       4       2       5       5       3       4
5       5       4       1       3       4       5       3       4       2       
4       4       1       5       4       1       4
4       4       4       1       5       4       4       4       4       4       
3       3       2       4       4       2       4
3       5       3       4       3       3       4       3       4       3       
5       4       3       5       5       3       4
2       4       4       2       4       4       4       4       4       4       
4       4       2       4       4       2       4
1       3       1       1       2       4       4       2       4       5       
3       5       2       3       4       1       5
1       3       3       3       3       3       3       3       3       3       
3       3       3       3       3       3       3
4       5       5       2       2       4       5       4       5       5       
4       5       2       4       5       1       4
4       5       4       1       3       4       5       4       4       4       
4       5       1       5       4       1       3
5       4       4       2       4       3       4       4       4       3       
4       4       2       4       4       1       4
4       4       4       1       4       4       4       4       4       3       
4       4       3       4       4       1       3
4       2       2       1       4       4       4       4       4       4       
4       4       4       4       4       4       4
4       4       4       2       2       4       4       2       4       2       
4       4       2       4       4       2       4
3       5       2       2       4       4       4       3       4       2       
4       4       2       4       4       2       2
4       4       5       2       3       5       5       4       4       4       
4       3       4       4       NA      3       3
5       4       4       2       NA      NA      5       4       4       NA      
4       4       2       5       4       NA      NA
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