Biostatistics: 1) A biologist is comparing the top swimming speed of mosquito fi

Question

Biostatistics:

1) A biologist is comparing the top swimming speed of mosquito fishes from four different ponds selected at random. From each pond he samples 10 individuals and measures their top swimming speed in fish tanks in the lab. a) Help the scientist complete the ANOVA table to test for differences in the mean top swimming speed among the four populations b) Is this a Model I or Model Il ANOVA? Source of variation Sum of Squares df Mean Squares Critical value Ponds Error Total 345.7 1097.8

Explanation / Answer

Ans:

a)

n=4*10=40

k=4

degree of freedom for ponds=k-1=4-1=3

degree of freedom for errror=n-k=40-4=36

SSerror=SStotal-SSponds=1097.8-345.7=752.1

MS=SS/df

F=MSponds/MSerror

p-value=FDIST(5.516,3,36)=0.0032

b)Model I Anova(as only one factor is there)

SS df MS F p-value Ponds 345.7 3 115.2333 5.516 0.0032 error 752.1 36 20.89167 Total 1097.8 39

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