Week 2 - Effect Sizes and Power Calculations Flashcards
Describe a correct decision (1-alpha), in that H0 is true within the population and we don’t reject H0
Finding no effect when there really was no effect in the world.
Describe a Type II error (beta), in that H0 is false within population but we don’t reject H0
Concluding there was no effect when there really was.
Describe a correct decision (1-beta) where H0 is false and we reject H0
Finding an effect when there really was one.
Describe a Type I error (alpha) where H0 is true and we reject H0
Concluding there was an effect when there really wasn’t one.
Pregnancy example of Type 1 error
Saying “You’re pregnant!” to a man
Pregnancy example of Type 2 error
Saying “You’re not pregnant” to a pregnant woman
Equation for power
1 - beta (i.e., type 2 error).
Sample size definition
Number of participants required for a study
Power definition
Ability for a study to find a true effect, if one is present within the population.
Alpha definition
probability of getting the observed effect due to chance (probability that we are willing to accept of making a type 1 error).
Effect size definition
strength or magnitude of the effect between variables (relative to observation noise).
4 types of design planning components
- Sample size
- Power
- Effect size
- Alpha
Name for sample size calculation
a priori power calculation
Name for power calculation
post hoc power calculation
Name for alpha calculation
criterion analysis
Name for effect size calculation
sensitivity analysis
Difference between a one and two-tailed test (3 points)
- Two tailed tests assess multiple scenarios (i.e., effects in different directions), one tailed assesses only one.
- Two-tailed only half as strong because significance level split in half (2.5% each end) compared to one-tailed (5% one end) i.e., one-tailed has more power as assessing only one end.
- Due to two-tailed only being half as strong, requires more participants to reach significance compared to one-tailed.
Is a one-tailed or two-tailed test most common?
Two-tailed
When might you use a one-tailed test
When there is strong evidence to suggest effect is directional.
Why do sample size calculators sometimes ask for summary statistics (means, SD’s etc)?
Because they can provide information on the distributions of the groups, and therefore effect size that needs to be detected. Sample size will be determined based on the distribution/effect size.
How would a sample size change if one group mean moved further away from the other groups mean? Why?
- Sample size decreases
- Moving away from other mean gives bigger effect size, therefore it is easier to detect the effect, so need less participants
How would sample size change if both group means moved closer together? Why?
- Sample size increases
- Smaller effect size; harder to detect the effect, so need more participants.