Mathematics

• Damager Per Second Analysis:  Acquire two different weapons in world used by your character's class.  Using the targetting dummies in a capital city, find the average damage over time of each weapon and plot the data on a graph.  Try the same experiment again, this time with gear that changes your character's agility, strength, attack power, or other melee-related statistic.  Graph the new data.  What's the relationship between the statistic you tested and the DPS output?
• Buff Analysis:  Example - Which buff (a spell that enhances a character's abilities) is more effective for your character, Blessing of Kings or Blessing of Might?  Collect data at five different points during an encounter and graph them over time.  Why is one better than another?
   
• Healing Analysis:  Which types of heals produce a greater number of recovered hit points during an encounter?  quick burst heals, slower more powerful heals, or heal-over-time spells?
• Armor Analysis:  Compare various armor types with varying levels of AC (the statistic that determines how much damage a piece of armor negates).  Which is most/least effective?
• Resistance Analysis:  Collect data during an encounter that involves a great deal of spell damage (fire, frost, arcane, etc.).  Collect data about the amount of damage done to your character throughout the fight.  Graph it.  Repeat the encounter with either a resistance spell or resistance armor for that particular fight.  How much was the overall damage reduced?