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R Software Module

rwasp_Two Factor ANOVA.wasp

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Two-Way ANOVA

Date of computation

Mon, 28 Apr 2014 07:34:36 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Apr/28/t1398684918oee60bojd9x0f7u.htm/, Retrieved Fri, 17 May 2024 04:51:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234656, Retrieved Fri, 17 May 2024 04:51:04 +0000

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Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Two-Way ANOVA] [Rachael Hepburn -...] [2014-04-28 11:34:36] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234656&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234656&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234656&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

ANOVA Model
Response ~ Treatment_A * Treatment_B
means	0.5	0.038	-0.167	-0.192	-0.167	0.071	-0.167	0.378	0.233	0.43	-0.148	0.095	0.236	0.253	0.449	0.321

\begin{tabular}{lllllllll}
\hline

ANOVA Model \tabularnewline

Response ~ Treatment_A * Treatment_B \tabularnewline means & 0.5 & 0.038 & -0.167 & -0.192 & -0.167 & 0.071 & -0.167 & 0.378 & 0.233 & 0.43 & -0.148 & 0.095 & 0.236 & 0.253 & 0.449 & 0.321 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=234656&T=1

[TABLE]
[ROW]

ANOVA Model[/C][/ROW] [ROW]

Response ~ Treatment_A * Treatment_B[/C][/ROW] [ROW][C]means[/C][C]0.5[/C][C]0.038[/C][C]-0.167[/C][C]-0.192[/C][C]-0.167[/C][C]0.071[/C][C]-0.167[/C][C]0.378[/C][C]0.233[/C][C]0.43[/C][C]-0.148[/C][C]0.095[/C][C]0.236[/C][C]0.253[/C][C]0.449[/C][C]0.321[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=234656&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234656&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

ANOVA Model
Response ~ Treatment_A * Treatment_B
means	0.5	0.038	-0.167	-0.192	-0.167	0.071	-0.167	0.378	0.233	0.43	-0.148	0.095	0.236	0.253	0.449	0.321

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
	3
Treatment_A	3	0.63	0.21	0.821	0.484
Treatment_B	3	0.464	0.155	0.604	0.613
Treatment_A:Treatment_B	3	1.901	0.211	0.826	0.593
Residuals	168	42.983	0.256

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 3 &  &  &  &  \tabularnewline
Treatment_A & 3 & 0.63 & 0.21 & 0.821 & 0.484 \tabularnewline
Treatment_B & 3 & 0.464 & 0.155 & 0.604 & 0.613 \tabularnewline
Treatment_A:Treatment_B & 3 & 1.901 & 0.211 & 0.826 & 0.593 \tabularnewline
Residuals & 168 & 42.983 & 0.256 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234656&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C][/C][C]3[/C][C][/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Treatment_A[/C][C]3[/C][C]0.63[/C][C]0.21[/C][C]0.821[/C][C]0.484[/C][/ROW]
[ROW][C]Treatment_B[/C][C]3[/C][C]0.464[/C][C]0.155[/C][C]0.604[/C][C]0.613[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]3[/C][C]1.901[/C][C]0.211[/C][C]0.826[/C][C]0.593[/C][/ROW]
[ROW][C]Residuals[/C][C]168[/C][C]42.983[/C][C]0.256[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234656&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234656&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
	3
Treatment_A	3	0.63	0.21	0.821	0.484
Treatment_B	3	0.464	0.155	0.604	0.613
Treatment_A:Treatment_B	3	1.901	0.211	0.826	0.593
Residuals	168	42.983	0.256

