A NOTE ON NEYMAN’S TEST OF GOODNESS OF FIT USING THE EXTENDED LISREL MODEL WITH MEAN STRUCTURES

Daisy Bertrand (1) , Abdessadek El Ahmadi (2)

1 CERGAM - Centre d'Études et de Recherche en Gestion d'Aix-Marseille
2 LNC - Laboratoire de Neurosciences Cognitives [Marseille]

It is shown in this note that for testing discrepancy between a set of observed proportions in k mutually exclusive cells and corresponding expected probabilities, Neyman’s statistic is n / (n – 1) times the Jöreskog and Sörbom chi square goodness-of-fit of a factor model with no latent variables but with mean structures for (k – 1) binary indicators coding for the k-cell category. When the empirical data lead to a rejection of hypothesized model, the modification index gives useful information about post hoc tests for categorical data.

Keywords: Lisrel Model; Neyman’s statistic

Domains: Humanities and Social Sciences; Statistics [stat]

Daisy Bertrand, Abdessadek El Ahmadi. A NOTE ON NEYMAN’S TEST OF GOODNESS OF FIT USING THE EXTENDED LISREL MODEL WITH MEAN STRUCTURES. 2023. ⟨hal-04322688⟩