You can check your character's statistics on the Character screen!
To participate in Quick-Battle matchmaking, you'll need to reach the various stat requirements of the mission you're planning to run!
CounterForce (CF): A stat that adjusts your damage output against certain bosses, based on the Counterforce Resistance stat that the boss has. Bosses begin to have Counterforce Resistance starting from Level 100. You can see what CF Resistance a boss has by hovering over 'View monster info' in the Battle Info:
You may notice that some missions indicate that ATT and M.ATT are applied up to a maximum value. To improve your damage even after reaching this value, be sure to also raise these stats:
Critical and Critical Resistance: Stats that affect how often a hit will become a Critical Hit. The attacker's Critical, minus the defender's Critical Resistance, will influence the Critical Hit chance. Ordinarily, the maximum Critical Hit chance is 50%, even against monsters with low Critical Resistance.
Balance (BAL) and Balance Resistance: Represents the consistency of your attacks. A low Balance score will allow your attacks' damage to vary wildly, whereas a high Balance score will allow your attacks' damage to be more consistent. Players don't have Balance Resistance, but Boss monsters do; subtract the monster's Balance Resistance from your Balance stat to get your effective Balance against that monster!
Attack Speed (ATT SPD): The speed of your attacks. Higher attack speed means attacking faster, of course! For some characters, this can also influence the speed of certain techniques.
Additional Dmg (ADD): Extra damage that is applied when you attack! This goes beyond the maximum values for ATT and M.ATT set by a mission.
ATT Surplus*: Also referred to as Attack Limit Reduction (ALR), this value is added to the maximum set by a mission. For example, with an ATT Surplus stat of 1000, your ATT (or M.ATT) can go as high as 38,000 when running the mission [Dungeon Laboratory]. This stat also applies to M.ATT characters!
*You still need to have an ATT or M.ATT stat high enough to take advantage of the extended maximum granted by the ATT Surplus stat!