Are Higher qpAdm P-Values Better?
Yes. For two qpAdm models with the same target, the same right groups, and the same settings, the model with the higher p-value is the better statistical fit. qpAdm calculates a covariance-weighted discrepancy between the observed and model-fitted f4-statistics. The p-value indicates how unusual that discrepancy is under the model. A higher p-value means the discrepancy is less unusual and therefore indicates a better statistical fit. This does not mean that the model with the highest p-value for a target is automatically the best one, because qpAdm results depend on the selected right groups. Uninformative right-groups can lack the power to detect a bad model, while poorly chosen or overly restrictive ones might make a plausible model appear to fit badly. Hence, comparisons of p-values are most meaningful when models for the same target are compared using the same right groups and settings. Models with different numbers of sources are also comparable because p-values account for different degrees of freedom. Z-scores can be used to assess whether an additional source is justified. ...