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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationThu, 20 Dec 2012 11:31:08 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/20/t13560211207qbiw02l11e4s2k.htm/, Retrieved Thu, 25 Apr 2024 19:59:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=202869, Retrieved Thu, 25 Apr 2024 19:59:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Arabica Price in ...] [2008-01-05 23:14:31] [74be16979710d4c4e7c6647856088456]
- RMPD  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi 3 - 4 variables] [2012-11-11 20:35:55] [b952eaabb01bdc8fc50f908b86502128]
- R P     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi 4 - factor 3 & 4] [2012-11-11 20:39:38] [b952eaabb01bdc8fc50f908b86502128]
- R PD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Paper statistiek ...] [2012-12-15 17:54:08] [9f87ad58f325f963ff5b3a15384d509e]
- RMPD        [Multiple Regression] [Paper statistiek ...] [2012-12-20 14:16:04] [b952eaabb01bdc8fc50f908b86502128]
- RM D            [Two-Way ANOVA] [Paper statistiek ...] [2012-12-20 16:31:08] [fd3c35a156f52433b5d6e23e16a12a78] [Current]
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Dataseries X:
'2'	'1'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'2'	'2'	'2'	'1'
'1'	'2'	'1'	'1'
'1'	'1'	'1'	'1'
'1'	'2'	'1'	'1'
'2'	'2'	'1'	'1'
'2'	'1'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'4'	'1'
'2'	'1'	'1'	'1'
'1'	'2'	'4'	'1'
'1'	'1'	'4'	'1'
'2'	'1'	'4'	'2'
'2'	'1'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'1'	'4'	'2'
'2'	'2'	'2'	'1'
'2'	'2'	'4'	'1'
'1'	'2'	'2'	'1'
'2'	'2'	'2'	'1'
'1'	'1'	'3'	'1'
'1'	'2'	'4'	'1'
'2'	'2'	'1'	'1'
'1'	'2'	'3'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'2'	'1'
'1'	'2'	'1'	'1'
'2'	'2'	'1'	'1'
'2'	'2'	'2'	'1'
'1'	'1'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'2'	'1'	'4'	'1'
'1'	'2'	'3'	'1'
'1'	'2'	'2'	'1'
'1'	'1'	'2'	'1'
'1'	'2'	'4'	'2'
'1'	'2'	'3'	'1'
'2'	'2'	'2'	'1'
'2'	'1'	'1'	'1'
'1'	'2'	'2'	'1'
'1'	'2'	'2'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'2'	'1'
'1'	'2'	'1'	'1'
'1'	'1'	'3'	'1'
'2'	'1'	'4'	'2'
'1'	'2'	'1'	'1'
'1'	'2'	'3'	'2'
'1'	'2'	'1'	'1'
'1'	'1'	'3'	'1'
'1'	'2'	'4'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'2'	'1'	'4'	'2'
'2'	'1'	'1'	'1'
'1'	'2'	'4'	'1'
'1'	'2'	'1'	'1'
'2'	'1'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'1'	'4'	'2'
'2'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'3'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'3'	'1'
'2'	'2'	'3'	'1'
'1'	'2'	'1'	'1'
'1'	'1'	'2'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'4'	'1'
'1'	'1'	'3'	'2'
'1'	'1'	'2'	'1'
'1'	'2'	'1'	'1'
'2'	'2'	'3'	'1'
'1'	'2'	'1'	'1'
'1'	'2'	'3'	'2'
'1'	'2'	'2'	'1'
'2'	'2'	'1'	'1'
'2'	'4'	'1'	'1'
'2'	'3'	'3'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'2'	'1'
'2'	'3'	'1'	'1'
'2'	'4'	'2'	'1'
'1'	'4'	'1'	'1'
'1'	'3'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'3'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'3'	'3'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'3'	'3'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'2'	'3'	'4'	'1'
'1'	'3'	'1'	'1'
'1'	'4'	'3'	'1'
'2'	'3'	'3'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'3'	'3'	'1'
'1'	'4'	'4'	'1'
'1'	'4'	'1'	'1'
'1'	'3'	'1'	'1'
'1'	'4'	'2'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'2'	'4'	'1'	'1'
'2'	'4'	'3'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'4'	'1'
'2'	'3'	'4'	'1'
'1'	'3'	'1'	'1'
'1'	'4'	'1'	'1'
'1'	'4'	'3'	'2'
'1'	'3'	'3'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'2'	'1'
'1'	'4'	'2'	'1'
'1'	'3'	'1'	'1'
'1'	'3'	'3'	'1'
'1'	'3'	'1'	'1'
'2'	'4'	'1'	'1'
'1'	'4'	'2'	'1'
'1'	'4'	'1'	'1'
'2'	'4'	'3'	'2'
'2'	'4'	'4'	'2'
