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Author*The author of this computation has been verified*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationMon, 15 Dec 2014 14:22:08 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/15/t1418653347iw4nupedcjh74wp.htm/, Retrieved Thu, 16 May 2024 20:29:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268486, Retrieved Thu, 16 May 2024 20:29:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact54
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Two-Way ANOVA] [] [2014-12-15 14:22:08] [a97fb05c06a04cb9398859e294d4eb9c] [Current]
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Dataseries X:
2011 "'S'" 50
2011 "'S'" 68
2011 "'S'" 62
2011 "'S'" 54
2011 "'S'" 71
2011 "'S'" 54
2011 "'S'" 65
2011 "'S'" 73
2011 "'S'" 52
2011 "'S'" 84
2011 "'S'" 42
2011 "'S'" 66
2011 "'S'" 65
2011 "'S'" 78
2011 "'S'" 73
2011 "'S'" 75
2011 "'B'" 72
2011 "'S'" 66
2011 "'S'" 70
2011 "'B'" 61
2011 "'S'" 81
2011 "'S'" 71
2011 "'S'" 69
2011 "'S'" 71
2011 "'S'" 72
2011 "'S'" 68
2011 "'S'" 70
2011 "'B'" 68
2011 "'B'" 61
2011 "'S'" 67
2011 "'S'" 76
2011 "'S'" 70
2011 "'S'" 60
2011 "'S'" 77
2011 "'S'" 72
2011 "'S'" 69
2011 "'S'" 71
2011 "'S'" 62
2011 "'S'" 70
2011 "'B'" 64
2011 "'S'" 58
2011 "'S'" 76
2011 "'S'" 52
2011 "'S'" 59
2011 "'S'" 68
2011 "'S'" 76
2011 "'B'" 65
2011 "'S'" 67
2011 "'S'" 59
2011 "'B'" 69
2011 "'S'" 76
2011 "'B'" 63
2011 "'B'" 75
2011 "'B'" 63
2011 "'S'" 60
2011 "'B'" 73
2011 "'S'" 63
2011 "'S'" 70
2011 "'B'" 75
2011 "'S'" 66
2011 "'B'" 63
2011 "'B'" 63
2011 "'S'" 64
2011 "'S'" 70
2011 "'S'" 75
2011 "'S'" 61
2011 "'S'" 60
2011 "'B'" 62
2011 "'S'" 73
2011 "'S'" 61
2011 "'S'" 66
2011 "'B'" 64
2011 "'S'" 59
2011 "'S'" 64
2011 "'B'" 60
2011 "'B'" 56
2011 "'S'" 66
2011 "'S'" 78
2011 "'S'" 53
2011 "'S'" 67
2011 "'B'" 59
2011 "'S'" 66
2011 "'B'" 68
2011 "'S'" 71
2011 "'B'" 66
2011 "'B'" 73
2011 "'B'" 72
2011 "'B'" 71
2011 "'B'" 59
2011 "'B'" 64
2011 "'B'" 66
2011 "'B'" 78
2011 "'B'" 68
2011 "'B'" 73
2011 "'B'" 62
2011 "'B'" 65
2011 "'B'" 68
2011 "'B'" 65
2011 "'B'" 60
2011 "'B'" 71
2011 "'B'" 65
2011 "'B'" 68
2011 "'B'" 64
2011 "'B'" 74
2011 "'B'" 69
2011 "'B'" 76
2011 "'B'" 68
2011 "'B'" 72
2011 "'B'" 67
2011 "'B'" 63
2011 "'B'" 59
2011 "'B'" 73
2011 "'B'" 66
2011 "'B'" 62
2011 "'B'" 69
2011 "'B'" 66
2012 "'S'" 51
2012 "'S'" 56
2012 "'S'" 67
2012 "'S'" 69
2012 "'B'" 57
2012 "'B'" 56
2012 "'S'" 55
2012 "'S'" 63
2012 "'S'" 67
2012 "'S'" 65
2012 "'S'" 47
2012 "'S'" 76
2012 "'S'" 64
2012 "'S'" 68
2012 "'S'" 64
