2. The table below contains data on the enzyme activity of mannose-6-phosphate i

Question

2. The table below contains data on the enzyme activity of mannose-6-phosphate isomerase (MPI) for three different genotypes (SS, FS, FF) in the amphipod crustacean Platorchestia platensis. Because the effects of sex are not known, specimens were classified by sex. Conduct a two-way ANOVA on this dataset. Test for effect of genotype, the effect of sex, and whether there is an interaction effect between two factors. Show all calculations and state your conclusions. Replace the letters A-B-C-D-E-F in the table with the last six numbers of your student ID number (already been replaced).

FS Females3.68622003.5862200 3.9862200 4.26 4.02 3.91 3.87 4.11 3.34 2.89 3.22 2.74 3.16 .25 3.51 Males2.8862200 3.6862200 4.9862200 3.41 3.21 3.11 3.99 3.47 3.15 3.69 3.72 3.98 4.18 4.01 4.15

Explanation / Answer

If p-value < 0.05

the variable is significant

here genotype and sex are significant

interaction is not significant as p-value> 0.05

Anova: Two-Factor With Replication SUMMARY SS FS FF Total females Count 5 5 5 15 Sum 15.69622 17.79622 20.04622 53.53866 Average 3.139244 3.559244 4.009244 3.569244 Variance 0.131913358 0.112546158 0.023190658 0.211685764 Male Count 5 5 5 15 Sum 16.60622 17.71622 21.30622 55.62866 Average 3.321244 3.543244 4.261244 3.708577333 Variance 0.175339338 0.058306918 0.171696938 0.288241865 Total Count 10 10 10 Sum 32.30244 35.51244 41.35244 Average 3.230244 3.551244 4.135244 Variance 0.145757865 0.076005811 0.104256709 ANOVA Source of Variation SS df MS F P-value F crit Sample 0.145603333 1 0.145603333 1.298110864 0.265803 4.259677 Columns 4.210406667 2 2.105203333 18.76871398 1.24E-05 3.402826 Interaction 0.096606667 2 0.048303333 0.430643175 0.655016 3.402826 Within 2.691973464 24 0.112165561 Total 7.144590131 29

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