The article \"Nutrient Deprivation lmproves Field Performance of Woody Seedlings

Question

The article "Nutrient Deprivation lmproves Field Performance of Woody Seedlings in a Degraded Semi-arid Shrubland" (R. Trubata, J. Cortina, and A. Vilagrosaa, Ecological Engineering, 2011: 1164-1173) presents a study that investigated the effect of varying the type of fertilizer on the height of certain Mediterranean woody tree species. In one experiment, three samples, each consisting of ten trees, were grown with three different fertilizers. One, the control group, was grown with a standard fertilizer. Another was grown with a fertilizer containing only half the nutrients of the standard fertilizer. The third was grown with the standard fertilizer to which a commercial slowrelease fertilizer had been added. Following are the heights of the trees after one year. These data are consistent with the means and standard deviations reported in the article. Construct an ANOVA table. You may give a range for the P-value. Can you conclude that the heights differ among the types of fertilizer?

Explanation / Answer

here we use one-way anova with

null hypothesis H0: all fertilizer has same mean

alternate hypothesis H1: atleast one fertilizer mean differe from another

since level of significance is not mentioned here let it is 0.05 ( generally it alpha=0.05)

following information has been generated using the given data

(a) ANOVA

(b) here P-value of the model is 0.0034 which is less than alpha=0.05, so we reject H0 and conclude that height differer among the type of fertilizer

Source DF Sum of Squares Mean Square F Value Pr > F Model 2 229.7406667 114.8703333 7.06 0.0034 Error 27 439.3890000 16.2736667 Corrected Total 29 669.1296667

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