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

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