A likelihood ratio or Wald X² test formally tests the hypothesis of whether a term
contributes to the model.
In most modeling analyses the aim is a model that describes the relationship using as few terms as possible. It is therefore of interest to look at each term in the model to decide if the term is providing any useful information.
A X2 test for each term is a formal hypothesis test to determine if the term
provides useful information to the model. The null hypothesis states that the term does not
contribute to the model, against the alternative hypothesis that it does. When the p-value is
small, you can reject the null hypothesis and conclude that the term does contribute to the
When a term is not deemed to contribute statistically to the model, you may consider removing it. However, you should be cautious of removing terms that are known to contribute by some underlying mechanism, regardless of the statistical significance of a hypothesis test, and recognize that removing a term can alter the effect of other terms.