[R] Large F-value and small P-value

[Sven Garbade]

Hi all,
I computed a Wilks Lambda Test with manova:

> df.man <- manova(df.mul ~ 1, na.rm=TRUE)

> summary(df.man, intercep=T, test="Wilks")
            Df     Wilks approx F num Df den Df  Pr(>F)  
(Intercept)  1 0.0002824    393.3      9      1 0.03911 *
Residuals    9                                           
---
Signif. codes:  0 `***' 0.001 `**' 0.01 `*' 0.05 `.' 0.1 ` ' 1 

I'm wondering about the very high F value and the comparative low p
value. 
 
Sven

The dataframe:

> df.mul
   Above_3 Above_45 Before_3 Before_45 Behind_3 Behind_45 Below_3 Below_45
am    0.19     0.40     0.09      0.07    -0.95     -0.35   -0.10     0.18
ik   -0.03     0.20     0.25      0.31    -0.12      0.16    0.40     0.35
jb   -0.21     0.29    -0.25     -0.10    -0.48      0.11    0.05     0.20
js    0.45     0.59    -0.07     -0.51    -0.15      0.55    0.14     0.22
ko    0.14     0.66     0.09      0.50     0.29      0.40   -0.03     0.27
mw    0.11     0.15    -0.10      0.00    -0.62      0.07   -0.52    -0.01
og   -0.92    -0.40    -2.43     -1.78    -1.94     -0.60   -1.25    -0.96
sb   -0.05     0.07    -0.12     -0.11    -0.26     -0.20    0.01    -0.16
sm   -1.12    -0.67    -1.30     -0.98    -1.36     -1.00   -0.60    -0.34
sw    0.11     0.31    -1.00      0.31    -0.96     -0.78   -0.61     0.12
   Blank
am  0.28
ik  0.29
jb  0.27
js  0.52
ko  0.63
mw  0.26
og -0.01
sb  0.33
sm  0.04
sw  1.05

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