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	0.152	-0.122	0.426	0.475
3-1	0.022	-0.252	0.295	0.997
4-1	0.043	-0.23	0.317	0.976
3-2	-0.13	-0.404	0.143	0.604
4-2	-0.109	-0.382	0.165	0.732
4-3	0.022	-0.252	0.295	0.997
0.4-0.2	0.095	-0.179	0.368	0.807
0.6-0.2	0.133	-0.14	0.407	0.587
0.8-0.2	0.103	-0.171	0.377	0.763
0.6-0.4	0.039	-0.235	0.312	0.983
0.8-0.4	0.009	-0.265	0.282	1
0.8-0.6	-0.03	-0.304	0.243	0.992
2:0.2-1:0.2	0.038	-0.752	0.829	1
3:0.2-1:0.2	-0.167	-0.97	0.637	1
4:0.2-1:0.2	-0.192	-0.983	0.598	1
1:0.4-1:0.2	-0.167	-0.97	0.637	1
2:0.4-1:0.2	0.25	-0.553	1.053	0.999
3:0.4-1:0.2	-0.1	-0.87	0.67	1
4:0.4-1:0.2	0.071	-0.839	0.982	1
1:0.6-1:0.2	0.071	-0.708	0.851	1
2:0.6-1:0.2	-0.038	-0.829	0.752	1
3:0.6-1:0.2	0	-0.95	0.95	1
4:0.6-1:0.2	0.115	-0.675	0.906	1
1:0.8-1:0.2	-0.167	-0.97	0.637	1
2:0.8-1:0.2	0.125	-0.755	1.005	1
3:0.8-1:0.2	0.115	-0.675	0.906	1
4:0.8-1:0.2	-0.038	-0.829	0.752	1
3:0.2-2:0.2	-0.205	-0.91	0.499	1
4:0.2-2:0.2	-0.231	-0.921	0.459	0.999
1:0.4-2:0.2	-0.205	-0.91	0.499	1
2:0.4-2:0.2	0.212	-0.493	0.916	1
3:0.4-2:0.2	-0.138	-0.805	0.528	1
4:0.4-2:0.2	0.033	-0.792	0.858	1
1:0.6-2:0.2	0.033	-0.645	0.711	1
2:0.6-2:0.2	-0.077	-0.767	0.613	1
3:0.6-2:0.2	-0.038	-0.907	0.83	1
4:0.6-2:0.2	0.077	-0.613	0.767	1
1:0.8-2:0.2	-0.205	-0.91	0.499	1
2:0.8-2:0.2	0.087	-0.704	0.877	1
3:0.8-2:0.2	0.077	-0.613	0.767	1
4:0.8-2:0.2	-0.077	-0.767	0.613	1
4:0.2-3:0.2	-0.026	-0.73	0.679	1
1:0.4-3:0.2	0	-0.718	0.718	1
2:0.4-3:0.2	0.417	-0.302	1.135	0.812
3:0.4-3:0.2	0.067	-0.615	0.748	1
4:0.4-3:0.2	0.238	-0.599	1.075	1
1:0.6-3:0.2	0.238	-0.454	0.93	0.998
2:0.6-3:0.2	0.128	-0.576	0.833	1
3:0.6-3:0.2	0.167	-0.713	1.046	1
4:0.6-3:0.2	0.282	-0.422	0.986	0.991
1:0.8-3:0.2	0	-0.718	0.718	1
2:0.8-3:0.2	0.292	-0.512	1.095	0.997
3:0.8-3:0.2	0.282	-0.422	0.986	0.991
4:0.8-3:0.2	0.128	-0.576	0.833	1
1:0.4-4:0.2	0.026	-0.679	0.73	1
2:0.4-4:0.2	0.442	-0.262	1.147	0.707
3:0.4-4:0.2	0.092	-0.574	0.759	1
4:0.4-4:0.2	0.264	-0.561	1.089	0.999
1:0.6-4:0.2	0.264	-0.414	0.941	0.993
2:0.6-4:0.2	0.154	-0.536	0.844	1
3:0.6-4:0.2	0.192	-0.676	1.061	1
4:0.6-4:0.2	0.308	-0.383	0.998	0.974
1:0.8-4:0.2	0.026	-0.679	0.73	1
2:0.8-4:0.2	0.317	-0.473	1.108	0.991
3:0.8-4:0.2	0.308	-0.383	0.998	0.974
4:0.8-4:0.2	0.154	-0.536	0.844	1
2:0.4-1:0.4	0.417	-0.302	1.135	0.812
3:0.4-1:0.4	0.067	-0.615	0.748	1
4:0.4-1:0.4	0.238	-0.599	1.075	1
1:0.6-1:0.4	0.238	-0.454	0.93	0.998
2:0.6-1:0.4	0.128	-0.576	0.833	1
3:0.6-1:0.4	0.167	-0.713	1.046	1
4:0.6-1:0.4	0.282	-0.422	0.986	0.991
1:0.8-1:0.4	0	-0.718	0.718	1
2:0.8-1:0.4	0.292	-0.512	1.095	0.997
3:0.8-1:0.4	0.282	-0.422	0.986	0.991
4:0.8-1:0.4	0.128	-0.576	0.833	1
3:0.4-2:0.4	-0.35	-1.032	0.332	0.918
4:0.4-2:0.4	-0.179	-1.015	0.658	1
1:0.6-2:0.4	-0.179	-0.871	0.514	1
2:0.6-2:0.4	-0.288	-0.993	0.416	0.988
3:0.6-2:0.4	-0.25	-1.13	0.63	1
4:0.6-2:0.4	-0.135	-0.839	0.57	1
1:0.8-2:0.4	-0.417	-1.135	0.302	0.812
2:0.8-2:0.4	-0.125	-0.928	0.678	1
3:0.8-2:0.4	-0.135	-0.839	0.57	1
4:0.8-2:0.4	-0.288	-0.993	0.416	0.988
4:0.4-3:0.4	0.171	-0.634	0.977	1
1:0.6-3:0.4	0.171	-0.482	0.825	1
2:0.6-3:0.4	0.062	-0.605	0.728	1
3:0.6-3:0.4	0.1	-0.75	0.95	1
4:0.6-3:0.4	0.215	-0.451	0.882	0.999
1:0.8-3:0.4	-0.067	-0.748	0.615	1
2:0.8-3:0.4	0.225	-0.545	0.995	1
3:0.8-3:0.4	0.215	-0.451	0.882	0.999
4:0.8-3:0.4	0.062	-0.605	0.728	1
1:0.6-4:0.4	0	-0.815	0.815	1
2:0.6-4:0.4	-0.11	-0.935	0.715	1
3:0.6-4:0.4	-0.071	-1.05	0.908	1
4:0.6-4:0.4	0.044	-0.781	0.869	1
1:0.8-4:0.4	-0.238	-1.075	0.599	1
2:0.8-4:0.4	0.054	-0.857	0.964	1
3:0.8-4:0.4	0.044	-0.781	0.869	1
4:0.8-4:0.4	-0.11	-0.935	0.715	1
2:0.6-1:0.6	-0.11	-0.788	0.568	1
3:0.6-1:0.6	-0.071	-0.93	0.787	1
4:0.6-1:0.6	0.044	-0.634	0.722	1
1:0.8-1:0.6	-0.238	-0.93	0.454	0.998
2:0.8-1:0.6	0.054	-0.726	0.833	1
3:0.8-1:0.6	0.044	-0.634	0.722	1
4:0.8-1:0.6	-0.11	-0.788	0.568	1
3:0.6-2:0.6	0.038	-0.83	0.907	1
4:0.6-2:0.6	0.154	-0.536	0.844	1
1:0.8-2:0.6	-0.128	-0.833	0.576	1
2:0.8-2:0.6	0.163	-0.627	0.954	1
3:0.8-2:0.6	0.154	-0.536	0.844	1
4:0.8-2:0.6	0	-0.69	0.69	1
4:0.6-3:0.6	0.115	-0.753	0.984	1
1:0.8-3:0.6	-0.167	-1.046	0.713	1
2:0.8-3:0.6	0.125	-0.825	1.075	1
3:0.8-3:0.6	0.115	-0.753	0.984	1
4:0.8-3:0.6	-0.038	-0.907	0.83	1
1:0.8-4:0.6	-0.282	-0.986	0.422	0.991
2:0.8-4:0.6	0.01	-0.781	0.8	1
3:0.8-4:0.6	0	-0.69	0.69	1
4:0.8-4:0.6	-0.154	-0.844	0.536	1
2:0.8-1:0.8	0.292	-0.512	1.095	0.997
3:0.8-1:0.8	0.282	-0.422	0.986	0.991
4:0.8-1:0.8	0.128	-0.576	0.833	1
3:0.8-2:0.8	-0.01	-0.8	0.781	1
4:0.8-2:0.8	-0.163	-0.954	0.627	1
4:0.8-3:0.8	-0.154	-0.844	0.536	1

