Converting syntax to an equation
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Converting syntax to an equation
 
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All, A colleague asked me what should be a simple question and I have no answer for him. He has some basic manova syntax (below) and he would like to know what the equation from such a model would look like. Excluding all of the marginal means, etc., can anyone answer that question for him? Thanks very much. Tony GLM perdelta costfairness BY naattph nattslf spolicy2 aware /CONTRAST (naattph)=Simple /CONTRAST (nattslf)=Simple /CONTRAST (spolicy2)=Simple /METHOD = SSTYPE(3) /INTERCEPT = INCLUDE /PLOT = PROFILE( spolicy2*naattph spolicy2*nattslf) /EMMEANS = TABLES(OVERALL) /EMMEANS = TABLES(naattph) COMPARE ADJ(BONFERRONI) /EMMEANS = TABLES(nattslf) COMPARE ADJ(BONFERRONI) /EMMEANS = TABLES(spolicy2) COMPARE ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*nattslf) COMPARE (naattph) ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*nattslf) COMPARE (nattslf) ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*spolicy2) COMPARE (naattph) ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*spolicy2) COMPARE (spolicy2) ADJ(BONFERRONI) /EMMEANS = TABLES(nattslf*spolicy2) COMPARE (nattslf) ADJ(BONFERRONI) /EMMEANS = TABLES(nattslf*spolicy2) COMPARE (spolicy2) ADJ(BONFERRONI) /PRINT = DESCRIPTIVE ETASQ /CRITERIA = ALPHA(.05) /DESIGN = naattph nattslf spolicy2 aware naattph*nattslf naattph*spolicy2 nattslf*spolicy2. A J Baglioni jr McIntire School of Commerce University of Virginia Rouss & Robertson Halls, East Lawn P.O. Box 400173 Charlottesville, Va 22904-4173 434.924.4961 |
Re: Converting syntax to an equation
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Tony,
Y=XB+U Where each of these are matrices: Y (n x p) B (p x k) U (n x p) n= number of respondents p= number of dependent variables k= the number of columns in the design matrix (including constant vector). For additional info I refer you/him to the algorithms: http://publib.boulder.ibm.com/infocenter/spssstat/v20r0m0/index.jsp?topic=%2Fcom.ibm.spss.statistics.help%2Falg_glm-uni-multi.htm HTH, David ----
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Re: Converting syntax to an equation
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In reply to this post by Baglioni, Tony
If you are asking what the "prediction equation" looks like, it
might be expressed most compactly in matrix terms, as suggested by what David posted. His equation seems to describe the whole problem. But in more familiar terms, it would be written out somewhat like two regression equations, with a terms for the levels of the factors and their interactions on the right; and two Y variables on the left. With two degrees of freedom on the left and more on the right, there will be at least two roots to the canonical correlation problem. -- Rich Ulrich Date: Wed, 5 Oct 2011 16:10:26 -0400 From: [hidden email] Subject: Converting syntax to an equation To: [hidden email] All,
A colleague asked me what should be a simple question and I have no answer for him. He has some basic manova syntax (below) and he would like to know what the equation from such a model would look like. Excluding all of the marginal means, etc., can anyone answer that question for him? Thanks very much.
Tony
GLM perdelta costfairness BY naattph nattslf spolicy2 aware /CONTRAST (naattph)=Simple /CONTRAST (nattslf)=Simple /CONTRAST (spolicy2)=Simple /METHOD = SSTYPE(3) /INTERCEPT = INCLUDE /PLOT = PROFILE( spolicy2*naattph spolicy2*nattslf) /EMMEANS = TABLES(OVERALL) /EMMEANS = TABLES(naattph) COMPARE ADJ(BONFERRONI) /EMMEANS = TABLES(nattslf) COMPARE ADJ(BONFERRONI) /EMMEANS = TABLES(spolicy2) COMPARE ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*nattslf) COMPARE (naattph) ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*nattslf) COMPARE (nattslf) ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*spolicy2) COMPARE (naattph) ADJ(BONFERRONI) /EMMEANS = TABLES(naattph*spolicy2) COMPARE (spolicy2) ADJ(BONFERRONI) /EMMEANS = TABLES(nattslf*spolicy2) COMPARE (nattslf) ADJ(BONFERRONI) /EMMEANS = TABLES(nattslf*spolicy2) COMPARE (spolicy2) ADJ(BONFERRONI) /PRINT = DESCRIPTIVE ETASQ /CRITERIA = ALPHA(.05) /DESIGN = naattph nattslf spolicy2 aware naattph*nattslf naattph*spolicy2 nattslf*spolicy2.
A J Baglioni jr McIntire School of Commerce University of Virginia Rouss & Robertson Halls, East Lawn P.O. Box 400173 Charlottesville, Va 22904-4173 434.924.4961
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