Have a look at this description of the rubric that is different for more detail from the difference between analytical and holistic rubrics

Not long ago I finished a marathon of grading portfolios, and grading revised portfolios for my students. It’s a stressful and busy time, but the one thing I’m very happy about may be the way that my usage of holistic rubrics allows us check my source to focus this grading work on student development in reading, writing and thinking.

Many years ago I used analytical rubrics.

These are the rubrics that function similar to a checklist, where students will get 10 points with regards to their thesis statement, and get 7 points then with regards to their usage of evidence. A rubric that is holistic, generally describes what an item (such as for example an essay, analysis paragraph etc.)