Should p-values for chi-square and likelihood ratio chi-square tests be identical when estimated by Monte Carlo simulation?

Asked Apr 27 '18 at 02:59

Active Apr 27 '18 at 04:39

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The question and answer here suggest that the answer is “yes,” but my own analysis in SPSS suggests otherwise:

Note: I understand that the likelihood ratio chi-square and chi-square test are expected to yield different non-simulated (non-Monte Carlo) p-values simply because they have different statistical bases.

Edit: Also, if degrees of freedom are inapplicable when applying a Monte Carlo simulation, why is SPSS returning them here?

edited Apr 27 '18 at 04:39

asked Apr 27 '18 at 02:59

Maroon

Should p-values for chi-square and likelihood ratio chi-square tests be identical when estimated by Monte Carlo simulation?

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