Researchers were interested in studying the effect of various treatments for insomnia on subjective quality of sleep. Twenty-four participants were randomly assigned to one of three conditions: a group that received a placebo, a group that received a melatonin gummy, and a group that received a prescription strength sleeping pill. Participants received their treatment 30 minutes before going to bed. After waking up, participants rated their sleep quality on a scale of 0 to 10. The results are as follows:PlaceboMelatonin GummyPrescription Sleeping Pill527163222334055132204235Is this a between-subjects or within-subjects design? Explain your reasoning from the problem then use an ANOVA with α = .05 to determine whether there are any significant mean differences among the treatments. If the ANOVA is significant, calculate post-hoc comparisons to determine which groups are different from each other and calculate the η2 for the effect of treatment on subjective quality of sleep. Describe this effect as weak, moderate, or strong. Report the F statistic in APA format.

The following information has been provided: Placebo Melatonin Gummy Prescription 5 2 7 1 6…

Answered: Researchers were interested in studying…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Researchers were interested in studying the effect of various treatments for insomnia on subjective quality of sleep. Twenty-four participants were randomly assigned to one of three conditions: a group that received a placebo, a group that received a melatonin gummy, and a group that received a prescription strength sleeping pill. Participants received their treatment 30 minutes before going to bed. After waking up, participants rated their sleep quality on a scale of 0 to 10. The results are as follows:

Placebo	Melatonin Gummy	Prescription Sleeping Pill
5	2	7
1	6	3
2	2	2
3	3	4
0	5	5
1	3	2
2	0	4
2	3	5

Is this a between-subjects or within-subjects design? Explain your reasoning from the problem then use an ANOVA with α = .05 to determine whether there are any significant mean differences among the treatments. If the ANOVA is significant, calculate post-hoc comparisons to determine which groups are different from each other and calculate the η2 for the effect of treatment on subjective quality of sleep. Describe this effect as weak, moderate, or strong. Report the F statistic in APA format.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution