EXERCÍCIO 5 – ANÁLISE DA VARIÂNCIA DE PLANOS
FACTORIAIS COMPLETAMENTE ALEATORIZADOS
Investigação Científica em Psicologia: Teoria e Prática

SPSS

OUTPUT 7

 

Análise da Variância Unifactorial (Grupos Independentes)

 

 

Comandos

 
GET
 
  FILE='C:\Documents and Settings\user\Desktop\E05_DATA1.sav'.
 
ONEWAY
 
  vd BY a
 
  /STATISTICS DESCRIPTIVES HOMOGENEITY
 
  /MISSING ANALYSIS.
 
 

Output

Oneway

Descriptives
VD

 

 

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

1

10

92,0000

14,1735

4,4821

81,8609

102,1391

72

117

2

10

123,0000

15,6985

4,9643

111,7699

134,2301

98

148

3

10

106,0000

12,4811

3,9469

97,0716

114,9284

92

130

Total

30

107,0000

18,7984

3,4321

99,9806

114,0194

72

148

 

Test of Homogeneity of Variances
VD

Levene Statistic

df1

df2

Sig.

,3255

2

27

,7249

 

ANOVA
VD

 

 

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

4820,0000

2

2410,0000

11,9878

,0002

Within Groups

5428,0000

27

201,0370

 

 

Total

10248,0000

29

 

 

 

 

 

SPSS

OUTPUT 8

Determinação a posteriori do Poder

 

Comandos

 
GET
 
  FILE='C:\Documents and Settings\user\Desktop\E05_DATA1.sav'.
 
UNIANOVA
 
  vd  BY a
 
  /METHOD = SSTYPE(3)
 
  /INTERCEPT = INCLUDE
 
  /PRINT = ETASQ OPOWER
 
  /CRITERIA = ALPHA(.05)
 
  /DESIGN = a.
 
UNIANOVA
 
  vd  BY a
 
  /METHOD = SSTYPE(3)
 
  /INTERCEPT = INCLUDE
 
  /PRINT = ETASQ OPOWER
 
  /CRITERIA = ALPHA(.01)
 
  /DESIGN = a.
 
 

Output

Univariate Analysis of Variance

Between-Subjects Factors

 

N

A

1

10

2

10

3

10

 

Tests of Between-Subjects Effects
Dependent Variable: VD

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Corrected Model

4820,0000(b)

2

2410,0000

11,9878

,0002

,4703

23,9757

,9899

Intercept

343470,0000

1

343470,0000

1708,4912

,0000

,9844

1708,4912

1,0000

A

4820,0000

2

2410,0000

11,9878

,0002

,4703

23,9757

,9899

Error

5428,0000

27

201,0370

 

 

 

 

 

Total

353718,0000

30

 

 

 

 

 

 

Corrected Total

10248,0000

29

 

 

 

 

 

 

a Computed using alpha = ,05

b R Squared = ,470 (Adjusted R Squared = ,431)

 

Univariate Analysis of Variance

Between-Subjects Factors

 

N

A

1

10

2

10

3

10

 

Tests of Between-Subjects Effects
Dependent Variable: VD

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Corrected Model

4820,00000(b)

2

2410,0000

11,9878

,0002

,4703

23,9757

,9430

Intercept

343470,00000

1

343470,0000

1708,4912

,0000

,9844

1708,4912

1,0000

A

4820,00000

2

2410,0000

11,9878

,0002

,4703

23,9757

,9430

Error

5428,00000

27

201,0370

 

 

 

 

 

Total

353718,00000

30

 

 

 

 

 

 

Corrected Total

10248,00000

29

 

 

 

 

 

 

a Computed using alpha = ,01

b R Squared = ,470 (Adjusted R Squared = ,431)

 

 

 

 

SYSTAT 10.2

OUTPUT 9

Cálculo do Número de Sujeitos por Condição Experimental em Função do Nível de Significação, do Poder e da Magnitude dos Efeitos Experimentais

 

Comandos

>POWER

>MODEL ONEWAY / GROUPS=3 WITHIN=12.00830 EFFECT=95 108 103

 

Output

<Bookmark(2)>

>ESTIMATE / ALPHA=0.05 POWER=0.80

 

                             Alpha =       0.0500

                             Power =       0.8000

                             Model =      Oneway

                  Number of groups =            3

                  Within cell S.D. =      12.0083

 

