Table Analyzed HVC Neuron Density Two-way ANOVA Ordinary Alpha 0.05 Source of Variation Interaction 5.142 0.1339 ns Age 39.30 0.0008 Gender Yes 31.68 ANOVA table SS Interaction 0.007225 Age 0.05523 1 Gender Residual of total variation No 0.0018 Interaction CI DE 0.04452 1 0.03355 12 Difference between column means Mean of Males Mean of Females Difference between means SE of difference 95% CI of difference MS 1 0.05523 F (1, 12) = 19.75 0.04452 F (1, 12) 0.002796 0.1535 0.2590 0.02644 Difference between row means Mean of 25 d Mean of 55 d Difference between means SE of difference 95% CI of difference 0.1475 0.2650 0.02644 ** Mean diff, A1-B1 -0.06300 Mean diff, A2-B2 -0.1480 (A1-B1) (A2-B2) 95% CI of difference (B1A1) (B2A2) 95% CI of difference -0.1055 Yes P value P value summary Significant? -0.1175 F (DFn, DFd) 0.007225 -0.1631 to -0.04790 -0.1751 to -0.05990 0.08500 -0.03021 to 0.2002 -0.08500 -0.2002 to 0.03021 P value. F (1, 12) - 2.584 P=0.0008 15.92 P-0.0018 P-0.1339

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explain in detail this 2 way anova and graph

Table Analyzed HVC Neuron Density.
Two-way ANOVA Ordinary.
Alpha
0.05
No
Source of Variation
of total variation
Interaction 5.142 0.1339 ns
Age 39.30 0.0008
Yes
Gender
31.68
ANOVA table.
SS
Interaction 0.007225
Age 0.05523 1
Gender
Residual
0.0018
DF
Interaction CI
Difference between column means
Mean of Males
Mean of Females.
0.04452 1
0.03355 12
0.1535
0.2590
Difference between means. -0.1055
SE of difference
0.02644
95% CI of difference
Data summary
Difference between row means
Mean of 25 d
Mean of 55 d
Difference between
SE of difference
95% CI of difference
MS
1
0.05523 F (1, 12) = 19.75
0.04452 F (1, 12)
0.002796
0.1475
0.2650
means
0.02644
Mean diff, Al B1
Mean diff, A2 - B2
(A1-B1) (A2-B2)
95% CI of difference
(B1A1) -
Al) (B2 - A2)
95% CI of difference
-0.06300
-0.1480
Number of columns (Gender)
Number of rows (Age)
Number of values 16
Yes
-0.1175
P value P value summary Significant?
F (DFn, DFd)
0.007225
-0.1631 to -0.04790
2
2
-0.1751 to -0.05990
0.08500
-0.03021 to 0.2002
-0.08500
-0.2002 to 0.03021
P value.
F (1, 12) = 2.584
P=0.0008
15.92
P-0.0018
P=0.1339
Transcribed Image Text:Table Analyzed HVC Neuron Density. Two-way ANOVA Ordinary. Alpha 0.05 No Source of Variation of total variation Interaction 5.142 0.1339 ns Age 39.30 0.0008 Yes Gender 31.68 ANOVA table. SS Interaction 0.007225 Age 0.05523 1 Gender Residual 0.0018 DF Interaction CI Difference between column means Mean of Males Mean of Females. 0.04452 1 0.03355 12 0.1535 0.2590 Difference between means. -0.1055 SE of difference 0.02644 95% CI of difference Data summary Difference between row means Mean of 25 d Mean of 55 d Difference between SE of difference 95% CI of difference MS 1 0.05523 F (1, 12) = 19.75 0.04452 F (1, 12) 0.002796 0.1475 0.2650 means 0.02644 Mean diff, Al B1 Mean diff, A2 - B2 (A1-B1) (A2-B2) 95% CI of difference (B1A1) - Al) (B2 - A2) 95% CI of difference -0.06300 -0.1480 Number of columns (Gender) Number of rows (Age) Number of values 16 Yes -0.1175 P value P value summary Significant? F (DFn, DFd) 0.007225 -0.1631 to -0.04790 2 2 -0.1751 to -0.05990 0.08500 -0.03021 to 0.2002 -0.08500 -0.2002 to 0.03021 P value. F (1, 12) = 2.584 P=0.0008 15.92 P-0.0018 P=0.1339
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