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# Statistical Power Between Men and Women

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A researcher is exploring differences between men and women on 'number of different recreational drugs used.' The researcher collects data on a sample of 50 men and 50 women between the ages of 18-25. Each participant is asked 'how many different recreational drugs have you tried in your life?' The IV is gender (male/female) and the DV is 'number of reported drugs. What are the power issues and what influences statistical power?

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#### Solution Preview

Statistical power is your chance of finding a statistically significant effect, assuming that there is one. Here, you're looking for a difference in drug use between men and women. Assuming that there is a gender difference, power tells you how likely you are to find that difference in your statistical analyses. Power ranges between 0 and 1 (or 0 and 100%); for example, if power is 0.5, you have a 50% chance of finding a difference that's there. We ideally want power to be high; there's not much point in ...

#### Solution Summary

This solution defines statistical power and explains three main factors affecting power.

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Chapter 6 talks about effect size and statistical power. What are these? How are they relevant to statistics and how do you use them? Since it is talking about effect size do you always want big or do sometimes you want a small or medium? How do you determine this? You can discuss and explain these topics by explaining what are the two factors that determine effect size? For each of these factors, how and why do they effect power?

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