'2'	'4'	'3'	'1'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202869&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202869&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202869&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







ANOVA Model
Response ~ Treatment_A * Treatment_B
means100000.250.7140NA0-0.028-0.250.15-0.589-0.714-0.381

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline Response ~ Treatment_A * Treatment_B \tabularnewline means & 1 & 0 & 0 & 0 & 0 & 0.25 & 0.714 & 0 & NA & 0 & -0.028 & -0.25 & 0.15 & -0.589 & -0.714 & -0.381 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=202869&T=1

[TABLE]
[ROW]
ANOVA Model[/C][/ROW] [ROW]Response ~ Treatment_A * Treatment_B[/C][/ROW] [ROW][C]means[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0.25[/C][C]0.714[/C][C]0[/C][C]NA[/C][C]0[/C][C]-0.028[/C][C]-0.25[/C][C]0.15[/C][C]-0.589[/C][C]-0.714[/C][C]-0.381[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=202869&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202869&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
means100000.250.7140NA0-0.028-0.250.15-0.589-0.714-0.381







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
3
Treatment_A30.9490.3166.7930
Treatment_B32.2350.74515.9930
Treatment_A:Treatment_B31.4040.1763.7680.001
Residuals1396.4760.047

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 3 &  &  &  &  \tabularnewline
Treatment_A & 3 & 0.949 & 0.316 & 6.793 & 0 \tabularnewline
Treatment_B & 3 & 2.235 & 0.745 & 15.993 & 0 \tabularnewline
Treatment_A:Treatment_B & 3 & 1.404 & 0.176 & 3.768 & 0.001 \tabularnewline
Residuals & 139 & 6.476 & 0.047 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202869&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]0.949[/C][C]0.316[/C][C]6.793[/C][C]0[/C][/ROW]
[ROW][C]Treatment_B[/C][C]3[/C][C]2.235[/C][C]0.745[/C][C]15.993[/C][C]0[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]3[/C][C]1.404[/C][C]0.176[/C][C]3.768[/C][C]0.001[/C][/ROW]
[ROW][C]Residuals[/C][C]139[/C][C]6.476[/C][C]0.047[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202869&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202869&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
DfSum SqMean SqF valuePr(>F)
3
Treatment_A30.9490.3166.7930
Treatment_B32.2350.74515.9930
Treatment_A:Treatment_B31.4040.1763.7680.001
Residuals1396.4760.047







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.213-0.35-0.0770
3-1-0.261-0.44-0.0810.001
4-1-0.202-0.343-0.0610.002
3-2-0.048-0.2010.1060.851
4-20.011-0.0950.1170.993
4-30.059-0.0980.2160.765
2-1-0.011-0.1480.1250.996
3-10.1990.0720.3260
4-10.3010.1620.440
3-20.2110.0440.3770.007
4-20.3120.1370.4870
4-30.101-0.0670.270.401
2:1-1:10-0.2820.2821
3:1-1:10-0.3660.3661
4:1-1:10-0.280.281
1:2-1:10-0.5020.5021
2:2-1:10-0.3320.3321
3:2-1:1NANANANA
4:2-1:10-0.3970.3971
1:3-1:10.25-0.2030.7030.859
2:3-1:10.222-0.1330.5770.707
3:3-1:10-0.380.381
4:3-1:10.4-0.020.820.081
1:4-1:10.7140.3351.0940
2:4-1:10.125-0.2410.4910.998
3:4-1:10-0.5890.5891
4:4-1:10.333-0.1690.8360.612
3:1-2:10-0.2960.2961
4:1-2:10-0.1790.1791
1:2-2:10-0.4540.4541
2:2-2:10-0.2530.2531
3:2-2:1NANANANA
4:2-2:10-0.3340.3341
1:3-2:10.25-0.1480.6480.702
2:3-2:10.222-0.060.5050.313
3:3-2:10-0.3130.3131
4:3-2:10.40.0390.7610.015
1:4-2:10.7140.4021.0270
2:4-2:10.125-0.1710.4210.984
3:4-2:10-0.5480.5481
4:4-2:10.333-0.120.7870.432
4:1-3:10-0.2940.2941
1:2-3:10-0.510.511
2:2-3:10-0.3440.3441
3:2-3:1NANANANA
4:2-3:10-0.4070.4071
1:3-3:10.25-0.2110.7110.875
2:3-3:10.222-0.1440.5880.75
3:3-3:10-0.390.391
4:3-3:10.4-0.0290.8290.098
1:4-3:10.7140.3241.1040
2:4-3:10.125-0.2520.5020.999
3:4-3:10-0.5960.5961
4:4-3:10.333-0.1770.8430.638
1:2-4:10-0.4520.4521
