terça-feira, 7 de novembro de 2017

Cana de Açucar - Medidas Repetidas

Data repeti;
Input  varied  $  BaCO  BaIV;
Cards;
CTC20 2.981 12.915
CTC20 4.709 14.097
CTC20 2.594 12.882
CTC4 4.667 22.607
CTC4 3.262 29.174
CTC4 5.262 25.649
RB855156 4.037 19.256
RB855156 4.328 19.953
RB855156 3.107 22.201
RB855453 5.688 20.252
RB855453 4.765 20.64
RB855453 4.921 20.146
RB855453 5.16 20.528
RB855511 5.396 25.735
RB855511 4.306 23.367
RB855511 4.246 22.911
RB965902 3.597 15.165
RB965902 4.565 14.939
RB965902 5.772 15.108
RB965902 4.878 16.281
RB966928 5.233 31.717
RB966928 5.671 29.646
RB966928 4.959 27.208
RB975952 3.747 13.579
RB975952 3.956 13.55
RB975952 4.697 11.104
SP803280 9.249 30.316
SP803280 7.947 36.191
SP803280 5.211 30.946
;
Title “Bario no Colmo”;
PROC anova DATA=repeti;
  CLASS varied;
  MODEL  BaCO   = varied  ;
  means varied / tukey lines;
RUN;

Title “Bario nas Impurezas Vegetais”;
PROC anova DATA=repeti;
  CLASS varied;
  MODEL   BaIV  = varied  ;
  means varied / tukey lines;

RUN;




“Bario no Colmo”

The ANOVA Procedure
Class Level Information
Class
Levels
Values
varied
9
CTC20 CTC4 RB855156 RB855453 RB855511 RB965902 RB966928 RB975952 SP803280

Number of Observations Read
29
Number of Observations Used
29




“Bario no Colmo”

The ANOVA Procedure

Dependent Variable: BaCO
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
8
32.95732597
4.11966575
4.46
0.0031
Error
20
18.45382700
0.92269135


Corrected Total
28
51.41115297




R-Square
Coeff Var
Root MSE
BaCO Mean
0.641054
20.05347
0.960568
4.790034

Source
DF
Anova SS
Mean Square
F Value
Pr > F
varied
8
32.95732597
4.11966575
4.46
0.0031





“Bario no Colmo”

The ANOVA Procedure

“Bario no Colmo”

The ANOVA Procedure

Tukey's Studentized Range (HSD) Test for BaCO

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
20
Error Mean Square
0.922691
Critical Value of Studentized Range
4.89533
Minimum Significant Difference
2.6384
Harmonic Mean of Cell Sizes
3.176471

Note:
Cell sizes are not equal.

Means with the same letter are
not significantly different.
Tukey Grouping
Mean
N
varied

A
7.4690
3
SP803280

A



B
A
5.2877
3
RB966928
B
A



B
A
5.1335
4
RB855453
B




B

4.7030
4
RB965902
B




B

4.6493
3
RB855511
B




B

4.3970
3
CTC4
B




B

4.1333
3
RB975952
B




B

3.8240
3
RB855156
B




B

3.4280
3
CTC20





“Bario nas Impurezas Vegetais”

The ANOVA Procedure
Class Level Information
Class
Levels
Values
varied
9
CTC20 CTC4 RB855156 RB855453 RB855511 RB965902 RB966928 RB975952 SP803280

Number of Observations Read
29
Number of Observations Used
29




“Bario nas Impurezas Vegetais”

The ANOVA Procedure

Dependent Variable: BaIV
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
8
1218.677989
152.334749
44.66
<.0001
Error
20
68.212386
3.410619


Corrected Total
28
1286.890375




R-Square
Coeff Var
Root MSE
BaIV Mean
0.946994
8.665266
1.846786
21.31252

Source
DF
Anova SS
Mean Square
F Value
Pr > F
varied
8
1218.677989
152.334749
44.66
<.0001





“Bario nas Impurezas Vegetais”

The ANOVA Procedure

“Bario nas Impurezas Vegetais”

The ANOVA Procedure

Tukey's Studentized Range (HSD) Test for BaIV

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
20
Error Mean Square
3.410619
Critical Value of Studentized Range
4.89533
Minimum Significant Difference
5.0725
Harmonic Mean of Cell Sizes
3.176471

Note:
Cell sizes are not equal.

Means with the same letter are
not significantly different.
Tukey Grouping
Mean
N
varied

A
32.484
3
SP803280

A



B
A
29.524
3
RB966928
B




B
C
25.810
3
CTC4

C



D
C
24.004
3
RB855511
D




D

20.470
3
RB855156
D




D
E
20.392
4
RB855453

E



F
E
15.373
4
RB965902
F




F

13.298
3
CTC20
F




F

12.744
3
RB975952





Medidas Repetidas (Multivariada - MANOVA)

Title “Bario”;
PROC GLM DATA=repeti;
  CLASS varied;
  MODEL  BaCO  BaIV = varied / NOUNI ;
  REPEATED trial 2;
RUN;


“Bario”

The GLM Procedure
Class Level Information
Class
Levels
Values
varied
9
CTC20 CTC4 RB855156 RB855453 RB855511 RB965902 RB966928 RB975952 SP803280

Number of Observations Read
29
Number of Observations Used
29



“Bario”

The GLM Procedure
Repeated Measures Analysis of Variance
Repeated Measures Level Information
Dependent Variable
BaCO
BaIV
Level of trial
1
2

MANOVA Test Criteria and Exact F Statistics for the Hypothesis of no trial Effect
H = Type III SSCP Matrix for trial
E = Error SSCP Matrix

S=1 M=-0.5 N=9
Statistic
Value
F Value
Num DF
Den DF
Pr > F
Wilks' Lambda
0.01121569
1763.22
1
20
<.0001
Pillai's Trace
0.98878431
1763.22
1
20
<.0001
Hotelling-Lawley Trace
88.16078187
1763.22
1
20
<.0001
Roy's Greatest Root
88.16078187
1763.22
1
20
<.0001

MANOVA Test Criteria and Exact F Statistics for the Hypothesis of no trial*varied Effect
H = Type III SSCP Matrix for trial*varied
E = Error SSCP Matrix

S=1 M=3 N=9
Statistic
Value
F Value
Num DF
Den DF
Pr > F
Wilks' Lambda
0.08734886
26.12
8
20
<.0001
Pillai's Trace
0.91265114
26.12
8
20
<.0001
Hotelling-Lawley Trace
10.44834580
26.12
8
20
<.0001
Roy's Greatest Root
10.44834580
26.12
8
20
<.0001



“Bario”

The GLM Procedure
Repeated Measures Analysis of Variance
Tests of Hypotheses for Between Subjects Effects
Source
DF
Type III SS
Mean Square
F Value
Pr > F
varied
8
774.2959529
96.7869941
47.24
<.0001
Error
20
40.9805737
2.0490287

















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