1. You are planning a study that will involve comparing 3 independent groups to one another. You are trying to decide ho

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1 You Are Planning A Study That Will Involve Comparing 3 Independent Groups To One Another You Are Trying To Decide Ho 1 (117.47 KiB) Viewed 24 times

1. You are planning a study that will involve comparing 3 independent groups to one another. You are trying to decide how many participants (i.e., subjects) you should have in total. You have read a previous study in the literature that is similar to yours. That study used ANOVA to compare 3 groups (of equal size) and reported a statistically significant effect, F(2, 87) = 6.50. You may assume that you will have an equal number of participants per group and that you will use ANOVA to analyze your data. Because you have excellent training, you also decide to take both publication bias and uncertainty into consideration when planning sample size. a) Based on this study, how many participants should you have in your study if you want to have a power of .80, and assurances of .50, .80, and .90 (this will require three separate estimates of sample size)? (Hint: use the app pasted in the link immediately below.) Note: the value returned on line 1 of the app is the numbers of participants per group. https://designingexperiments.shinyapps. ... _power_ba/ b) How do you interpret the different levels of assurance? c) Which sample size seems like the best solution to both statistical and practical considerations (assume you don't have unlimited resources). d) Based on your answer in part c, how does the number of participants you should have in your study compare to the number of participants that were used in the previous study you read? e) What level of assurance would you have had if you had used the same number of participants as in the original study? (Hint: adjust the assurance value until you see the desired number on line 1 of the app.)