Bi-Factor Model and Hierarchical second order model

[punyabeet sarangi]

Hi all.

I am new to Lavaan and SEM. Being a transport planning student I am tasked to evaluate the service quality perception regarding the introduction of a new metro system. These are the codes I have used to develop the bifactor and second order models. Both are running. But the questions that I have is:

1> Are the codes up to the mark to such that the output can be put up in a Journal paper.

2> Is it okay to compare a bifactor model with a second-order model. as most of the times either by adding or removing the significant IV,s bifactor model is coming better.

3> How to interpret the path coefficients in case of Bifactor  model as dual loadings are coming

Any guidance, suggestions or references to suitable journal papers will be highly appreciated.

Thanks in advance. 

Punyabeet Sarangi

PhD Scholar

## Bifactor Model 

sq_model1 = '

SK =~ Sq34_9 + Sq34_10 + Sq34_8 + Sq34_1 + Sq34_3

SP =~ Sq34_6 + Sq34_4 + Sq34_5

IP =~ a*Sq34_13 + a*Sq34_12

SQ =~ Sq34_9 + Sq34_10 + Sq34_8 + Sq34_1 + Sq34_3 +

Sq34_5 + Sq34_4 + Sq34_6 +

Sq34_13 + Sq34_12

Sq34_1 ~~  Sq34_6

'

cfa(sq_model1, data = kdata, orthogonal = T, std.lv = T) -> model.sq1

summary(model.sq1, standardized = T, rsquare = T, fit.measures = T)

## Second order model

sq_model2 = '

SK =~ Sq34_9 + Sq34_10 + Sq34_8 + Sq34_1 + Sq34_3

SP =~ Sq34_5 + Sq34_4 + Sq34_6

IP =~ Sq34_13 + Sq34_12

SQ =~ NA*IP + SP + SK

SQ ~~ 1*SQ

Sq34_9 ~~ Sq34_10

Sq34_9 ~~  Sq34_3

Sq34_1 ~~  Sq34_6

Sq34_3 ~~  Sq34_4

'

cfa(sq_model2, data = kdata) -> model.sq2

summary(model.sq2, standardized = T, rsquare = T, fit.measures = T)

[Andrew Kiselica]

Search for papers by Canivez or Biderman

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Andrew M. Kiselica, MA

University of South Florida

Doctoral Candidate in Clinical Psychology

[punyabeet sarangi]

How about the interpretation of coefficients in case of Bi-Factor Model

Thanks & Regards

Punyabeet Sarangi

Research Scholar

Civil Dept(Transportation Engg)

IIT Delhi

[Terrence Jorgensen]

How about the interpretation of coefficients in case of Bi-Factor Model

Like any multiple regression, the loadings are partial regression coefficients.  Loadings on the general factor are the effect of the common factor on indicators, controlling for the method factor(s).  Loadings on the method factor(s) are the effect of that factor on the indicator, controlling for the general factor.  

Terrence D. Jorgensen

Assistant Professor, Methods and Statistics

Research Institute for Child Development and Education, the University of Amsterdam

http://www.uva.nl/profile/t.d.jorgensen