1.Black box testing and
2.white box testing are the methodologies

1) black box
equivalence partioning
boundary value analysis
error guessing

2)white box testing
code coverage
line coverage

Black box testing and white box testing are Testing 
Techniques not methodologies.

We can define one methodology as follows

1. Create Testplan/Strategy
2.Design Testcases
3. Execution of Testcses
4. Reporting

Two types of methodologies are Black box and white box testing.
In black box testing there are 4 techniques they are:
1. Equivalent Value Patitioning
2. Boundary value analysis
3. Cause effect graphying
4. Error guesing
In white box testing there are 5 techniques they are:
1. Statement coverage
2. Branch coverage
3. Condition coverage
4. Function coverage
5. Path coverage

Test methodology means procedure used to derive or select 
test cases.

followig are common test methodologies.

                     Static

1>informal review            1>control flow
2>walkthrough                2>Data flow    
3>technical review           3>Static analysis 
4>Inspection       


                    Dynalic

1>Equivalence partioning     1>Statement testing
2>Boundry value analysis     2>Decision testing
3>Decision tables            3>Condition testing
4>State transition           4>Multicondition testing
5>Use case testing