Using the same cancer trial scenario from Question 3, A recruiter went to two locations to enroll people in the study. Patients 1-20 are from Las Cruces, NM, and 21-40 are from El Paso, TX Randomly assign treatments A and B to the 40 patients (no blocking this time). Note the proportion of people from El Paso in each group. Repeat the random assignment a total of 10 times, recording the proportion from El Paso each time. Create a graphical summary or table to represent your data,

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Chapter1: Combinatorial Analysis
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Question 4
Using the same cancer trial scenario from Question 3,
A recruiter went to two locations to enroll people in the study. Patients 1-20 are from Las Cruces, NM, and 21-40 are from El Paso,
TX.
Randomly assign treatments A and B to the 40 patients (no blocking this time). Note the proportion of people from El Paso in each
group.
Repeat the random assignment a total of 10 times, recording the proportion from El Paso each time. Create a graphical summary or
table to represent your data.
How did the samples compare? Was it always 50% for each treatment? How does the random sampling compare to the blocking
from question 3?
Transcribed Image Text:Question 4 Using the same cancer trial scenario from Question 3, A recruiter went to two locations to enroll people in the study. Patients 1-20 are from Las Cruces, NM, and 21-40 are from El Paso, TX. Randomly assign treatments A and B to the 40 patients (no blocking this time). Note the proportion of people from El Paso in each group. Repeat the random assignment a total of 10 times, recording the proportion from El Paso each time. Create a graphical summary or table to represent your data. How did the samples compare? Was it always 50% for each treatment? How does the random sampling compare to the blocking from question 3?
Question 3
We want to generate the sequence of treatments a cancer center would assign for a study with 40 patients, balanced within a block
size of 4. There are two possible treatments, indicated by A and B. There are 6 possible balanced blocks (not in any particular
order). Since there are 40 patients, 10 block sets are needed, To generate these block sets, first assign the numbers 1-6 to each
possible biock sequences.
1. ABBA
2. BAAB
3. BABA
4. ABAB
5. AABB
6. BBAA
Using a random number generator, assign each of the 10 blocks one of the sequences (1-6). Assign each patient (1-40) a treatment
based on the blocks you generated. Include picture or table of the treatment assignments.
• Follow up question, how many blocks would you need to accommodate 300 patients?
Transcribed Image Text:Question 3 We want to generate the sequence of treatments a cancer center would assign for a study with 40 patients, balanced within a block size of 4. There are two possible treatments, indicated by A and B. There are 6 possible balanced blocks (not in any particular order). Since there are 40 patients, 10 block sets are needed, To generate these block sets, first assign the numbers 1-6 to each possible biock sequences. 1. ABBA 2. BAAB 3. BABA 4. ABAB 5. AABB 6. BBAA Using a random number generator, assign each of the 10 blocks one of the sequences (1-6). Assign each patient (1-40) a treatment based on the blocks you generated. Include picture or table of the treatment assignments. • Follow up question, how many blocks would you need to accommodate 300 patients?
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