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Relationship Between Statistical Power and Relationship Strength
Statistical power is heavily dependent on the expected relationship strength (effect size). Weaker relationships are harder to detect and thus provide lower statistical power for a given sample size. To compensate and achieve adequate power when investigating a weak relationship, researchers must utilize very large sample sizes.
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Research Methods in Psychology - 4th American Edition @ KPU
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Example of Sample Size Requirements for High Statistical Power
Example of Sample Size Requirements for High Statistical Power
Relationship Between Statistical Power and Relationship Strength
Which of the following best defines the statistical power of a research design?
A researcher designs a study with a statistical power of .80. This means there is a 20% probability that the study will fail to detect a real effect that actually exists in the population.
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When researchers expect to investigate a weak relationship (a small effect size), what must they typically do to achieve adequate statistical power?
A researcher who expects to find only a small effect size in a study can compensate for the difficulty of detecting that weak relationship by increasing the sample size, thereby raising the study's statistical power.