                          Mean(01) =      95.0000

                          Mean(02) =     108.0000

                          Mean(03) =     103.0000

 

                       Effect Size =       0.4459

           Noncentrality parameter =       0.5964 * sample size

 

                            SAMPLE

                             SIZE          POWER

                          (per cell)

                                6         0.3150

                                7         0.3721

                                8         0.4277

                                9         0.4809

                               10         0.5314

                               11         0.5788

                               12         0.6230

                               13         0.6639

                               14         0.7015

                               15         0.7357

                               16         0.7668

                               17         0.7949

                               18         0.8201

                 Total Sample Size = 54 

 

 

 

 

Nota.

 

 

SPSS

OUTPUT 10

Análise da Variância – Comparações Múltiplas

 

Comandos (Estatísticas descritivas, ANOVA e Contrastes)

 
GET
 
  FILE='C:\Documents and Settings\user\Desktop\E05_DATA2.sav'.
 
ONEWAY
 
  vd BY vi
 
  /CONTRAST= 0 1 0 0 -1  /CONTRAST= 1 0 -1 0 0  /CONTRAST= 3 -2 3 -2 -2
 
  /STATISTICS DESCRIPTIVES
 
  /MISSING ANALYSIS.
 
 

Output (Estatísticas descritivas, ANOVA e Contrastes)

Oneway

Descriptives
VD

 

 

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

1

8

4,0000

3,1623

1,1180

1,3563

6,6437

1

9

2

8

10,0000

5,1270

1,8127

5,7138

14,2862

2

19

3

8

11,0000

6,7188

2,3755

5,3829

16,6171

3

21

4

8

24,0000

6,3696

2,2520

18,6749

29,3251

17

36

5

8

29,0000

6,1644

2,1794

23,8464

34,1536

20

40

Total

40

15,6000

10,8812

1,7205

12,1200

19,0800

1

40

 

ANOVA
VD

 

 

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

3497,6000

4

874,4000

27,3250

,0000

Within Groups

1120,0000

35

32,0000

 

 

Total

4617,6000

39

 

 

 

 

Contrast Coefficients

 

 

VI

Contrast

1

2

3

4

5

1

0

1

0

0

-1

2

1

0

-1

0

0

3

3

-2

3

-2

-2

 

Contrast Tests

 

 

Contrast

Value of Contrast

Std. Error

t

df

Sig. (2-tailed)

VD

Assume equal variances

1

-19,0000

2,8284

-6,7175

35

,0000

2

-7,0000

2,8284

-2,4749

35

,0183

3

-81,0000

10,9545

-7,3943

35

,0000

Does not assume equal variances

1

-19,0000

2,8347

-6,7026

13,5501

,0000

2

-7,0000

2,6254

-2,6662

9,9562

,0237

3

-81,0000

10,6988

-7,5709

25,1204

,0000



Comandos (ANOVA, Tukey HSD, Scheffe e Fisher LSD)

 
GET
 
  FILE='C:\Documents and Settings\user\Desktop\E05_DATA2.sav'.
 
ONEWAY
 
  vd BY vi
 
  /MISSING ANALYSIS
 
  /POSTHOC = TUKEY SCHEFFE LSD ALPHA(.05).
 
 

Output (ANOVA, Tukey HSD, Scheffe e Fisher LSD)

 
 

[Quadro da ANOVA omitido]

Post Hoc Tests

Multiple Comparisons
Dependent Variable: VD

 

 

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

 

(I) VI

(J) VI

Lower Bound

Upper Bound

Tukey HSD

1

2

-6,0000

2,8284

,2340

-14,1319

2,1319

3

-7,0000

2,8284

,1198

-15,1319

1,1319

4

-20,0000(*)

2,8284

,0000

-28,1319

-11,8681

5

-25,0000(*)

2,8284

,0000

-33,1319

-16,8681

2

1

6,0000

2,8284

,2340

-2,1319

14,1319

3

-1,0000

2,8284

,9965

-9,1319

7,1319

4

-14,0000(*)

2,8284

,0002

-22,1319

-5,8681

5

-19,0000(*)

2,8284

,0000

-27,1319

-10,8681

3

1

7,0000

2,8284

,1198

-1,1319

15,1319

2

1,0000

2,8284

,9965

-7,1319

9,1319

4

-13,0000(*)

