Obtaining a Systematic Sample A quality-control engineer wants to be sure that bolts coming off an assembly line are within prescribed tolerances. He wants to conduct a systematic sample by selecting every 9th bolt to come off the assembly line. The machine produces 30,000 bolts per day, and the engineer wants a sample of 32 bolts. Which bolts will be sampled?
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
Intro to Stats
Problem 7.1.37a
Textbook Question
Cardiac Arrest Researchers conducted a prospective cohort study in which male patients who had an out-of-hospital cardiac arrest were submitted to therapeutic hypothermia (intravenous infusion of cold saline followed by surface cooling with the goal of maintaining body temperature of 33 degrees Celsius for 24 hours. Note that normal body temperature is 37 degrees Celsius). The survival status, length of stay in the intensive care unit (ICU), and time spent on a ventilator were measured. Each of these variables was compared to a historical cohort of patients who were treated prior to the availability of therapeutic hypothermia. Of the 52 hypothermia patients, 37 survived; of the 74 patients in the control group, 43 survived. The median length of stay among survivors for the hypothermia patients was 14 days versus 21 days for the control group. The time on the ventilator among survivors for the hypothermia group was 219 hours versus 328 hours for the control group.
a. What does it mean to say this is a prospective cohort study?
Verified step by step guidance1
Understand that a prospective cohort study is a type of observational study where participants are followed over time to observe outcomes. In this case, male patients who experienced out-of-hospital cardiac arrest were followed after receiving therapeutic hypothermia treatment.
Recognize that 'prospective' means the researchers identified the cohort (group of patients) and then collected data going forward in time, rather than looking back at existing records.
Note that the study compares outcomes (survival status, length of ICU stay, time on ventilator) between the treated group and a historical control group, but the key point is that the treated group was followed forward from the point of treatment.
Understand that this design allows researchers to observe how the treatment (therapeutic hypothermia) affects outcomes as they occur, which can provide stronger evidence of associations compared to retrospective studies.
Summarize that saying this is a prospective cohort study means the researchers started with a defined group of patients at the time of treatment and tracked their outcomes over time to assess the effect of the intervention.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Prospective Cohort Study
A prospective cohort study follows a group of individuals over time who share a common characteristic or exposure to observe outcomes as they occur. Researchers collect data going forward from the start of the study, allowing for temporal relationships between exposure and outcome to be established. This design helps in assessing the effect of an intervention or risk factor on future events.
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Exposure and Control Groups
In cohort studies, participants are divided into groups based on exposure status, such as receiving a treatment or not. The exposed group (here, patients receiving therapeutic hypothermia) is compared to a control group (historical patients without the treatment) to evaluate differences in outcomes. This comparison helps infer the potential impact of the exposure.
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Outcome Measurement and Follow-up
Outcomes such as survival, length of ICU stay, and ventilator time are measured after the exposure period to assess effects. In prospective studies, these outcomes are tracked forward in time, ensuring accurate temporal sequencing. Proper follow-up is essential to capture relevant data and reduce bias in estimating the exposure's effect.
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