A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli. (a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group? [Hint: in G*Power choose Test Means Many Groups: ANOVA: One-way (one independent variable) and select the procedure Effect size from variance]
A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli. (a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group? [Hint: in G*Power choose Test Means Many Groups: ANOVA: One-way (one independent variable) and select the procedure Effect size from variance]
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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Would someone familiar with g-power help me complete this?
![A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing
different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli.
(a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the
significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group?
[Hint: in G*Power choose Test → Means → Many Groups: ANOVA: One-way (one independent variable) and select the
procedure Effect size from variance]
Effect size =
Total sample Size =
Number in each group =
(b) If the experimenter was able to double the total number samples (and hence also double the size of each group), what power
would the study achieve?
Achieved power =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf43dc33-42e8-4477-89c3-dfa3a0434ade%2Fd6b039c0-9847-4120-9131-ce4a81c91114%2Fe5ly6uj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A microbiologist was considering conducting an experiment to investigate the effect of THREE substrate formulations, representing
different percentages of esterified pectin, on the level of enzyme activity in a strain of E. Coli.
(a) The experimenter believes that the between group variance is 0.4 and the within group variance is 0.6. They are working at the
significance level of a = 0.05 and wish to achieve a power of 0.8. How many samples should there be in each group?
[Hint: in G*Power choose Test → Means → Many Groups: ANOVA: One-way (one independent variable) and select the
procedure Effect size from variance]
Effect size =
Total sample Size =
Number in each group =
(b) If the experimenter was able to double the total number samples (and hence also double the size of each group), what power
would the study achieve?
Achieved power =
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