Example #14: (Source: Introduction to Statistics and Data Analysis, 4th Edition)

Question

Example #14: (Source: Introduction to Statistics and Data Analysis, 4th Edition) Fire ants have a negative impact on other ant species. To investigate whether the use of bait traps is effective in reducing the number of fire ants, fire-ant abundance was measured before, during and after the use of bait traps at each of 10 sites ("Red Imported Fire Ant Impacts on Upland Anthropoids in Southern Mississippi," The American Midland Naturalist [2010], 54-64). (A) Fill in the missing entries in the following ANOVA table. Prob> F

Explanation / Answer

Here degree of freedom for time = 3 -1 = 2

Degree of freedom for Sites = 10 - 1 = 9

Error = 30 - 1 - 2 - 9 = 18

(B) here the hypothesises are

Null hypothesis :There is no significant difference in fire ant presence between before, after and during the use of bait strips.

ALternative Hypothesis : There is significant differnece in  fire ant presence between before, after and during the use of bait strips.

(C) Yes, as the time factor is significant here, blocking was effective in reducing experimental error.

ANOVA Source of Variation SS df MS F P-value Time 3199140 2 1599570 641.4916 1.85784E-17 Site 15028.2 9 1669.8 0.6697 0.7257 Error 44883.3 18 2493.517 Total 3259051.5 29

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