Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
1. Intro to Stats and Collecting Data
Intro to Stats
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.

1
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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