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Table Analyzed HVC Neuron Number Two-way ANOVA Ordinary Alpha 0.05 Source of Variation of total variation P value P value summary Significant? Interaction 14.34 0.0020 Yes Age 10.22 0.0062 Gender 64.29 ANOVA table SS Interaction 625550121 Yes <0.0001 *** Age 445758769 Gender 2804867521 Residual 486677976 DF Mean of 25 d Mean of 55 d Difference between column means Mean of Male 41075 Mean of Female 14595 Difference between means SE of difference 3184 95% CI of difference Interaction CI Difference between row means 22557 33113 1 Data summary Difference between means SE of difference 3184 95% CI of difference Mean diff, Al - B1 13975 Mean diff, A2-B2 38986 (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 F (1, 2804867521 40556498 19543 to 33418 2 2 -17494 to -3619 -25011 -38887 to -11135 25011 11135 to 38887 P value F (1, 12) 12)- 10.99 F (1, 12) 15.42 P=0.0062 69.16 P-0.0020 P<0.0001

Table Analyzed HVC Neuron Number Two-way ANOVA Ordinary Alpha 0.05 Source of Variation of total variation P value P value summary Significant? Interaction 14.34 0.0020 Yes Age 10.22 0.0062 Gender 64.29 ANOVA table SS Interaction 625550121 Yes <0.0001 *** Age 445758769 Gender 2804867521 Residual 486677976 DF Mean of 25 d Mean of 55 d Difference between column means Mean of Male 41075 Mean of Female 14595 Difference between means SE of difference 3184 95% CI of difference Interaction CI Difference between row means 22557 33113 1 Data summary Difference between means SE of difference 3184 95% CI of difference Mean diff, Al - B1 13975 Mean diff, A2-B2 38986 (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 F (1, 2804867521 40556498 19543 to 33418 2 2 -17494 to -3619 -25011 -38887 to -11135 25011 11135 to 38887 P value F (1, 12) 12)- 10.99 F (1, 12) 15.42 P=0.0062 69.16 P-0.0020 P<0.0001

MATLAB: An Introduction with Applications
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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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
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
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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