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 1.3.35
Textbook Question
In Exercises 33–36, identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized block design, or matched pairs design.
West Nile Vaccine Currently, there is no approved vaccine for the prevention of infection by West Nile virus. A clinical trial of a possible vaccine is being planned to include subjects treated with the vaccine while other subjects are given a placebo.

1
Understand the problem: We need to determine the most appropriate experimental design for a clinical trial involving a potential West Nile virus vaccine, where some subjects receive the vaccine and others receive a placebo.
Identify the key components of the experiment: The experiment involves two groups of subjects - one receiving the vaccine and the other receiving a placebo. The goal is to compare the effects of the vaccine against the placebo.
Consider the Completely Randomized Design: This design involves randomly assigning subjects to either the treatment group (vaccine) or the control group (placebo) without any further grouping or blocking. This is suitable when subjects are homogeneous.
Consider the Randomized Block Design: This design involves grouping subjects into blocks based on certain characteristics (e.g., age, gender) and then randomly assigning treatments within each block. This is useful when there are known sources of variability among subjects.
Consider the Matched Pairs Design: This design involves pairing subjects based on similar characteristics and then randomly assigning one subject in each pair to the treatment and the other to the control. This is effective when subjects can be closely matched on key variables.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Completely Randomized Design
A completely randomized design is a type of experimental design where all subjects are randomly assigned to different treatment groups. This method ensures that each subject has an equal chance of receiving any treatment, minimizing bias and allowing for straightforward statistical analysis of the treatment effects.
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Randomized Block Design
A randomized block design involves grouping subjects into blocks based on certain characteristics before randomly assigning treatments within each block. This design is useful when there are known sources of variability among subjects, as it helps to control for these differences and improve the precision of the experiment.
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Matched Pairs Design
In a matched pairs design, subjects are paired based on similar characteristics, and each pair is split between different treatments. This design is particularly effective when comparing two treatments, as it controls for individual variability by ensuring that each treatment is applied to similar subjects, enhancing the reliability of the results.
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