Podcast
Questions and Answers
Which of the following describes the margin of error (MoE) in statistical estimation?
Which of the following describes the margin of error (MoE) in statistical estimation?
- The range in which the sample size is expected to fall.
- The variability in the population sample.
- The degree of certainty in the sample statistic.
- The range within which the population parameter is expected to lie. (correct)
A smaller margin of error generally requires a smaller sample size.
A smaller margin of error generally requires a smaller sample size.
False (B)
What is the relationship between sample size and margin of error?
What is the relationship between sample size and margin of error?
Inverse Relationship
A higher confidence level generally requires a ______ sample size.
A higher confidence level generally requires a ______ sample size.
Match the following concepts with their impact on required sample size:
Match the following concepts with their impact on required sample size:
How does the degree of variability within a population typically affect the required sample size?
How does the degree of variability within a population typically affect the required sample size?
In policy-making, a larger margin of error is generally preferred to save on resources and time.
In policy-making, a larger margin of error is generally preferred to save on resources and time.
What are the common confidence levels typically used in research?
What are the common confidence levels typically used in research?
According to statistical considerations, if a population is more uniform, a ______ sample size might be sufficient.
According to statistical considerations, if a population is more uniform, a ______ sample size might be sufficient.
What does the 'confidence level' represent in statistical terms?
What does the 'confidence level' represent in statistical terms?
Limited resources never impact the chosen margin of error in research studies.
Limited resources never impact the chosen margin of error in research studies.
What should you do to your sample size if you want to decrease your margin of error?
What should you do to your sample size if you want to decrease your margin of error?
If you want more certainty in your confidence level, your sample size needs to ______.
If you want more certainty in your confidence level, your sample size needs to ______.
A researcher aims to conduct a study with a high degree of precision. Which adjustment should they consider?
A researcher aims to conduct a study with a high degree of precision. Which adjustment should they consider?
Higher variability in your sample requires a smaller sample size to capture the differences within the sample.
Higher variability in your sample requires a smaller sample size to capture the differences within the sample.
What are some practical limitations that may influence a researcher's sample size?
What are some practical limitations that may influence a researcher's sample size?
The degree of certainty on whether the population parameter falls within the set margin of error is known as ______.
The degree of certainty on whether the population parameter falls within the set margin of error is known as ______.
Match the following term with its relationship to sample size:
Match the following term with its relationship to sample size:
What action would a researcher take if they need to decrease their margin of error (i.e., want more precision)?
What action would a researcher take if they need to decrease their margin of error (i.e., want more precision)?
Higher Confidence Level = Smaller Sample Size
Higher Confidence Level = Smaller Sample Size
Flashcards
Margin of Error (MoE)
Margin of Error (MoE)
The range where the population parameter is expected to lie, based on the sample statistic.
Desired Confidence Level
Desired Confidence Level
The desired level of assurance that the true population parameter falls within the margin of error.
Sample Size Impact
Sample Size Impact
With a sample size, the larger the sample, the margin of error becomes smaller.
Budget and Resources
Budget and Resources
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Degree of Variability
Degree of Variability
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Confidence Level (CL)
Confidence Level (CL)
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Higher Variability Impact
Higher Variability Impact
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Decreasing Margin of Error
Decreasing Margin of Error
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Increasing Confidence Level
Increasing Confidence Level
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Study Notes
- Statistical considerations when determining samples sizes include margin of error, confidence interval, and degree of variability.
Margin of Error (MoE)
- Margin of error refers to the range/interval where the population parameter is expected to fall, based on the sample statistic.
- A smaller margin of error equates to a larger sample size.
- Estimates are more precise with more data, necessitating a larger sample size.
- The desired precision of results is determined by the researchers when deciding on the size of the margin of error.
MoE Considerations
- Desired confidence level signifies how confident the researchers are that that the true population parameter falls within the MoE
- Larger sample size results in a smaller MoE.
- Higher the variability means the sample is less likely to reflect the population, increasing the uncertainty and MoE.
- Practical limitations are budget, time, and available resources.
- Limited resources may lead researchers to opt for working with a larger margin of error (e.g., ±5% or ±10%).
- Reducing the margin of error usually requires a larger sample, which can be expensive and time-consuming.
- Importance of precision is relevant in policy-making, clinical trials, or financial forecasting.
- Researchers might choose a smaller margin of error (e.g., ±2% or ±3%) to ensure more accurate results.
- Using smaller margins of error requires a larger sample size and more robust methods of data collection.
Confidence Level (CL)
- Confidence level represents the degree of certainty the population parameter falls within a set margin of error.
- Common confidence levels are 90%, 95%, and 99%.
- Higher confidence Levels equates to a larger sample size.
- Critical research where high certainty is needed, like medical studies, may require 99% confidence level, necessitating a larger sample.
Degree of Variability
- Degree of variability refers to how much difference or spread there is in the population under study.
- Higher variability equates to a larger sample size.
- Data with a high degree of variability, such as opinions on a contentious issue, require a larger sample to accurately capture that diversity.
- Lower variability equates to a smaller sample size.
- Uniform populations might be sufficient with a smaller sample size.
Interconnectedness
- Decreasing margin of error requires increasing sample size.
- Increasing confidence level requires increasing sample size.
- Populations with a higher variability require a larger sample to capture the differences.
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