2012 "'S'" 65
2012 "'B'" 71
2012 "'S'" 63
2012 "'S'" 60
2012 "'S'" 68
2012 "'S'" 72
2012 "'S'" 70
2012 "'S'" 61
2012 "'S'" 61
2012 "'S'" 62
2012 "'S'" 71
2012 "'S'" 71
2012 "'S'" 51
2012 "'B'" 56
2012 "'S'" 70
2012 "'S'" 73
2012 "'S'" 76
2012 "'S'" 59
2012 "'S'" 68
2012 "'S'" 48
2012 "'S'" 52
2012 "'S'" 59
2012 "'S'" 60
2012 "'S'" 59
2012 "'S'" 57
2012 "'S'" 79
2012 "'S'" 60
2012 "'S'" 60
2012 "'S'" 59
2012 "'B'" 62
2012 "'B'" 59
2012 "'S'" 61
2012 "'S'" 71
2012 "'B'" 57
2012 "'B'" 66
2012 "'B'" 63
2012 "'B'" 69
2012 "'S'" 58
2012 "'S'" 59
2012 "'B'" 48
2012 "'B'" 66
2012 "'B'" 73
2012 "'B'" 67
2012 "'B'" 61
2012 "'B'" 68
2012 "'B'" 75
2012 "'B'" 62
2012 "'B'" 69
2012 "'S'" 58
2012 "'S'" 60
2012 "'B'" 74
2012 "'S'" 55
2012 "'S'" 62
2012 "'B'" 63
2012 "'S'" 69
2012 "'B'" 58
2012 "'B'" 58
2012 "'S'" 68
2012 "'B'" 72
2012 "'B'" 62
2012 "'B'" 62
2012 "'B'" 65
2012 "'B'" 69
2012 "'B'" 66
2012 "'B'" 72
2012 "'B'" 62
2012 "'B'" 75
2012 "'B'" 58
2012 "'B'" 66
2012 "'B'" 55
2012 "'B'" 47
2012 "'S'" 72
2012 "'B'" 62
2012 "'B'" 64
2012 "'B'" 64
2012 "'S'" 19
2012 "'B'" 50
2012 "'S'" 68
2012 "'B'" 70
2012 "'S'" 79
2012 "'B'" 69
2012 "'S'" 71
2012 "'B'" 48
2012 "'B'" 66
2012 "'B'" 73
2012 "'B'" 74
2012 "'B'" 66
2012 "'S'" 71
2012 "'S'" 74
2012 "'B'" 78
2012 "'S'" 75
2012 "'S'" 53
2012 "'B'" 60
2012 "'S'" 50
2012 "'S'" 70
2012 "'B'" 69
2012 "'B'" 65
2012 "'S'" 78
2012 "'B'" 78
2012 "'S'" 59
2012 "'S'" 72
2012 "'S'" 70
2012 "'B'" 63
2012 "'S'" 63
2012 "'B'" 71
2012 "'S'" 74
2012 "'S'" 67
2012 "'S'" 66
2012 "'S'" 62
2012 "'B'" 80
2012 "'S'" 73
2012 "'S'" 67
2012 "'S'" 61
2012 "'B'" 73
2012 "'S'" 74
2012 "'S'" 32
2012 "'B'" 69
2012 "'S'" 69
2012 "'B'" 84
2012 "'B'" 64
2012 "'B'" 58
2012 "'S'" 60
2012 "'B'" 59
2012 "'B'" 78
2012 "'S'" 57
2012 "'S'" 60
2012 "'S'" 68
2012 "'S'" 68
2012 "'S'" 73
2012 "'S'" 69
2012 "'B'" 67
2012 "'B'" 60
2012 "'S'" 65
2012 "'B'" 66
2012 "'B'" 74
2012 "'S'" 81
2012 "'B'" 72
2012 "'B'" 55
2012 "'B'" 49
2012 "'B'" 74
2012 "'B'" 53
2012 "'B'" 64
2012 "'B'" 65
2012 "'B'" 57
2012 "'B'" 51
2012 "'B'" 80
2012 "'B'" 67
2012 "'B'" 70
2012 "'B'" 74
2012 "'B'" 75
2012 "'B'" 70
2012 "'B'" 69
2012 "'B'" 65
2012 "'S'" 55
2012 "'B'" 71
2012 "'B'" 65
2014 "'S'" 69
2014 "'S'" 48
2014 "'S'" 69
2014 "'S'" 68
2014 "'S'" 74
2014 "'S'" 67
2014 "'S'" 65
2014 "'S'" 63
2014 "'S'" 74
2014 "'S'" 39
2014 "'S'" 68
2014 "'S'" 69
2014 "'B'" 68
2014 "'S'" 63
2014 "'B'" 67
2014 "'S'" 70
2014 "'S'" 68
2014 "'B'" 66
2014 "'S'" 70
2014 "'S'" 78
2014 "'S'" 59
2014 "'S'" 62
2014 "'S'" 75
