eigenvector

[asghar]

Hello to all

I have below correlation matrix. I got eigenvalues and eigenvectors by using CALL EIGEN command in spss syntax. elements of eigenvector for first eigenvalue are negative. I did this analysis in SAS program. But elements of eigenvector for the first einenvalue are positive. could anyone please help to find the reason of this different results in two these softwares(SPSS and SAS). Please tell me, which is correct solution.


with best regards,
asghar



R={1.00 , .407, .315, .410 , .348;
     .407 ,  1.00 ,  .151, .220,  .220;
    .315,  .151,   1.00,  .400,  .077 ;
    .410,  .220,  .400, 1.00,  .160;
    .348,  .220, .077,  .160,   1.00}.



SPSS
Run MATRIX procedure:
 
A
  -.5519753361  -.1324885342  -.0380180912  -.1157827542  -.8141983758
  -.4189906133  -.3527569116  -.7427286539   .1498984098   .3548155024
  -.4076001635   .5931608825   .1222964640   .6790093781   .0775378203
  -.4802953099   .3906879012   .1154858899  -.6909341149   .3548977842
  -.3506402948  -.5945859744   .6470049115   .1602533429   .2814647639
 
B
   2.119374527
   1.026117465
    .770116074
    .590769943
    .493621991
 





                                          The SAS System      14:27 Thursday, December 7, 2013  13

                                                A

                                            2.1193745
                                            1.0261175
                                            0.7701161
                                            0.5907699
                                            0.493622


                                                B

                        0.5519753 0.1324885 -0.038018 -0.115783 -0.814198
                        0.4189906 0.3527569 -0.742729 0.1498984 0.3548155
                        0.4076002 -0.593161 0.1222965 0.6790094 0.0775378
                        0.4802953 -0.390688 0.1154859 -0.690934 0.3548978
                        0.3506403  0.594586 0.6470049 0.1602533 0.2814648

[Art Kendall]

in this situation the "direction" of an eigenvector is purely arbitrary. Both packages show the same solution except for the arbitrary direction.


Are you trying to learn matrix algebra or are you trying to implement some procedure.
If it is the latter what are you trying to do? it is possible that there is already some procedure implemented either in SPSS or by someone else using SPSS.
On 12/7/2013 7:39 AM, asghar [via SPSSX Discussion] wrote:

Hello to all

I have below correlation matrix. I got eigenvalues and eigenvectors by using CALL EIGEN command in spss syntax. elements of eigenvector for first eigenvalue are negative. I did this analysis in SAS program. But elements of eigenvector for the first einenvalue are positive. could anyone please help to find the reason of this different results in two these softwares(SPSS and SAS). Please tell me, which is correct solution.


with best regards,
asghar



R={1.00 , .407, .315, .410 , .348;
     .407 ,  1.00 ,  .151, .220,  .220;
    .315,  .151,   1.00,  .400,  .077 ;
    .410,  .220,  .400, 1.00,  .160;
    .348,  .220, .077,  .160,   1.00}.



SPSS
Run MATRIX procedure:
 
A
  -.5519753361  -.1324885342  -.0380180912  -.1157827542  -.8141983758
  -.4189906133  -.3527569116  -.7427286539   .1498984098   .3548155024
  -.4076001635   .5931608825   .1222964640   .6790093781   .0775378203
  -.4802953099   .3906879012   .1154858899  -.6909341149   .3548977842
  -.3506402948  -.5945859744   .6470049115   .1602533429   .2814647639
 
B
   2.119374527
   1.026117465
    .770116074
    .590769943
    .493621991
 





                                          The SAS System      14:27 Thursday, December 7, 2013  13

                                                A

                                            2.1193745
                                            1.0261175
                                            0.7701161
                                            0.5907699
                                            0.493622


                                                B

                        0.5519753 0.1324885 -0.038018 -0.115783 -0.814198
                        0.4189906 0.3527569 -0.742729 0.1498984 0.3548155
                        0.4076002 -0.593161 0.1222965 0.6790094 0.0775378
                        0.4802953 -0.390688 0.1154859 -0.690934 0.3548978
                        0.3506403  0.594586 0.6470049 0.1602533 0.2814648

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