# Solved – Determine the degrees of freedom as well as the free parameters in an SEM

I need to determine both the

• number of free parameters to estimate and

• degrees of freedom

of a structural equation model. I know how to calculate these values by hand. However, when I use the R package `lavaan`, I get a different number. I calculate 59 parameters to estimate.

``library(lavaan) modelo1 <- '     ST ~ A*PA + B*MT+C*INF      PA=~CP127_1+CP127_2+CP127_3+CP127_4+CP127_5+CP127_6     MT=~CP128_1+CP128_2+CP128_3+CP128_4+CP128_5+CP128_6     INF=~CP138_1+CP138_2+CP138_3+CP138_4+CP138_5+CP138_6+CP138_7+CP138_8     ST=~CP139_1+CP139_2+CP139_3+CP139_4+CP139_5+CP139_6'  ajuste1 <- sem(modelo1,data=dataof,ordered =TRUE) summary(fit.measures=TRUE,ajuste1) ``

``lavaan (0.5-23.1097) converged normally after  65 iterations  Number of observations                           416  Estimator                                       DWLS      Robust Minimum Function Test Statistic              375.660     555.434 Degrees of freedom                               293         293 P-value (Chi-square)                           0.001       0.000 Scaling correction factor                                  0.977 Shift parameter                                          170.951 for simple second-order correction (Mplus variant) ``
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