4. -You are called to perform the statistical analysis of the following experime

Question

4. -You are called to perform the statistical analysis of the following experiment a turkeys are randomly allocated to 5 diet treatments: a Control and A, B. C, and D. With 25 birds in each treatment group the mean results observed are (mean weight gain in a two-week periody of 125 male 2.16 2.45 2.91 3.00 and 2.71 pounds, respectively. Your calculations also give a Sum of Squares for Error equals to SSE= 153.4, and a Treatment Sum of Squares SSTrt=118e, then your analysis report says: a) the null hypothesis is Te ava meeurs ave l same b) the statistical model you use for the analysis is c) the estimate of is d) the estimate of the differential effect of diet B (TB) is e) the Mean Square for Treatment is f) the Mean Square for Error is g) the Fo value observed is , and it is / it is not significant. (please circle) h) What would you do next? (please circle your answer) 1) a pairwise comparisons among the diets using Tukey' s method 2) a comparison of the diets versus the control diet using Dunnett's method 3) no other analysis since the ANOVA F-test is not significant 4) I would do both analysis, 1) and 2), since they are very informative

Explanation / Answer

a) Given k = 5, n = 25
H0: There is no significance difference among the means of 5 groups
b) Completly Randomized design
c) Mean mu = (2.16+2.45+2.91+3+2.71)/5=2.646
d) Difference effect of diest of B is 2.45 - 2.646 = -0.196
e) mean square of treatment = SSTrt / k-1 = 11.843 / 4 = 2.96075
f) Mean square of Error = SSE / n-k = 153.4 / 25-5 = 7.67
g) F0 value =Mean square of Error / Mean square of treatment
            = 7.67 / 2.96075 = 2.5905
h) F critical value = 2.866 at 5% and 4,20 df
Here F0 value < F critical value, so we accept H0
Correct answer: (3)

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