What is equivalence partitioning?

Equivalence partitioning is a test case design strategy in black box testing. In this method, the input domain data is divided into different equivalence data classes. This method is typically used to reduce the total number of test cases to a finite set of testable test cases, still covering maximum requirements. In short, it is the process of taking all possible test cases and placing them into classes. One test value is picked from each class while testing.

An example:
Consider that you have an input box accepting numbers between 1 and 1000 using equivalence partitioning. The following are the test cases that you should have:
1) One input data class with all valid inputs. Pick a single value from range 1 to 1000 as a valid test case. If you select other values between 1 and 1000 then result is going to be same. So one test case for valid input data should be sufficient.
2) Input data class with all values below lower limit. I.e. any value below 1, as a invalid input data test case.
3) Input data with any value greater than 1000 to represent third invalid input class.

So using equivalence partitioning you have categorized all possible test cases into three classes. Test cases with other values from any class should give you the same result. You can consider using tools such as Microsoft Test Manager and Rational TestManager for test activity management, execution and reporting.

What is boundary value analysis?

Boundary value analysis is a test case design strategy in black box testing. It is widely recognized that input values at the extreme ends of input domain cause more errors in system. More application errors occur at the boundaries of input domain. Boundary value analysis testing technique is used to identify errors at boundaries rather than finding those exist in center of input domain.

An example:
Consider that you have an input box accepting numbers between 1 and 1000 using boundary value analysis. The following are the test cases that you should have:
1) Test cases with test data exactly as the input boundaries of input domain i.e. values 1 and 1000 in our case.
2) Test data with values just below the extreme edges of input domains i.e. values 0 and 999.
3) Test data with values just above the extreme edges of input domain i.e. values 2 and 1001.

You can consider using tools such as Microsoft Test Manager and Rational TestManager for test activity management, execution and reporting.