6. Engagement Activity: The t Test for Two Related Samples
In the last chapter, you were introduced to Professor Ken Bonanno's Statistical Methods in Psychology class, where students are asked to complete a research study as a part of the semester-long course. Many of his students' research questions could be asked using the independent-measures t test, but there are other approaches, which will be explored in this chapter.
Click the following topics to see some sample questions asked by Professor Bonanno's students. Select the topic that most interests you and use the research questions to answer the questions that follow.
Compensation and Motivation Work Productivity Caffeine Intake and Academic Performance
Research Questions
1. Do people who drink the caffeine equivalent of at least two cups of coffee (Group A) do worse on tests than those who drink less than one cup (Group B)?
2. Do people do better on tests when they drink the caffeine equivalent of at least two cups of coffee (Condition A) than when they drink less than one cup (Condition B)?
Notice that both studies described are getting at the same research question (Does drinking at least two cups of coffee worsen tests results?). But, the first example studies two different populations (those people who drink the caffeine equivalent of at least two cups of coffee and those people who drink less than one cup), while the second example studies the same people twice, under two different conditions or treatments (first when people drink the caffeine equivalent of at least two cups of coffee, and then when they drink less than one cup).
Decide on a topic you would like to think more about. Once you have selected (and clicked on your topic, click Continue. Then complete the revealed exercises.
What might be some of the advantages and disadvantages of using the repeated-measures t test compared with a research method with two separate groups (the independent-measures t test)?
Identify which of the following are advantages of the repeated-measures t test. (Note: This is an exploratory exercise. You will be given credit regardless of your answer.)
The repeated-measures t test can handle categorical data.
In the repeated-measures t test the participants in one treatment are not substantially different from the participants in another.
The repeated-measures t test can handle more than two conditions.
The repeated-measures t test uses half the number of participants.
In the following exercises, you will learn more about the statistical techniques that allow a researcher to use the sample data from a repeated-measures study to draw inferences about the general population.
Statement 1: Advantage
The repeated measures t test can handle categorical data.
Makes the experiment more efficient, validity of the results higher, and to keep the variability low.
Statement 2: Advantage
In the repeated measures t-test, the participants in one treatment are not substantially different from the participants in another, because the same subjects are used in both and through our study. This makes the researcher to get a reliable statistical conclusion even with small set of subjects.
Statement 3: Not an advantage.
The repeated measures t test can handle more than two conditions. This is a disadvantage compared to other design, where the subjects are exposed to more than one treatment.
Statement 4: Advantage.
The repeated measures t test uses half the number of participants. This method requires minimal subjects. With that we can get significant results for the given sample.
For each example, state whether the one-sample, the two-independent-sample, or the related samples t-test is most appropriate. If it is a related samples t-test, indicate whether the test is a repeated measures design or a matched-pairs design. 1) A researcher matches right-handed and left-handed siblings to test whether right-handed siblings express greater emotional intelligence than left-handed siblings. A. one-sample t-test B. two-independent sample t-test C. related samples t-test using the repeated measures design D. related samples t-test using the matched-pairs...
A psychologist believes that students' test scores will be affected if they have too much caffeine before taking an exam. To examine this, she has a sample of n= 15 students drink five cups of coffee before taking an exam. She uses an exam that has a population mean of μ=72 and a population standard deviation of σ = 3. The mean test score for the sample of 15 students who drank five cups of coffee before taking the exam...
II. For each research scenario, please complete the following tasks: Identify DVs and IVs Specify the type of each IV (between-subject, within-subject factor, or covariate) Choose one ANOVA technique from the following alternatives A. One-Way ANOVA B. Two-Way ANOVA C. Repeated measures D. Mixed design E. ANCOVA F. Trend analysis 5. A researcher wants to examine the influence of caffeine and gender on students’ statistics performance. She randomly assigns the female and male participants into three groups who receive different...
Problem Set 7.1: t Test with Related Samples Criterion: Differentiate between independent samples, repeated measures, and matched samples. Data: Scenario A: A researcher wants to know whether men or women spend more money at the movie concession stand. He asks the concession clerk to identify customers as male or female by marking their gender on each saved receipt. Scenario B: A CPR instructor wants to know if her students are learning anything during her 90-minute training. She decides to quiz...
Section l: Scenarios (20 pts) Read the following scenarios and state the appropriate test to analyze the data from the list of 7 tests below. Two-way ANOVA One-sample t-test Independent-samples t-test Paired-samples t-test One-way ANOVA* Repeated-measures ANOVA Correlation 1.5 Cholesterol (2.0 pts): A study is conducted to examine the impact of a new medicine on the cholesterol level in adults. It is also hypothesized that the new medicine may work differently for women and men. Therefore, you recruit 20 women...
Assignment One: Research Sols San Joaquin Delta C... Gmail questions to test your understanding. Caffeine Research Article.pdf 1. What is the average half-life of caffeine among normal and underweight individuals? (a) 2 hours (b) 3.5 hours (c) 4.5 hours (d) 5 hours 2. True or false: Epidemiological evidence suggests regular caffeine consumers have lower body mass index than non-consumers. (a) True (b) False 3. In this study, a body weight dose of caffeine was administered to participants in which of...
7. Assumptions underlying the repeated-measures t test Suppose a sleep researcher wonders whether playing classical music while getting ready for bed helps people fall asleep faster. She has 20 study participants sleep two nights in the sleep lab. For one of those nights, the researcher has each study participant listen to classical music for 15 minutes before getting into bed. For the other night (the control night), the room is quiet. (The researcher varies which night the study participants listen to...
For the following questions, identify the type of test that should be used. Simply use the corresponding letter: A) One-sample z test (for a mean); B) One-sample t-test; C) One-sample z-test for a proportion (or a chi-squared goodness-of-fit); D) Chi-square goodness of fit (and a z-test is not appropriate); E) Two-sample z-test for a difference between proportions (or a chi-squared test for independence); F) Chi-square test for independence (and a z-test is not appropriate); G) Simple regression; H) Multiple regression;...
Question 2 The primary advantage of the related samples design is that it controls for ________ that may artificially increase the observed differences between means in other types of studies. Group of answer choices degrees of freedom MD individual differences the effect of the treatment Question 3 A manager would like to know if the performance of sales representatives significantly (α = .05) improves over the first 6 months of employment. For 5 new sales representatives, the number of sales...
Problem Set 7.1: t Test with Related Samples • Criterion: Differentiate between independent samples, repeated measures, and matched samples. • Data: o Scenario A: A researcher wants to know whether men or women spend more money at the movie concession stand. He asks the concession clerk to identify customers as male or female by marking their gender on each saved receipt. o Scenario B: A CPR instructor wants to know if her students are learning anything during her 90-minute training....