kcoppock is right, you need to use valueAt(), the working code should be
SparseBooleanArray checkedItems = categorySelector.getCheckedItemPositions();
if (checkedItems != null) {
for (int i=0; i<checkedItems.size(); i++) {
if (checkedItems.valueAt(i)) {
String item = categorySelector.getAdapter().getItem(
checkedItems.keyAt(i)).toString();
Log.i(TAG,item + " was selected");
}
}
}