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 0.152 & -0.122 & 0.426 & 0.475 \tabularnewline
3-1 & 0.022 & -0.252 & 0.295 & 0.997 \tabularnewline
4-1 & 0.043 & -0.23 & 0.317 & 0.976 \tabularnewline
3-2 & -0.13 & -0.404 & 0.143 & 0.604 \tabularnewline
4-2 & -0.109 & -0.382 & 0.165 & 0.732 \tabularnewline
4-3 & 0.022 & -0.252 & 0.295 & 0.997 \tabularnewline
0.4-0.2 & 0.095 & -0.179 & 0.368 & 0.807 \tabularnewline
0.6-0.2 & 0.133 & -0.14 & 0.407 & 0.587 \tabularnewline
0.8-0.2 & 0.103 & -0.171 & 0.377 & 0.763 \tabularnewline
0.6-0.4 & 0.039 & -0.235 & 0.312 & 0.983 \tabularnewline
0.8-0.4 & 0.009 & -0.265 & 0.282 & 1 \tabularnewline
0.8-0.6 & -0.03 & -0.304 & 0.243 & 0.992 \tabularnewline
2:0.2-1:0.2 & 0.038 & -0.752 & 0.829 & 1 \tabularnewline
3:0.2-1:0.2 & -0.167 & -0.97 & 0.637 & 1 \tabularnewline
4:0.2-1:0.2 & -0.192 & -0.983 & 0.598 & 1 \tabularnewline
1:0.4-1:0.2 & -0.167 & -0.97 & 0.637 & 1 \tabularnewline
2:0.4-1:0.2 & 0.25 & -0.553 & 1.053 & 0.999 \tabularnewline
3:0.4-1:0.2 & -0.1 & -0.87 & 0.67 & 1 \tabularnewline
4:0.4-1:0.2 & 0.071 & -0.839 & 0.982 & 1 \tabularnewline
1:0.6-1:0.2 & 0.071 & -0.708 & 0.851 & 1 \tabularnewline
2:0.6-1:0.2 & -0.038 & -0.829 & 0.752 & 1 \tabularnewline
3:0.6-1:0.2 & 0 & -0.95 & 0.95 & 1 \tabularnewline
4:0.6-1:0.2 & 0.115 & -0.675 & 0.906 & 1 \tabularnewline
1:0.8-1:0.2 & -0.167 & -0.97 & 0.637 & 1 \tabularnewline
2:0.8-1:0.2 & 0.125 & -0.755 & 1.005 & 1 \tabularnewline
3:0.8-1:0.2 & 0.115 & -0.675 & 0.906 & 1 \tabularnewline
4:0.8-1:0.2 & -0.038 & -0.829 & 0.752 & 1 \tabularnewline
3:0.2-2:0.2 & -0.205 & -0.91 & 0.499 & 1 \tabularnewline
4:0.2-2:0.2 & -0.231 & -0.921 & 0.459 & 0.999 \tabularnewline
1:0.4-2:0.2 & -0.205 & -0.91 & 0.499 & 1 \tabularnewline
2:0.4-2:0.2 & 0.212 & -0.493 & 0.916 & 1 \tabularnewline
3:0.4-2:0.2 & -0.138 & -0.805 & 0.528 & 1 \tabularnewline
4:0.4-2:0.2 & 0.033 & -0.792 & 0.858 & 1 \tabularnewline
1:0.6-2:0.2 & 0.033 & -0.645 & 0.711 & 1 \tabularnewline
2:0.6-2:0.2 & -0.077 & -0.767 & 0.613 & 1 \tabularnewline
3:0.6-2:0.2 & -0.038 & -0.907 & 0.83 & 1 \tabularnewline
4:0.6-2:0.2 & 0.077 & -0.613 & 0.767 & 1 \tabularnewline
1:0.8-2:0.2 & -0.205 & -0.91 & 0.499 & 1 \tabularnewline
2:0.8-2:0.2 & 0.087 & -0.704 & 0.877 & 1 \tabularnewline
3:0.8-2:0.2 & 0.077 & -0.613 & 0.767 & 1 \tabularnewline
4:0.8-2:0.2 & -0.077 & -0.767 & 0.613 & 1 \tabularnewline
4:0.2-3:0.2 & -0.026 & -0.73 & 0.679 & 1 \tabularnewline
1:0.4-3:0.2 & 0 & -0.718 & 0.718 & 1 \tabularnewline
2:0.4-3:0.2 & 0.417 & -0.302 & 1.135 & 0.812 \tabularnewline
3:0.4-3:0.2 & 0.067 & -0.615 & 0.748 & 1 \tabularnewline
4:0.4-3:0.2 & 0.238 & -0.599 & 1.075 & 1 \tabularnewline
1:0.6-3:0.2 & 0.238 & -0.454 & 0.93 & 0.998 \tabularnewline
2:0.6-3:0.2 & 0.128 & -0.576 & 0.833 & 1 \tabularnewline
3:0.6-3:0.2 & 0.167 & -0.713 & 1.046 & 1 \tabularnewline
4:0.6-3:0.2 & 0.282 & -0.422 & 0.986 & 0.991 \tabularnewline
1:0.8-3:0.2 & 0 & -0.718 & 0.718 & 1 \tabularnewline
2:0.8-3:0.2 & 0.292 & -0.512 & 1.095 & 0.997 \tabularnewline
3:0.8-3:0.2 & 0.282 & -0.422 & 0.986 & 0.991 \tabularnewline
4:0.8-3:0.2 & 0.128 & -0.576 & 0.833 & 1 \tabularnewline
1:0.4-4:0.2 & 0.026 & -0.679 & 0.73 & 1 \tabularnewline
2:0.4-4:0.2 & 0.442 & -0.262 & 1.147 & 0.707 \tabularnewline
3:0.4-4:0.2 & 0.092 & -0.574 & 0.759 & 1 \tabularnewline
4:0.4-4:0.2 & 0.264 & -0.561 & 1.089 & 0.999 \tabularnewline
1:0.6-4:0.2 & 0.264 & -0.414 & 0.941 & 0.993 \tabularnewline
2:0.6-4:0.2 & 0.154 & -0.536 & 0.844 & 1 \tabularnewline
3:0.6-4:0.2 & 0.192 & -0.676 & 1.061 & 1 \tabularnewline
4:0.6-4:0.2 & 0.308 & -0.383 & 0.998 & 0.974 \tabularnewline
1:0.8-4:0.2 & 0.026 & -0.679 & 0.73 & 1 \tabularnewline
2:0.8-4:0.2 & 0.317 & -0.473 & 1.108 & 0.991 \tabularnewline
3:0.8-4:0.2 & 0.308 & -0.383 & 0.998 & 0.974 \tabularnewline
4:0.8-4:0.2 & 0.154 & -0.536 & 0.844 & 1 \tabularnewline
2:0.4-1:0.4 & 0.417 & -0.302 & 1.135 & 0.812 \tabularnewline
3:0.4-1:0.4 & 0.067 & -0.615 & 0.748 & 1 \tabularnewline
4:0.4-1:0.4 & 0.238 & -0.599 & 1.075 & 1 \tabularnewline
1:0.6-1:0.4 & 0.238 & -0.454 & 0.93 & 0.998 \tabularnewline
2:0.6-1:0.4 & 0.128 & -0.576 & 0.833 & 1 \tabularnewline
3:0.6-1:0.4 & 0.167 & -0.713 & 1.046 & 1 \tabularnewline
4:0.6-1:0.4 & 0.282 & -0.422 & 0.986 & 0.991 \tabularnewline
1:0.8-1:0.4 & 0 & -0.718 & 0.718 & 1 \tabularnewline
2:0.8-1:0.4 & 0.292 & -0.512 & 1.095 & 0.997 \tabularnewline
3:0.8-1:0.4 & 0.282 & -0.422 & 0.986 & 0.991 \tabularnewline
4:0.8-1:0.4 & 0.128 & -0.576 & 0.833 & 1 \tabularnewline
3:0.4-2:0.4 & -0.35 & -1.032 & 0.332 & 0.918 \tabularnewline
4:0.4-2:0.4 & -0.179 & -1.015 & 0.658 & 1 \tabularnewline
1:0.6-2:0.4 & -0.179 & -0.871 & 0.514 & 1 \tabularnewline
2:0.6-2:0.4 & -0.288 & -0.993 & 0.416 & 0.988 \tabularnewline
