[R] ANOVA and LSD TEST - contrasting results

Roberto rmoscetti at unitus.it
Sat Nov 19 12:10:48 CET 2011


Dear all,
concerne to my issue, I obtained different results between ANOVA and LSD
TEST (agricolae package), and I ask me why




>anova <- aov(SS ~ Treatment*Lot)
>summary(anova)

                     Df    Sum Sq   Mean Sq F value Pr(>F)
Treatment           7 0.0000534 7.622e-06   1.107  0.374
Lot            2 0.0000059 2.954e-06   0.429  0.654
Treatment:Lot 14 0.0001038 7.412e-06   1.077  0.401
Residuals            48 0.0003304 6.883e-06    

> LSD.test(anova, "Treatment")

Study:

LSD t Test for SS 

Mean Square Error:  6.883013e-06 

Trattamento,  means and individual ( 95 %) CI

            SS      std.err replication        LCL        UCL
A30 0.02966558 0.0019037856           9 0.02583776 0.03349340
AM  0.02844520 0.0005186885           9 0.02740230 0.02948809
C30 0.02913658 0.0006792219           9 0.02777092 0.03050225
CM  0.02964944 0.0005398926           9 0.02856391 0.03073496
T30 0.02979624 0.0006920447           9 0.02840479 0.03118769
TS  0.02891764 0.0004981543           9 0.02791603 0.02991924
V30 0.03112188 0.0005157621           9 0.03008487 0.03215889
VM  0.03087886 0.0006874520           9 0.02949664 0.03226107

alpha: 0.05 ; Df Error: 48
Critical Value of t: 2.010635 

Least Significant Difference 0.002486659
Means with the same letter are not significantly different.

Groups, Treatments and means
a        A1     0.03112188 
ab       A2      0.03087886 
ab       B1     0.02979624 
ab       C1     0.02966558 
ab       D1      0.02964944 
ab       D2     0.02913658 
ab       B2      0.02891764 
 b       C2      0.0284452 

how is it possible? my mistake to set anova?

Best regards,
Roberto


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