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

ID: 96438 • Letter: 2

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

SS

FS

FF

Females

3.6514912

2.89

3.22

2.74

3.16

3.5514912

4.29

3.34

3.25

3.51

4.1514912

4.26

5.20

3.91

4.87

Males

2.8514912

3.41

3.21

3.11

3.99

3.6514912

3.47

3.15

3.69

3.91

4.9514912

3.98

5.18

4.23

4.15

SS

FS

FF

Females

3.6514912

2.89

3.22

2.74

3.16

3.5514912

4.29

3.34

3.25

3.51

4.1514912

4.26

5.20

3.91

4.87

Males

2.8514912

3.41

3.21

3.11

3.99

3.6514912

3.47

3.15

3.69

3.91

4.9514912

3.98

5.18

4.23

4.15

Explanation / Answer

Answer:

Based on the given data:

The Summary table for 2-way Annova results is:

Based on the results of 2-way Annova, the effect of three different genotypes (SS, FS, FF) in the amphipod crustacean Platorchestia platensis on the enzyme activity of mannose-6-phosphate isomerase (MPI) seems significant at an significance value of 0.05 (5%)

The effect of gender (Females vs males) is not significant as the p-value (0.6955) is more than the significance level of 0.05

Moreover the p-value for the interaction between two factors (genotype and sex) also is not signficant based on the significance level of 0.05

SS FS FF Females 3.651491 3.551491 4.151491 2.89 4.29 4.26 3.22 3.34 5.2 2.74 3.25 3.91 3.16 3.51 4.87 Males 2.851491 3.651491 4.951491 3.41 3.47 3.98 3.21 3.15 5.18 3.11 3.69 4.23 3.99 3.91 4.15
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