dgp_2ndorder_cf_of_c {cSEM} | R Documentation |
Data: Second order common factor of composites
Description
A dataset containing 500 standardized observations on 19 indicator generated from a
population model with 6 concepts, three of which (c1-c3
) are composites
forming a second order common factor (c4
). The remaining two (eta1
, eta2
)
are concepts modeled as common factors .
Usage
dgp_2ndorder_cf_of_c
Format
A matrix with 500 rows and 19 variables:
- y11-y12
Indicators attached to
c1
. Population weights are: 0.8; 0.4. Population loadings are: 0.925; 0.65- y21-y24
Indicators attached to
c2
. Population weights are: 0.5; 0.3; 0.2; 0.4. Population loadings are: 0.804; 0.68; 0.554; 0.708- y31-y38
Indicators attached to
c3
. Population weights are: 0.3; 0.3; 0.1; 0.1; 0.2; 0.3; 0.4; 0.2. Population loadings are: 0.496; 0.61; 0.535; 0.391; 0.391; 0.6; 0.5285; 0.53- y41-y43
Indicators attached to
eta1
. Population loadings are: 0.8; 0.7; 0.7- y51-y53
Indicators attached to
eta1
. Population loadings are: 0.8; 0.8; 0.7
The model is:
`c4` = gamma1 * `eta1` + zeta1
`eta2` = gamma2 * `eta1` + beta * `c4` + zeta2
with population values gamma1
= 0.6, gamma2
= 0.4 and beta
= 0.35.
The second order common factor is
`c4` = lambdac1 * `c1` + lambdac2 * `c2` + lambdac3 * `c3` + epsilon