Scripting Next level with Animation

EDIT: Don't think this was clear, it proceeds to the next level but doe's not do the animation. (Doe's the delay before changing level.)

Okay, so for my project I have created a collision box that will take me to the next level and have some delay that I need to have an animation go through (FadeOut). I have the animation itself connected to a transparent plane that is assigned to the player himself. But I can't figure out how to get the animation to actually run during the delay and also making it run from the plane itself. (During the delay no animation starts to play.)

public class LoadLevel : MonoBehaviour

     {
         public enum LoadType
         {
             ResetCurrent = 0,
             LoadIndex = 1,
             LoadName = 2,
         }
         
         public LoadType Load = LoadType.ResetCurrent;
         
         public int Index = 0;
         public string Name = "Default";
         
         public float DelayTimer = 5.0f;
         bool StartTimer = false;
         
         void Update () 
         {
             if ( StartTimer )
             {
                 DelayTimer -= Time.deltaTime;
                 if ( DelayTimer < 0 )
                 {
                 LoadTheLevel();
                 }
             }
         }
         
         public void OnTriggerEnter(){
             StartTimer = true;
             animation.Play ("FadeOutAnimation");
         }
         
         public void LoadTheLevel () 
         {
              if(Load == LoadType.ResetCurrent)
             {
                 Application.LoadLevel(Application.loadedLevel);
             }
             else if(Load == LoadType.LoadIndex)
             {
                 Application.LoadLevel(Index);
             }
             else if(Load == LoadType.LoadName)
             {
                 Application.LoadLevel(Name);
             }        
         }    
     }