# Repeated-Measures Research Design – Statistic Final

### Repeated-Measures Research Design, Research Report, Research Study, Data – Statistic

The key terms in these Statistic chapters include Research Report, Data, Research Study, Repeated-Measures Research Design, Sample, T Statistic, Hypothesis, Repeated-Measures Study, Treatments, Null Hypothesis, Two Tailed Test, Reject the Null Hypothesis, Correlation, Sample Mean – Stats

A research report describing the results from a repeated-measures study states that the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. Based on this report, how many individuals participated in the research study?

#### 11

For which of the following situations would a repeated-measures research design be appropriate?

Comparing pain tolerance with and without acupuncture needles

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using α = .05.

Reject the null hypothesis with a one-tailed test but fail to reject with two tails

If the null hypothesis is true, what value is expected on average for the repeated-measures t statistic?

#### 0

Which of the following values represents a perfect correlation?

#### -1,1

In general, if the variance of the difference scores increases, what will happen to the value of the t statistic?

It will decrease (move toward 0 at the center of the distribution).

A repeated-measures study comparing two treatments with n = 4 participants produces MD = 2 and SS = 75 for the difference scores. What is the estimated standard error for the sample mean difference?

2.5

A repeated-measures study using a sample of n= 20 participants would produce a t statistic with df = ____.

19

A set of n = 25 pairs of X and Y values has a Pearson correlation of r = 0.24. If each of the X values were multiplied by -3, and each Y value is increased by 2, then what is the correlation for the resulting data?

-24

A research report describing the results from a repeated-measures study states that the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. Based on this report, how many individuals participated in the research study?

#### 11

For which of the following situations would a repeated-measures research design be appropriate?

Comparing pain tolerance with and without acupuncture needles

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using α = .05.

Reject the null hypothesis with a one-tailed test but fail to reject with two tails

For which of the following situations would a repeated-measures research design be appropriate?

Comparing pain tolerance with and without acupuncture needles

In general, what characteristics of the difference scores are most likely to produce a significant t statistic for the repeated-measures hypothesis test?

A large number of scores and a small variance

Compared to an independent-measures design, a repeated-measured study is more likely to find a significant effect because it reduces the contribution of variance due to ______.

individual differences

The population of a bacteria colony is measured at 3:00, 3:15, and 3:30. The corresponding population values are 40, 80, and 160. Explain why this does or does not have a linear correlation.

This does not have a linear form because the population does not increase by the same amount every fifteen minutes.

A repeated-measures study and an independent-measures study both produced a t statistic with df = 10. How many individuals participated in each study?

11 for repeated-measures and 12 for independent-measures

A research report describing the results from a repeated-measures study states that the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. Based on this report, how many individuals participated in the research study?

#### 11

For which of the following situations would a repeated-measures research design be appropriate?

Comparing pain tolerance with and without acupuncture needles

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using α = .05.

Reject the null hypothesis with a one-tailed test but fail to reject with two tails

If the null hypothesis is true, what value is expected on average for the repeated-measures t statistic?

#### 0

Which of the following values represents a perfect correlation?

#### -1,1

In general, if the variance of the difference scores increases, what will happen to the value of the t statistic?

It will decrease (move toward 0 at the center of the distribution).

A repeated-measures study comparing two treatments with n = 4 participants produces MD = 2 and SS = 75 for the difference scores. What is the estimated standard error for the sample mean difference?

2.5

A repeated-measures study using a sample of n= 20 participants would produce a t statistic with df = ____.

19

A set of n = 25 pairs of X and Y values has a Pearson correlation of r = 0.24. If each of the X values were multiplied by -3, and each Y value is increased by 2, then what is the correlation for the resulting data?

-24

A research report describing the results from a repeated-measures study states that the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. Based on this report, how many individuals participated in the research study?

#### 11

For which of the following situations would a repeated-measures research design be appropriate?

Comparing pain tolerance with and without acupuncture needles

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using α = .05.

Reject the null hypothesis with a one-tailed test but fail to reject with two tails

For which of the following situations would a repeated-measures research design be appropriate?

Comparing pain tolerance with and without acupuncture needles

In general, what characteristics of the difference scores are most likely to produce a significant t statistic for the repeated-measures hypothesis test?

A large number of scores and a small variance

Compared to an independent-measures design, a repeated-measured study is more likely to find a significant effect because it reduces the contribution of variance due to ______.

individual differences

The population of a bacteria colony is measured at 3:00, 3:15, and 3:30. The corresponding population values are 40, 80, and 160. Explain why this does or does not have a linear correlation.

This does not have a linear form because the population does not increase by the same amount every fifteen minutes.

A repeated-measures study and an independent-measures study both produced a t statistic with df = 10. How many individuals participated in each study?

11 for repeated-measures and 12 for independent-measures

Which of the following values represents a perfect correlation?

#### -1,1

In general, if the variance of the difference scores increases, what will happen to the value of the t statistic?

It will decrease (move toward 0 at the center of the distribution).

A repeated-measures study comparing two treatments with n = 4 participants produces MD = 2 and SS = 75 for the difference scores. What is the estimated standard error for the sample mean difference?

2.5

A repeated-measures study using a sample of n= 20 participants would produce a t statistic with df = ____.

19

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