Question

In: Statistics and Probability

1.) First answer = first blank; second answer = second blank. The test statistic for an...

1.) First answer = first blank; second answer = second blank. The test statistic for an ANOVA is a ratio of values and is noted by (F). In independent- measures ANOVAs, ________ comprises the numerator of this ratio, whereas ________ comprises the denominator of this ratio.

A: systematic treatment effects and unsystematic effects; unsystematic effects

B: systematic treatment effects; unsystematic effects

C: unsystematic effects; systematic effects and unsystematic effects

D: unsystematic effects; systematic effects

3.) Please select all that apply. There may be multiple answers. Which of the following applies to Type II Errors for any given hypothesis test?

A: Type II Errors influence the power of hypothesis tests

B: the probability of a Type II Error is known as beta (β)

C: the probability of a Type II Error is known as alpha (α)

D: they occur when a researcher erroneously fails to reject a false null hypothesis (false negative)

E: they occur when a researcher erroneously rejects a true null hypothesis (false positive)

4.) Please select all that apply. There may be multiple answers. Which of the following are assumptions of independent-measures t-tests?

A: all of the observations must be dependent on one another

B: the populations that were sampled from must be normally distributed

C: the populations that were sampled from must have equal variances (homogeneity of variance)

D: the populations that were sampled from must have unequal variances (heterogeneity of variance)

E: all of the observations must be independent of one another F: the scores between treatment conditions must be consistent (homogeneity of covariance)

5.) Type either "test-wise" or "experiment-wise" for each blank below. Please mind your spelling; add the - also)! A researcher runs three separate t-tests in order to evaluate a single hypothesis concerning three doses of an experimental drug. The researcher sets the alpha-level of each t-test at 0.05. In this scenario, 0.05 is the ________ α-level and 0.15 is the ______ α-level.

6.) In which situation will an F-ratio (F-statistic) be the LARGEST value?

A: when systematic sources of variability are high and unsystematic sources of variability are high

B: when systematic sources of variability are low and unsystematic sources of variability are low

C: when systematic sources of variability are low and unsystematic sources of variability are high

D: when systematic sources of variability are high and unsystematic sources of variability are low

7.) Please select all that apply. There may be multiple answers. Which of the following are assumptions of one-way, repeated-measures ANOVAs?

A: the treatment effects must be consistent across subjects (homogeneity of covariance)

B: the population that was sampled from must be normally distributed

C: the variances of the population distributions for each treatment should be equivalent (homogeneity of variance)

D: the variances of the population distributions for each treatment should have unequal variances (heterogeneity of variance)

E: all of the observations must be independent of one another

F: ONLY the observations within each treatment must be independent

Solutions

Expert Solution

1)

1.) First answer = first blank; second answer = second blank. The test statistic for an ANOVA is a ratio of values and is noted by (F). In independent- measures ANOVAs, ________ comprises the numerator of this ratio, whereas ________ comprises the denominator of this ratio.

B: systematic treatment effects; unsystematic effects

..........

3)

A: Type II Errors influence the power of hypothesis tests

B: the probability of a Type II Error is known as beta (β)

D: they occur when a researcher erroneously fails to reject a false null hypothesis (false negative)

4)

B: the populations that were sampled from must be normally distributed

C: the populations that were sampled from must have equal variances (homogeneity of variance)

5)

A researcher runs three separate t-tests in order to evaluate a single hypothesis concerning three doses of an experimental drug. The researcher sets the alpha-level of each t-test at 0.05. In this scenario, 0.05 is the __TEST WISE______ α-level and 0.15 is the __ EXPERIMENTAL WISE____ α-level.

6)

D: when systematic sources of variability are high and unsystematic sources of variability are low

............

7)

B: the population that was sampled from must be normally distributed

C: the variances of the population distributions for each treatment should be equivalent (homogeneity of variance)

E: all of the observations must be independent of one another

.............

Please let me know in case of any doubt.

Thanks in advance!


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