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Tests of Normality

The document reports the results of tests of normality and comparisons of mean color values across 11 treatment groups. Kolmogorov-Smirnov and Shapiro-Wilk tests were used to test for normal distributions in each group. Multiple comparison tests found several significant differences in mean color values between different treatment groups. Groups were also classified into homogeneous subsets based on mean color values not being significantly different.

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51 views7 pages

Tests of Normality

The document reports the results of tests of normality and comparisons of mean color values across 11 treatment groups. Kolmogorov-Smirnov and Shapiro-Wilk tests were used to test for normal distributions in each group. Multiple comparison tests found several significant differences in mean color values between different treatment groups. Groups were also classified into homogeneous subsets based on mean color values not being significantly different.

Uploaded by

joedcenteno
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Tests of Normality

Kolmogorov-Smirnova
Statistic
Color

df

.129

Shapiro-Wilk

Sig.
495

Statistic

.000

df

.918

Sig.
495

.000

a. Lilliefors Significance Correction

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic

df

.154

Shapiro-Wilk

Sig.
45

.009

Statistic

df

.918

Sig.
45

.003

a. Lilliefors Significance Correction


b. Treatments = 1

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic

df

.137

Shapiro-Wilk

Sig.
45

.034

Statistic

df

.909

Sig.
45

.002

a. Lilliefors Significance Correction


b. Treatments = 2

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic
.132

a. Lilliefors Significance Correction


b. Treatments = 3

df

Shapiro-Wilk

Sig.
45

.047

Statistic
.925

df

Sig.
45

.006

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic

df

.145

Shapiro-Wilk

Sig.
45

.019

Statistic

df

.906

Sig.
45

.001

a. Lilliefors Significance Correction


b. Treatments = 4

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic

df

.115

Shapiro-Wilk

Sig.
45

.168

Statistic

df

.950

Sig.
45

.051

a. Lilliefors Significance Correction


b. Treatments = 5

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic

df

.144

Shapiro-Wilk

Sig.
45

.020

Statistic

df

.906

Sig.
45

.001

a. Lilliefors Significance Correction


b. Treatments = 6

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic
.221

a. Lilliefors Significance Correction


b. Treatments = 7

df

Shapiro-Wilk

Sig.
45

.000

Statistic
.803

df

Sig.
45

.000

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic
.135

a. Lilliefors Significance Correction


b. Treatments = 8

df

Shapiro-Wilk

Sig.
45

.040

Statistic
.895

df

Sig.
45

.001

Tests of Normalityb
Treatme
nts
Color

Kolmogorov-Smirnova
Statistic

df

.176

Shapiro-Wilk

Sig.
45

Statistic

.001

df

Sig.

.924

45

.006

a. Lilliefors Significance Correction


b. Treatments = 9

Tests of Normalityb
Treatm
ents
Color

10

Kolmogorov-Smirnova
Statistic

df

.176

Shapiro-Wilk

Sig.
45

.001

Statistic

df

.876

Sig.
45

.000

a. Lilliefors Significance Correction


b. Treatments = 10

Tests of Normalityb
Treatm
ents
Color

11

Kolmogorov-Smirnova
Statistic

df

.180

a. Lilliefors Significance Correction


b. Treatments = 11

Shapiro-Wilk

Sig.
45

.001

Statistic
.858

df

Sig.
45

.000

Descriptive Statistics
Dependent Variable:Color
Treatme
nts

Mean

Std. Deviation

4.64

3.853

45

6.42

4.457

45

8.31

4.263

45

10.19

3.774

45

9.38

3.790

45

10.49

3.379

45

11.82

3.510

45

10.56

3.452

45

9.80

3.696

45

10

10.22

3.664

45

11

11.39

3.159

45

9.38

4.240

495

Total

Levene's Test of Equality of Error Variancesa


Dependent Variable:Color
F
1.868

df1

df2
10

Sig.
484

.047

Tests the null hypothesis that the error variance of


the dependent variable is equal across groups.
a. Design: Intercept + Treatments

Multiple Comparisons
Color
Tukey HSD
(I)

(J)

95% Confidence Interval

Treatme Treatme Mean Difference


nts

nts

-1.78

.789

.468

-4.33

.77

-3.67*

.789

.000

-6.23

-1.12

-5.55*

.789

.000

-8.10

-3.00

-4.74*

.789

.000

-7.30

-2.19

-5.85*

.789

.000

-8.40

-3.30

-7.18*

.789

.000

-9.74

-4.63

-5.92*

.789

.000

-8.47

-3.36

-5.16*

.789

.000

-7.72

-2.61

10

-5.58*

.789

.000

-8.13

-3.02

11

-6.75*

.789

.000

-9.31

-4.20

1.78

.789

.468

-.77

4.33

-1.89

.789

.369

-4.45

.66

-3.77*

.789

.000

-6.32

-1.22

-2.96*

.789

.009

-5.52

-.41

-4.07*

.789

.000

-6.63

-1.52

-5.41*

.789

.000

-7.96

-2.85

-4.14*

.789

.000

-6.69

-1.58

-3.38*

.789

.001

-5.94

-.83

10

-3.80*

.789

.000

-6.35

-1.24

11

-4.97*

.789

.000

-7.53

-2.42

3.67*

.789

.000

1.12

6.23

1.89

.789

.369

-.66

4.45

-1.88

.789

.383

-4.43

.68

-1.07

.789

.958

-3.62

1.48

-2.18

.789

.177

-4.73

.38

-3.51*

.789

.001

-6.06

-.96

-2.24

.789

.146

-4.80

.31

-1.49

.789

.725

-4.04

1.06

10

-1.90

.789

.362

-4.46

.65

(I-J)

Std. Error

Sig.

Lower Bound

Upper Bound

Color
Tukey HSDa,,b
Subset

Treatme
nts

45

4.64

45

6.42

45

45

9.38

9.38

45

9.80

9.80

45

10.19

10.19

10

45

10.22

10.22

45

10.49

10.49

45

10.56

10.56

11

45

11.39

45

11.82

Sig.

6.42
8.31

.468

.369

8.31

.146

Means for groups in homogeneous subsets are displayed.


Based on observed means.
The error term is Mean Square(Error) = 14.019.
a. Uses Harmonic Mean Sample Size = 45.000.
b. Alpha = .05.

.075

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