This file was generated by AnalyzeEverything (www.norrsken-data-teknik.com)

The Original Data Tables:

Tension	Material
11	A
11.2	A
16	B
15.8	B
12	C
12.3	C
17	D
17.4	D

The Analyzing Results:

The FISHER hypothesis-test

is used to test the Tension of the data classes Material for equality.

The hypothesis is H₀: μ_i = μ_j
(i.e.: all means are equal).

The test is done by pairwise comparison at the significance level p=0.95

The given data is:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

The data was pairwise grouped for testing:

group	delta mean	sum.squares	count	F is	f test	error <
A-D	6.1	0.1	2.0	27.3	4.47	3.0E-4
A-B	4.8	0.04	2.0	33.9	4.47	1.5E-4
A-C	1.05	0.065	2.0	5.82	4.47	0.027
C-D	5.05	0.125	2.0	20.2	4.47	7.5E-4
C-B	3.75	0.065	2.0	20.8	4.47	6.3E-4
B-D	1.3	0.1	2.0	5.81	4.47	0.028

The data was grouped:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

Image: Class_Compar_0p.jpg

The Turkey hypothesis-test

is used to test the Tension of the data classes Material for equality.

The hypothesis is H₀: μ_i = μ_j
(i.e.: all means are equal).

The test is done by pairwise comparison at the significance level p=0.95

The given data is:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

The data was pairwise grouped for testing:

group	delta mean	sum.squares	count	F is	f test	error <
A-D	6.1	0.1	2.0	27.3	6.32	8.6E-4
A-B	4.8	0.04	2.0	33.9	6.32	4.2E-4
A-C	1.05	0.065	2.0	5.82	6.32	0.059
C-D	5.05	0.125	2.0	20.2	6.32	0.0022
C-B	3.75	0.065	2.0	20.8	6.32	0.0021
B-D	1.3	0.1	2.0	5.81	6.32	0.059

The data was grouped:

group	mean	std.dev.	sum.squares	count
A, C	11.625	0.6238	1.1675	4
B, D	16.55	0.7724	1.79	4

Image: Class_Compar_1p.jpg

The DUNCAN hypothesis-test

is used to test the Tension of the data classes Material for equality.

The hypothesis is H₀: μ_i = μ_j
(i.e.: all means are equal).

The test is done by pairwise comparison at the significance level p=0.95

The given data is:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

The data was pairwise grouped for testing:

group	delta mean	sum.squares	count	F is	f test	error <
A-D	6.1	0.1	2.0	27.3	18.8	0.035
A-B	4.8	0.04	2.0	33.9	5.59	0.0088
A-C	1.05	0.065	2.0	5.82	3.26	0.061
C-D	5.05	0.125	2.0	20.2	5.59	0.018
C-B	3.75	0.065	2.0	20.8	3.26	0.0068
B-D	1.3	0.1	2.0	5.81	3.26	0.061

The data was grouped:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

Image: Class_Compar_2p.jpg

The NEWMAN-KEULS hypothesis-test

is used to test the Tension of the data classes Material for equality.

This test is recommended.

The hypothesis is H₀: μ_i = μ_j
(i.e.: all means are equal).

The test is done by pairwise comparison at the significance level p=0.95

The given data is:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

The data was pairwise grouped for testing:

group	delta mean	sum.squares	count	F is	f test	error <
A-D	6.1	0.1	2.0	27.3	18.8	0.035
A-B	4.8	0.04	2.0	33.9	9.57	0.0088
A-C	1.05	0.065	2.0	5.82	6.61	0.061
C-D	5.05	0.125	2.0	20.2	9.57	0.018
C-B	3.75	0.065	2.0	20.8	6.61	0.0068
B-D	1.3	0.1	2.0	5.81	6.61	0.061

The data was grouped:

group	mean	std.dev.	sum.squares	count
A, C	11.625	0.6238	1.1675	4
B, D	16.55	0.7724	1.79	4

Image: Class_Compar_3p.jpg

The FISHER hypothesis-test

is used to test the Tension of the data classes Material for equality.

The hypothesis is H₀: μ_i = μ_j
(i.e.: all means are equal).

The test is done by classwise comparison at the significance level p=0.95

The given data is:

group	mean	std.dev.	sum.squares	count
A	11.1	0.1414	0.02	2
C	12.15	0.2121	0.045	2
B	15.9	0.1414	0.02	2
D	17.2	0.2828	0.08	2

The data was grouped:

group	mean	std.dev.	sum.squares	count
A, C	11.625	0.6238	1.1675	4
B, D	16.55	0.7724	1.79	4

Image: Class_Compar_4p.jpg