2014 "'S'" 74
2014 "'S'" 73
2014 "'S'" 62
2014 "'S'" 69
2014 "'S'" 65
2014 "'S'" 67
2014 "'S'" 73
2014 "'S'" 52
2014 "'S'" 61
2014 "'S'" 53
2014 "'S'" 63
2014 "'S'" 78
2014 "'S'" 65
2014 "'S'" 77
2014 "'S'" 69
2014 "'S'" 68
2014 "'S'" 76
2014 "'S'" 63
2014 "'S'" 41
2014 "'S'" 76
2014 "'S'" 67
2014 "'S'" 69
2014 "'B'" 59
2014 "'S'" 73
2014 "'B'" 72
2014 "'B'" 52
2014 "'B'" 65
2014 "'S'" 63
2014 "'S'" 78
2014 "'S'" 56
2014 "'B'" 68
2014 "'S'" 56
2014 "'S'" 64
2014 "'S'" 68
2014 "'S'" 75
2014 "'B'" 67
2014 "'S'" 55
2014 "'B'" 73
2014 "'S'" 66
2014 "'S'" 75
2014 "'S'" 77
2014 "'B'" 65
2014 "'B'" 75
2014 "'B'" 57
2014 "'S'" 61
2014 "'S'" 71
2014 "'S'" 72
2014 "'B'" 62
2014 "'S'" 66
2014 "'S'" 66
2014 "'S'" 63
2014 "'S'" 60
2014 "'S'" 64
2014 "'S'" 74
2014 "'B'" 59
2014 "'S'" 71
2014 "'S'" 69
2014 "'B'" 63
2014 "'B'" 73
2014 "'B'" 55
2014 "'S'" 77
2014 "'S'" 70
2014 "'B'" 64
2014 "'B'" 78
2014 "'B'" 60
2014 "'B'" 66
2014 "'S'" 77
2014 "'B'" 68
2014 "'B'" 78
2014 "'S'" 68
2014 "'B'" 60
2014 "'S'" 65
2014 "'B'" 64
2014 "'S'" 69
2014 "'B'" 72
2014 "'S'" 50
2014 "'S'" 72
2014 "'B'" 71
2014 "'B'" 80
2014 "'B'" 74
2014 "'S'" 64
2014 "'B'" 69
2014 "'S'" 76
2014 "'B'" 75
2014 "'S'" 79
2014 "'B'" 73
2014 "'B'" 60
2014 "'B'" 76
2014 "'S'" 55
2014 "'B'" 53
2014 "'S'" 62
2014 "'S'" 69
2014 "'B'" 78
2014 "'S'" 68
2014 "'B'" 67
2014 "'S'" 75
2014 "'B'" 59
2014 "'B'" 73
2014 "'B'" 70
2014 "'B'" 59
2014 "'S'" 64
2014 "'S'" 63
2014 "'S'" 67
2014 "'S'" 58
2014 "'S'" 71
2014 "'S'" 79
2014 "'S'" 53
2014 "'B'" 76
2014 "'B'" 66
2014 "'B'" 64
2014 "'S'" 57
2014 "'S'" 67
2014 "'B'" 72
2014 "'S'" 58
2014 "'S'" 74
2014 "'B'" 57
2014 "'S'" 62
2014 "'B'" 74
2014 "'S'" 54
2014 "'S'" 62
2014 "'B'" 66
2014 "'S'" 64
2014 "'B'" 74
2014 "'B'" 71
2014 "'S'" 66
2014 "'S'" 66
2014 "'S'" 63
2014 "'B'" 65
2014 "'B'" 70
2014 "'B'" 66
2014 "'S'" 66
2014 "'S'" 78
2014 "'B'" 77
2014 "'B'" 72
2014 "'B'" 65
2014 "'B'" 67
2014 "'B'" 72
2014 "'B'" 58
2014 "'S'" 84
2014 "'S'" 67
2014 "'B'" 84
2014 "'S'" 58
2014 "'B'" 63
2014 "'S'" 75
2014 "'S'" 55
2014 "'S'" 72
2014 "'B'" 58
2014 "'B'" 69
2014 "'S'" 54
2014 "'S'" 58
2014 "'S'" 67
2014 "'S'" 77
2014 "'B'" 80
2014 "'B'" 67
2014 "'B'" 75
2014 "'B'" 71
2014 "'B'" 72
2014 "'B'" 75
2014 "'B'" 79
2014 "'B'" 76
2014 "'S'" 72
2014 "'B'" 81
2014 "'S'" 52
2014 "'S'" 76
2014 "'B'" 60
2014 "'S'" 72
2014 "'S'" 77
2014 "'S'" 64
2014 "'B'" 67
2014 "'B'" 72
2014 "'B'" 79
2014 "'B'" 40
2014 "'S'" 71
2014 "'S'" 73
2014 "'S'" 75
2014 "'B'" 70
2014 "'B'" 66
2014 "'B'" 66
2014 "'B'" 73
2014 "'B'" 74
