Question

In: Statistics and Probability

True or false: Fobt = SW2 / SB2. In ANOVA, the effect of the IV only...

True or false:

F_obt = S_W² / S_B².
In ANOVA, the effect of the IV only contributes to S_W², not S_B².
If F_obt < 1, you will always fail to reject H₀.
If you reject H₀ for the omnibus ANOVA, you can conclude that the IV had some effect on the DV.
ANOVA is a non-directional statistical test, even though it uses a one-tailed sampling distribution.
Planned comparisons have less statistical power than Tukey’s HSD.
The effect size omega-squared can be any number between minus infinity and plus infinity.
One-way ANOVA cannot be used to test for differences between exactly two independent groups.
Planned comparisons are more likely to make a Type I error than post hoc tests.

Expert Solution

ANSWER::

1) False

Fobt = SB2 / SW2

2) False

,sB2 is sensitive to the real effects of the IV and sW2 is not

3) True

,If Fobt is less than 1, we don't even need to compare it with Fcrit. It is obvious that the independent variable has not had a significant effect

4)False,

If the null hypothesis is rejected, one concludes that the means of all the groups are not equal.

5)True

6)True

7)False,

ω2 can have values between ± 1

8)False,

ANOVA is used to compare the means of more than two independent sample/groups

9) True

,With planned comparisons, we do not correct for the higher probability of Type I error that arises due to multiple comparisons, as is done with the post hoc methods . . . Because planned comparisons do not involve correcting for the higher probability of Type I error, planned comparisons have higher power than post hoc comparisons.

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