2:2-4:10-0.250.251
3:2-4:1NANANANA
4:2-4:10-0.3320.3321
1:3-4:10.25-0.1460.6460.695
2:3-4:10.222-0.0580.5020.299
3:3-4:10-0.310.311
4:3-4:10.40.0410.7590.014
1:4-4:10.7140.4041.0250
2:4-4:10.125-0.1690.4190.983
3:4-4:10-0.5470.5471
4:4-4:10.333-0.1190.7860.426
2:2-1:20-0.4860.4861
3:2-1:2NANANANA
4:2-1:20-0.5330.5331
1:3-1:20.25-0.3250.8250.979
2:3-1:20.222-0.280.7240.975
3:3-1:20-0.520.521
4:3-1:20.4-0.150.950.451
1:4-1:20.7140.1941.2340
2:4-1:20.125-0.3850.6351
3:4-1:20-0.6880.6881
4:4-1:20.333-0.2820.9480.875
3:2-2:2NANANANA
4:2-2:20-0.3770.3771
1:3-2:20.25-0.1850.6850.818
2:3-2:20.222-0.110.5540.599
3:3-2:20-0.3580.3581
4:3-2:20.4-0.0010.8010.051
1:4-2:20.7140.3561.0730
2:4-2:20.125-0.2190.4690.996
3:4-2:20-0.5750.5751
4:4-2:20.333-0.1530.820.556
4:2-3:2NANANANA
1:3-3:2NANANANA
2:3-3:2NANANANA
3:3-3:2NANANANA
4:3-3:2NANANANA
1:4-3:2NANANANA
2:4-3:2NANANANA
3:4-3:2NANANANA
4:4-3:2NANANANA
1:3-4:20.25-0.2360.7360.914
2:3-4:20.222-0.1750.6190.846
3:3-4:20-0.4190.4191
4:3-4:20.4-0.0560.8560.159
1:4-4:20.7140.2951.1330
2:4-4:20.125-0.2820.5320.999
3:4-4:20-0.6150.6151
4:4-4:20.333-0.1990.8660.707
2:3-1:3-0.028-0.480.4251
3:3-1:3-0.25-0.7220.2220.894
4:3-1:30.15-0.3550.6551
1:4-1:30.464-0.0080.9360.059
2:4-1:3-0.125-0.5860.3361
3:4-1:3-0.25-0.9020.4020.994
4:4-1:30.083-0.4920.6591
3:3-2:3-0.222-0.6020.1570.797
4:3-2:30.178-0.2420.5980.983
1:4-2:30.4920.1120.8720.001
2:4-2:3-0.097-0.4630.2691
3:4-2:3-0.222-0.8110.3670.995
4:4-2:30.111-0.3910.6131
4:3-3:30.4-0.0410.8410.123
1:4-3:30.7140.3121.1170
2:4-3:30.125-0.2650.5150.999
3:4-3:30-0.6040.6041
4:4-3:30.333-0.1860.8530.669
1:4-4:30.314-0.1270.7550.487
2:4-4:3-0.275-0.7040.1540.671
3:4-4:3-0.4-1.030.230.685
4:4-4:3-0.067-0.6170.4831
2:4-1:4-0.589-0.979-0.1990
3:4-1:4-0.714-1.318-0.110.006
4:4-1:4-0.381-0.9010.1390.437
3:4-2:4-0.125-0.7210.4711
4:4-2:40.208-0.3020.7180.988
4:4-3:40.333-0.3541.0210.946

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -0.213 & -0.35 & -0.077 & 0 \tabularnewline
3-1 & -0.261 & -0.44 & -0.081 & 0.001 \tabularnewline
4-1 & -0.202 & -0.343 & -0.061 & 0.002 \tabularnewline
3-2 & -0.048 & -0.201 & 0.106 & 0.851 \tabularnewline
4-2 & 0.011 & -0.095 & 0.117 & 0.993 \tabularnewline
4-3 & 0.059 & -0.098 & 0.216 & 0.765 \tabularnewline
2-1 & -0.011 & -0.148 & 0.125 & 0.996 \tabularnewline
3-1 & 0.199 & 0.072 & 0.326 & 0 \tabularnewline
4-1 & 0.301 & 0.162 & 0.44 & 0 \tabularnewline
3-2 & 0.211 & 0.044 & 0.377 & 0.007 \tabularnewline
4-2 & 0.312 & 0.137 & 0.487 & 0 \tabularnewline
4-3 & 0.101 & -0.067 & 0.27 & 0.401 \tabularnewline
2:1-1:1 & 0 & -0.282 & 0.282 & 1 \tabularnewline
3:1-1:1 & 0 & -0.366 & 0.366 & 1 \tabularnewline
4:1-1:1 & 0 & -0.28 & 0.28 & 1 \tabularnewline
1:2-1:1 & 0 & -0.502 & 0.502 & 1 \tabularnewline
2:2-1:1 & 0 & -0.332 & 0.332 & 1 \tabularnewline
3:2-1:1 & NA & NA & NA & NA \tabularnewline
4:2-1:1 & 0 & -0.397 & 0.397 & 1 \tabularnewline
1:3-1:1 & 0.25 & -0.203 & 0.703 & 0.859 \tabularnewline
2:3-1:1 & 0.222 & -0.133 & 0.577 & 0.707 \tabularnewline
3:3-1:1 & 0 & -0.38 & 0.38 & 1 \tabularnewline
4:3-1:1 & 0.4 & -0.02 & 0.82 & 0.081 \tabularnewline
1:4-1:1 & 0.714 & 0.335 & 1.094 & 0 \tabularnewline
2:4-1:1 & 0.125 & -0.241 & 0.491 & 0.998 \tabularnewline
3:4-1:1 & 0 & -0.589 & 0.589 & 1 \tabularnewline
4:4-1:1 & 0.333 & -0.169 & 0.836 & 0.612 \tabularnewline
3:1-2:1 & 0 & -0.296 & 0.296 & 1 \tabularnewline
4:1-2:1 & 0 & -0.179 & 0.179 & 1 \tabularnewline
1:2-2:1 & 0 & -0.454 & 0.454 & 1 \tabularnewline
2:2-2:1 & 0 & -0.253 & 0.253 & 1 \tabularnewline
3:2-2:1 & NA & NA & NA & NA \tabularnewline
4:2-2:1 & 0 & -0.334 & 0.334 & 1 \tabularnewline
1:3-2:1 & 0.25 & -0.148 & 0.648 & 0.702 \tabularnewline
2:3-2:1 & 0.222 & -0.06 & 0.505 & 0.313 \tabularnewline