3:0.6-2:0.4 & -0.25 & -1.13 & 0.63 & 1 \tabularnewline
4:0.6-2:0.4 & -0.135 & -0.839 & 0.57 & 1 \tabularnewline
1:0.8-2:0.4 & -0.417 & -1.135 & 0.302 & 0.812 \tabularnewline
2:0.8-2:0.4 & -0.125 & -0.928 & 0.678 & 1 \tabularnewline
3:0.8-2:0.4 & -0.135 & -0.839 & 0.57 & 1 \tabularnewline
4:0.8-2:0.4 & -0.288 & -0.993 & 0.416 & 0.988 \tabularnewline
4:0.4-3:0.4 & 0.171 & -0.634 & 0.977 & 1 \tabularnewline
1:0.6-3:0.4 & 0.171 & -0.482 & 0.825 & 1 \tabularnewline
2:0.6-3:0.4 & 0.062 & -0.605 & 0.728 & 1 \tabularnewline
3:0.6-3:0.4 & 0.1 & -0.75 & 0.95 & 1 \tabularnewline
4:0.6-3:0.4 & 0.215 & -0.451 & 0.882 & 0.999 \tabularnewline
1:0.8-3:0.4 & -0.067 & -0.748 & 0.615 & 1 \tabularnewline
2:0.8-3:0.4 & 0.225 & -0.545 & 0.995 & 1 \tabularnewline
3:0.8-3:0.4 & 0.215 & -0.451 & 0.882 & 0.999 \tabularnewline
4:0.8-3:0.4 & 0.062 & -0.605 & 0.728 & 1 \tabularnewline
1:0.6-4:0.4 & 0 & -0.815 & 0.815 & 1 \tabularnewline
2:0.6-4:0.4 & -0.11 & -0.935 & 0.715 & 1 \tabularnewline
3:0.6-4:0.4 & -0.071 & -1.05 & 0.908 & 1 \tabularnewline
4:0.6-4:0.4 & 0.044 & -0.781 & 0.869 & 1 \tabularnewline
1:0.8-4:0.4 & -0.238 & -1.075 & 0.599 & 1 \tabularnewline
2:0.8-4:0.4 & 0.054 & -0.857 & 0.964 & 1 \tabularnewline
3:0.8-4:0.4 & 0.044 & -0.781 & 0.869 & 1 \tabularnewline
4:0.8-4:0.4 & -0.11 & -0.935 & 0.715 & 1 \tabularnewline
2:0.6-1:0.6 & -0.11 & -0.788 & 0.568 & 1 \tabularnewline
3:0.6-1:0.6 & -0.071 & -0.93 & 0.787 & 1 \tabularnewline
4:0.6-1:0.6 & 0.044 & -0.634 & 0.722 & 1 \tabularnewline
1:0.8-1:0.6 & -0.238 & -0.93 & 0.454 & 0.998 \tabularnewline
2:0.8-1:0.6 & 0.054 & -0.726 & 0.833 & 1 \tabularnewline
3:0.8-1:0.6 & 0.044 & -0.634 & 0.722 & 1 \tabularnewline
4:0.8-1:0.6 & -0.11 & -0.788 & 0.568 & 1 \tabularnewline
3:0.6-2:0.6 & 0.038 & -0.83 & 0.907 & 1 \tabularnewline
4:0.6-2:0.6 & 0.154 & -0.536 & 0.844 & 1 \tabularnewline
1:0.8-2:0.6 & -0.128 & -0.833 & 0.576 & 1 \tabularnewline
2:0.8-2:0.6 & 0.163 & -0.627 & 0.954 & 1 \tabularnewline
3:0.8-2:0.6 & 0.154 & -0.536 & 0.844 & 1 \tabularnewline
4:0.8-2:0.6 & 0 & -0.69 & 0.69 & 1 \tabularnewline
4:0.6-3:0.6 & 0.115 & -0.753 & 0.984 & 1 \tabularnewline
1:0.8-3:0.6 & -0.167 & -1.046 & 0.713 & 1 \tabularnewline
2:0.8-3:0.6 & 0.125 & -0.825 & 1.075 & 1 \tabularnewline
3:0.8-3:0.6 & 0.115 & -0.753 & 0.984 & 1 \tabularnewline
4:0.8-3:0.6 & -0.038 & -0.907 & 0.83 & 1 \tabularnewline
1:0.8-4:0.6 & -0.282 & -0.986 & 0.422 & 0.991 \tabularnewline
2:0.8-4:0.6 & 0.01 & -0.781 & 0.8 & 1 \tabularnewline
3:0.8-4:0.6 & 0 & -0.69 & 0.69 & 1 \tabularnewline
4:0.8-4:0.6 & -0.154 & -0.844 & 0.536 & 1 \tabularnewline
2:0.8-1:0.8 & 0.292 & -0.512 & 1.095 & 0.997 \tabularnewline
3:0.8-1:0.8 & 0.282 & -0.422 & 0.986 & 0.991 \tabularnewline
4:0.8-1:0.8 & 0.128 & -0.576 & 0.833 & 1 \tabularnewline
3:0.8-2:0.8 & -0.01 & -0.8 & 0.781 & 1 \tabularnewline
4:0.8-2:0.8 & -0.163 & -0.954 & 0.627 & 1 \tabularnewline
4:0.8-3:0.8 & -0.154 & -0.844 & 0.536 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234656&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]2-1[/C][C]0.152[/C][C]-0.122[/C][C]0.426[/C][C]0.475[/C][/ROW]
[ROW][C]3-1[/C][C]0.022[/C][C]-0.252[/C][C]0.295[/C][C]0.997[/C][/ROW]
[ROW][C]4-1[/C][C]0.043[/C][C]-0.23[/C][C]0.317[/C][C]0.976[/C][/ROW]
[ROW][C]3-2[/C][C]-0.13[/C][C]-0.404[/C][C]0.143[/C][C]0.604[/C][/ROW]
[ROW][C]4-2[/C][C]-0.109[/C][C]-0.382[/C][C]0.165[/C][C]0.732[/C][/ROW]
[ROW][C]4-3[/C][C]0.022[/C][C]-0.252[/C][C]0.295[/C][C]0.997[/C][/ROW]
[ROW][C]0.4-0.2[/C][C]0.095[/C][C]-0.179[/C][C]0.368[/C][C]0.807[/C][/ROW]
[ROW][C]0.6-0.2[/C][C]0.133[/C][C]-0.14[/C][C]0.407[/C][C]0.587[/C][/ROW]
[ROW][C]0.8-0.2[/C][C]0.103[/C][C]-0.171[/C][C]0.377[/C][C]0.763[/C][/ROW]
[ROW][C]0.6-0.4[/C][C]0.039[/C][C]-0.235[/C][C]0.312[/C][C]0.983[/C][/ROW]
[ROW][C]0.8-0.4[/C][C]0.009[/C][C]-0.265[/C][C]0.282[/C][C]1[/C][/ROW]
[ROW][C]0.8-0.6[/C][C]-0.03[/C][C]-0.304[/C][C]0.243[/C][C]0.992[/C][/ROW]
[ROW][C]2:0.2-1:0.2[/C][C]0.038[/C][C]-0.752[/C][C]0.829[/C][C]1[/C][/ROW]
[ROW][C]3:0.2-1:0.2[/C][C]-0.167[/C][C]-0.97[/C][C]0.637[/C][C]1[/C][/ROW]
[ROW][C]4:0.2-1:0.2[/C][C]-0.192[/C][C]-0.983[/C][C]0.598[/C][C]1[/C][/ROW]
[ROW][C]1:0.4-1:0.2[/C][C]-0.167[/C][C]-0.97[/C][C]0.637[/C][C]1[/C][/ROW]
[ROW][C]2:0.4-1:0.2[/C][C]0.25[/C][C]-0.553[/C][C]1.053[/C][C]0.999[/C][/ROW]
[ROW][C]3:0.4-1:0.2[/C][C]-0.1[/C][C]-0.87[/C][C]0.67[/C][C]1[/C][/ROW]
[ROW][C]4:0.4-1:0.2[/C][C]0.071[/C][C]-0.839[/C][C]0.982[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-1:0.2[/C][C]0.071[/C][C]-0.708[/C][C]0.851[/C][C]1[/C][/ROW]
