Question

Suppose you perform an ANOVA on 18 subjects divided evenly into three groups according to age. Reading speed is measured and averaged for cach of the three groups. The reading speed for the Young Group is 10; for the Middle Group, 12; and for the Older Group, 13. Your F is 9.15. Use obf a=05 a. What are your degrees of freedom? b. What is the appropriate P? crit c. What should you conclude?

Answer 1

A.

Degrees of freedom "between the groups" = 3-1

= 2

Degrees of freedom "within the groups" = 18-3

= 15

B.

For $\alpha$ = 0.05 and

df(numerator) = 2

df(denominator) = 15

F_crit = 3.682

C.

Since F_obt = 9.15 > 3.682 i.e. we can reject the null hypothesis and hence we can say that there is enough evidence to conclude that reading speed is different among three groups.

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