3:3-2:1 & 0 & -0.313 & 0.313 & 1 \tabularnewline
4:3-2:1 & 0.4 & 0.039 & 0.761 & 0.015 \tabularnewline
1:4-2:1 & 0.714 & 0.402 & 1.027 & 0 \tabularnewline
2:4-2:1 & 0.125 & -0.171 & 0.421 & 0.984 \tabularnewline
3:4-2:1 & 0 & -0.548 & 0.548 & 1 \tabularnewline
4:4-2:1 & 0.333 & -0.12 & 0.787 & 0.432 \tabularnewline
4:1-3:1 & 0 & -0.294 & 0.294 & 1 \tabularnewline
1:2-3:1 & 0 & -0.51 & 0.51 & 1 \tabularnewline
2:2-3:1 & 0 & -0.344 & 0.344 & 1 \tabularnewline
3:2-3:1 & NA & NA & NA & NA \tabularnewline
4:2-3:1 & 0 & -0.407 & 0.407 & 1 \tabularnewline
1:3-3:1 & 0.25 & -0.211 & 0.711 & 0.875 \tabularnewline
2:3-3:1 & 0.222 & -0.144 & 0.588 & 0.75 \tabularnewline
3:3-3:1 & 0 & -0.39 & 0.39 & 1 \tabularnewline
4:3-3:1 & 0.4 & -0.029 & 0.829 & 0.098 \tabularnewline
1:4-3:1 & 0.714 & 0.324 & 1.104 & 0 \tabularnewline
2:4-3:1 & 0.125 & -0.252 & 0.502 & 0.999 \tabularnewline
3:4-3:1 & 0 & -0.596 & 0.596 & 1 \tabularnewline
4:4-3:1 & 0.333 & -0.177 & 0.843 & 0.638 \tabularnewline
1:2-4:1 & 0 & -0.452 & 0.452 & 1 \tabularnewline
2:2-4:1 & 0 & -0.25 & 0.25 & 1 \tabularnewline
3:2-4:1 & NA & NA & NA & NA \tabularnewline
4:2-4:1 & 0 & -0.332 & 0.332 & 1 \tabularnewline
1:3-4:1 & 0.25 & -0.146 & 0.646 & 0.695 \tabularnewline
2:3-4:1 & 0.222 & -0.058 & 0.502 & 0.299 \tabularnewline
3:3-4:1 & 0 & -0.31 & 0.31 & 1 \tabularnewline
4:3-4:1 & 0.4 & 0.041 & 0.759 & 0.014 \tabularnewline
1:4-4:1 & 0.714 & 0.404 & 1.025 & 0 \tabularnewline
2:4-4:1 & 0.125 & -0.169 & 0.419 & 0.983 \tabularnewline
3:4-4:1 & 0 & -0.547 & 0.547 & 1 \tabularnewline
4:4-4:1 & 0.333 & -0.119 & 0.786 & 0.426 \tabularnewline
2:2-1:2 & 0 & -0.486 & 0.486 & 1 \tabularnewline
3:2-1:2 & NA & NA & NA & NA \tabularnewline
4:2-1:2 & 0 & -0.533 & 0.533 & 1 \tabularnewline
1:3-1:2 & 0.25 & -0.325 & 0.825 & 0.979 \tabularnewline
2:3-1:2 & 0.222 & -0.28 & 0.724 & 0.975 \tabularnewline
3:3-1:2 & 0 & -0.52 & 0.52 & 1 \tabularnewline
4:3-1:2 & 0.4 & -0.15 & 0.95 & 0.451 \tabularnewline
1:4-1:2 & 0.714 & 0.194 & 1.234 & 0 \tabularnewline
2:4-1:2 & 0.125 & -0.385 & 0.635 & 1 \tabularnewline
3:4-1:2 & 0 & -0.688 & 0.688 & 1 \tabularnewline
4:4-1:2 & 0.333 & -0.282 & 0.948 & 0.875 \tabularnewline
3:2-2:2 & NA & NA & NA & NA \tabularnewline
4:2-2:2 & 0 & -0.377 & 0.377 & 1 \tabularnewline
1:3-2:2 & 0.25 & -0.185 & 0.685 & 0.818 \tabularnewline
2:3-2:2 & 0.222 & -0.11 & 0.554 & 0.599 \tabularnewline
3:3-2:2 & 0 & -0.358 & 0.358 & 1 \tabularnewline
4:3-2:2 & 0.4 & -0.001 & 0.801 & 0.051 \tabularnewline
1:4-2:2 & 0.714 & 0.356 & 1.073 & 0 \tabularnewline
2:4-2:2 & 0.125 & -0.219 & 0.469 & 0.996 \tabularnewline
3:4-2:2 & 0 & -0.575 & 0.575 & 1 \tabularnewline
4:4-2:2 & 0.333 & -0.153 & 0.82 & 0.556 \tabularnewline
4:2-3:2 & NA & NA & NA & NA \tabularnewline
1:3-3:2 & NA & NA & NA & NA \tabularnewline
2:3-3:2 & NA & NA & NA & NA \tabularnewline
3:3-3:2 & NA & NA & NA & NA \tabularnewline
4:3-3:2 & NA & NA & NA & NA \tabularnewline
1:4-3:2 & NA & NA & NA & NA \tabularnewline
2:4-3:2 & NA & NA & NA & NA \tabularnewline
3:4-3:2 & NA & NA & NA & NA \tabularnewline
4:4-3:2 & NA & NA & NA & NA \tabularnewline
1:3-4:2 & 0.25 & -0.236 & 0.736 & 0.914 \tabularnewline
2:3-4:2 & 0.222 & -0.175 & 0.619 & 0.846 \tabularnewline
3:3-4:2 & 0 & -0.419 & 0.419 & 1 \tabularnewline
4:3-4:2 & 0.4 & -0.056 & 0.856 & 0.159 \tabularnewline
1:4-4:2 & 0.714 & 0.295 & 1.133 & 0 \tabularnewline
2:4-4:2 & 0.125 & -0.282 & 0.532 & 0.999 \tabularnewline
3:4-4:2 & 0 & -0.615 & 0.615 & 1 \tabularnewline
4:4-4:2 & 0.333 & -0.199 & 0.866 & 0.707 \tabularnewline
2:3-1:3 & -0.028 & -0.48 & 0.425 & 1 \tabularnewline
3:3-1:3 & -0.25 & -0.722 & 0.222 & 0.894 \tabularnewline
4:3-1:3 & 0.15 & -0.355 & 0.655 & 1 \tabularnewline
1:4-1:3 & 0.464 & -0.008 & 0.936 & 0.059 \tabularnewline