2,8284

,0005

-21,1319

-4,8681

5

-18,0000(*)

2,8284

,0000

-26,1319

-9,8681

4

1

20,0000(*)

2,8284

,0000

11,8681

28,1319

2

14,0000(*)

2,8284

,0002

5,8681

22,1319

3

13,0000(*)

2,8284

,0005

4,8681

21,1319

5

-5,0000

2,8284

,4078

-13,1319

3,1319

5

1

25,0000(*)

2,8284

,0000

16,8681

33,1319

2

19,0000(*)

2,8284

,0000

10,8681

27,1319

3

18,0000(*)

2,8284

,0000

9,8681

26,1319

4

5,0000

2,8284

,4078

-3,1319

13,1319

* The mean difference is significant at the.05 level.

Post Hoc Tests

Multiple Comparisons
Dependent Variable: VD

 

 

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

 

(I) VI

(J) VI

Lower Bound

Upper Bound

Scheffe

1

2

-6,0000

2,8284

,3605

-15,1939

3,1939

3

-7,0000

2,8284

,2145

-16,1939

2,1939

4

-20,0000(*)

2,8284

,0000

-29,1939

-10,8061

5

-25,0000(*)

2,8284

,0000

-34,1939

-15,8061

2

1

6,0000

2,8284

,3605

-3,1939

15,1939

3

-1,0000

2,8284

,9980

-10,1939

8,1939

4

-14,0000(*)

2,8284

,0008

-23,1939

-4,8061

5

-19,0000(*)

2,8284

,0000

-28,1939

-9,8061

3

1

7,0000

2,8284

,2145

-2,1939

16,1939

2

1,0000

2,8284

,9980

-8,1939

10,1939

4

-13,0000(*)

2,8284

,0020

-22,1939

-3,8061

5

-18,0000(*)

2,8284

,0000

-27,1939

-8,8061

4

1

20,0000(*)

2,8284

,0000

10,8061

29,1939

2

14,0000(*)

2,8284

,0008

4,8061

23,1939

3

13,0000(*)

2,8284

,0020

3,8061

22,1939

5

-5,0000

2,8284

,5450

-14,1939

4,1939

5

1

25,0000(*)

2,8284

,0000

15,8061

34,1939

2

19,0000(*)

2,8284

,0000

9,8061

28,1939

3

18,0000(*)

2,8284

,0000

8,8061

27,1939

4

5,0000

2,8284

,5450

-4,1939

14,1939

* The mean difference is significant at the.05 level.

Post Hoc Tests

Multiple Comparisons
Dependent Variable: VD

 

 

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

 

(I) VI

(J) VI

Lower Bound

Upper Bound

LSD

1

2

-6,0000(*)

2,8284

,0411

-11,7420

-,2580

3

-7,0000(*)

2,8284

,0183

-12,7420

-1,2580

4

-20,0000(*)

2,8284

,0000

-25,7420

-14,2580

5

-25,0000(*)

2,8284

,0000

-30,7420

-19,2580

2

1

6,0000(*)

2,8284

,0411

,2580

11,7420

3

-1,0000

2,8284

,7258

-6,7420

4,7420

4

-14,0000(*)

2,8284

,0000

-19,7420

-8,2580

5

-19,0000(*)

2,8284

,0000

-24,7420

-13,2580

3

1

7,0000(*)

2,8284

,0183

1,2580

12,7420

2

1,0000

2,8284

,7258

-4,7420

6,7420

4

-13,0000(*)

2,8284

,0001

-18,7420

-7,2580

5

-18,0000(*)

2,8284

,0000

-23,7420

-12,2580

4

1

20,0000(*)

2,8284

,0000

14,2580

25,7420

2

14,0000(*)

2,8284

,0000

8,2580

19,7420

3

13,0000(*)

2,8284

,0001

7,2580

18,7420

5

-5,0000

2,8284

,0858

-10,7420

,7420

5

1

25,0000(*)

2,8284

,0000

19,2580

30,7420

2

19,0000(*)

2,8284

,0000

13,2580

24,7420

3

18,0000(*)

2,8284

,0000

12,2580

23,7420

4

5,0000

2,8284

,0858

-,7420

10,7420

* The mean difference is significant at the.05 level.

