This will solve you to delete an element from an array in JQuery using the index

Consider following is my array
[js]
localHeaderColumnArray: Array[2]
0: "f"
1: "g"
length: 2
[/js]

To delete an element
[js]
delete localHeaderColumnArray[$(this).index()] ;
[/js]
Since I am using it in a click event of an li, I used $(this).index(). You can change it as
[js]
delete localHeaderColumnArray[$(this).index()] ;
[/js]