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In: Psychology

After conducting an experiment, you report a p-value of less than .05 and an effect size...

After conducting an experiment, you report a p-value of less than .05 and an effect size of .82. Explain what this means.

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Expert Solution

The p-value shows, if the results are significant or not. Whereas, the effect size shows the extent to which they are significant or how much effect they have. A data with p-value lower than or equal to the level of significance (0.05, here) is considered to be significant. According to Cohen's criteria, if the effect size value (d) is 0.2 or close to it, then the effect size is small, if the value is 0.5, then the effect size is medium, if the value is 0.8, then the effect size is large.

Hence, in the question it is stated that the p-value is less than .05 which indicates that the results are statistically significant at 0.05 level of significance, with a large effect size of .82
This means that if we were trying to find the impact of a medicine on anxiety (for example) in the experiment, then the results have shown to have an impact of the medicine on anxiety, i.e., the results were statistically significant. Now, we know that the medicine is effective but how much? This is shown by the effect size of .82, which indicates the magnitude at which the medicine was effective, i.e., the medicine had large effect or impact on anxiety.


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