2014 "'S'" 58
2014 "'S'" 51
2014 "'S'" 75
2014 "'B'" 70
2014 "'B'" 50
2014 "'B'" 64
2014 "'B'" 77
2014 "'S'" 71




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268486&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268486&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268486&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'Gertrude Mary Cox' @ cox.wessa.net







ANOVA Model
Response ~ Treatment_A * Treatment_B
means66.654-1.2771.4270.034-1.55-1.469

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 66.654 & -1.277 & 1.427 & 0.034 & -1.55 & -1.469 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268486&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]66.654[/C][C]-1.277[/C][C]1.427[/C][C]0.034[/C][C]-1.55[/C][C]-1.469[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268486&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268486&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
means66.654-1.2771.4270.034-1.55-1.469







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
2
Treatment_A2682.879341.4395.2160.006
Treatment_B2153.638153.6382.3470.126
Treatment_A:Treatment_B249.9724.9850.3820.683
Residuals49232208.62265.465

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 2 &  &  &  &  \tabularnewline
Treatment_A & 2 & 682.879 & 341.439 & 5.216 & 0.006 \tabularnewline
Treatment_B & 2 & 153.638 & 153.638 & 2.347 & 0.126 \tabularnewline
Treatment_A:Treatment_B & 2 & 49.97 & 24.985 & 0.382 & 0.683 \tabularnewline
Residuals & 492 & 32208.622 & 65.465 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268486&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]2[/C][C][/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Treatment_A[/C][C]2[/C][C]682.879[/C][C]341.439[/C][C]5.216[/C][C]0.006[/C][/ROW]
[ROW][C]Treatment_B[/C][C]2[/C][C]153.638[/C][C]153.638[/C][C]2.347[/C][C]0.126[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]2[/C][C]49.97[/C][C]24.985[/C][C]0.382[/C][C]0.683[/C][/ROW]
[ROW][C]Residuals[/C][C]492[/C][C]32208.622[/C][C]65.465[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268486&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268486&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)
2
Treatment_A2682.879341.4395.2160.006
Treatment_B2153.638153.6382.3470.126
Treatment_A:Treatment_B249.9724.9850.3820.683
Residuals49232208.62265.465







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2012-2011-2.058-4.3460.230.088
2014-20110.565-1.6342.7630.818
2014-20122.6230.6664.580.005