2:4-1:3 & -0.125 & -0.586 & 0.336 & 1 \tabularnewline
3:4-1:3 & -0.25 & -0.902 & 0.402 & 0.994 \tabularnewline
4:4-1:3 & 0.083 & -0.492 & 0.659 & 1 \tabularnewline
3:3-2:3 & -0.222 & -0.602 & 0.157 & 0.797 \tabularnewline
4:3-2:3 & 0.178 & -0.242 & 0.598 & 0.983 \tabularnewline
1:4-2:3 & 0.492 & 0.112 & 0.872 & 0.001 \tabularnewline
2:4-2:3 & -0.097 & -0.463 & 0.269 & 1 \tabularnewline
3:4-2:3 & -0.222 & -0.811 & 0.367 & 0.995 \tabularnewline
4:4-2:3 & 0.111 & -0.391 & 0.613 & 1 \tabularnewline
4:3-3:3 & 0.4 & -0.041 & 0.841 & 0.123 \tabularnewline
1:4-3:3 & 0.714 & 0.312 & 1.117 & 0 \tabularnewline
2:4-3:3 & 0.125 & -0.265 & 0.515 & 0.999 \tabularnewline
3:4-3:3 & 0 & -0.604 & 0.604 & 1 \tabularnewline
4:4-3:3 & 0.333 & -0.186 & 0.853 & 0.669 \tabularnewline
1:4-4:3 & 0.314 & -0.127 & 0.755 & 0.487 \tabularnewline
2:4-4:3 & -0.275 & -0.704 & 0.154 & 0.671 \tabularnewline
3:4-4:3 & -0.4 & -1.03 & 0.23 & 0.685 \tabularnewline
4:4-4:3 & -0.067 & -0.617 & 0.483 & 1 \tabularnewline
2:4-1:4 & -0.589 & -0.979 & -0.199 & 0 \tabularnewline
3:4-1:4 & -0.714 & -1.318 & -0.11 & 0.006 \tabularnewline
4:4-1:4 & -0.381 & -0.901 & 0.139 & 0.437 \tabularnewline
3:4-2:4 & -0.125 & -0.721 & 0.471 & 1 \tabularnewline
4:4-2:4 & 0.208 & -0.302 & 0.718 & 0.988 \tabularnewline
4:4-3:4 & 0.333 & -0.354 & 1.021 & 0.946 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202869&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]-0.213[/C][C]-0.35[/C][C]-0.077[/C][C]0[/C][/ROW]
[ROW][C]3-1[/C][C]-0.261[/C][C]-0.44[/C][C]-0.081[/C][C]0.001[/C][/ROW]
[ROW][C]4-1[/C][C]-0.202[/C][C]-0.343[/C][C]-0.061[/C][C]0.002[/C][/ROW]
[ROW][C]3-2[/C][C]-0.048[/C][C]-0.201[/C][C]0.106[/C][C]0.851[/C][/ROW]
[ROW][C]4-2[/C][C]0.011[/C][C]-0.095[/C][C]0.117[/C][C]0.993[/C][/ROW]
[ROW][C]4-3[/C][C]0.059[/C][C]-0.098[/C][C]0.216[/C][C]0.765[/C][/ROW]
[ROW][C]2-1[/C][C]-0.011[/C][C]-0.148[/C][C]0.125[/C][C]0.996[/C][/ROW]
[ROW][C]3-1[/C][C]0.199[/C][C]0.072[/C][C]0.326[/C][C]0[/C][/ROW]
[ROW][C]4-1[/C][C]0.301[/C][C]0.162[/C][C]0.44[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]0.211[/C][C]0.044[/C][C]0.377[/C][C]0.007[/C][/ROW]
[ROW][C]4-2[/C][C]0.312[/C][C]0.137[/C][C]0.487[/C][C]0[/C][/ROW]
[ROW][C]4-3[/C][C]0.101[/C][C]-0.067[/C][C]0.27[/C][C]0.401[/C][/ROW]
[ROW][C]2:1-1:1[/C][C]0[/C][C]-0.282[/C][C]0.282[/C][C]1[/C][/ROW]
[ROW][C]3:1-1:1[/C][C]0[/C][C]-0.366[/C][C]0.366[/C][C]1[/C][/ROW]
[ROW][C]4:1-1:1[/C][C]0[/C][C]-0.28[/C][C]0.28[/C][C]1[/C][/ROW]
[ROW][C]1:2-1:1[/C][C]0[/C][C]-0.502[/C][C]0.502[/C][C]1[/C][/ROW]
[ROW][C]2:2-1:1[/C][C]0[/C][C]-0.332[/C][C]0.332[/C][C]1[/C][/ROW]
[ROW][C]3:2-1:1[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:2-1:1[/C][C]0[/C][C]-0.397[/C][C]0.397[/C][C]1[/C][/ROW]
[ROW][C]1:3-1:1[/C][C]0.25[/C][C]-0.203[/C][C]0.703[/C][C]0.859[/C][/ROW]
[ROW][C]2:3-1:1[/C][C]0.222[/C][C]-0.133[/C][C]0.577[/C][C]0.707[/C][/ROW]
[ROW][C]3:3-1:1[/C][C]0[/C][C]-0.38[/C][C]0.38[/C][C]1[/C][/ROW]
[ROW][C]4:3-1:1[/C][C]0.4[/C][C]-0.02[/C][C]0.82[/C][C]0.081[/C][/ROW]
[ROW][C]1:4-1:1[/C][C]0.714[/C][C]0.335[/C][C]1.094[/C][C]0[/C][/ROW]
[ROW][C]2:4-1:1[/C][C]0.125[/C][C]-0.241[/C][C]0.491[/C][C]0.998[/C][/ROW]
[ROW][C]3:4-1:1[/C][C]0[/C][C]-0.589[/C][C]0.589[/C][C]1[/C][/ROW]
[ROW][C]4:4-1:1[/C][C]0.333[/C][C]-0.169[/C][C]0.836[/C][C]0.612[/C][/ROW]
[ROW][C]3:1-2:1[/C][C]0[/C][C]-0.296[/C][C]0.296[/C][C]1[/C][/ROW]
[ROW][C]4:1-2:1[/C][C]0[/C][C]-0.179[/C][C]0.179[/C][C]1[/C][/ROW]
[ROW][C]1:2-2:1[/C][C]0[/C][C]-0.454[/C][C]0.454[/C][C]1[/C][/ROW]
[ROW][C]2:2-2:1[/C][C]0[/C][C]-0.253[/C][C]0.253[/C][C]1[/C][/ROW]
[ROW][C]3:2-2:1[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:2-2:1[/C][C]0[/C][C]-0.334[/C][C]0.334[/C][C]1[/C][/ROW]
