Question

Participants needed for a Large Correlation (.50) in Power Analysis?

A) 30
B) 28
C) 100
D) 200

Answer 1

Participants needed for a Large Correlation (.50) in Power Analysis is:

C) 100

Step-by-step explanation:

Power analysis is a statistical method used to determine the sample size needed for a study to detect a specified effect size with a given level of confidence. In this case, a large correlation of .50 suggests a strong relationship between variables. To achieve sufficient power, a sample size of 100 participants (Option C) is recommended. This ensures that the study has a high likelihood of detecting the specified correlation, increasing the reliability of the findings.

A correlation of .50 is considered moderate to strong, and detecting such relationships typically requires a larger sample size for statistical power. A smaller sample may lack the ability to identify the correlation accurately, leading to inconclusive results. The choice of 100 participants strikes a balance between the need for an adequately powered study and practical considerations such as feasibility and resources.

Selecting a sample size is crucial in research design, as it directly impacts the study's ability to detect meaningful effects. In this context, opting for 100 participants aligns with the goal of achieving a robust statistical analysis and enhances the study's credibility by ensuring a more accurate representation of the underlying correlation in the population.

Answer 2

The question regarding the number of participants needed for a large correlation in a power analysis cannot be answered without additional details regarding the desired power level or significance level. Power analysis typically requires reference to a statistical table or the use of software to determine the correct sample size.The correct option is D.

Step-by-step explanation:

The question pertains to the determination of the number of participants needed for a large correlation (0.50) in a power analysis. The power analysis is a statistical method used to determine the sample size required for a study.

To ascertain the number of participants needed for a large correlation of 0.50, we would typically refer to a power analysis table or use a statistical power analysis software.

However, the given question does not provide sufficient information like the desired power level (commonly 0.80) or the significance level (commonly 0.05) to derive an exact number of required participants. Also, the question presented does not include enough context to answer it directly. Therefore, a general answer cannot be provided without additional information or clarification.The correct option is D.