• Here's an alternative with no CTE or ranking function:

    SELECT

    s.*,

    y.ReasonToKeep

    FROM Sampledata s -- CI scan

    OUTER APPLY ( -- CI seek possible

    SELECT TOP 1 *

    FROM Sampledata i

    WHERE i.EntID = s.EntID

    AND i.ActionDate < s.ActionDate

    ORDER BY i.EntID, i.ActionDate DESC) x

    CROSS APPLY ( -- compute scalar

    SELECT

    ReasonToKeep = CASE

    WHEN x.Field_B IS NULL THEN 'FIRST'

    WHEN x.Field_B <> s.Field_B THEN 'CHANGED'

    END

    ) y

    WHERE y.ReasonToKeep IS NOT NULL

    “Write the query the simplest way. If through testing it becomes clear that the performance is inadequate, consider alternative query forms.” - Gail Shaw

    For fast, accurate and documented assistance in answering your questions, please read this article.
    Understanding and using APPLY, (I) and (II) Paul White
    Hidden RBAR: Triangular Joins / The "Numbers" or "Tally" Table: What it is and how it replaces a loop Jeff Moden