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Table 2 Likelihood ratio tests comparing the two-component models

From: Alternative approaches for econometric modeling of panel data using mixture distributions

  \(\mathcal {M}_{1}\) vs \(\mathcal {M}_{2}\) \(\mathcal {M}_{2}\) vs \(\mathcal {M}_{3}\) \(\mathcal {M}_{1}\) vs \(\mathcal {M}_{5}\) \(\mathcal {M}_{2}\) vs \(\mathcal {M}_{6}\) \(\mathcal {M}_{5}\) vs \(\mathcal {M}_{6}\)
Likelihood ratio 1833.337 19.504 1890.253 767.080 710.163
Degrees of freedom 7.000 2.000 9.000 2.000 7.000
pvalue 0.000 0.000 0.000 0.000 0.000
  1. Notes: These are regular likelihood ratio tests. The likelihood ratio is 2*(L 2L 1) where L 2 is the log-likelihood of the bigger model and L 1, the log-likelihood of the smaller model. Under the null hypothesis that the smaller model is true, this statistic has a χ 2(k 2k 1) distribution where k 2 is the number of parameters from the bigger model and k 1, the number of parameters from the smaller model