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researcher has access to 100 participants for an independent sample design

researcher has access to 100 participants for an independent sample design

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Sample Size and Effect Size Calculations for Experimental Designs** When planning an experiment, understanding the necessary sample size and effect size is crucial for ensuring the validity and power of the study. Below are two example problems that illustrate these calculations: **5b. Determining Sample Size for a 2-Group Design** *Problem:* What size samples do you need for a 2-group design if you expect to have an effect size of .45 and you want your power to be .80? (p < .05). *Solution:* To determine the required sample size for each group in a 2-group design, you would need to use statistical software or power analysis tables that take into account the desired power level (.80), the significance level (p < .05), and the expected effect size (.45). These tools calculate the minimum number of participants required to detect the effect size with the specified power. **5c. Determining Effect Size with a Fixed Sample Size** *Problem:* A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .71. What effect size will her data need to achieve to make that possible? (p < .05). *Solution:* For this scenario, the researcher would use statistical software or power analysis tables to determine the effect size needed for a sample size of 100 participants to achieve a power level of .71, given a significance level of p < .05. The software will estimate the effect size based on these parameters. In both cases, adequate planning and calculation are necessary to design a robust and powerful study. Ensuring that the sample size and effect size are properly determined can enhance the reliability and interpretability of the results.
Transcribed Image Text:**Sample Size and Effect Size Calculations for Experimental Designs** When planning an experiment, understanding the necessary sample size and effect size is crucial for ensuring the validity and power of the study. Below are two example problems that illustrate these calculations: **5b. Determining Sample Size for a 2-Group Design** *Problem:* What size samples do you need for a 2-group design if you expect to have an effect size of .45 and you want your power to be .80? (p < .05). *Solution:* To determine the required sample size for each group in a 2-group design, you would need to use statistical software or power analysis tables that take into account the desired power level (.80), the significance level (p < .05), and the expected effect size (.45). These tools calculate the minimum number of participants required to detect the effect size with the specified power. **5c. Determining Effect Size with a Fixed Sample Size** *Problem:* A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .71. What effect size will her data need to achieve to make that possible? (p < .05). *Solution:* For this scenario, the researcher would use statistical software or power analysis tables to determine the effect size needed for a sample size of 100 participants to achieve a power level of .71, given a significance level of p < .05. The software will estimate the effect size based on these parameters. In both cases, adequate planning and calculation are necessary to design a robust and powerful study. Ensuring that the sample size and effect size are properly determined can enhance the reliability and interpretability of the results.
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