4) a. What is the SST value for the data? What is the F value for the drug factor? b. What is the F value for the sex factor? What is the F value for the interaction? What is the conclusion you make based on these F values? c.What is the conclusion you make based on these F values? Neither factor significantly influences the mean value, but there is a significant interaction which influences the mean value. Both factors influence the mean value, but there is no significant interaction. The sex significantly influences the mean value and there is a significant interaction, but the drug does not significantly influence the mean value. The sex significantly influences the mean value, but there is no significant interaction nor does the drug significantly influence the mean value. The drug significantly influences the mean value, but there is no significant interaction nor does the sex significantly influence the mean value. The drug significantly influences the mean value and there is a significant interaction, but the sex does not significantly influence the mean value. None of the factors or the interaction significantly influence the mean value. Both factors and the interaction significantly influence the mean value.

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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Related questions

Question

a. What is the SST value for the data?

What is the F value for the drug factor?

b. What is the F value for the sex factor? What is the F value for the interaction? What is the conclusion you make based on these F values?

c.What is the conclusion you make based on these F values?

Neither factor significantly influences the mean value, but there is a significant interaction which influences the mean value.

Both factors influence the mean value, but there is no significant interaction.

The sex significantly influences the mean value and there is a significant interaction, but the drug does not significantly influence the mean value.

The sex significantly influences the mean value, but there is no significant interaction nor does the drug significantly influence the mean value.

The drug significantly influences the mean value, but there is no significant interaction nor does the sex significantly influence the mean value.

The drug significantly influences the mean value and there is a significant interaction, but the sex does not significantly influence the mean value.

None of the factors or the interaction significantly influence the mean value.

Both factors and the interaction significantly influence the mean value.

For this series of questions, you will perform a two-factor ANOVA on a data set.
The experiment involves a total of six sets of blood samples taken from mice in which three different drugs (called "A", "B", and "C")were provided to males and
females. Values for 4 individuals from each of the six groups are as shown.
(hint: the overall mean is 20)
Females
21, 27, 24, 24
29, 26, 24, 25
26, 31, 29, 26
Drug
A
B
C
Males
22, 27, 23, 24
25, 24, 28, 27
20, 21, 23, 24

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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