There are lots of test terms bandied about. I find there is general inconsistency among software development practitioners in what each one means. Here are my definitions of the different types of test. I have tried to establish simple, clear definitions for each test term.
One that is executed by a human against the target system.
One that is run using some sort of scripting, with the scripting kicked off by a continuous integration system.
A single test case where the target piece of functionality under test is running in a contained or mocked environment. Automation is implied.
Basic Integration test
The target code runs in a "basic" environment that includes live instances of all it's immediate dependencies such as databases, file systems, network I/O, messaging buses etc. Automation is implied.
A test case is one that runs towards a software entity, and that entity is running on the actual environment it is meant to run on in production. An Integration test may be automated or manual.
These are tests that are understood by the user of the output of the system. That user could be human or machine.
White box test
A white box test is one that is written by some one with full knowledge and access of the solution source code and architecture.
Black box test
A black box test is one that is written by some one that has no or limited knowledge of the solution source code and architecture.
Test Spec or Test Specification
A list of tests. It should specify the use case, the inputs and the expected behaviour or output. For automated tests, the specification is a description of the test function.
A collection of automated tests. Should be equivalent to a test specification.
Test Report This is a summary of the output