read the article, Pay special attention to the methods used by the researchers. What are the strengths and limitations of the methods used? Also, evaluate their proposed notion (hypothesis) of SDO as a distinct personality characteristic that has practical value (e.g., it can be used to predict important behaviors).
There is much data presented in this paper, so provide just some examples of results that support or reject their hypotheses concerning SDO. For example, is there data to support that SDO predicts the types of roles a person prefers, or does SDO predict preference for in-group vs out-group superiority? Also consider if SDO predicts preference for hierarchy-enhancing vs hierarchy-attenuating social structures. These are just some examples; you should explore other ideas after carefully reading the paper.