Factorial ANOVA using SPSS GLM

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I have 3 outcome scales (scale1,scale2,scale3). One categorical IV (A-4 levels) and one categorical Covariate (B-4 levels). I want to basically do an ANCOVA and make comparisons between adjusted A means. Does the following code do that?  

GLM scale1 scale2 scale3 BY A B
  /METHOD=SSTYPE(3)
  /INTERCEPT=INCLUDE
  /EMMEANS=TABLES(A) COMPARE ADJ(BONFERRONI)
  /PRINT=DESCRIPTIVE ETASQ
  /CRITERIA=ALPHA(.05)
  /DESIGN= A B.

(The A*B interaction was not significant.)

Also, I'm looking for a reference to this approach: treating a categorical covariate as a factor in the analysis.  I came across blocking in ANOVA, but no reference was provided. In Bruning & Kintz's Computational Handbook of Statistics this approach is referred to a Treatment X Level design.   

Any suggestions will be greatly appreciated.

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关键词：Factorial factor Using ANOVA Facto addition interest control factors tables

If there is no interaction term in the model, the differences among the various levels of A will be the same at any and all levels of B--with no interaction, the effect of A does not depend on the level of B.

But you might try something like the following to see if you can produce the same EMMEANS as you get when you treat B as a fixed factor.

UNIANOVA scael1, scale2, scale3 BY A WITH bD1 bD2 bD3
  /METHOD=SSTYPE(3)
  /INTERCEPT=INCLUDE
  /EMMEANS=TABLES(A) WITH(bD1=1 bD2=0 bD3=0) COMPARE ADJ(BONFERRONI)
  /EMMEANS=TABLES(A) WITH(bD1=0 bD2=1 bD3=0) COMPARE ADJ(BONFERRONI)
  /EMMEANS=TABLES(A) WITH(bD1=0 bD2=0 bD3=1) COMPARE ADJ(BONFERRONI)
  /EMMEANS=TABLES(A) WITH(bD1=0 bD2=0 bD3=0) COMPARE ADJ(BONFERRONI)
  /PRINT=ETASQ
  /CRITERIA=ALPHA(.05)
  /DESIGN=bD1 bD2 bD3 A.

Take a look at the 2013 edition of Cohen, Cohen, West & Aiken;
starting page 350. You can see some of this on books.google.com:
http://books.google.com/books?id=gkalyqTMXNEC&printsec=frontcover&dq=cohen+%22multiple+regression%22&hl=en&sa=X&ei=sLL3UprPIrSpsATjtoGoDQ&ved=0CD0Q6AEwAA#v=onepage&q=ANCOVA%20assumptions&f=false

-Mike Palij
New York University

Kirk's (2013) 4th edition of Experimental Design is another possibility though  his coverage of ANCOVA (chapter 13) is somewhat different from his earlier editions; see:
http://books.google.com/books?id=CYiqQDHRJVUC&printsec=frontcover&dq=kirk+%22experimental+design%22&hl=en&sa=X&ei=H8L3UvDNEYzMsQTaxYG4Dg&ved=0CDYQ6AEwAA#v=onepage&q=ANCOVA&f=false

I admit that though I have a copy of this edition, I haven't read this chapter.

http://psych.unl.edu/psycrs/971/factorial/fact_reminder.pdf