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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   ----------

                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934

                              (Amendment No. 13)*

                                   ----------

                               Kronos Incorporated
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                                (Name of Issuer)


                                  Common Stock
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                         (Title of Class of Securities)


                                    501052104
                            ------------------------
                                 (CUSIP Number)


                                December 31, 2003
             -------------------------------------------------------
             (Date of Event Which Requires Filing of this Statement)


     Check the appropriate box to designate the rule pursuant to which this
Schedule is filed:

                                [X]  Rule 13d-1(b)
                                [_]  Rule 13d-1(c)
                                [_]  Rule 13d-1(d)

                                   ----------

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).

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                               Page 1 of 10 pages



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CUSIP No. 501052104                    13G                    Page 2 of 10 Pages
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1    NAME OF REPORTING PERSON
     S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

          Columbia Wanger Asset Management, L.P. 36-3820584

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2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

          Not Applicable                                            (a) [_]
                                                                    (b) [_]

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3    SEC USE ONLY

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4    CITIZENSHIP OR PLACE OF ORGANIZATION

          Delaware

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NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH
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5    SOLE VOTING POWER

          None

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6    SHARED VOTING POWER

          3,210,375

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7    SOLE DISPOSITIVE POWER

          None

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8    SHARED DISPOSITIVE POWER

          3,210,375

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9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

          3,210,375

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10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

          Not Applicable                                                [_]

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11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

          10.4 %

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12   TYPE OF REPORTING PERSON*

          IA

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-------------------                                           ------------------
CUSIP No. 501052104                  13G                      Page 3 of 10 Pages
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1    NAME OF REPORTING PERSON
     S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

          WAM Acquisition GP, Inc.

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2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

          Not Applicable                                            (a) [_]
                                                                    (b) [_]

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3    SEC USE ONLY

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4    CITIZENSHIP OR PLACE OF ORGANIZATION

          Delaware

--------------------------------------------------------------------------------
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH
--------------------------------------------------------------------------------
5    SOLE VOTING POWER

          None

--------------------------------------------------------------------------------
6    SHARED VOTING POWER

          3,210,375

--------------------------------------------------------------------------------
7    SOLE DISPOSITIVE POWER

          None

--------------------------------------------------------------------------------
8    SHARED DISPOSITIVE POWER

          3,210,375

--------------------------------------------------------------------------------
9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

          3,210,375

--------------------------------------------------------------------------------
10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

          Not Applicable                                                [_]

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11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

          10.4 %

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12   TYPE OF REPORTING PERSON*

          CO

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-------------------                                           ------------------
CUSIP No. 501052104                   13G                     Page 4 of 10 Pages
-------------------                                           ------------------

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1    NAME OF REPORTING PERSON
     S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

          Columbia Acorn Trust

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2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

          Not Applicable                                            (a) [_]
                                                                    (b) [_]

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3    SEC USE ONLY

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4    CITIZENSHIP OR PLACE OF ORGANIZATION

          Massachusetts

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NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH
--------------------------------------------------------------------------------
5    SOLE VOTING POWER

          None

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6    SHARED VOTING POWER

          2,101,650

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7    SOLE DISPOSITIVE POWER

          None

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8    SHARED DISPOSITIVE POWER

          2,101,650

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9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

          2,101,650

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10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

          Not Applicable                                                [_]

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11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

          6.8 %

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12   TYPE OF REPORTING PERSON*

          IV

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Item 1(a)  Name of Issuer:

                 Kronos Incorporated

Item 1(b)  Address of Issuer's Principal Executive Offices:

                 297 Billerica Road
                 Chelmsford, MA 01824

Item 2(a)  Name of Person Filing:

                 Columbia Wanger Asset Management, L.P. ("WAM")
                 WAM Acquisition GP, Inc., the general partner of WAM ("WAM GP")
                 Columbia Acorn Trust ("Acorn")

Item 2(b)  Address of Principal Business Office:

                 WAM, WAM GP and Acorn are all located at:

                 227 West Monroe Street, Suite 3000
                 Chicago, Illinois  60606

Item 2(c)  Citizenship:

                 WAM is a Delaware limited  partnership;  WAM GP is a Delaware
                 corporation; and Acorn is a Massachusetts business trust.

Item 2(d)  Title of Class of Securities:

                 Common Stock

Item 2(e)  CUSIP Number:

                 501052104

Item 3     Type of Person:

                 (d)  Acorn is an Investment Company under section 8 of the
                      Investment Company Act.

