I used a multinomial logistic regression to predict whether people have confidence on a certain issue. The dependent variable has four categories 1 (1)not confident 2 (2)neutral 3 (3)confident 4 (4) unknown Independent variables include Identities, age, gender, education attainment, employment status, born in a certain place or not, community (urban or rural) and interaction terms. Following are the outcomes of the model: Model Fit Statistics Criterion Intercept Only Intercept and Covariates AIC 11678.775 11421.602 SC 11698.052 12019.195 -2 Log L 11672.775 11235.602 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 437.1734 90 <.0001 Score 456.9761 90 <.0001 Wald 396.1174 90 <.0001 Deviance and Pearson Goodness-of-Fit Statistics Criterion Value DF Value/DF Pr > ChiSq Deviance 4083.7242 4359 0.9368 0.9987 Pearson 4494.1027 4359 1.0310 0.0750 The Deviance and Pearson Goodness-of-Fit Statistics show that P-value for Deviance is high. However, the P-value for Pearson statistics is low, even it greater than 0.05. Can I draw a conclusion that the model fits the data well?
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