ANOVA 1 too few degrees of freedom
On May 5, 2011, at 23:30 , Rovinpiper wrote:
Thanks slre, I seem to be making some progress now. Using a colon instead of an asterisk in the code really changes things. I had been getting residual SS and MS of zero. Which is ridiculous. Now I get much more plausible values. Also, When I used an asterisk instead of a colon It wouldn't give results for three way interactions. With colons it will. You are correct about plot being nested within treatment. There are six plots in each of 2 treatments. So, I guess I will have to perform a separate analysis to quantify the effect of treatment.
Beware that as you have highly significant effects of plot and its interaction with day, and plot being nested in treatment, you can't test for treatment or treatment:day effect with a systematic effect of plot and plot:treatment in the model (you are only getting p values because of the sequential computation of the anova table - if you put plot before treatment, you'd get zero df). More likely, you want to make the "plot" terms random, as in ~treatment*day + Error(plot/day)
Thanks again. Analysis of Variance Table Response: Combined.Rs Df Sum Sq Mean Sq F value Pr(>F) Combined.Trt 1 52.80 52.805 96.2601 < 2.2e-16 *** Combined.Plot 10 677.69 67.769 123.5380 < 2.2e-16 *** as.factor(Combined.Day) 16 2817.47 176.092 321.0041 < 2.2e-16 *** Combined.Trt:as.factor(Combined.Day) 16 47.82 2.989 5.4487 4.048e-10 *** Combined.Trt:Combined.Plot:as.factor(Combined.Day)80 455.42 5.693 10.3776 < 2.2e-16 *** Residuals 284 155.79 0.549 --- Signif. codes: 0 ?***? 0.001 ?**? 0.01 ?*? 0.05 ?.? 0.1 ? ? 1 -- View this message in context: http://r.789695.n4.nabble.com/ANOVA-1-too-few-degrees-of-freedom-tp3493349p3499649.html Sent from the R help mailing list archive at Nabble.com.
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