                 (e)  WAM is an Investment Adviser registered under section 203
                      of the Investment Advisers Act of 1940; WAM GP is the
                      General Partner of the Investment Adviser.

                               Page 5 of 10 pages



Item 4     Ownership (at December 31, 2003):

                 (a)  Amount owned "beneficially" within the meaning of rule
                      13d-3:

                      3,210,375

                 (b)  Percent of class:

                      10.4 % (based on 30,751,302 shares outstanding as of
                      November 29, 2003, based on Form 10-K filed on December
                      23, 2003).

                 (c)  Number of shares as to which such person has:

                             (i) sole power to vote or to direct the vote: none
                            (ii) shared power to vote or to direct the vote:
                                 3,210,375
                           (iii) sole power to dispose or to direct the
                                 disposition of: none
                            (iv) shared power to dispose or to direct
                                 disposition of: 3,210,375

Item 5     Ownership of Five Percent or Less of a Class:

                 Not Applicable

Item 6     Ownership of More than Five Percent on Behalf of Another Person:

                 The shares reported herein have been acquired on behalf of
                 discretionary clients of WAM, including Acorn. Persons other
                 than WAM and WAM GP are entitled to receive all dividends from,
                 and proceeds from the sale of, those shares. Acorn is the only
                 such person known to be entitled to all dividends from, and all
                 proceeds from the sale of, shares reported herein to the extent
                 of more than 5% of the class.

Item 7     Identification and Classification of the Subsidiary Which Acquired
           the Security Being Reported on by the Parent Holding Company:

                 Not Applicable

Item 8     Identification and Classification of Members of the Group:

                 Not Applicable

Item 9     Notice of Dissolution of Group:

                 Not Applicable

                               Page 6 of 10 Pages



Item 10    Certification:

                 By signing below I certify that, to the best of my knowledge
           and belief, the securities referred to above were acquired and are
           held in the ordinary course of business and were not acquired and are
           not held for the purpose of or with the effect of changing or
           influencing the control of the issuer of the securities and were not
           acquired and are not held in connection with or as a participant in
           any transaction having that purpose or effect.

                               Page 7 of 10 Pages



                                   Signature
                                   ---------

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date:  February 10, 2004

                 The undersigned corporation, on the date above written, agrees
                 and consents to the joint filing on its behalf of this Schedule
                 13G in connection with its beneficial ownership of the security
                 reported herein.


                                        WAM Acquisition GP, Inc.
                                         for itself and as general partner of
                                         COLUMBIA WANGER ASSET MANAGEMENT, L.P.


                                        By:  /s/ Bruce H. Lauer
                                             -----------------------------------
                                                 Bruce H. Lauer
                                                 Senior Vice President and
                                                 Secretary


                 The undersigned trust, on the date above written, agrees and
                 consents to the joint filing on its behalf of this Schedule 13G
                 in connection with its beneficial ownership of the security
                 reported herein.


                                        COLUMBIA ACORN TRUST


                                        By:  /s/ Bruce H. Lauer
                                             -----------------------------------
                                                 Bruce H. Lauer
                                                 Vice President, Treasurer and
                                                 Secretary


                               Page 8 of 10 Pages



                                  Exhibit Index
                                  -------------

Exhibit 1        Joint Filing Agreement dated as of February 10, 2004 by and
                 among Columbia Wanger Asset Management, L.P., WAM Acquisition
                 GP, Inc. and Columbia Acorn Trust.

                               Page 9 of 10 Pages



                                                                       EXHIBIT 1

                             JOINT FILING AGREEMENT

     The undersigned hereby agree to the joint filing of the Schedule 13G to
which this Agreement is attached.

                 Dated:  February 10, 2004


                                        WAM Acquisition GP, Inc.
                                         for itself and as general partner of
                                         COLUMBIA WANGER ASSET MANAGEMENT, L.P.


                                        By:  /s/ Bruce H. Lauer
                                             -----------------------------------
                                                 Bruce H. Lauer
                                                 Senior Vice President and
                                                 Secretary


                                        COLUMBIA ACORN TRUST


                                        By:  /s/ Bruce H. Lauer
                                             -----------------------------------
                                                 Bruce H. Lauer
                                                 Vice President, Treasurer and
                                                 Secretary


                               Page 10 of 10 pages