The study tested models for climate data to see if they were related in space and time. The results showed that the test used to check this relationship did not follow a specific distribution as expected. Different models with the same basic part but different ways of looking at the data were compared using a likelihood ratio test. This test helps to see if one model is better than the other. The findings suggest that under certain conditions, the test statistic follows a specific distribution, which helps in comparing the models.