ANOVA

Question 1

Fundamentals of ANOVA

Answer 1

Examining the mean differences between the groups (+ than 2 groups)

ANOVA will show significance when p

Question 2

B and W in all Sum of Squares

Answer 2

Between and Within

Question 3

3 types of variation in ANOVA

Answer 3

Total Sum of Squares
Sum of Squares Between
Sum of Squares Within
F ratio Computation

Question 4

Total Sum of Squares

Answer 4

SSt = SSb + SSw
df = Total number of observations  - 1

Question 5

Sum of Squares Between

Answer 5

Reformulate SSt = SSb + SSw
OR Reformulate MSb = SSb/df

df = Number of groups - 1

MSb = Mean of square Between

Question 6

Sum of Squares Within

Answer 6

Reformulate SSt = SSb + SSw
Or Reformulate MSw = SSw/df

df = Number of observations - Number of groups

MSw = Mean of square within

Question 7

F ratio

Answer 7

F = MSb / MSw

Can be reformulated

Question 8

F ratio determinants

Answer 8

df of Between and Within determine critical F values
df = 2 !!!

Check if
F ratio > F critical Value
Null hypothesis rejected

if F critical value > F ratio, we fail to reject the null hypothesis

Question 9

Null Hypothesis of ANOVA

Answer 9

Null Hypothesis = No difference
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Post hoc test (Duncan)

Question 10

Post hoc test (Duncan)

Answer 10

Allows us to know where the differences are among two groups

however we require a successful one way anova test to make it work