Answered: 1. Perform a Two-Way ANOVA using the…

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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Question

1. Perform a Two-Way ANOVA using the dataset (Sheet name: Prosthetic). Copy the result of the statistics in a Word file and provide an interpretation of it. The interpretation should contain the Mean, Standard Deviation (SD) or Standard Error (SR), and the p-value.

Description of Data: A physical therapist compare three methods for teaching patients to use certain prosthetic device in which the influence of age could be taken into account.

2. Perform a Two-Way ANOVA using the dataset (Sheet name: Trauma). Copy the result of the statistics in a Word file and provide an interpretation of it. The interpretation should contain the Mean, Standard Deviation (SD) or Standard Error (SR), and the p-value.

Description of Data: The research compares different combinations of four types of psychiatric treatment (A, B, C, and D) and six physical therapy programs (I, II, III, IV, V, and VI).

← X ANOVA_DATA.xlsx
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9
10
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A
Under 20
20 to 29
30 to 39
40 to 49
50 and over
B
Method A
7
8
9
10
11
Estrogen Smoking
Method B
9
9
9
9
12
D
Method C
10
10
12
12
14
Prosthetic Trauma
E
F

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XANOVA_DATA.xlsx
A
I
||
|||
IV
V
VI
B
A
11.0
9.6
10.8
10.5
11.5
12.0
12.0
11.5
11.8
11.5
11.8
10.5
11.0
11.2
10.0
11.2
10.8
11.8
C
B
9.4
9.6
9.6
10.8
10.5
10.5
11.5
11.5
12.3
9.4
9.1
10.8
11.2
11.8
10.2
10.8
11.5
10.2
D
с
12.5
11.5
10.5
10.5
11.8
11.5
11.8
11.8
12.3
13.7
13.5
12.5
14.4
14.2
13.5
11.5
10.2
11.5
Estrogen Smoking Prosthetic Trauma
E
D
13.2
13.2
13.5
15.0
14.6
14.0
12.8
13.7
13.1
14.0
15.0
14.0
13.0
14.2
13.7
11.8
12.8
12.0
F

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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