Programa em SAS para Aplicar ANOVA e Teste de Comparações Múltiplas de Tukey
data imc_dat;
input cat $ imc corr kcal;
cards;
AT 20.2 60.7 3200
AT 21.3 54.8 3100
AT 19.3 49.6 2800
AT 21.1 52.3 3300
SEM 22.4 14.9 2600
SEM 21.9 17.8 2700
SEM 23.8 18.6 3200
SEM 24.1 15.1 3300
SE 27.3 2.5 2700
SE 23.4 4.3 2300
SE 25.2 2.3 2600
SE 26.4 2.6 3200
PR 26.2 4.1 2600
PR 24.2 2.1 2700
PR 25.4 1.9 2650
;
proc print;
run;
proc anova;
class cat;
model imc corr kcal = cat;
means cat / tukey lines;
run;
Resultado do Programa de MANOVA:
Arquivo para Download (mht abrir no Wodr)
Arquivo Word de Resultados
run;
Resultado do Programa de MANOVA:
Arquivo para Download (mht abrir no Wodr)
Arquivo Word de Resultados
Obs
|
cat
|
imc
|
corr
|
kcal
|
1
|
AT
|
20.2
|
60.7
|
3200
|
2
|
AT
|
21.3
|
54.8
|
3100
|
3
|
AT
|
19.3
|
49.6
|
2800
|
4
|
AT
|
21.1
|
52.3
|
3300
|
5
|
SEM
|
22.4
|
14.9
|
2600
|
6
|
SEM
|
21.9
|
17.8
|
2700
|
7
|
SEM
|
23.8
|
18.6
|
3200
|
8
|
SEM
|
24.1
|
15.1
|
3300
|
9
|
SE
|
27.3
|
2.5
|
2700
|
10
|
SE
|
23.4
|
4.3
|
2300
|
11
|
SE
|
25.2
|
2.3
|
2600
|
12
|
SE
|
26.4
|
2.6
|
3200
|
13
|
PR
|
26.2
|
4.1
|
2600
|
14
|
PR
|
24.2
|
2.1
|
2700
|
15
|
PR
|
25.4
|
1.9
|
2650
|
The ANOVA Procedure
Class Level Information
| ||
Class
|
Levels
|
Values
|
cat
|
4
|
AT PR SE SEM
|
Number of Observations Read
|
15
|
Number of Observations Used
|
15
|
The ANOVA Procedure
Dependent Variable: imc
Source
|
DF
|
Sum of Squares
|
Mean Square
|
F Value
|
Pr > F
|
Model
|
3
|
63.99233333
|
21.33077778
|
14.23
|
0.0004
|
Error
|
11
|
16.49166667
|
1.49924242
| ||
Corrected Total
|
14
|
80.48400000
|
R-Square
|
Coeff Var
|
Root MSE
|
imc Mean
|
0.795094
|
5.214802
|
1.224436
|
23.48000
|
Source
|
DF
|
Anova SS
|
Mean Square
|
F Value
|
Pr > F
|
cat
|
3
|
63.99233333
|
21.33077778
|
14.23
|
0.0004
|
Gráfico Chamado: Box and Wisker Plot
The ANOVA Procedure
Dependent Variable: corr
Source
|
DF
|
Sum of Squares
|
Mean Square
|
F Value
|
Pr > F
|
Model
|
3
|
6829.158500
|
2276.386167
|
300.25
|
<.0001
|
Error
|
11
|
83.397500
|
7.581591
| ||
Corrected Total
|
14
|
6912.556000
|
R-Square
|
Coeff Var
|
Root MSE
|
corr Mean
|
0.987935
|
13.60410
|
2.753469
|
20.24000
|
Source
|
DF
|
Anova SS
|
Mean Square
|
F Value
|
Pr > F
|
cat
|
3
|
6829.158500
|
2276.386167
|
300.25
|
<.0001
|
The ANOVA Procedure
Dependent Variable: kcal
Source
|
DF
|
Sum of Squares
|
Mean Square
|
F Value
|
Pr > F
|
Model
|
3
|
497333.333
|
165777.778
|
1.95
|
0.1801
|
Error
|
11
|
935000.000
|
85000.000
| ||
Corrected Total
|
14
|
1432333.333
|
R-Square
|
Coeff Var
|
Root MSE
|
kcal Mean
|
0.347219
|
10.18210
|
291.5476
|
2863.333
|
Source
|
DF
|
Anova SS
|
Mean Square
|
F Value
|
Pr > F
|
cat
|
3
|
497333.3333
|
165777.7778
|
1.95
|
0.1801
|
Sabemos que existem diferenças entre as categorias para Índice de Massa Corporal e para Quilômetros caminhados ou corridos por semana. Para as Quilocalorias não achamos diferenças entre as categorias.
The ANOVA Procedure
The ANOVA Procedure
Tukey's Studentized Range (HSD) Test for imc
Note:
|
This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ.
|
Alpha
|
0.05 = 5%
|
Error Degrees of Freedom
|
11
|
Error Mean Square
|
1.499242
|
Critical Value of Studentized Range
|
4.25603
|
Minimum Significant Difference
|
2.712
|
Harmonic Mean of Cell Sizes
|
3.692308
|
Note:
|
Cell sizes are not equal.
|
Means with the same letter
are not significantly different. | ||||
Tukey Grouping
|
Mean
|
N
|
cat
| |
A
|
25.5750
|
4
|
SE
| |
A
| ||||
A
|
25.2667
|
3
|
PR
| |
A
| ||||
B
|
A
|
23.0500
|
4
|
SEM
|
B
| ||||
B
|
20.4750
|
4
|
AT
| |
The ANOVA Procedure
The ANOVA Procedure
Tukey's Studentized Range (HSD) Test for corr
Note:
|
This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ.
|
Alpha
|
0.05
|
Error Degrees of Freedom
|
11
|
Error Mean Square
|
7.581591
|
Critical Value of Studentized Range
|
4.25603
|
Minimum Significant Difference
|
6.0987
|
Harmonic Mean of Cell Sizes
|
3.692308
|
Note:
|
Cell sizes are not equal.
|
Means with the same letter
are not significantly different. | |||
Tukey Grouping
|
Mean
|
N
|
cat
|
A
|
54.350
|
4
|
AT
|
B
|
16.600
|
4
|
SEM
|
C
|
2.925
|
4
|
SE
|
C
| |||
C
|
2.700
|
3
|
PR
|
The ANOVA Procedure
The ANOVA Procedure
Tukey's Studentized Range (HSD) Test for kcal
Note:
|
This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ.
|
Alpha
|
0.05
|
Error Degrees of Freedom
|
11
|
Error Mean Square
|
85000
|
Critical Value of Studentized Range
|
4.25603
|
Minimum Significant Difference
|
645.75
|
Harmonic Mean of Cell Sizes
|
3.692308
|
Note:
|
Cell sizes are not equal.
|
Means with the same letter
are not significantly different. | |||
Tukey Grouping
|
Mean
|
N
|
cat
|
A
|
3100.0
|
4
|
AT
|
A
| |||
A
|
2950.0
|
4
|
SEM
|
A
| |||
A
|
2700.0
|
4
|
SE
|
A
| |||
A
|
2650.0
|
3
|
PR
|
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