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STEM 1 Analysis

The document presents tests of normality for various treatments using the Kolmogorov-Smirnov and Shapiro-Wilk tests, showing significant results for Commercial and Uncoated treatments. It also includes multivariate tests indicating no significant differences in means across treatments. The Kruskal-Wallis test results suggest that the distribution of HCL is consistent across treatment categories, while TapWtr shows significant differences.

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JoHan Xyth Rizaldo
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28 views3 pages

STEM 1 Analysis

The document presents tests of normality for various treatments using the Kolmogorov-Smirnov and Shapiro-Wilk tests, showing significant results for Commercial and Uncoated treatments. It also includes multivariate tests indicating no significant differences in means across treatments. The Kruskal-Wallis test results suggest that the distribution of HCL is consistent across treatment categories, while TapWtr shows significant differences.

Uploaded by

JoHan Xyth Rizaldo
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

Treatment Kolmogorov-Smirnova Shapiro-Wilk

Statistic df Sig. Statistic df Sig.

Shellac .253 3 . .964 3 .637

Commercial .385 3 . .750 3 .000

T1 .385 3 . .750 3 .000


Nacl
T2 .175 3 . 1.000 3 1.000

T3 .175 3 . 1.000 3 1.000

Uncoated .385 3 . .750 3 .000


Shellac .385 3 . .750 3 .000
Commercial .385 3 . .750 3 .000
T1 .385 3 . .750 3 .000
HCL
T2 .314 3 . .893 3 .363
T3 .175 3 . 1.000 3 1.000
Uncoated .385 3 . .750 3 .000
Shellac .385 3 . .750 3 .000

Commercial .385 3 . .750 3 .000

T1 .253 3 . .964 3 .637


TapWtr
T2 .385 3 . .750 3 .000

T3 .385 3 . .750 3 .000

Uncoated .385 3 . .750 3 .000

a. Lilliefors Significance Correction

Equality of means before treatment


Multivariate Testsa

Effect Value F Hypothesis df Error df Sig.


b
Pillai's Trace 1.000 1363050.086 3.000 10.000 .000

Wilks' Lambda .000 1363050.086b 3.000 10.000 .000


Intercept
b
Hotelling's Trace 408915.026 1363050.086 3.000 10.000 .000

Roy's Largest Root 408915.026 1363050.086b 3.000 10.000 .000


Pillai's Trace .889 1.010 15.000 36.000 .467

Wilks' Lambda .323 .945 15.000 28.007 .530


Treatment
Hotelling's Trace 1.492 .862 15.000 26.000 .609
c
Roy's Largest Root .968 2.324 5.000 12.000 .107

a. Design: Intercept + Treatment


b. Exact statistic
c. The statistic is an upper bound on F that yields a lower bound on the significance level.
Hypothesis Test Summary
Null Hypothesis Test Sig. Decision
The distribution of HCL is the
Independent-Samples Retain the null
1 same across categories of .071
Kruskal-Wallis Test hypothesis.
Treatment.
The distribution of TapWtr is
Independent-Samples Reject the null
2 the same across categories of .013
Kruskal-Wallis Test hypothesis.
Treatment.
Asymptotic significances are displayed. The significance level is .05.

Kruskal-Wallis Test
Ranks

Treatment N Mean Rank

Shellac 3 13.33

Commercial 3 14.83

T1 3 9.67

NACL T2 3 9.17

T3 3 7.00

Uncoated 3 3.00

Total 18

Test Statisticsa,b

NACL

Chi-Square 10.164
df 5
Asymp. Sig. .071

a. Kruskal Wallis Test


b. Grouping Variable:
Treatment

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