Table Analyzed Neuron density Two-way ANOVA Alpha Source of Variation ANOVA table Ordinary 0.05 Interaction 6.677 0.0089 ** Age 24.02 <0.0001*** Yes Gender 61.05 <0.0001 **** Gender Residual SS Interaction 0.02329 1 Age 0.08375 1 DE of total variation. P value P value summary Significant? 0.2129 1 0.02881 12 MS 0.02329 F (1, 12) 0.08375 F (1, 12) - 34.88 Difference between column means Yes Yes F (DFn, DFd) P value. 9.699 P<0.0001 0.2129 F (1, 12) - 88.67 0.002401 P-0.0089 P<0.0001
Table Analyzed Neuron density Two-way ANOVA Alpha Source of Variation ANOVA table Ordinary 0.05 Interaction 6.677 0.0089 ** Age 24.02 <0.0001*** Yes Gender 61.05 <0.0001 **** Gender Residual SS Interaction 0.02329 1 Age 0.08375 1 DE of total variation. P value P value summary Significant? 0.2129 1 0.02881 12 MS 0.02329 F (1, 12) 0.08375 F (1, 12) - 34.88 Difference between column means Yes Yes F (DFn, DFd) P value. 9.699 P<0.0001 0.2129 F (1, 12) - 88.67 0.002401 P-0.0089 P<0.0001
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
interpret this two way anova and multiple comparisons test with the data provided
Transcribed Image Text:Neuron density
0.5-
0.4-
0.3
0.2
0.1
0.0
Neuron density
25 d
ns
55 d
Male
Female
Transcribed Image Text:Table Analyzed Neuron density
Two-way ANOVA Ordinary
Alpha
Source of Variation
of total variation P value P value summary Significant?
Interaction 6.677 0.0089 **
Age 24.02
Gender
ANOVA table
Gender
0.05
Residual
Interaction 0.02329 1
Age 0.08375 1
<0.0001****
SS
61.05 <0.0001 *****
Mean of Male
Interaction CI
DE
0.2129 1
Difference between column means
0.05180
0.2825
Mean of Female
Data summary
0.02881 12
Difference between means.
SE of difference
95% CI of difference.
Difference between row means
Mean of 25 d
Mean of 55 d
Difference between means
SE of difference. 0.02450
95% CI of difference
0.08375 F (1, 12) 34.88
0.2129 F (1, 12)
0.002401
0.02450
0.09480
0.2395
Mean diff, A1-B1 -0.1544
Mean diff, A2-B2 -0.3070
Yes
(A1-B1) (A2-B2)
95% CI of difference
(B1- A1) - (B2-A2)
95% CI of difference.
MS
F (DFn, DFd)
0.02329 F (1, 12)
-0.2307
-0.1447
Yes
-0.2841 to -0.1773
Yes
0.1526
-0.1981 to -0.09132
0.04584 to 0.2594
Number of columns (Gender) 2
Number of rows (Age)
Number of values. 16
-0.1526
-0.2594 to -0.04584)
2
P value
9.699
P<0.0001
88.67
P=0.0089
P<0.0001
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