[ROW][C]1:3-2:1[/C][C]0.25[/C][C]-0.148[/C][C]0.648[/C][C]0.702[/C][/ROW]
[ROW][C]2:3-2:1[/C][C]0.222[/C][C]-0.06[/C][C]0.505[/C][C]0.313[/C][/ROW]
[ROW][C]3:3-2:1[/C][C]0[/C][C]-0.313[/C][C]0.313[/C][C]1[/C][/ROW]
[ROW][C]4:3-2:1[/C][C]0.4[/C][C]0.039[/C][C]0.761[/C][C]0.015[/C][/ROW]
[ROW][C]1:4-2:1[/C][C]0.714[/C][C]0.402[/C][C]1.027[/C][C]0[/C][/ROW]
[ROW][C]2:4-2:1[/C][C]0.125[/C][C]-0.171[/C][C]0.421[/C][C]0.984[/C][/ROW]
[ROW][C]3:4-2:1[/C][C]0[/C][C]-0.548[/C][C]0.548[/C][C]1[/C][/ROW]
[ROW][C]4:4-2:1[/C][C]0.333[/C][C]-0.12[/C][C]0.787[/C][C]0.432[/C][/ROW]
[ROW][C]4:1-3:1[/C][C]0[/C][C]-0.294[/C][C]0.294[/C][C]1[/C][/ROW]
[ROW][C]1:2-3:1[/C][C]0[/C][C]-0.51[/C][C]0.51[/C][C]1[/C][/ROW]
[ROW][C]2:2-3:1[/C][C]0[/C][C]-0.344[/C][C]0.344[/C][C]1[/C][/ROW]
[ROW][C]3:2-3:1[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:2-3:1[/C][C]0[/C][C]-0.407[/C][C]0.407[/C][C]1[/C][/ROW]
[ROW][C]1:3-3:1[/C][C]0.25[/C][C]-0.211[/C][C]0.711[/C][C]0.875[/C][/ROW]
[ROW][C]2:3-3:1[/C][C]0.222[/C][C]-0.144[/C][C]0.588[/C][C]0.75[/C][/ROW]
[ROW][C]3:3-3:1[/C][C]0[/C][C]-0.39[/C][C]0.39[/C][C]1[/C][/ROW]
[ROW][C]4:3-3:1[/C][C]0.4[/C][C]-0.029[/C][C]0.829[/C][C]0.098[/C][/ROW]
[ROW][C]1:4-3:1[/C][C]0.714[/C][C]0.324[/C][C]1.104[/C][C]0[/C][/ROW]
[ROW][C]2:4-3:1[/C][C]0.125[/C][C]-0.252[/C][C]0.502[/C][C]0.999[/C][/ROW]
[ROW][C]3:4-3:1[/C][C]0[/C][C]-0.596[/C][C]0.596[/C][C]1[/C][/ROW]
[ROW][C]4:4-3:1[/C][C]0.333[/C][C]-0.177[/C][C]0.843[/C][C]0.638[/C][/ROW]
[ROW][C]1:2-4:1[/C][C]0[/C][C]-0.452[/C][C]0.452[/C][C]1[/C][/ROW]
[ROW][C]2:2-4:1[/C][C]0[/C][C]-0.25[/C][C]0.25[/C][C]1[/C][/ROW]
[ROW][C]3:2-4:1[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:2-4:1[/C][C]0[/C][C]-0.332[/C][C]0.332[/C][C]1[/C][/ROW]
[ROW][C]1:3-4:1[/C][C]0.25[/C][C]-0.146[/C][C]0.646[/C][C]0.695[/C][/ROW]
[ROW][C]2:3-4:1[/C][C]0.222[/C][C]-0.058[/C][C]0.502[/C][C]0.299[/C][/ROW]
[ROW][C]3:3-4:1[/C][C]0[/C][C]-0.31[/C][C]0.31[/C][C]1[/C][/ROW]
[ROW][C]4:3-4:1[/C][C]0.4[/C][C]0.041[/C][C]0.759[/C][C]0.014[/C][/ROW]
[ROW][C]1:4-4:1[/C][C]0.714[/C][C]0.404[/C][C]1.025[/C][C]0[/C][/ROW]
[ROW][C]2:4-4:1[/C][C]0.125[/C][C]-0.169[/C][C]0.419[/C][C]0.983[/C][/ROW]
[ROW][C]3:4-4:1[/C][C]0[/C][C]-0.547[/C][C]0.547[/C][C]1[/C][/ROW]
[ROW][C]4:4-4:1[/C][C]0.333[/C][C]-0.119[/C][C]0.786[/C][C]0.426[/C][/ROW]
[ROW][C]2:2-1:2[/C][C]0[/C][C]-0.486[/C][C]0.486[/C][C]1[/C][/ROW]
[ROW][C]3:2-1:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:2-1:2[/C][C]0[/C][C]-0.533[/C][C]0.533[/C][C]1[/C][/ROW]
[ROW][C]1:3-1:2[/C][C]0.25[/C][C]-0.325[/C][C]0.825[/C][C]0.979[/C][/ROW]
[ROW][C]2:3-1:2[/C][C]0.222[/C][C]-0.28[/C][C]0.724[/C][C]0.975[/C][/ROW]
[ROW][C]3:3-1:2[/C][C]0[/C][C]-0.52[/C][C]0.52[/C][C]1[/C][/ROW]
[ROW][C]4:3-1:2[/C][C]0.4[/C][C]-0.15[/C][C]0.95[/C][C]0.451[/C][/ROW]
[ROW][C]1:4-1:2[/C][C]0.714[/C][C]0.194[/C][C]1.234[/C][C]0[/C][/ROW]
[ROW][C]2:4-1:2[/C][C]0.125[/C][C]-0.385[/C][C]0.635[/C][C]1[/C][/ROW]
[ROW][C]3:4-1:2[/C][C]0[/C][C]-0.688[/C][C]0.688[/C][C]1[/C][/ROW]
[ROW][C]4:4-1:2[/C][C]0.333[/C][C]-0.282[/C][C]0.948[/C][C]0.875[/C][/ROW]
[ROW][C]3:2-2:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:2-2:2[/C][C]0[/C][C]-0.377[/C][C]0.377[/C][C]1[/C][/ROW]
[ROW][C]1:3-2:2[/C][C]0.25[/C][C]-0.185[/C][C]0.685[/C][C]0.818[/C][/ROW]
[ROW][C]2:3-2:2[/C][C]0.222[/C][C]-0.11[/C][C]0.554[/C][C]0.599[/C][/ROW]
[ROW][C]3:3-2:2[/C][C]0[/C][C]-0.358[/C][C]0.358[/C][C]1[/C][/ROW]
[ROW][C]4:3-2:2[/C][C]0.4[/C][C]-0.001[/C][C]0.801[/C][C]0.051[/C][/ROW]
[ROW][C]1:4-2:2[/C][C]0.714[/C][C]0.356[/C][C]1.073[/C][C]0[/C][/ROW]
[ROW][C]2:4-2:2[/C][C]0.125[/C][C]-0.219[/C][C]0.469[/C][C]0.996[/C][/ROW]
[ROW][C]3:4-2:2[/C][C]0[/C][C]-0.575[/C][C]0.575[/C][C]1[/C][/ROW]
