An experiment is performed to test the effects of a new drug on attention-deficit/hyperactivity disorder (ADHD). The experimenter identifies 320 people ages 7 to 44 with ADHD to participate in the experiment. The subjects are divided into equal groups according to age. Within each group, subjects are then randomly selected to be in either the treatment group or the control group. What type of experimental design is being used for this experiment?
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
1. Intro to Stats and Collecting Data
Sampling Methods
Problem 1.r.21
Textbook Question
200 students volunteer for an experiment to test the effects of sleep deprivation on memory recall. The students will be placed in one of five different treatment groups, including the control group.
Explain how you could design an experiment so that it uses a randomized block design.
Verified step by step guidance1
Identify the blocking variable: In this case, determine a characteristic that might influence the results of the experiment, such as the students' baseline memory recall ability or their typical sleep patterns. This will be the basis for creating blocks.
Divide the students into blocks: Group the 200 students into blocks based on the chosen characteristic (e.g., high memory recall ability, medium memory recall ability, and low memory recall ability). Ensure that each block is as homogeneous as possible with respect to the blocking variable.
Randomly assign students within each block: Within each block, randomly assign students to one of the five treatment groups, including the control group. This ensures that the randomization accounts for the blocking variable.
Apply the treatments: Administer the specific treatment (e.g., varying levels of sleep deprivation) to each group within each block. The control group will not receive any sleep deprivation treatment.
Measure and compare outcomes: After the treatments, measure the memory recall ability of all students. Analyze the results within each block and across all blocks to determine the effects of sleep deprivation while accounting for the blocking variable.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Randomized Block Design
A randomized block design is an experimental design that involves dividing subjects into blocks based on a specific characteristic, such as age or baseline memory performance. Within each block, participants are randomly assigned to different treatment groups. This method helps control for variability within the blocks, allowing for a clearer assessment of the treatment effects on the outcome variable.
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Control Group
A control group is a baseline group in an experiment that does not receive the treatment or intervention being tested. Instead, it is used for comparison against the treatment groups. This helps researchers determine the effect of the treatment by isolating the impact of the independent variable from other factors that could influence the outcome.
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Random Assignment
Random assignment is the process of assigning participants to different treatment groups in a way that each participant has an equal chance of being placed in any group. This technique minimizes selection bias and helps ensure that the groups are comparable at the start of the experiment, which is crucial for making valid inferences about the treatment effects.
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