output of an ANOVA. his represent (One Factor,Two Factor without Suppose that th

Question

output of an ANOVA. his represent (One Factor,Two Factor without Suppose that the below data represents the a What type of ANOVA does (One b. (1) State the null hypothesis for the row factor c. (2) Can the null hypothesis from part(b) be rejected? Why or why not? d. () Find the test statistic for the test regarding the column data. 4) a. (2) What lication Two Factor with replication e. (1) Find the sum of squares for the row data. f. (1) Suppose that the null hypothesis for the column factor is rejected. Can we conclude that the column factor is significant in explaining the variation in y? ANOVA Source of Variation SS df MS 300 250 60 Rows Columns Error Critical F P-value Value 2.16 0.035 2.25 1000 4 1200 20 Total 3700 29 a) 2 fachot withat oplicati than (21

Explanation / Answer

4)a)two factor without replication (as there is no interaction term which will indicate replication)

b) null hypotheis:there is no effect of row factor on response variable

c)

we can reect null hypotheiss as test statsitic 5 is greater than crtiical value 2.25

d)

test statistic for column data =MS(column)/MS(error)=250/60=4.17

e)

sum of square of row data =MS(row)*df(row)=300*5=1500

f)

yes as we reject null hypothesis ; therefore column factor is significant in explaining the variation in y.

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