I know the reasoning behind not letting infinite password attempts -- brute force attempts is not a meatspace weakness, but a problem with computer security -- but where did they get the number 3 from?

Isn't denial of service a concern when implementing a lockout policy that is easily activated?

Is there any hard research showing an optimal number or range to choose before locking out an account that balances actual security threat with usability?

Thinking it through, I don't see any measurable security difference between 3 attempts and 20 attempts with the password complexity generally in use today.

(i know this skirts subjectivity, but i'm looking for measurement based opinions)

I know the reasoning behind not letting infinite password attempts - brute force attempts is not a meatspace weakness, but a problem with computer security - but where did they get the number three from?

Isn't denial of service a concern when implementing a lockout policy that is easily activated?

Is there any hard research showing an optimal number or range to choose before locking out an account that balances actual security threat with usability?

Thinking it through, I don't see any measurable security difference between three attempts and 20 attempts with the password complexity generally in use today.

(I know this skirts subjectivity, but I'm looking for measurement based opinions)