[ROW][C]4:4-2:2[/C][C]0.333[/C][C]-0.153[/C][C]0.82[/C][C]0.556[/C][/ROW]
[ROW][C]4:2-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]1:3-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]2:3-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]3:3-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:3-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]1:4-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]2:4-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]3:4-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]4:4-3:2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]1:3-4:2[/C][C]0.25[/C][C]-0.236[/C][C]0.736[/C][C]0.914[/C][/ROW]
[ROW][C]2:3-4:2[/C][C]0.222[/C][C]-0.175[/C][C]0.619[/C][C]0.846[/C][/ROW]
[ROW][C]3:3-4:2[/C][C]0[/C][C]-0.419[/C][C]0.419[/C][C]1[/C][/ROW]
[ROW][C]4:3-4:2[/C][C]0.4[/C][C]-0.056[/C][C]0.856[/C][C]0.159[/C][/ROW]
[ROW][C]1:4-4:2[/C][C]0.714[/C][C]0.295[/C][C]1.133[/C][C]0[/C][/ROW]
[ROW][C]2:4-4:2[/C][C]0.125[/C][C]-0.282[/C][C]0.532[/C][C]0.999[/C][/ROW]
[ROW][C]3:4-4:2[/C][C]0[/C][C]-0.615[/C][C]0.615[/C][C]1[/C][/ROW]
[ROW][C]4:4-4:2[/C][C]0.333[/C][C]-0.199[/C][C]0.866[/C][C]0.707[/C][/ROW]
[ROW][C]2:3-1:3[/C][C]-0.028[/C][C]-0.48[/C][C]0.425[/C][C]1[/C][/ROW]
[ROW][C]3:3-1:3[/C][C]-0.25[/C][C]-0.722[/C][C]0.222[/C][C]0.894[/C][/ROW]
[ROW][C]4:3-1:3[/C][C]0.15[/C][C]-0.355[/C][C]0.655[/C][C]1[/C][/ROW]
[ROW][C]1:4-1:3[/C][C]0.464[/C][C]-0.008[/C][C]0.936[/C][C]0.059[/C][/ROW]
[ROW][C]2:4-1:3[/C][C]-0.125[/C][C]-0.586[/C][C]0.336[/C][C]1[/C][/ROW]
[ROW][C]3:4-1:3[/C][C]-0.25[/C][C]-0.902[/C][C]0.402[/C][C]0.994[/C][/ROW]
[ROW][C]4:4-1:3[/C][C]0.083[/C][C]-0.492[/C][C]0.659[/C][C]1[/C][/ROW]
[ROW][C]3:3-2:3[/C][C]-0.222[/C][C]-0.602[/C][C]0.157[/C][C]0.797[/C][/ROW]
[ROW][C]4:3-2:3[/C][C]0.178[/C][C]-0.242[/C][C]0.598[/C][C]0.983[/C][/ROW]
[ROW][C]1:4-2:3[/C][C]0.492[/C][C]0.112[/C][C]0.872[/C][C]0.001[/C][/ROW]
[ROW][C]2:4-2:3[/C][C]-0.097[/C][C]-0.463[/C][C]0.269[/C][C]1[/C][/ROW]
[ROW][C]3:4-2:3[/C][C]-0.222[/C][C]-0.811[/C][C]0.367[/C][C]0.995[/C][/ROW]
[ROW][C]4:4-2:3[/C][C]0.111[/C][C]-0.391[/C][C]0.613[/C][C]1[/C][/ROW]
[ROW][C]4:3-3:3[/C][C]0.4[/C][C]-0.041[/C][C]0.841[/C][C]0.123[/C][/ROW]
[ROW][C]1:4-3:3[/C][C]0.714[/C][C]0.312[/C][C]1.117[/C][C]0[/C][/ROW]
[ROW][C]2:4-3:3[/C][C]0.125[/C][C]-0.265[/C][C]0.515[/C][C]0.999[/C][/ROW]
[ROW][C]3:4-3:3[/C][C]0[/C][C]-0.604[/C][C]0.604[/C][C]1[/C][/ROW]
[ROW][C]4:4-3:3[/C][C]0.333[/C][C]-0.186[/C][C]0.853[/C][C]0.669[/C][/ROW]
[ROW][C]1:4-4:3[/C][C]0.314[/C][C]-0.127[/C][C]0.755[/C][C]0.487[/C][/ROW]
[ROW][C]2:4-4:3[/C][C]-0.275[/C][C]-0.704[/C][C]0.154[/C][C]0.671[/C][/ROW]
[ROW][C]3:4-4:3[/C][C]-0.4[/C][C]-1.03[/C][C]0.23[/C][C]0.685[/C][/ROW]
[ROW][C]4:4-4:3[/C][C]-0.067[/C][C]-0.617[/C][C]0.483[/C][C]1[/C][/ROW]
[ROW][C]2:4-1:4[/C][C]-0.589[/C][C]-0.979[/C][C]-0.199[/C][C]0[/C][/ROW]
[ROW][C]3:4-1:4[/C][C]-0.714[/C][C]-1.318[/C][C]-0.11[/C][C]0.006[/C][/ROW]
[ROW][C]4:4-1:4[/C][C]-0.381[/C][C]-0.901[/C][C]0.139[/C][C]0.437[/C][/ROW]
[ROW][C]3:4-2:4[/C][C]-0.125[/C][C]-0.721[/C][C]0.471[/C][C]1[/C][/ROW]
[ROW][C]4:4-2:4[/C][C]0.208[/C][C]-0.302[/C][C]0.718[/C][C]0.988[/C][/ROW]
[ROW][C]4:4-3:4[/C][C]0.333[/C][C]-0.354[/C][C]1.021[/C][C]0.946[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202869&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202869&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
difflwruprp adj
2-1-0.213-0.35-0.0770
3-1-0.261-0.44-0.0810.001
4-1-0.202-0.343-0.0610.002
3-2-0.048-0.2010.1060.851
4-20.011-0.0950.1170.993
4-30.059-0.0980.2160.765
2-1-0.011-0.1480.1250.996
3-10.1990.0720.3260
4-10.3010.1620.440
3-20.2110.0440.3770.007
4-20.3120.1370.4870
4-30.101-0.0670.270.401
2:1-1:10-0.2820.2821
3:1-1:10-0.3660.3661
