political_dude (political_dude) wrote in dataheads,

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Statistics Questions

I'm trying to complete a take home test. I have answered everything, but I was the least confident about the following seven questions. I have the explanation why I chose the answer that I did, but like I said, I'm not too confident in my answer. Any help would be greatly appreciated. Although my goal is to answer everything correct... I would like it if someone can provide explanations of each of the below, so that I understand the questions.

1) In testing the hypothesis HO: µ1 = µ2 for independent samples using the one-way ANOVA, when compared to the t-test, the actual level of significance is:
***B)higher than α (I chose this because I thought in ANOVA it is α)
C)not able to be determined
D)lower than α

2) If the underlying assumptions of the ANOVA are violated, the actual Type I error rate will:
A) equal α
***B) be greater than α (I thought Type I errors were = 1-α)
C) be smaller than α
D) be greater or less than α

3) In determining the sample size, which of the following is not used?
A) The α level
B) Power
C) A standardized effect size
****D) The mean of the population (Usually we are deriving the mean after we have a sample size.)

4) One of the assumptions of in a two-way ANOVA is not:
A) there are equal numbers of observations in each cell of the factorial.
****B) the population variances in all cells of the factorial design are not equal. (I figured there was supposed to be homogeneity of variance in all these types of tests.)
C) the samples are random, independent, and from defined populations.
D) the scores on the dependent variable are normally distributed in the population.

5) It is not true that the F ration for a one-way ANOVA:
A) can be less than one.
B) involves at least two kinds of degrees of freedom.
****C) measures SS(Tr)/SSE. (I thought it measured a ratio of (MS something)/(MS error)
D) must be at least zero.

6) The omnibus test is:
****A) testing the null hypothesis with the ANOVA with a constant α level. (I'm unsure why I chose this, it just felt right.)
B) an alternative to the ANOVA.
C) used to determine which pairs of means are not equal.
D) None of these.

7) When a statistically significant _________ effect has only two levels, the nature of the relationship is determined in the same fashion for the independent groups t-test.
A) interaction
B) simple
****C) main (I chose this because I don't remember learning about a "simple" effect, and I wouldn't think that an interaction effect would ever be run with a t-test.)
D) a and b
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