[ROW][C]2:0.6-1:0.2[/C][C]-0.038[/C][C]-0.829[/C][C]0.752[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-1:0.2[/C][C]0[/C][C]-0.95[/C][C]0.95[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-1:0.2[/C][C]0.115[/C][C]-0.675[/C][C]0.906[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-1:0.2[/C][C]-0.167[/C][C]-0.97[/C][C]0.637[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-1:0.2[/C][C]0.125[/C][C]-0.755[/C][C]1.005[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-1:0.2[/C][C]0.115[/C][C]-0.675[/C][C]0.906[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-1:0.2[/C][C]-0.038[/C][C]-0.829[/C][C]0.752[/C][C]1[/C][/ROW]
[ROW][C]3:0.2-2:0.2[/C][C]-0.205[/C][C]-0.91[/C][C]0.499[/C][C]1[/C][/ROW]
[ROW][C]4:0.2-2:0.2[/C][C]-0.231[/C][C]-0.921[/C][C]0.459[/C][C]0.999[/C][/ROW]
[ROW][C]1:0.4-2:0.2[/C][C]-0.205[/C][C]-0.91[/C][C]0.499[/C][C]1[/C][/ROW]
[ROW][C]2:0.4-2:0.2[/C][C]0.212[/C][C]-0.493[/C][C]0.916[/C][C]1[/C][/ROW]
[ROW][C]3:0.4-2:0.2[/C][C]-0.138[/C][C]-0.805[/C][C]0.528[/C][C]1[/C][/ROW]
[ROW][C]4:0.4-2:0.2[/C][C]0.033[/C][C]-0.792[/C][C]0.858[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-2:0.2[/C][C]0.033[/C][C]-0.645[/C][C]0.711[/C][C]1[/C][/ROW]
[ROW][C]2:0.6-2:0.2[/C][C]-0.077[/C][C]-0.767[/C][C]0.613[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-2:0.2[/C][C]-0.038[/C][C]-0.907[/C][C]0.83[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-2:0.2[/C][C]0.077[/C][C]-0.613[/C][C]0.767[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-2:0.2[/C][C]-0.205[/C][C]-0.91[/C][C]0.499[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-2:0.2[/C][C]0.087[/C][C]-0.704[/C][C]0.877[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-2:0.2[/C][C]0.077[/C][C]-0.613[/C][C]0.767[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-2:0.2[/C][C]-0.077[/C][C]-0.767[/C][C]0.613[/C][C]1[/C][/ROW]
[ROW][C]4:0.2-3:0.2[/C][C]-0.026[/C][C]-0.73[/C][C]0.679[/C][C]1[/C][/ROW]
[ROW][C]1:0.4-3:0.2[/C][C]0[/C][C]-0.718[/C][C]0.718[/C][C]1[/C][/ROW]
[ROW][C]2:0.4-3:0.2[/C][C]0.417[/C][C]-0.302[/C][C]1.135[/C][C]0.812[/C][/ROW]
[ROW][C]3:0.4-3:0.2[/C][C]0.067[/C][C]-0.615[/C][C]0.748[/C][C]1[/C][/ROW]
[ROW][C]4:0.4-3:0.2[/C][C]0.238[/C][C]-0.599[/C][C]1.075[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-3:0.2[/C][C]0.238[/C][C]-0.454[/C][C]0.93[/C][C]0.998[/C][/ROW]
[ROW][C]2:0.6-3:0.2[/C][C]0.128[/C][C]-0.576[/C][C]0.833[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-3:0.2[/C][C]0.167[/C][C]-0.713[/C][C]1.046[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-3:0.2[/C][C]0.282[/C][C]-0.422[/C][C]0.986[/C][C]0.991[/C][/ROW]
[ROW][C]1:0.8-3:0.2[/C][C]0[/C][C]-0.718[/C][C]0.718[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-3:0.2[/C][C]0.292[/C][C]-0.512[/C][C]1.095[/C][C]0.997[/C][/ROW]
[ROW][C]3:0.8-3:0.2[/C][C]0.282[/C][C]-0.422[/C][C]0.986[/C][C]0.991[/C][/ROW]
[ROW][C]4:0.8-3:0.2[/C][C]0.128[/C][C]-0.576[/C][C]0.833[/C][C]1[/C][/ROW]
[ROW][C]1:0.4-4:0.2[/C][C]0.026[/C][C]-0.679[/C][C]0.73[/C][C]1[/C][/ROW]
[ROW][C]2:0.4-4:0.2[/C][C]0.442[/C][C]-0.262[/C][C]1.147[/C][C]0.707[/C][/ROW]
[ROW][C]3:0.4-4:0.2[/C][C]0.092[/C][C]-0.574[/C][C]0.759[/C][C]1[/C][/ROW]
[ROW][C]4:0.4-4:0.2[/C][C]0.264[/C][C]-0.561[/C][C]1.089[/C][C]0.999[/C][/ROW]
[ROW][C]1:0.6-4:0.2[/C][C]0.264[/C][C]-0.414[/C][C]0.941[/C][C]0.993[/C][/ROW]
[ROW][C]2:0.6-4:0.2[/C][C]0.154[/C][C]-0.536[/C][C]0.844[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-4:0.2[/C][C]0.192[/C][C]-0.676[/C][C]1.061[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-4:0.2[/C][C]0.308[/C][C]-0.383[/C][C]0.998[/C][C]0.974[/C][/ROW]
[ROW][C]1:0.8-4:0.2[/C][C]0.026[/C][C]-0.679[/C][C]0.73[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-4:0.2[/C][C]0.317[/C][C]-0.473[/C][C]1.108[/C][C]0.991[/C][/ROW]
[ROW][C]3:0.8-4:0.2[/C][C]0.308[/C][C]-0.383[/C][C]0.998[/C][C]0.974[/C][/ROW]
[ROW][C]4:0.8-4:0.2[/C][C]0.154[/C][C]-0.536[/C][C]0.844[/C][C]1[/C][/ROW]
[ROW][C]2:0.4-1:0.4[/C][C]0.417[/C][C]-0.302[/C][C]1.135[/C][C]0.812[/C][/ROW]
[ROW][C]3:0.4-1:0.4[/C][C]0.067[/C][C]-0.615[/C][C]0.748[/C][C]1[/C][/ROW]
[ROW][C]4:0.4-1:0.4[/C][C]0.238[/C][C]-0.599[/C][C]1.075[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-1:0.4[/C][C]0.238[/C][C]-0.454[/C][C]0.93[/C][C]0.998[/C][/ROW]
[ROW][C]2:0.6-1:0.4[/C][C]0.128[/C][C]-0.576[/C][C]0.833[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-1:0.4[/C][C]0.167[/C][C]-0.713[/C][C]1.046[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-1:0.4[/C][C]0.282[/C][C]-0.422[/C][C]0.986[/C][C]0.991[/C][/ROW]
[ROW][C]1:0.8-1:0.4[/C][C]0[/C][C]-0.718[/C][C]0.718[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-1:0.4[/C][C]0.292[/C][C]-0.512[/C][C]1.095[/C][C]0.997[/C][/ROW]
[ROW][C]3:0.8-1:0.4[/C][C]0.282[/C][C]-0.422[/C][C]0.986[/C][C]0.991[/C][/ROW]
[ROW][C]4:0.8-1:0.4[/C][C]0.128[/C][C]-0.576[/C][C]0.833[/C][C]1[/C][/ROW]