'S'-'B'-1.113-2.5450.3190.127
2012:'B'-2011:'B'-1.277-5.3532.7980.947
2014:'B'-2011:'B'1.427-2.6315.4840.916
2011:'S'-2011:'B'0.034-4.2884.3551
2012:'S'-2011:'B'-2.793-6.861.2730.364
2014:'S'-2011:'B'-0.009-3.8333.8161
2014:'B'-2012:'B'2.704-0.8266.2340.244
2011:'S'-2012:'B'1.311-2.525.1420.924
2012:'S'-2012:'B'-1.516-5.0562.0240.824
2014:'S'-2012:'B'1.269-1.9914.5280.876
2011:'S'-2014:'B'-1.393-5.2052.4190.902
2012:'S'-2014:'B'-4.22-7.74-0.70.009
2014:'S'-2014:'B'-1.435-4.6731.8020.802
2012:'S'-2011:'S'-2.827-6.6480.9940.28
2014:'S'-2011:'S'-0.042-3.6053.5211
2014:'S'-2012:'S'2.785-0.4646.0330.141

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2012-2011 & -2.058 & -4.346 & 0.23 & 0.088 \tabularnewline
2014-2011 & 0.565 & -1.634 & 2.763 & 0.818 \tabularnewline
2014-2012 & 2.623 & 0.666 & 4.58 & 0.005 \tabularnewline
'S'-'B' & -1.113 & -2.545 & 0.319 & 0.127 \tabularnewline
2012:'B'-2011:'B' & -1.277 & -5.353 & 2.798 & 0.947 \tabularnewline
2014:'B'-2011:'B' & 1.427 & -2.631 & 5.484 & 0.916 \tabularnewline
2011:'S'-2011:'B' & 0.034 & -4.288 & 4.355 & 1 \tabularnewline
2012:'S'-2011:'B' & -2.793 & -6.86 & 1.273 & 0.364 \tabularnewline
2014:'S'-2011:'B' & -0.009 & -3.833 & 3.816 & 1 \tabularnewline
2014:'B'-2012:'B' & 2.704 & -0.826 & 6.234 & 0.244 \tabularnewline
2011:'S'-2012:'B' & 1.311 & -2.52 & 5.142 & 0.924 \tabularnewline
2012:'S'-2012:'B' & -1.516 & -5.056 & 2.024 & 0.824 \tabularnewline
2014:'S'-2012:'B' & 1.269 & -1.991 & 4.528 & 0.876 \tabularnewline
2011:'S'-2014:'B' & -1.393 & -5.205 & 2.419 & 0.902 \tabularnewline
2012:'S'-2014:'B' & -4.22 & -7.74 & -0.7 & 0.009 \tabularnewline
2014:'S'-2014:'B' & -1.435 & -4.673 & 1.802 & 0.802 \tabularnewline
2012:'S'-2011:'S' & -2.827 & -6.648 & 0.994 & 0.28 \tabularnewline
2014:'S'-2011:'S' & -0.042 & -3.605 & 3.521 & 1 \tabularnewline
2014:'S'-2012:'S' & 2.785 & -0.464 & 6.033 & 0.141 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268486&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]2012-2011[/C][C]-2.058[/C][C]-4.346[/C][C]0.23[/C][C]0.088[/C][/ROW]
[ROW][C]2014-2011[/C][C]0.565[/C][C]-1.634[/C][C]2.763[/C][C]0.818[/C][/ROW]
[ROW][C]2014-2012[/C][C]2.623[/C][C]0.666[/C][C]4.58[/C][C]0.005[/C][/ROW]
[ROW][C]'S'-'B'[/C][C]-1.113[/C][C]-2.545[/C][C]0.319[/C][C]0.127[/C][/ROW]
[ROW][C]2012:'B'-2011:'B'[/C][C]-1.277[/C][C]-5.353[/C][C]2.798[/C][C]0.947[/C][/ROW]
[ROW][C]2014:'B'-2011:'B'[/C][C]1.427[/C][C]-2.631[/C][C]5.484[/C][C]0.916[/C][/ROW]
[ROW][C]2011:'S'-2011:'B'[/C][C]0.034[/C][C]-4.288[/C][C]4.355[/C][C]1[/C][/ROW]
