ECMAScript does have Associated Arrays1 - Objects (and by extension, Arrays) are an example
However, some properties of Arrays are treated specially:
Array objects give special treatment to a certain class of property names. A property name P (in the form of a String value) is an array index if and only if ToString(ToUint32(P)) is equal to P ..
.. Specifically, whenever a property is added whose name is an array index, the length property is changed, if necessary, to be one more than the numeric value of that array index ..
Thus, given arr = [], the expressions arr["1"] and arr[1] refer to the same property name. Since P (the property name) is "1" and length is 0 from above, then assignment to such property will set arr.length to ToUint32(P)+1, or 2.
It is not possible to change this behavior. If you wish to not have a special length property, then use a "normal" Object instead of an Array. However, many of the Array.prototype functions can be used with arbitrary objects (with some implementation quirks aside) that have a length property and an Object can be created such that it uses Array.prototype as its own prototype.
All that being said, the post does not say what the real issue is. Instead of supposing that it must be done in that particular manner, consider explaining what the intent is: e.g. why a["10"]? And what is wrong if there are "11 items" if the object will be used in a List?
1 Please read the article before debating this statement: the term "Array" in the name does not imply an ordered sequence nor does it preclude an additional notion of a Length or the use of Hashing, etc. If you are going by a different definition, make sure to specify what it is and what the desired behavior is for a given operation.