[ROW][C]3:0.4-2:0.4[/C][C]-0.35[/C][C]-1.032[/C][C]0.332[/C][C]0.918[/C][/ROW]
[ROW][C]4:0.4-2:0.4[/C][C]-0.179[/C][C]-1.015[/C][C]0.658[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-2:0.4[/C][C]-0.179[/C][C]-0.871[/C][C]0.514[/C][C]1[/C][/ROW]
[ROW][C]2:0.6-2:0.4[/C][C]-0.288[/C][C]-0.993[/C][C]0.416[/C][C]0.988[/C][/ROW]
[ROW][C]3:0.6-2:0.4[/C][C]-0.25[/C][C]-1.13[/C][C]0.63[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-2:0.4[/C][C]-0.135[/C][C]-0.839[/C][C]0.57[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-2:0.4[/C][C]-0.417[/C][C]-1.135[/C][C]0.302[/C][C]0.812[/C][/ROW]
[ROW][C]2:0.8-2:0.4[/C][C]-0.125[/C][C]-0.928[/C][C]0.678[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-2:0.4[/C][C]-0.135[/C][C]-0.839[/C][C]0.57[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-2:0.4[/C][C]-0.288[/C][C]-0.993[/C][C]0.416[/C][C]0.988[/C][/ROW]
[ROW][C]4:0.4-3:0.4[/C][C]0.171[/C][C]-0.634[/C][C]0.977[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-3:0.4[/C][C]0.171[/C][C]-0.482[/C][C]0.825[/C][C]1[/C][/ROW]
[ROW][C]2:0.6-3:0.4[/C][C]0.062[/C][C]-0.605[/C][C]0.728[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-3:0.4[/C][C]0.1[/C][C]-0.75[/C][C]0.95[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-3:0.4[/C][C]0.215[/C][C]-0.451[/C][C]0.882[/C][C]0.999[/C][/ROW]
[ROW][C]1:0.8-3:0.4[/C][C]-0.067[/C][C]-0.748[/C][C]0.615[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-3:0.4[/C][C]0.225[/C][C]-0.545[/C][C]0.995[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-3:0.4[/C][C]0.215[/C][C]-0.451[/C][C]0.882[/C][C]0.999[/C][/ROW]
[ROW][C]4:0.8-3:0.4[/C][C]0.062[/C][C]-0.605[/C][C]0.728[/C][C]1[/C][/ROW]
[ROW][C]1:0.6-4:0.4[/C][C]0[/C][C]-0.815[/C][C]0.815[/C][C]1[/C][/ROW]
[ROW][C]2:0.6-4:0.4[/C][C]-0.11[/C][C]-0.935[/C][C]0.715[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-4:0.4[/C][C]-0.071[/C][C]-1.05[/C][C]0.908[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-4:0.4[/C][C]0.044[/C][C]-0.781[/C][C]0.869[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-4:0.4[/C][C]-0.238[/C][C]-1.075[/C][C]0.599[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-4:0.4[/C][C]0.054[/C][C]-0.857[/C][C]0.964[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-4:0.4[/C][C]0.044[/C][C]-0.781[/C][C]0.869[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-4:0.4[/C][C]-0.11[/C][C]-0.935[/C][C]0.715[/C][C]1[/C][/ROW]
[ROW][C]2:0.6-1:0.6[/C][C]-0.11[/C][C]-0.788[/C][C]0.568[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-1:0.6[/C][C]-0.071[/C][C]-0.93[/C][C]0.787[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-1:0.6[/C][C]0.044[/C][C]-0.634[/C][C]0.722[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-1:0.6[/C][C]-0.238[/C][C]-0.93[/C][C]0.454[/C][C]0.998[/C][/ROW]
[ROW][C]2:0.8-1:0.6[/C][C]0.054[/C][C]-0.726[/C][C]0.833[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-1:0.6[/C][C]0.044[/C][C]-0.634[/C][C]0.722[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-1:0.6[/C][C]-0.11[/C][C]-0.788[/C][C]0.568[/C][C]1[/C][/ROW]
[ROW][C]3:0.6-2:0.6[/C][C]0.038[/C][C]-0.83[/C][C]0.907[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-2:0.6[/C][C]0.154[/C][C]-0.536[/C][C]0.844[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-2:0.6[/C][C]-0.128[/C][C]-0.833[/C][C]0.576[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-2:0.6[/C][C]0.163[/C][C]-0.627[/C][C]0.954[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-2:0.6[/C][C]0.154[/C][C]-0.536[/C][C]0.844[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-2:0.6[/C][C]0[/C][C]-0.69[/C][C]0.69[/C][C]1[/C][/ROW]
[ROW][C]4:0.6-3:0.6[/C][C]0.115[/C][C]-0.753[/C][C]0.984[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-3:0.6[/C][C]-0.167[/C][C]-1.046[/C][C]0.713[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-3:0.6[/C][C]0.125[/C][C]-0.825[/C][C]1.075[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-3:0.6[/C][C]0.115[/C][C]-0.753[/C][C]0.984[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-3:0.6[/C][C]-0.038[/C][C]-0.907[/C][C]0.83[/C][C]1[/C][/ROW]
[ROW][C]1:0.8-4:0.6[/C][C]-0.282[/C][C]-0.986[/C][C]0.422[/C][C]0.991[/C][/ROW]
[ROW][C]2:0.8-4:0.6[/C][C]0.01[/C][C]-0.781[/C][C]0.8[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-4:0.6[/C][C]0[/C][C]-0.69[/C][C]0.69[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-4:0.6[/C][C]-0.154[/C][C]-0.844[/C][C]0.536[/C][C]1[/C][/ROW]
[ROW][C]2:0.8-1:0.8[/C][C]0.292[/C][C]-0.512[/C][C]1.095[/C][C]0.997[/C][/ROW]
[ROW][C]3:0.8-1:0.8[/C][C]0.282[/C][C]-0.422[/C][C]0.986[/C][C]0.991[/C][/ROW]
[ROW][C]4:0.8-1:0.8[/C][C]0.128[/C][C]-0.576[/C][C]0.833[/C][C]1[/C][/ROW]
[ROW][C]3:0.8-2:0.8[/C][C]-0.01[/C][C]-0.8[/C][C]0.781[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-2:0.8[/C][C]-0.163[/C][C]-0.954[/C][C]0.627[/C][C]1[/C][/ROW]