[ROW][C]2012:'S'-2011:'B'[/C][C]-2.793[/C][C]-6.86[/C][C]1.273[/C][C]0.364[/C][/ROW]
[ROW][C]2014:'S'-2011:'B'[/C][C]-0.009[/C][C]-3.833[/C][C]3.816[/C][C]1[/C][/ROW]
[ROW][C]2014:'B'-2012:'B'[/C][C]2.704[/C][C]-0.826[/C][C]6.234[/C][C]0.244[/C][/ROW]
[ROW][C]2011:'S'-2012:'B'[/C][C]1.311[/C][C]-2.52[/C][C]5.142[/C][C]0.924[/C][/ROW]
[ROW][C]2012:'S'-2012:'B'[/C][C]-1.516[/C][C]-5.056[/C][C]2.024[/C][C]0.824[/C][/ROW]
[ROW][C]2014:'S'-2012:'B'[/C][C]1.269[/C][C]-1.991[/C][C]4.528[/C][C]0.876[/C][/ROW]
[ROW][C]2011:'S'-2014:'B'[/C][C]-1.393[/C][C]-5.205[/C][C]2.419[/C][C]0.902[/C][/ROW]
[ROW][C]2012:'S'-2014:'B'[/C][C]-4.22[/C][C]-7.74[/C][C]-0.7[/C][C]0.009[/C][/ROW]
[ROW][C]2014:'S'-2014:'B'[/C][C]-1.435[/C][C]-4.673[/C][C]1.802[/C][C]0.802[/C][/ROW]
[ROW][C]2012:'S'-2011:'S'[/C][C]-2.827[/C][C]-6.648[/C][C]0.994[/C][C]0.28[/C][/ROW]
[ROW][C]2014:'S'-2011:'S'[/C][C]-0.042[/C][C]-3.605[/C][C]3.521[/C][C]1[/C][/ROW]
[ROW][C]2014:'S'-2012:'S'[/C][C]2.785[/C][C]-0.464[/C][C]6.033[/C][C]0.141[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268486&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268486&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
2012-2011-2.058-4.3460.230.088
2014-20110.565-1.6342.7630.818
2014-20122.6230.6664.580.005
'S'-'B'-1.113-2.5450.3190.127
2012:'B'-2011:'B'-1.277-5.3532.7980.947
2014:'B'-2011:'B'1.427-2.6315.4840.916
2011:'S'-2011:'B'0.034-4.2884.3551
2012:'S'-2011:'B'-2.793-6.861.2730.364
2014:'S'-2011:'B'-0.009-3.8333.8161
2014:'B'-2012:'B'2.704-0.8266.2340.244
2011:'S'-2012:'B'1.311-2.525.1420.924
2012:'S'-2012:'B'-1.516-5.0562.0240.824
2014:'S'-2012:'B'1.269-1.9914.5280.876
2011:'S'-2014:'B'-1.393-5.2052.4190.902
2012:'S'-2014:'B'-4.22-7.74-0.70.009
2014:'S'-2014:'B'-1.435-4.6731.8020.802
2012:'S'-2011:'S'-2.827-6.6480.9940.28
2014:'S'-2011:'S'-0.042-3.6053.5211
2014:'S'-2012:'S'2.785-0.4646.0330.141







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group52.1710.056
492

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 2.171 & 0.056 \tabularnewline
  & 492 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268486&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]5[/C][C]2.171[/C][C]0.056[/C][/ROW]
[ROW][C] [/C][C]492[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268486&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268486&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)
Group52.1710.056
492



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')