Research Methods
Question 1
A horticulturist used a CRD to investigate the phosphorus content of tree leaves from 3 different varieties (1, 2, and 3) of apple trees. Random samples of 5 leaves of each variety were analysed for phosphorus content. An ANOVA of the data was performed. The incomplete ANOVA table is given below:
Source of variation DF SS MS F
Variety … (a) 0.276 … (d) … (f)
Error … (b) …(c) … (e)
Total 14 0.374
(i) Copy and complete the ANOVA table (3)
(ii) Are the mean phosphorus levels for the three varieties equal? Use the 0.05 level of significance (5)
(iii) Is there any need to perform pair-wise comparison in this hypothesis testing procedure? Explain your answer (3)
(iv) Identify any 5 methods for performing pairwise comparisons when the null hypothesis is rejected during an ANOVA (5)
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