[ROW][C]4:0.8-3:0.8[/C][C]-0.154[/C][C]-0.844[/C][C]0.536[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234656&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234656&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	0.152	-0.122	0.426	0.475
3-1	0.022	-0.252	0.295	0.997
4-1	0.043	-0.23	0.317	0.976
3-2	-0.13	-0.404	0.143	0.604
4-2	-0.109	-0.382	0.165	0.732
4-3	0.022	-0.252	0.295	0.997
0.4-0.2	0.095	-0.179	0.368	0.807
0.6-0.2	0.133	-0.14	0.407	0.587
0.8-0.2	0.103	-0.171	0.377	0.763
0.6-0.4	0.039	-0.235	0.312	0.983
0.8-0.4	0.009	-0.265	0.282	1
0.8-0.6	-0.03	-0.304	0.243	0.992
2:0.2-1:0.2	0.038	-0.752	0.829	1
3:0.2-1:0.2	-0.167	-0.97	0.637	1
4:0.2-1:0.2	-0.192	-0.983	0.598	1
1:0.4-1:0.2	-0.167	-0.97	0.637	1
2:0.4-1:0.2	0.25	-0.553	1.053	0.999
3:0.4-1:0.2	-0.1	-0.87	0.67	1
4:0.4-1:0.2	0.071	-0.839	0.982	1
1:0.6-1:0.2	0.071	-0.708	0.851	1
2:0.6-1:0.2	-0.038	-0.829	0.752	1
3:0.6-1:0.2	0	-0.95	0.95	1
4:0.6-1:0.2	0.115	-0.675	0.906	1
1:0.8-1:0.2	-0.167	-0.97	0.637	1
2:0.8-1:0.2	0.125	-0.755	1.005	1
3:0.8-1:0.2	0.115	-0.675	0.906	1
4:0.8-1:0.2	-0.038	-0.829	0.752	1
3:0.2-2:0.2	-0.205	-0.91	0.499	1
4:0.2-2:0.2	-0.231	-0.921	0.459	0.999
1:0.4-2:0.2	-0.205	-0.91	0.499	1
2:0.4-2:0.2	0.212	-0.493	0.916	1
3:0.4-2:0.2	-0.138	-0.805	0.528	1
4:0.4-2:0.2	0.033	-0.792	0.858	1
1:0.6-2:0.2	0.033	-0.645	0.711	1
2:0.6-2:0.2	-0.077	-0.767	0.613	1
3:0.6-2:0.2	-0.038	-0.907	0.83	1
4:0.6-2:0.2	0.077	-0.613	0.767	1
1:0.8-2:0.2	-0.205	-0.91	0.499	1
2:0.8-2:0.2	0.087	-0.704	0.877	1
3:0.8-2:0.2	0.077	-0.613	0.767	1
4:0.8-2:0.2	-0.077	-0.767	0.613	1
4:0.2-3:0.2	-0.026	-0.73	0.679	1
1:0.4-3:0.2	0	-0.718	0.718	1
2:0.4-3:0.2	0.417	-0.302	1.135	0.812
3:0.4-3:0.2	0.067	-0.615	0.748	1
4:0.4-3:0.2	0.238	-0.599	1.075	1
1:0.6-3:0.2	0.238	-0.454	0.93	0.998
2:0.6-3:0.2	0.128	-0.576	0.833	1
3:0.6-3:0.2	0.167	-0.713	1.046	1
4:0.6-3:0.2	0.282	-0.422	0.986	0.991
1:0.8-3:0.2	0	-0.718	0.718	1
2:0.8-3:0.2	0.292	-0.512	1.095	0.997
3:0.8-3:0.2	0.282	-0.422	0.986	0.991
4:0.8-3:0.2	0.128	-0.576	0.833	1
1:0.4-4:0.2	0.026	-0.679	0.73	1
2:0.4-4:0.2	0.442	-0.262	1.147	0.707
3:0.4-4:0.2	0.092	-0.574	0.759	1
4:0.4-4:0.2	0.264	-0.561	1.089	0.999
1:0.6-4:0.2	0.264	-0.414	0.941	0.993
2:0.6-4:0.2	0.154	-0.536	0.844	1
3:0.6-4:0.2	0.192	-0.676	1.061	1
4:0.6-4:0.2	0.308	-0.383	0.998	0.974
1:0.8-4:0.2	0.026	-0.679	0.73	1
2:0.8-4:0.2	0.317	-0.473	1.108	0.991
3:0.8-4:0.2	0.308	-0.383	0.998	0.974
4:0.8-4:0.2	0.154	-0.536	0.844	1
2:0.4-1:0.4	0.417	-0.302	1.135	0.812
3:0.4-1:0.4	0.067	-0.615	0.748	1
4:0.4-1:0.4	0.238	-0.599	1.075	1
1:0.6-1:0.4	0.238	-0.454	0.93	0.998
2:0.6-1:0.4	0.128	-0.576	0.833	1
3:0.6-1:0.4	0.167	-0.713	1.046	1
4:0.6-1:0.4	0.282	-0.422	0.986	0.991
1:0.8-1:0.4	0	-0.718	0.718	1
2:0.8-1:0.4	0.292	-0.512	1.095	0.997
3:0.8-1:0.4	0.282	-0.422	0.986	0.991
4:0.8-1:0.4	0.128	-0.576	0.833	1
3:0.4-2:0.4	-0.35	-1.032	0.332	0.918
4:0.4-2:0.4	-0.179	-1.015	0.658	1
1:0.6-2:0.4	-0.179	-0.871	0.514	1
2:0.6-2:0.4	-0.288	-0.993	0.416	0.988
3:0.6-2:0.4	-0.25	-1.13	0.63	1
4:0.6-2:0.4	-0.135	-0.839	0.57	1
1:0.8-2:0.4	-0.417	-1.135	0.302	0.812
2:0.8-2:0.4	-0.125	-0.928	0.678	1
3:0.8-2:0.4	-0.135	-0.839	0.57	1
4:0.8-2:0.4	-0.288	-0.993	0.416	0.988
4:0.4-3:0.4	0.171	-0.634	0.977	1
1:0.6-3:0.4	0.171	-0.482	0.825	1
2:0.6-3:0.4	0.062	-0.605	0.728	1
3:0.6-3:0.4	0.1	-0.75	0.95	1
4:0.6-3:0.4	0.215	-0.451	0.882	0.999
1:0.8-3:0.4	-0.067	-0.748	0.615	1
2:0.8-3:0.4	0.225	-0.545	0.995	1
3:0.8-3:0.4	0.215	-0.451	0.882	0.999
4:0.8-3:0.4	0.062	-0.605	0.728	1
1:0.6-4:0.4	0	-0.815	0.815	1
2:0.6-4:0.4	-0.11	-0.935	0.715	1
3:0.6-4:0.4	-0.071	-1.05	0.908	1
4:0.6-4:0.4	0.044	-0.781	0.869	1
1:0.8-4:0.4	-0.238	-1.075	0.599	1
2:0.8-4:0.4	0.054	-0.857	0.964	1
3:0.8-4:0.4	0.044	-0.781	0.869	1
4:0.8-4:0.4	-0.11	-0.935	0.715	1
2:0.6-1:0.6	-0.11	-0.788	0.568	1
3:0.6-1:0.6	-0.071	-0.93	0.787	1
4:0.6-1:0.6	0.044	-0.634	0.722	1
1:0.8-1:0.6	-0.238	-0.93	0.454	0.998
2:0.8-1:0.6	0.054	-0.726	0.833	1
3:0.8-1:0.6	0.044	-0.634	0.722	1
4:0.8-1:0.6	-0.11	-0.788	0.568	1
3:0.6-2:0.6	0.038	-0.83	0.907	1
4:0.6-2:0.6	0.154	-0.536	0.844	1
1:0.8-2:0.6	-0.128	-0.833	0.576	1
2:0.8-2:0.6	0.163	-0.627	0.954	1
3:0.8-2:0.6	0.154	-0.536	0.844	1
4:0.8-2:0.6	0	-0.69	0.69	1
4:0.6-3:0.6	0.115	-0.753	0.984	1
1:0.8-3:0.6	-0.167	-1.046	0.713	1
2:0.8-3:0.6	0.125	-0.825	1.075	1
3:0.8-3:0.6	0.115	-0.753	0.984	1
4:0.8-3:0.6	-0.038	-0.907	0.83	1
1:0.8-4:0.6	-0.282	-0.986	0.422	0.991
2:0.8-4:0.6	0.01	-0.781	0.8	1
3:0.8-4:0.6	0	-0.69	0.69	1
4:0.8-4:0.6	-0.154	-0.844	0.536	1
2:0.8-1:0.8	0.292	-0.512	1.095	0.997
3:0.8-1:0.8	0.282	-0.422	0.986	0.991
4:0.8-1:0.8	0.128	-0.576	0.833	1
3:0.8-2:0.8	-0.01	-0.8	0.781	1
4:0.8-2:0.8	-0.163	-0.954	0.627	1
4:0.8-3:0.8	-0.154	-0.844	0.536	1

