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1 of20 Identify the one-way ANOVA: 3 effects (2 main and 1 interaction) 1 effect with more than 2 levels Question 2 of20 If the

1 of20

Identify the one-way ANOVA:

3 effects (2 main and 1 interaction)
1 effect with more than 2 levels

Question

2 of20

If the sample means for each of k treatment groups were identical (yes, this is very unlikely), what would be the observed value of the ANOVA test statistic?

1.0
0
A value between 0.0 and 1.0
A negative value
Infinite

Question

3 of20

The ANOVA procedure is a statistical approach for determining whether or not.

the means of more than two samples are equal
the proportions of more than two samples are equal
the means of more than two populations are equal
the proportions of more than two populations are equal

Question

4 of20

The ______ sum of squares measures the variability of the observed values around their respective treatment means.

treatment
error
interaction
total

Question

5 of20

The F-ratio is defined as the average within-groups variance divided by the average between-groups variance.

True
False

Question

6 of20

A researcher is studying whether average GPA is dependent on whether the students are in a two-year college, public university, or private university. The researcher should use a one-way ANOVA for this study.

True
False

Question

7 of20

Using your F table, what is the critical value for a set of sample data that has a df between of 3 and a df within of 10?

3.86
3.71
6.61
5.41

Question

8 of20

If a one-way ANOVA produces a p-value of .007 with a level of significance of .05, then there is evidence to conclude that the distributions are not all the same.

True
False

Question

9 of20

If a one-way ANOVA is used and the resulting p-value was .0003 with a level of significance of .05, then there is evidence to conclude that all of the means are different from each other.

True
False

Question

10 of20

Which of the following is an assumption of one-way ANOVA comparing samples from three or more experimental treatments?

All the response variables within the k populations follow normal distributions.
The samples associated with each population are randomly selected and are independent from all other samples.
The response variable within each of the k populations have equal variances.
All of the above.

Question

11 of20

We would like to test if students who are in the social sciences, natural sciences, arts & humanities, and other fields spend the same amount of time studying for this course. What type of test should we use?

t-test for two dependent means
chi-square test for independence
z-test for two proportions
Goodness of Fit Test
F-test (ANOVA)
t-test for two independent means

Question

12 of20

If gender (predictor 1) has 2 levels (male or female) AND exercise (predictor 2) has 3 levels (cardio, strength, control), this can be described as a:

One-way ANOVA
3 x 2 design
2 x 2 design
t-test

Question

13 of20

You obtained a significant test statistic when comparing three treatments in a one-way ANOVA. In words, how would you interpret the alternative hypothesis Ha?

All three treatments have different effects on the mean response.
Exactly two of the three treatments have the same effect on the mean response.
At least two treatments are different from each other in terms of their effect on the mean response.
All of the above.
None of the above.

Question

14 of20

Two-way ANOVA means there are

two IV's
only 2 groups
one IV
three IV;s

Question

15 of20

Assuming no bias, the total variation in a response variable is due to error (unexplained variation) plus differences due to treatments (known variation). If known variation is large compared to unexplained variation, which of the following conclusions is the best?

There is no evidence for a difference in response due to treatments.
There is evidence for a difference in response due to treatments.
There is significant evidence for a difference in response due to treatments
The treatments are not comparable.
The cause of the response is due to something other than treatments.

Question

16 of20

One-way ANOVA can be used to test if several population means are not all the same, but cannot determine which mean is the one that differs.

True
False

Question

17 of20

The greater the value of the F-ratio,

the smaller the total variance.
the larger the total variance.
the less the sample distributions overlap.
the more the sample distributions overlap.

Question

18 of20

One-way ANOVA can always be used to test if several means are the same or not as long as the sample sizes are large enough.

True
False

Question

19 of20

Assuming that the null hypothesis being tested by ANOVA is false, the probability of obtaining a F-ratio that exceeds the value reported in the F table as the 95th percentile is:

less than .05.
equal to .05.
greater than .05.

Question

20 of20

Identify the two-way ANOVA:

3 effects (2 main and 1 interaction)
1 effect with more than 2 levels

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