The data is presented in parallel format. Before running the ANOVA in Excel, you will need to put it into serial (column) format. You will need to create a categorical variable for the first factor (days) and for the second factor (time of day). This is a critical step.The data presented shows exam scores for students randomly assigned to the sections meeting on these days at these times of the day:ThursdayFriday Morning Afternoon Morning Afternoon 70.878.15978.246.646.476.559.376.37065.678.359.359.778.680.892.780.865.392.390.890.569.177.36977.558.677.877.558.663.372.854.254.472.166.26372.56672.2Conduct a 2-way ANOVA. First, find the group means for each level of the factors. (Report answers accurate to 2 decimal places.)Days: MThursday=MThursday= MFriday=MFriday= Time of day: Mmorning=Mmorning= Mafternoon=Mafternoon= Report the results of the ANOVA for the main & interaction effects. (Report P-values accurate to 4 decimal places and F-ratios accurate to 3 decimal places.)Day: FA=FA= p=p= Time of day: FB=FB= p=p= Interaction: FA×B=FA×B= p=p=

Answered: The data is presented in parallel…

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 data is presented in parallel format. Before running the ANOVA in Excel, you will need to put it into serial (column) format. You will need to create a categorical variable for the first factor (days) and for the second factor (time of day). This is a critical step.

The data presented shows exam scores for students randomly assigned to the sections meeting on these days at these times of the day:

Thursday	Friday
Morning	Afternoon	Morning	Afternoon
70.8 78.1 59 78.2 46.6 46.4 76.5 59.3 76.3 70	65.6 78.3 59.3 59.7 78.6 80.8 92.7 80.8 65.3 92.3	90.8 90.5 69.1 77.3 69 77.5 58.6 77.8 77.5 58.6	63.3 72.8 54.2 54.4 72.1 66.2 63 72.5 66 72.2

Conduct a 2-way ANOVA. First, find the group means for each level of the factors. (Report answers accurate to 2 decimal places.)
Days:
  MThursday=MThursday=
  MFriday=MFriday=
Time of day:
  Mmorning=Mmorning=
  Mafternoon=Mafternoon=

Report the results of the ANOVA for the main & interaction effects. (Report P-values accurate to 4 decimal places and F-ratios accurate to 3 decimal places.)
Day:
  FA=FA=
  p=p=
Time of day:
  FB=FB=
  p=p=
Interaction:
  FA×B=FA×B=
  p=p=

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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