 

Homogeneous Subsets

VD

 

 

N

Subset for alpha =.05

 

VI

1

2

Tukey HSD(a)

1

8

4,0000

 

2

8

10,0000

 

3

8

11,0000

 

4

8

 

24,0000

5

8

 

29,0000

Sig.

 

,1198

,4078

Scheffe(a)

1

8

4,0000

 

2

8

10,0000

 

3

8

11,0000

 

4

8

 

24,0000

5

8

 

29,0000

Sig.

 

,2145

,5450

Means for groups in homogeneous subsets are displayed.

a Uses Harmonic Mean Sample Size = 8,000.



Comandos (Dunnett: Grupo controlo = 3)
[Note a recodificação prévia da VI em VI_RECOD]

 
GET
 
  FILE='C:\Documents and Settings\user\Desktop\E05_DATA2.sav'.
 
RECODE
 
  vi
 
  (1=1)  (2=2)  (3=6)  (4=4)  (5=5)  INTO  VI_RECOD.
 
EXECUTE.
 
ONEWAY
 
  vd BY vi_recod
 
  /MISSING ANALYSIS
 
  /POSTHOC = DUNNETT ALPHA(.05).
 
 

Output  (Dunnett: Grupo controlo = 3)

 
 

[Quadro da ANOVA omitido]

Post Hoc Tests

Multiple Comparisons
Dependent Variable: VD
Dunnett t (2-sided)

 

 

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

(I) VI_RECOD

(J) VI_RECOD

Lower Bound

Upper Bound

1

6

-7,0000

2,8284

,0603

-14,2348

,2348

2

6

-1,0000

2,8284

,9896

-8,2348

6,2348

4

6

13,0000(*)

2,8284

,0002

5,7652

20,2348

5

6

18,0000(*)

2,8284

,0000

10,7652

25,2348

* The mean difference is significant at the.05 level.

a Dunnett t-tests treat one group as a control, and compare all other groups against it.



Comandos (Procedimento de Bonferroni)

 
GET
 
  FILE='C:\Documents and Settings\user\Desktop\E05_DATA2.sav'.
 
ONEWAY
 
  vd BY vi
 
  /MISSING ANALYSIS
 
  /POSTHOC = BONFERRONI ALPHA(.05).
 
 

Output (Procedimento de Bonferroni)

 
 

[Quadro da ANOVA omitido]

Post Hoc Tests

Multiple Comparisons
Dependent Variable: VD
Bonferroni

 

 

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

(I) VI

(J) VI

Lower Bound

Upper Bound

1

2

-6,0000

2,8284

,4105

-14,4741

2,4741

3

-7,0000

2,8284

,1832

-15,4741

1,4741

4

-20,0000(*)

2,8284

,0000

-28,4741

-11,5259

5

-25,0000(*)

2,8284

,0000

-33,4741

-16,5259

2

1

6,0000

2,8284

,4105

-2,4741

14,4741

3

-1,0000

2,8284

1,0000

-9,4741

7,4741

4

-14,0000(*)

2,8284

,0002

-22,4741

-5,5259

5

-19,0000(*)

2,8284

,0000

-27,4741

-10,5259

3

1

7,0000

2,8284

,1832

-1,4741

15,4741

2

1,0000

2,8284

1,0000

-7,4741

9,4741

4

-13,0000(*)

2,8284

,0005

-21,4741

-4,5259

5

-18,0000(*)

2,8284

,0000

-26,4741

-9,5259

4

1

20,0000(*)

2,8284

,0000

11,5259

28,4741

2

14,0000(*)

2,8284

,0002

5,5259

22,4741

3

13,0000(*)

2,8284

,0005

4,5259

21,4741

5

-5,0000

2,8284

,8582

-13,4741

3,4741

5

1

25,0000(*)

2,8284

,0000

16,5259

33,4741

2

19,0000(*)

2,8284

,0000

10,5259

27,4741

3

18,0000(*)

2,8284

,0000

9,5259

26,4741

4

5,0000

2,8284

,8582

-3,4741

13,4741

* The mean difference is significant at the.05 level.

 

Ver Procedimentos e Outputs em
ANOVA Unifactorial: Medidas de Associação e do Tamanho do Efeito e Poder Observado

SPSS: SYNTAX FILES

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Última actualização: 2011-10-21