Exhibit 99.2


                            CERTIFICATION PURSUANT TO
                              U.S.C. SECTION 1350
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


I, Peter C. Monson, Vice President, Treasurer and Chief Financial Officer of
Psychemedics Corporation (the "Company"), certify, pursuant to 18 U.S.C. Section
1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002,
that:

      (1)  The Company's Quarterly Report on Form 10-Q for the quarter ended
           September 30, 2002, as filed with the Securities and Exchange
           Commission on November 12, 2002 (the "Report"), fully complies with
           the requirements of Section 13(a) or 15(d) of the Securities Exchange
           Act of 1934; and

      (2)  The information contained in the Report fairly presents, in all
           material respects, the financial condition and results of operation
           of the Company.

Date: November 12, 2002                 By: /s/ Peter C. Monson
                                           -------------------------------
                                           Peter C. Monson
                                           Vice President, Treasurer &
                                           Chief Financial Officer

This certification accompanies this Report pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002 and shall not be deemed filed by the Company for
purposes of Section 18 of the Securities Exchange Act of 1934, as amended.