Testing are of 3 types
 1. White box 
 2. Black Box and 
 3. Gray Box testing

White Box testing: - 
    This type of testing performed by the developer and 
testers who are having the knowledge on structural part.It 
is performend in unit testing
Black Box Testing: -
    This type of testing performaed by the person who are 
not having the knowledge on structial part. It totally 
depends upon the functional part
Gray Box Testing: -  
     This type of testing performed by the person who are 
having the knowledge on both functional and structural part

Unit test belogs to white box testing
Black Box tetsing: -
                   Smoke 
                   Integration testing
                   Re testing
                   Regrassion testing
                   System Testing
                   User Aceptance testing

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http://www.testinggeek.com/certification.asp 
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The two methods of testing are White Box Testing and Black 
Box Testing. If suppose more centage of testing is in Black 
Box and less percentage is in White Box it is known as Grey 
Box Testing. Like that if more White and less Black is 
there it is called as Glass Box Testing. Generally white 
Box testing will be done by Programmers itself. Pure 
testing will be done in Black Box methodology.
Black box testing is also known as Behavioural testing.

These are the methodologies of testing.

I think types of testing are
Unit Testing,
Integration Testing,
System Testing
User Acceptance Testing.

     In System testing only all kind of testings will come
like Adhoc, smoke, mutation etc.

Hi
       here White box Testing was done by developer's
only,if we want to do "White box" Testing means we should
have "Programing knowledge" this white box testing is
related with "Internal structure" of "Program".
for "White box" testing involved different different types
of testings like
1)Unit Testing
2)Integration Testing.
3)sanity Testing(this is the starting stage testing).

Black box Testing:
       For this black box testing no  need to have
programming knowledge.
1)Functional Testing
2)System Testing
3)Smoke Testing
4)security....
These all are  included in "Black box"Testing.