A General Family of Limited Information Goodness-of-Fit Statistics for Multinomial Data

By Harry Joe, Albert Maydeu-Olivares. 2010

62 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9cbae89cbc5d80fab551c2f09a515fc0710137f0

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Citations in the corpus

Local Dependence Diagnostics in IRT Modeling of Binary Data (2013, methodology): “It can be checked that the transformation matrix TR2, jk satisfies conditions T and D of Joe and Maydeu-Olivares (2010) and, therefore, the bivariate R2, jk can be computed as an Mk statistic by Equations 16 and 17 using this transformation matrix.”
A New Statistic for Evaluating Item Response Theory Models for Ordinal Data. CRESST Report 839. (2014, methodology): “The construction of the new statistic lies formally between the statistic of Maydeu-Olivares and Joe (2006), which utilizes first and second order marginal probabilities, and the statistic of Cai and Hansen (2013), which collapses the marginal probabilities into means and product moments.”
Testing Measurement Invariance in Longitudinal Data with Ordered-Categorical Measures (2016, unknown): “According to asymptotic statistical theory, full information methods should produce parameter estimates with greater efficiency (Joe & Maydeu-Olivares, 2010; MaydeuOlivares & Joe, 2005).”
How True Is Grit? Assessing Its Relations to High School and College Students’ Personality Characteristics, Self-Regulation, Engagement, and Achievement (2017, methodology): “We used the following goodness of model fit indices: (a) an absolute model fit index (M2 statistic root mean square error of approximation [RMSEA]; Joe & Maydeu-Olivares, 2010) and (b) relative model fit indices (observed log-likelihood, Akaike information criterion [AIC], and Bayesian information…”
Goodness-of-Fit Assessment of Item Response Theory Models (2013, methodology): “Using theory from Joe and Maydeu-Olivares (2010), a statistic analogous to M2 may be computed using as summary statistics residual means and cross-products instead of the residuals p2 − π̂2.”