Difference between Android Instrumentation test and Unit test in Android Studio?
Android tests
[Test types]
The diagram of test types in Android world
Local Unit test: JUnit, Mockito, PowerMock
Instrumentation tests(a kind of functional tests): Espresso, Robolectric, Robotium
//Functional tests(Integration, UI)
src/androidTest/java
//Unit tests
src/test/java
[Run test via Command line]
[Test double types]
UNIT TESTING
Unit tests that run on your local machine only. These tests are compiled to run locally on the JVM to minimize execution time. Use this approach to run unit tests that have no dependencies on the Android framework or have dependencies that mock objects can satisfy.
So basically, you run plain java code to test for example a content provider, database connections, input and output of methods. This doesn't run on Android. To run it you DON'T need a device.
INSTRUMENTATION TESTING
Unit tests that run on an Android device or emulator. These tests have access to Instrumentation information, such as the Context of the app under test. Use this approach to run unit tests that have Android dependencies which mock objects cannot easily satisfy.
So it mocks how the user will use the actual application, therefore you NEED a device (physical or emulator) to run it. It has access to views, activities, context, etc.
Reference: http://developer.android.com/tools/testing/testing_android.html
It seems to me that instrumentation testing is integration testing with the ability to control the life cycle and the events (onStart, onCreate etc) of the app.
Unit testing, as i understand it, is testing a Unit (eg Class) for its data and behavior.
For example, say you have a game: this game runs on an activity (main activity) and you have a character based on a Robot class, that has 2 methods (fire and move). You would test the main activity with an instrumentation test to see if it saves correctly when you leave the app, if it restores correctly when you restore it etc. and you would test Robot with a Unit test, to test its attributes and behavior.
Disclaimer: I'm not a java person, but i took interest in your question and i answered it based on a minor search online. You probably have to dig deeper into this to find a more detailed answer.
Unit tests isolate the component under test, and this is the reason why are often used together with Mocks frameworks as Mockito:because isolate the unit from their dependencies. Please notice what you say regarding the Android API is partially true, because there are also Instrumented Unit tests, namely Instrumentation is part of the Junit package as well, and also the classes that extend TestCase as the class AndroidTestCase is part of the Junit package but allows the use of A)Context, that you can call with getContext(), and B)Resources that are part of the Android API! Also please consider AndroidTestCase is a base class and there are several other classes quite useful that extend this class. They test specifically Loaders, ContentProviders and even Services and also them have access to the Android API. so these classes provide JUnit testing framework as well as Android-specific methods. Now with Junit4 there is the ServiceTestRule that extends directly from Object and allow you easier to test a Service, although you cannot start an Intent directly inside this class.
Instrumentation tests they are also into the Junit package, but the control of the Android API is quite total because Instrumentation Tests are instantiated in the system before any application code is run, and to test you need to open the real application(emulator or a phone connected with USB). They access to android components(ex. click a button) and application life cycle, they are usually slower than Junit tests that extend TestCase( the ones examined above) the typical use is with ActivityInstrumentationTestCase2 that has a functional test approach, more user oriented.
EDIT: Regarding Roboelectric and Mockito, that are togheter with Espresso between the most popular testing frameworks at the moment(13 July 2016), Roboelectric allows you to run multiple tests in seconds instead of minutes, and this comes really handy in teams that have to run continuous tests, and are subject to continuous integration.
From the site of Robolectric:
An alternate approach to Robolectric is to use mock frameworks such as Mockito or to mock out the Android SDK. While this is a valid approach, it often yields tests that are essentially reverse implementations of the application code. Roboelectric allows a test style that is closer to black box testing, making the tests more effective for refactoring and allowing the tests to focus on the behavior of the application instead of the implementation of Android. You can still use a mocking framework along with Robolectric if you like.
Mockito that also can be used with Junit, is really used with the exception of when have to manage final classes, anonymous classes or primitive types.