It is common for me to register javascript functions for certain events by doing something like:
myBtn.Attributes.Add(\"onClick\", \"Validate(getElementById(
When you use getElementById() and it works that mean that the function where it's called is running on the context of the document, that's is this == document.
So, you should ALWAYS use document.getElementById to avoid that kind of errors.
Anyway, I would even stop using getElementById altogether and start using JQuery, i'm sure you'll never regret it.
Your code would look something like this if you used JQuery:
$("#myBtnID").click(function () { Validate($("#myTextboxID"))});