The results of a two-factor, independent-measures, equal n experiment are summarized in the following matrix. The numerical value in each cell is the mean score obtained from the sample in that treatment condition.Compute the overall means for the scores in A₁, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the appropriate row or below the appropriate column in the matrix. Compute the overall means for the scores in A,, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of theappropriate row or below the appropriate column in the matrix.A₁A₂Treatment MeanM =1098Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A₁). Use the orange points(square symbol) to plot the means for level 2 of factor A (A₂). (Note: Line segments will automatically connect your points.)7CO5B₁1M = 8M = 431B₂2M = 4M = 8M =+Level 1Interaction?Main effect for factor A?Main effect for factor B?M =M =factor BYesUse the overall means and your graph to decide whether there appears to be a main effect for factor A, a main effect for factor B, and an interaction.NoO+Level 2Ofactor A, level 1factor A, level 2?

Given Information: A two-factor study with the mean score obtained from the samples is given. To…

Answered: Compute the overall means for 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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The results of a two-factor, independent-measures, equal n experiment are summarized in the following matrix. The numerical value in each cell is the mean score obtained from the sample in that treatment condition.

Compute the overall means for the scores in A₁, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the appropriate row or below the appropriate column in the matrix.

Compute the overall means for the scores in A,, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the
appropriate row or below the appropriate column in the matrix.
A₁
A₂
Treatment Mean
M =
10
9
8
Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A₁). Use the orange points
(square symbol) to plot the means for level 2 of factor A (A₂). (Note: Line segments will automatically connect your points.)
7
CO
5
B₁
1
M = 8
M = 4
3
1
B₂
2
M = 4
M = 8
M =
+
Level 1
Interaction?
Main effect for factor A?
Main effect for factor B?
M =
M =
factor B
Yes
Use the overall means and your graph to decide whether there appears to be a main effect for factor A, a main effect for factor B, and an interaction.
No
O
+
Level 2
O
factor A, level 1
factor A, level 2
?

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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