| Title: | Satorra-Bentler Scaled Chi-Squared Difference Test |
|---|---|
| Description: | Calculates a Satorra-Bentler scaled chi-squared difference test between nested models that were estimated using maximum likelihood (ML) with robust standard errors, which cannot be calculated the traditional way. For details see Satorra & Bentler (2001) <doi:10.1007/bf02296192> and Satorra & Bentler (2010) <doi:10.1007/s11336-009-9135-y>. This package may be particularly helpful when used in conjunction with 'Mplus' software, specifically when implementing the complex survey option. In such cases, the model estimator in 'Mplus' defaults to ML with robust standard errors. |
| Authors: | Frank D. Mann <[email protected]> |
| Maintainer: | Frank D. Mann <[email protected]> |
| License: | MIT + file LICENSE |
| Version: | 0.1.0 |
| Built: | 2024-12-24 06:47:28 UTC |
| Source: | CRAN |
Takes chi-squared values from nested models estimated using maximum likelihood with robust standard errors, model degrees of freedom, scaling correlation factors and returns: (1) change in model chi-squared (2) change in model degrees of freedom and (3) the probability of rejecting the null.
sbs.chi(chi0, chi1, df0, df1, c0, c1)sbs.chi(chi0, chi1, df0, df1, c0, c1)
chi0 |
chi-squared value for the more restrictive model |
chi1 |
chi-squared value for the less restrictive model |
df0 |
degrees of freedom for the more restrictive model (with more degrees of freedom) |
df1 |
degrees of freedom for the less restrictive model (with fewer degrees of freedom) |
c0 |
scaling correction factor for the more restrictive model |
c1 |
scaling correction factor for the less restrictive model |
Change in model chi-squared, change in model degrees of freedom and the probability of rejecting the null
chi0 <- 50 chi1 <- 40 df0 <- 10 df1 <- 9 c0 <- 1 c1 <- 1 sbs.chi(chi0,chi1,df0,df1,c0,c1)chi0 <- 50 chi1 <- 40 df0 <- 10 df1 <- 9 c0 <- 1 c1 <- 1 sbs.chi(chi0,chi1,df0,df1,c0,c1)
Takes loglikelihood values from nested models estimated using maximum likelihood with robust standard errors, number of free parameters, scaling correlation factors and returns: (1) Satorra-Bentler scaled change in model chi-squared (2) change in model degrees of freedom and (3) the probability of rejecting the null.
sbs.log(L0, L1, p0, p1, c0, c1)sbs.log(L0, L1, p0, p1, c0, c1)
L0 |
loglikelihood value for the more restrictive model (should be a negatige value) |
L1 |
loglikelihood value for the less restrictive model (should be a negatige value) |
p0 |
number of free parameters for the more restrictive model (with fewer freely estimated parameters) |
p1 |
number of free parametersfor the less restrictive model (with more freely estimated parameters) |
c0 |
scaling correction factor for the more restrictive model |
c1 |
scaling correction factor for the less restrictive model |
Change in model chi-squared, change in model degrees of freedom and the probability of rejecting the null
L0 <- -50 L1 <- -45 p0 <- 9 p1 <- 10 c0 <- 1 c1 <- 1 sbs.log(L0,L1,p0,p1,c0,c1)L0 <- -50 L1 <- -45 p0 <- 9 p1 <- 10 c0 <- 1 c1 <- 1 sbs.log(L0,L1,p0,p1,c0,c1)