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A study of an experimental blood thinner was conducted to determine whether it works better than the simple aspirin tablet in warding off heart attacks and strokes. \({ }^{4}\) The study, reported in the Press Enterprise, involved 19,185 people who had suffered heart attacks, strokes, or pain from clogged arteries. Each person was randomly assigned to take either aspirin or the experimental drug for 1 to 3 years. Assume that each person was equally likely to be assigned one of the two medications. a. Devise a randomization plan to assign the medications to the patients. b. Will there be an equal number of patients in each treatment group? Explain.

Short Answer

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#Short Answer# To devise a randomization plan, we can create an equal number of aspirin and experimental drug treatment labels, form a list of 19,185 treatment labels (half aspirin, half experimental), and use a computer program to randomly shuffle the list. Then, assign each patient a position in the shuffled list and give them the corresponding treatment. There may not be an exactly equal number of patients in each group due to the shuffle process's randomness, but with 19,185 patients, the difference should be negligible and should not significantly impact the study results.

Step by step solution

01

Randomization Plan

To ensure that the outcomes of the study are not biased and reliable, a randomization plan should be employed for assigning medications. Randomization helps eliminate any confounding factors that may arise from non-random assignment of medications. One effective method of randomization is the use of computer-generated random numbers to assign treatments systematically. #create an equal number of aspirin and experimental treatment labels (e.g., "A" for aspirin and "E" for experimental) #create a list containing 19,185 total treatment labels (approximately half "A" and half "E") #use a computer program to randomly shuffle the list of treatment labels #assign each patient a random position in the shuffled list and give them the corresponding treatment (aspirin or experimental) In this plan, we first create an equal number of "A" and "E" labels for aspirin and experimental treatments, respectively. Then, we form a list with 19,185 treatment labels, approximately half "A" and half "E". Using a computer program, we randomly shuffle the list to ensure the random treatment assignment. Finally, each patient will be assigned a random position in the shuffled list and will receive the corresponding treatment (aspirin or experimental).
02

Equal Number of Patients in Treatment Groups

Due to the randomness of the shuffle process, there might not be exactly equal numbers of patients in each treatment group; there could be some slight variation. However, with such a large sample size (19,185), the difference should be negligible and should not significantly impact the study results.1

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Randomization Plan
When scientists conduct a study, like the one comparing an experimental blood thinner to aspirin, utilizing a randomization plan is crucial for ensuring each participant has an equal chance of receiving either treatment. This eliminates selection bias and balances out unknown factors that could influence the outcome, leading to more trustworthy results.

A robust randomization plan may include the following steps: Firstly, assigning unique identifiers such as 'A' for aspirin and 'E' for the experimental drug. Then, creating a list with the same number of 'A' and 'E' labels to equal the total number of participants, in this case, 19,185. Lastly, using a computer program to shuffle the labels randomly ensures that the treatment assignment is purely by chance.

Importance of Computer-Aided Randomization

By leveraging computer algorithms, the process is kept impartial and free from human error or bias. This forms the bedrock upon which the credibility of the trial's outcomes is built.
Experimental Treatment Assignment
Following the randomization plan, the next crucial step is the experimental treatment assignment. In our study, this refers to how patients are allocated to either aspirin or the experimental blood thinner.

The aim is to distribute treatments in such a way that each patient has an equal probability of receiving either option. The process involves using the shuffled list from the randomization plan to assign drugs to the participants without any predetermined pattern.

Ensuring Fair Distribution

This method allows for a fair distribution of patients across treatment groups, which is imperative for comparing the effectiveness of the treatments. It also helps to ensure that the potential impact of confounding variables is minimized since these are likely to be equally distributed across the groups as well.
Study Outcome Validity
The validity of a study's outcome hinges significantly on the way the trial is designed and executed. For the blood thinner study, study outcome validity is a way of confirming that the results are indeed a true reflection of the treatment's effectiveness and not influenced by external factors.

Factors that strengthen outcome validity include reliable randomization, proper execution of treatment assignments, fidelity to the study protocol, and comprehensive data collection. Blinding, where patients and sometimes researchers don't know which treatment is given, can also prevent bias that might affect reporting or assessment of patient outcomes.

Consistency in Study Execution

To maintain this validity, it's crucial that each step of the study is conducted consistently and to high quality standards. This involves monitoring the administration of treatments and ensuring that the follow-up on patient outcomes is thorough and impartial.
Sample Size in Research
The size of the sample in research, like the 19,185 participants in the blood thinner study, is a key element that can affect the reliability of study findings. A larger sample size enhances the representativeness of the sample and improves the study's power to detect differences in outcomes between treatment groups.

Larger samples are better at smoothing out random fluctuations and providing a more accurate estimation of the true effect. Conversely, too small a sample might result in findings that fail to reflect the actual situation or may lead to false negatives, where no effect is detected even though one exists.

Finding the Right Size

Calculating the appropriate sample size involves statistical techniques and considerations of the expected effect size, desired level of power, and the acceptable margin of error. Hence, careful planning of sample size is integral to the design of a credible study.

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Most popular questions from this chapter

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