MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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interpret this 2 way anova in detail

Table Analyzed HVC Neuron Number
Two-way ANOVA
Alpha
Source of Variation.
Interaction 14.34
Age 10.22 0.0062
Gender
64.29
ANOVA table
Ordinary.
0.05
SS
Interaction 625550121
Age 445758769
Gender
Residual
% of total variation
0.0020 **
Yes
Yes
<0.0001 ****
DF
Interaction CI
1
Difference between column means
Mean of Male
Mean of Female
2804867521
486677976
Data summary
Difference between means.
SE of difference
3184
95% CI of difference
41075
14595
Difference between row means.
22557
33113
Mean of 25 d
Mean of 55 d
Difference between means
3184
SE of difference
95% CI of difference.
Mean diff, Al - B1 13975
38986
Mean diff, A2 B2
(A1-B1) (A2-B2)
95% CI of difference
(B1A1) - (B2 - A2)
95% CI of difference.
Number of columns (Gender)
Number of rows (Age)
Number of values. 16
MS
1
1
12
445758769
26481
Yes
-10557
F (DFn, DFd)
625550121
19543 to 33418
2
2
-17494 to -3619
P value P value summary Significant?
2804867521
40556498
-25011
-38887 to 11135
25011
11135 to 38887
F (1,
P value
F (1, 12) - 15.42
10.99
12)
P=0.0062
F (1, 12)- 69.16
P=0.0020
p<0.0001
expand button
Transcribed Image Text:Table Analyzed HVC Neuron Number Two-way ANOVA Alpha Source of Variation. Interaction 14.34 Age 10.22 0.0062 Gender 64.29 ANOVA table Ordinary. 0.05 SS Interaction 625550121 Age 445758769 Gender Residual % of total variation 0.0020 ** Yes Yes <0.0001 **** DF Interaction CI 1 Difference between column means Mean of Male Mean of Female 2804867521 486677976 Data summary Difference between means. SE of difference 3184 95% CI of difference 41075 14595 Difference between row means. 22557 33113 Mean of 25 d Mean of 55 d Difference between means 3184 SE of difference 95% CI of difference. Mean diff, Al - B1 13975 38986 Mean diff, A2 B2 (A1-B1) (A2-B2) 95% CI of difference (B1A1) - (B2 - A2) 95% CI of difference. Number of columns (Gender) Number of rows (Age) Number of values. 16 MS 1 1 12 445758769 26481 Yes -10557 F (DFn, DFd) 625550121 19543 to 33418 2 2 -17494 to -3619 P value P value summary Significant? 2804867521 40556498 -25011 -38887 to 11135 25011 11135 to 38887 F (1, P value F (1, 12) - 15.42 10.99 12) P=0.0062 F (1, 12)- 69.16 P=0.0020 p<0.0001
Compare each cell mean with the other cell mean in that row.
Number of families.
1
Number of comparisons per family
Alpha 0.05
Bonferroni's multiple comparisons test. Mean Diff.
Summary Adjusted P Value
Male Female
25 d
55 d
Test details
2
Male Female
25 d
55 d
13975 2447 to 25503 Yes
38986
27458 to 50514 Yes
Mean 1 Mean 2 Mean Diff.
29544 15569 13975 4503
52606 13620 38986 4503
.
****
95.00% CI of diff.
4
4
0.0183
<0.0001
SE of diff.
4
4
N1
N2
3.103
12.00
8.658 12.00
Below threshold?
t
DF
expand button
Transcribed Image Text:Compare each cell mean with the other cell mean in that row. Number of families. 1 Number of comparisons per family Alpha 0.05 Bonferroni's multiple comparisons test. Mean Diff. Summary Adjusted P Value Male Female 25 d 55 d Test details 2 Male Female 25 d 55 d 13975 2447 to 25503 Yes 38986 27458 to 50514 Yes Mean 1 Mean 2 Mean Diff. 29544 15569 13975 4503 52606 13620 38986 4503 . **** 95.00% CI of diff. 4 4 0.0183 <0.0001 SE of diff. 4 4 N1 N2 3.103 12.00 8.658 12.00 Below threshold? t DF
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