4:1-1:10-0.280.281
1:2-1:10-0.5020.5021
2:2-1:10-0.3320.3321
3:2-1:1NANANANA
4:2-1:10-0.3970.3971
1:3-1:10.25-0.2030.7030.859
2:3-1:10.222-0.1330.5770.707
3:3-1:10-0.380.381
4:3-1:10.4-0.020.820.081
1:4-1:10.7140.3351.0940
2:4-1:10.125-0.2410.4910.998
3:4-1:10-0.5890.5891
4:4-1:10.333-0.1690.8360.612
3:1-2:10-0.2960.2961
4:1-2:10-0.1790.1791
1:2-2:10-0.4540.4541
2:2-2:10-0.2530.2531
3:2-2:1NANANANA
4:2-2:10-0.3340.3341
1:3-2:10.25-0.1480.6480.702
2:3-2:10.222-0.060.5050.313
3:3-2:10-0.3130.3131
4:3-2:10.40.0390.7610.015
1:4-2:10.7140.4021.0270
2:4-2:10.125-0.1710.4210.984
3:4-2:10-0.5480.5481
4:4-2:10.333-0.120.7870.432
4:1-3:10-0.2940.2941
1:2-3:10-0.510.511
2:2-3:10-0.3440.3441
3:2-3:1NANANANA
4:2-3:10-0.4070.4071
1:3-3:10.25-0.2110.7110.875
2:3-3:10.222-0.1440.5880.75
3:3-3:10-0.390.391
4:3-3:10.4-0.0290.8290.098
1:4-3:10.7140.3241.1040
2:4-3:10.125-0.2520.5020.999
3:4-3:10-0.5960.5961
4:4-3:10.333-0.1770.8430.638
1:2-4:10-0.4520.4521
2:2-4:10-0.250.251
3:2-4:1NANANANA
4:2-4:10-0.3320.3321
1:3-4:10.25-0.1460.6460.695
2:3-4:10.222-0.0580.5020.299
3:3-4:10-0.310.311
4:3-4:10.40.0410.7590.014
1:4-4:10.7140.4041.0250
2:4-4:10.125-0.1690.4190.983
3:4-4:10-0.5470.5471
4:4-4:10.333-0.1190.7860.426
2:2-1:20-0.4860.4861
3:2-1:2NANANANA
4:2-1:20-0.5330.5331
1:3-1:20.25-0.3250.8250.979
2:3-1:20.222-0.280.7240.975
3:3-1:20-0.520.521
4:3-1:20.4-0.150.950.451
1:4-1:20.7140.1941.2340
2:4-1:20.125-0.3850.6351
3:4-1:20-0.6880.6881
4:4-1:20.333-0.2820.9480.875
3:2-2:2NANANANA
4:2-2:20-0.3770.3771
1:3-2:20.25-0.1850.6850.818
2:3-2:20.222-0.110.5540.599
3:3-2:20-0.3580.3581
4:3-2:20.4-0.0010.8010.051
1:4-2:20.7140.3561.0730
2:4-2:20.125-0.2190.4690.996
3:4-2:20-0.5750.5751
4:4-2:20.333-0.1530.820.556
4:2-3:2NANANANA
1:3-3:2NANANANA
2:3-3:2NANANANA
3:3-3:2NANANANA
4:3-3:2NANANANA
1:4-3:2NANANANA
2:4-3:2NANANANA
3:4-3:2NANANANA
4:4-3:2NANANANA
1:3-4:20.25-0.2360.7360.914
2:3-4:20.222-0.1750.6190.846
3:3-4:20-0.4190.4191
4:3-4:20.4-0.0560.8560.159
1:4-4:20.7140.2951.1330
2:4-4:20.125-0.2820.5320.999
3:4-4:20-0.6150.6151
4:4-4:20.333-0.1990.8660.707
2:3-1:3-0.028-0.480.4251
3:3-1:3-0.25-0.7220.2220.894
4:3-1:30.15-0.3550.6551
1:4-1:30.464-0.0080.9360.059
2:4-1:3-0.125-0.5860.3361
3:4-1:3-0.25-0.9020.4020.994
4:4-1:30.083-0.4920.6591
3:3-2:3-0.222-0.6020.1570.797
4:3-2:30.178-0.2420.5980.983
1:4-2:30.4920.1120.8720.001
2:4-2:3-0.097-0.4630.2691
3:4-2:3-0.222-0.8110.3670.995
4:4-2:30.111-0.3910.6131
4:3-3:30.4-0.0410.8410.123
1:4-3:30.7140.3121.1170
2:4-3:30.125-0.2650.5150.999
3:4-3:30-0.6040.6041
4:4-3:30.333-0.1860.8530.669
1:4-4:30.314-0.1270.7550.487
2:4-4:3-0.275-0.7040.1540.671
3:4-4:3-0.4-1.030.230.685
4:4-4:3-0.067-0.6170.4831
2:4-1:4-0.589-0.979-0.1990
3:4-1:4-0.714-1.318-0.110.006
4:4-1:4-0.381-0.9010.1390.437
3:4-2:4-0.125-0.7210.4711
4:4-2:40.208-0.3020.7180.988
4:4-3:40.333-0.3541.0210.946







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group143.0640
139

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 14 & 3.064 & 0 \tabularnewline
  & 139 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202869&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]14[/C][C]3.064[/C][C]0[/C][/ROW]
[ROW][C] [/C][C]139[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202869&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202869&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
DfF valuePr(>F)
Group143.0640
139



Parameters (Session):
par1 = 4 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
Parameters (R input):
par1 = 4 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
R code (references can be found in the software module):
par4 <- 'FALSE'
par3 <- '3'
par2 <- '2'
par1 <- '1'
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')