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	15	0.239	0.999
	168

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 15 & 0.239 & 0.999 \tabularnewline
  & 168 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234656&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]15[/C][C]0.239[/C][C]0.999[/C][/ROW]
[ROW][C] [/C][C]168[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234656&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234656&T=4

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	15	0.239	0.999
	168

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 3 ; par2 = 1 ; par3 = 2 ; par4 = TRUE ;

Parameters (R input):

par1 = 3 ; par2 = 1 ; par3 = 2 ; par4 = TRUE ;

R code (references can be found in the software module):

cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
cat3 <- as.numeric(par3)
intercept<-as.logical(par4)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
f2 <- as.character(x[,cat3])
xdf<-data.frame(x1,f1, f2)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
(V3 <-dimnames(y)[[1]][cat3])
names(xdf)<-c('Response', 'Treatment_A', 'Treatment_B')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment_A * Treatment_B- 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment_A * Treatment_B, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
for(i in 1 : length(rownames(anova.xdf))-1){
a<-table.row.start(a)
a<-table.element(a,rownames(anova.xdf)[i] ,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[i], digits=3),,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$'Df'[i+1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment_A + Treatment_B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')
dev.off()
bitmap(file='designplot.png')
xdf2 <- xdf # to preserve xdf make copy for function
names(xdf2) <- c(V1, V2, V3)
plot.design(xdf2, main='Design Plot of Group Means')
dev.off()
bitmap(file='interactionplot.png')
interaction.plot(xdf$Treatment_A, xdf$Treatment_B, xdf$Response, xlab=V2, ylab=V1, trace.label=V3, main='Possible Interactions Between Anova Groups')
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
names(thsd) <- c(V2, V3, paste(V2, ':', V3, sep=''))
bitmap(file='TukeyHSDPlot.png')
layout(matrix(c(1,2,3,3), 2,2))
plot(thsd, las=1)
dev.off()
}
if(intercept==TRUE){
ntables<-length(names(thsd))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(nt in 1:ntables){
for(i in 1:length(rownames(thsd[[nt]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[nt]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[nt]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
} # end nt
a<-table.end(a)
table.save(a,file='hsdtable.tab')
}#end if hsd tables
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-levene.test(lmxdf)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,round(lt.lmxdf[[i]][1], digits=3), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code