Power & Sample Size PREP

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Questions and Answers

What is a Type I error in the context of mental health research?

  • Incorrectly concluding there is an effect when none exists (correct)
  • Failing to detect an effect that is actually present
  • Not observing any results in a conducted study
  • Observing a significant effect that is due to chance (correct)

Why is proper sample size calculation important in clinical trials?

  • To reduce the time taken to recruit participants
  • To avoid Type II errors in all cases
  • To make the study more appealing to participants
  • To ensure the study's results are statistically significant (correct)

Which of the following factors should be considered when determining sample size?

  • Type of treatment being administered
  • Methods for recruiting participants
  • Duration of the study
  • All of the above (correct)

What can happen if a study has too small a sample size?

<p>Leads to unreliable estimates of treatment effects (D)</p> Signup and view all the answers

How can a well-designed clinical trial impact ethical considerations?

<p>By answering research questions with the least participants (A)</p> Signup and view all the answers

What is the relationship between sample size and the confidence intervals of estimated differences?

<p>Smaller sample sizes produce wider confidence intervals (B)</p> Signup and view all the answers

What is the power of a study, and how is it calculated?

<p>The probability of detecting an effect when it exists; calculated as 1-Beta (C)</p> Signup and view all the answers

What is a potential consequence of having a trial that is too large?

<p>Increased costs and resource waste (D)</p> Signup and view all the answers

Flashcards

Sample Size Calculation

Determining the optimal number of participants needed for a study to reliably detect a treatment effect (if one exists), and estimate the effect precisely.

Type I Error

A false positive result; concluding there's an effect when there isn't one in reality.

Type II Error

A false negative result; failing to detect an effect that truly exists.

Small Study Problems

Small studies are less likely to find real treatment effects, and give imprecise effect estimates that are unreliable and potentially misleading.

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Sample Size (Too Small)

Insufficient participants lead to imprecise results, making it difficult to distinguish real effects from random chance.

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Sample Size (Too Large)

Using too many participants wastes resources and is unnecessary.

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Power (in Research)

The probability of correctly detecting a real effect if one exists.

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Publication Bias

Small studies with statistically significant findings (p<0.05) are more likely to be published than those with non-significant findings.

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Study Notes

Core Principles of Mental Health Research - Sample Size

  • Learning Outcomes:
    • Explain the importance of sample size calculations
    • Define Type I and Type II errors
    • List key factors determining sample size and their impact on study participants
    • Calculate sample sizes for studies with continuous and binary outcomes
    • Adjust sample sizes to account for loss to follow-up
  • Approaches to Sample Size:
    • Statistical/Scientific:
      • Determine the number of patients needed to reliably detect a treatment effect.
      • Accurately estimate the effect size.
    • Economic/Pragmatic:
      • Available patient numbers
      • Time needed to recruit participants
      • Cost of the study
    • Ethical:
      • When a trial can be stopped to prevent patients from receiving inferior treatment.
  • Credibility:
    • Small trials are unreliable due to low statistical power.
  • Small Studies:
    • May not detect clinically significant effects
    • Produce imprecise estimates
    • Less likely to represent the whole population
    • More likely to show a false positive (p<0.05) result and be published, skewing findings
    • Results may be misleading for clinicians
    • Unethical for participants to contribute to a study that does not achieve a robust or meaningful outcome.
  • Sample Size (Too Small):
    • Lack of precision
    • Difficult to distinguish real improvement from random chance.
    • Ethical considerations
  • Sample Size (Too Large):
    • Waste of resources
    • Ethical considerations
    • A well-designed study should use the minimum number of participants to answer its research question.
  • Type I and Type II Errors:
    • Type I error (False Positive): Observing an effect that does not exist in the population.
    • Type II error (False Negative): Not observing an effect that exists in the population.
    • Power: The probability of correctly rejecting a false null hypothesis (1 - Type II error rate).

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