The picture is attached as reference. Here are the questions:Grand Mean = 14.82a) Calculate the numerator for the F statistic (between group variance)b) Calculate the denominator for the F statistic (within group variance)Calculate effect size. Iranian researchers studied factors affecting patients' likelihood of wearing orthodontic appliances, noting thatorthodontics is perhaps the area of health care with the highest need for patient cooperation (Behenam & Pooya,2007). Among their analyses, they compared students in primary school, junior high school, and high school. Thedata that follow have almost exactly the same means as they found in their study, but with far smaller samples.The score for each student is his or her daily hours of wearing the orthodontic appliance.GroupsnkPrimary school: 16, 13, 18Junior high school: 8, 13, 14, 12High school: 20, 15, 16, 18Primary school15.676.33Junior high school11.756.92High school17.254.92State research and null hypotheses in words & symbols:The F-distribution shows values of F you would get if you repeatedly drew 3+ samples from one particular population andcalculated the ratio of between-groups to within-groups variance.dfpetween =dfwithindftotal =Determine the critical value and mark it on thedistribution to the right.Ferit (dfpetween dfwithin) =5%

From the given information, the data is displayed below. Here, n1 =3, n2=4 and n3=4 The total…

Answered: Calculate the numerator for the F…

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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The picture is attached as reference. Here are the questions:

Grand Mean = 14.82

a) Calculate the numerator for the F statistic (between group variance)

b) Calculate the denominator for the F statistic (within group variance)

Calculate effect size.

Iranian researchers studied factors affecting patients' likelihood of wearing orthodontic appliances, noting that
orthodontics is perhaps the area of health care with the highest need for patient cooperation (Behenam & Pooya,
2007). Among their analyses, they compared students in primary school, junior high school, and high school. The
data that follow have almost exactly the same means as they found in their study, but with far smaller samples.
The score for each student is his or her daily hours of wearing the orthodontic appliance.
Groups
nk
Primary school: 16, 13, 18
Junior high school: 8, 13, 14, 12
High school: 20, 15, 16, 18
Primary school
15.67
6.33
Junior high school
11.75
6.92
High school
17.25
4.92
State research and null hypotheses in words & symbols:
The F-distribution shows values of F you would get if you repeatedly drew 3+ samples from one particular population and
calculated the ratio of between-groups to within-groups variance.
dfpetween =
dfwithin
dftotal =
Determine the critical value and mark it on the
distribution to the right.
Ferit (dfpetween dfwithin) =
5%

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 + ...

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