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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Hi Florian,<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Thank you very much, your syntax is much simpler.<SPAN style="mso-spacerun: yes"> </SPAN></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"></SPAN>The correlation between my two independent variables (language and prime) is very low (after treatment coding):<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">> cor(L2prim$LangSwe, L2prim$PrimePP) <o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">[1] 0.00292528<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Does this make sense?<SPAN style="mso-spacerun: yes"> </SPAN>Given that there is no correlation, I can perhaps just report the analyses with treatment coding.<SPAN style="mso-spacerun: yes"> </SPAN>But you said that it should be around .33, and somehow it’s much lower.<SPAN style="mso-spacerun: yes"> </SPAN>I guess I still don’t understand what you meant.<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">I have done the model comparisons as you suggest.<SPAN style="mso-spacerun: yes"> </SPAN>When I use the following model:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">primanaleng=lmer(score ~LangEng+LangEng:PrimePP + (1|PID) + (1|ITEM), data=L2prim, family = "binomial")<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">I appear to get both simple effects (simple effect of prime on English LangEng0:PrimePP2, and simple effect on Swedish LangEng1:PrimePP2).<SPAN style="mso-spacerun: yes"> </SPAN>See APPENDIX 1.<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">I then compare this model with:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">primanalengnoint=lmer(score ~LangEng+PrimePP + (1|PID) + (1|ITEM), data=L2prim, family = "binomial")<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">The comparison shows that the models don’t significantly differ (APPENDIX 2).<SPAN style="mso-spacerun: yes"> </SPAN>So I think I should conclude that the model with the simple effects is no better than without.<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">My question is: The model with the simple effects contains BOTH simple effects (effect of prime on English, and effect on Swedish).<SPAN style="mso-spacerun: yes"> </SPAN>But I’d like to know whether ONE of the simple effects is significant/improves the model (e.g., effect of prime on English only).<SPAN style="mso-spacerun: yes"> </SPAN>How do I get this with a model comparison?<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">I have to admit that I don’t quite understand why treatment coding results in an analysis of simple effects.<SPAN style="mso-spacerun: yes"> </SPAN>I am sure you are right, but it’s difficult for me to conceptualise.<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Thanks for all your help.<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Roger<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">APPENDIX 1<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">primanaleng=lmer(score ~LangEng+LangEng:PrimePP + (1|PID) + (1|ITEM), data=L2prim, family = "binomial")<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">summary(primanalengnoint)<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Generalized linear mixed model fit by the <?xml:namespace prefix = st1 ns = "urn:schemas-microsoft-com:office:smarttags" /><st1:place w:st="on">Laplace</st1:place> approximation <o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Formula: score ~ LangEng + LangEng:PrimePP + (1 | PID) + (1 | ITEM) <o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>Data: L2prim <o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>AIC<SPAN style="mso-spacerun: yes"> </SPAN>BIC logLik deviance<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>650.5 677.2 -319.2<SPAN style="mso-spacerun: yes"> </SPAN>638.5<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Random effects:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>Groups Name<SPAN style="mso-spacerun: yes"> </SPAN>Variance Std.Dev.<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>ITEM<SPAN style="mso-spacerun: yes"> </SPAN>(Intercept) 1.9705<SPAN style="mso-spacerun: yes"> </SPAN>1.4038<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>PID<SPAN style="mso-spacerun: yes"> </SPAN>(Intercept) 2.2791<SPAN style="mso-spacerun: yes"> </SPAN>1.5097<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Number of obs: 632, groups: ITEM, 40; PID, 32<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Fixed effects:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>Estimate Std. Error z value Pr(>|z|)<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">(Intercept)<SPAN style="mso-spacerun: yes"> </SPAN>-0.5915<SPAN style="mso-spacerun: yes"> </SPAN>0.4153<SPAN style="mso-spacerun: yes"> </SPAN>-1.424<SPAN style="mso-spacerun: yes"> </SPAN>0.15437<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">LangEng2<SPAN style="mso-spacerun: yes"> </SPAN>-0.1875<SPAN style="mso-spacerun: yes"> </SPAN>0.3022<SPAN style="mso-spacerun: yes"> </SPAN>-0.621<SPAN style="mso-spacerun: yes"> </SPAN>0.53486<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">LangEng0:PrimePP2<SPAN style="mso-spacerun: yes"> </SPAN>-0.9496<SPAN style="mso-spacerun: yes"> </SPAN>0.3095<SPAN style="mso-spacerun: yes"> </SPAN>-3.068<SPAN style="mso-spacerun: yes"> </SPAN>0.00215 **<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">LangEng1:PrimePP2<SPAN style="mso-spacerun: yes"> </SPAN>-0.5252<SPAN style="mso-spacerun: yes"> </SPAN>0.3100<SPAN style="mso-spacerun: yes"> </SPAN>-1.694<SPAN style="mso-spacerun: yes"> </SPAN>0.09026 . <o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">---<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Signif. codes:<SPAN style="mso-spacerun: yes"> </SPAN>0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 <o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">Correlation of Fixed Effects:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>(Intr) LngEn2 LE0:PP<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">LangEng2<SPAN style="mso-spacerun: yes"> </SPAN>-0.363<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">LngEn0:PPP2 -0.354<SPAN style="mso-spacerun: yes"> </SPAN>0.507<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">LngEn1:PPP2 -0.008 -0.477<SPAN style="mso-spacerun: yes"> </SPAN>0.012<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN style="mso-ansi-language: EN-GB"><FONT size=3><FONT face="Times New Roman">APPENDIX 2<o:p></o:p></FONT></FONT></SPAN></P>
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<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT size=3><FONT face="Times New Roman">Data: L2prim<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT size=3><FONT face="Times New Roman">Models:<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT size=3><FONT face="Times New Roman">primanalengnoint: score ~ LangEng + PrimePP + (1 | PID) + (1 | ITEM)<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT size=3><FONT face="Times New Roman">primanaleng: score ~ LangEng + LangEng:PrimePP + (1 | PID) + (1 | ITEM)<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT size=3><FONT face="Times New Roman"><SPAN style="mso-spacerun: yes"> </SPAN>Df<SPAN style="mso-spacerun: yes"> </SPAN>AIC<SPAN style="mso-spacerun: yes"> </SPAN>BIC<SPAN style="mso-spacerun: yes"> </SPAN>logLik<SPAN style="mso-spacerun: yes"> </SPAN>Chisq Chi Df Pr(>Chisq)<o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT size=3><FONT face="Times New Roman">primanalengnoint<SPAN style="mso-spacerun: yes"> </SPAN>5 649.33 671.57 -319.66<SPAN style="mso-spacerun: yes"> </SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN lang=EN-US><FONT face="Times New Roman" size=3>primanaleng<SPAN style="mso-spacerun: yes"> </SPAN>6 650.46 677.15 -319.23 0.8714<SPAN style="mso-spacerun: yes"> </SPAN>1<SPAN style="mso-spacerun: yes"> </SPAN>0.3506</FONT></SPAN></P>
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