<PAGE>

                                                                    EXHIBIT 31.1

                                  CERTIFICATION

I, Jack Noonan, certify that:

1.     I have reviewed this annual report on Form 10-K of SPSS Inc.;

2.     Based on my knowledge, this report does not contain any untrue statement
       of a material fact or omit to state a material fact necessary to make the
       statements made, in light of the circumstances under which such
       statements were made, not misleading with respect to the period covered
       by this report;

3.     Based on my knowledge, the financial statements, and other financial
       information included in this report, fairly present in all material
       respects the financial condition, results of operations and cash flows of
       the registrant as of, and for, the periods presented in this report;

4.     The registrant's other certifying officer(s) and I are responsible for
       establishing and maintaining disclosure controls and procedures (as
       defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal
       control over financial reporting (as defined in Exchange Act Rules 13a-
       15(f) and 15d-15(f)) for the registrant and have:

       (a)    Designed such disclosure controls and procedures, or caused such
              disclosure controls and procedures to be designed under our
              supervision, to ensure that material information relating to the
              registrant, including its consolidated subsidiaries, is made known
              to us by others within those entities, particularly during the
              period in which this report is being prepared;

       (b)    Designed such internal control over financial reporting, or caused
              such internal control over financial reporting to be designed
              under our supervision, to provide reasonable assurance regarding
              the reliability of financial reporting and the preparation of
              financial statements for external purposes in accordance with
              generally accepted accounting principles;

       (c)    Evaluated the effectiveness of the registrant's disclosure
              controls and procedures and presented in this report our
              conclusions about the effectiveness of the disclosure controls and
              procedures, as of the end of the period covered by this report
              based on such evaluation; and

       (d)    Disclosed in this report any change in the registrant's internal
              control over financial reporting that occurred during the
              registrant's most recent fiscal quarter (the registrant's fourth
              fiscal quarter in the case of an annual report) that has
              materially affected, or is reasonably likely to materially affect,
              the registrant's internal control over financial reporting; and

5.     The registrant's other certifying officer(s) and I have disclosed, based
       on our most recent evaluation of internal control over financial
       reporting, to the registrant's auditors and the audit committee of the
       registrant's board of directors (or persons performing the equivalent
       functions):

       (a)    All significant deficiencies and material weaknesses in the design
              or operation of internal control over financial reporting which
              are reasonably likely to adversely affect the registrant's ability
              to record, process, summarize and report financial information;
              and

       (b)    Any fraud, whether or not material, that involves management or
              other employees who have a significant role in the registrant's
              internal control over financial reporting.

Date: February 21, 2008                   By:         /s/ Jack Noonan
                                              ----------------------------------
                                              Jack Noonan
                                              Chief Executive Officer and
                                              President