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Dependent-Samples t-Test
The dependent-samples -test, sometimes called the paired-samples -test, is used to compare two means obtained from the same sample tested at two different times or under two distinct conditions. This statistical comparison is particularly appropriate for analyzing data from pretest-posttest designs or within-subjects experiments. Conceptually, it functions as a special case of the one-sample -test.
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Research Methods in Psychology - 4th American Edition @ KPU
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One-Sample t-Test
Dependent-Samples t-Test
Independent-Samples t-Test
Reporting t-Test Results in APA Style
Analysis of Variance
Distribution of t Scores
What is the primary statistical function of a t-test in psychological research?
Although there are different variations of the t-test to accommodate various research designs, its fundamental purpose is to serve as a null hypothesis test evaluating the statistical relationship between exactly two means.
Match each psychology research scenario with the specific variation of the -test required to evaluate the relationship between the means.
A psychology researcher is using a -test to evaluate the relationship between two means. Arrange the components of the statistical logic in the correct order to reflect how the procedure differentiates an observed effect from chance variation.
To evaluate the statistical relationship between two means, a researcher must judge whether the observed difference is large enough to reject the _____ hypothesis, which serves as the baseline assumption that no true relationship exists in the population.
Null Hypothesis
Alternative Hypothesis
Assumptions
Formula for the One-Sample t-Test
Dependent-Samples t-Test
Null and Alternative Hypotheses for the One-Sample t-Test
Degrees of Freedom (One-Sample t-Test)
Example of a One-Sample t-Test
What is the primary purpose of a one-sample t-test?
Match each component of the one-sample t-test to its correct description.
A cognitive psychologist is investigating whether the average reaction time of 50 video game players differs from the general population mean of 300 milliseconds. Arrange the following steps of a one-sample t-test in the correct logical order for this study.
A clinical psychologist is conducting a one-sample t-test to compare the average anxiety scores of patients in a new treatment program to a known population mean. If the psychologist observes that the standard deviation within the sample is larger than expected, while the difference between the sample mean and the population mean remains the same, the resulting t-statistic will be closer to zero.
A researcher conducts a one-sample -test to compare the mean stress scores of a sample of emergency room nurses () to the known general population average (). Despite obtaining a statistically significant result () due to a large sample size, the researcher evaluates the finding as having low practical importance because the calculated _____ was only , indicating a negligible magnitude of difference.
Based on the definition of a one-sample -test, which statistical values are compared in this procedure?
In a one-sample -test, the alternative hypothesis is formulated as , which states that the true population mean differs from the hypothesized value.
A health psychologist is investigating university students' accuracy in estimating the calories in a chocolate chip cookie (which actually has 250 calories). Match each element of this study to its corresponding role in a one-sample -test.
Analyze the structural relationship between the sample mean (), the hypothetical population mean (), and the competing hypotheses in a one-sample -test. How do these components work together to help researchers evaluate statistical evidence?
Evaluate this research scenario to determine the appropriate statistical test and formulate the precise null and alternative hypotheses. Justify your choice based on the structure of the study.
In the context of a one-sample -test, what specific standard of comparison is the single sample mean evaluated against, and how is the null hypothesis mathematically defined?
Learn After
Repeated Measures Designs
Difference Score
Example of a Dependent-Samples t-Test
When is it most appropriate to use a dependent-samples t-test in a research study?
A cognitive psychologist measures the reaction times of 40 participants while they complete a task in a quiet room, and then measures the reaction times of those exact same 40 participants while they complete the task in a noisy room. The psychologist should use a dependent-samples t-test to analyze the differences in reaction times.
Match the following terms associated with the dependent-samples -test to the description that best captures their conceptual role in psychological research.
A psychologist is conducting a within-subjects study where participants' memory performance is measured both before and after a specific intervention. To perform a dependent-samples -test on this data, the researcher must transform the paired scores into a testable format. Arrange the following steps in the correct logical order of analysis.
The dependent-samples -test is also commonly referred to as the paired-samples -test.
In a within-subjects psychology experiment, a researcher uses a dependent-samples -test to analyze the data. Which of the following best explains the conceptual logic of how this test processes the participants' scores from two different conditions?
A researcher is critiquing a study that measured 30 participants' reaction times before and after a specific cognitive intervention. The researcher argues that the original analysis was flawed because it failed to account for the fact that the two sets of scores are not independent. To correctly evaluate this pretest-posttest data and account for the systematic relationship between the measurements, the researcher should have used a(n) _____-samples -test.
A researcher is planning a study and must select the appropriate statistical test. Match each research scenario to the correct conclusion about whether a dependent-samples t-test is appropriate and why.
The dependent-samples t-test is conceptually a special case of the one-sample t-test because it first computes a _____ for each participant by subtracting one of their scores from the other, and then tests whether the mean of those computed values is significantly different from zero.
A graduate student is reviewing a peer's research report that claims a dependent-samples t-test was the correct statistical analysis for the study. Order the steps the graduate student should follow to evaluate whether that claim is justified.
Define the dependent-samples -test and state its alternative name. Under what two research designs is this statistical test particularly appropriate, and how does it function conceptually in relation to another type of -test?
Explain why a dependent-samples -test is the appropriate choice for analyzing the difference in mean estimation accuracy in this scenario, and describe how this test conceptually functions in relation to a one-sample -test.
A cognitive psychologist is conducting a within-subjects experiment to compare how participants perform on a reading task under two distinct conditions: once with background music playing, and once in silence. Identify the specific statistical test they should use to compare the performance means under these two conditions and apply the conceptual definition to justify this choice.