Module 3: Magnitude of Effects Flashcards
Bayesian advocates state that just because the null goes poorly does not mean…
The alternative will go well
Bayes factor
Ratio of the likelihood of the alternative hypothesis relative to the likelihood of the null hypothesis
Value of 1 = equal likelihood of alternative relative to null
Value less than 1 = null more likely
Value greater than 1 = alternative more likely
Imagine two experiments. Experiment 1 yields a p-value of .001 and experiment 2 yields a p-value of .01. The chance explanation is LESS viable in experiment 1than experiment 2 but can we say that experiment 1 has produced a larger more systematic effect than experiment 2?
No. We would need to know the sample sizes of these experiments were identical. Concluding the null is unlikely is not the same asconcludingthe magnitude of effects is large.
Standardized effect size indicescan…
be applied to measures of different metrics and express magnitude of effects in common metric
What is a small, medium, and large effect size associated with Cohen’s d
Small effect size – 0.2, medium effect size – 0.5, large effect size – 0.8
Cohen’s dsand Cohen’sdav
Standardized effect sizeindices
Used when therearetwo means to compare
Pearson’s r coefficient
Standardized effect sizeindices
Canbecalculatedtoexpressthestrengthanddirectionofassociationbetweentwocontinuousvariables(rangesfrom–1to+1)
Wheninterpretingrasaneffectsize,whatisconsideredsmall,medium,andlarge?
Smalleffectsize-.10,mediumeffectsize-.30,largeeffectsize-.50
What is an important consideration when interpreting whether an effect size is significant or not?
Researchers must consider other extraneous factors that may influence the practical significance (I.e., durability, cost/benefit analysis)rather than looking merely at thresholds
Two contexts in which small effects may be considered impressive…
- Minimal manipulations of the independent variable
2. The dependent variable is difficult to influence
Small standard errors produce __________ confidence intervals
Narrow
How do we interpret a traditional 95% confidence interval?
There is a 95% chance that the interval calculated contains the population value
OR
If we ran this study 100 times, 95 of our studies would generate confidence intervals that contain the population value
Consider a confidence interval of-.10 to .7. This confidence interval contains 0 which indicates what?
There is a 95% chance that the interval contains the effect size and one of these values is 0 (meaning no effect at all)
Cohen’s d bias
Due to high sampling error in small samples, cohen’s d overestimates the effect size.
What corrects for Cohen’s d?
Hedges g