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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 computationSun, 14 Dec 2014 22:21:27 +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/14/t1418595781pkqlktg7r37oj80.htm/, Retrieved Thu, 16 May 2024 15:57:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267917, Retrieved Thu, 16 May 2024 15:57:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
2011 "'S'" 26
2011 "'S'" 51
2011 "'S'" 57
2011 "'S'" 37
2011 "'S'" 67
2011 "'S'" 43
2011 "'S'" 52
2011 "'S'" 52
2011 "'S'" 43
2011 "'S'" 84
2011 "'S'" 67
2011 "'S'" 49
2011 "'S'" 70
2011 "'S'" 52
2011 "'S'" 58
2011 "'S'" 68
2011 "'B'" 62
2011 "'S'" 43
2011 "'S'" 56
2011 "'B'" 56
2011 "'S'" 74
2011 "'S'" 65
2011 "'S'" 63
2011 "'S'" 58
2011 "'S'" 57
2011 "'S'" 63
2011 "'S'" 53
2011 "'B'" 57
2011 "'B'" 51
2011 "'S'" 64
2011 "'S'" 53
2011 "'S'" 29
2011 "'S'" 54
2011 "'S'" 51
2011 "'S'" 58
2011 "'S'" 43
2011 "'S'" 51
2011 "'S'" 53
2011 "'S'" 54
2011 "'B'" 56
2011 "'S'" 61
2011 "'S'" 47
2011 "'S'" 39
2011 "'S'" 48
2011 "'S'" 50
2011 "'S'" 35
2011 "'B'" 30
2011 "'S'" 68
2011 "'S'" 49
2011 "'B'" 61
2011 "'S'" 67
2011 "'B'" 47
2011 "'B'" 56
2011 "'B'" 50
2011 "'S'" 43
2011 "'B'" 67
2011 "'S'" 62
2011 "'S'" 57
2011 "'B'" 41
2011 "'S'" 54
2011 "'B'" 45
2011 "'B'" 48
2011 "'S'" 61
2011 "'S'" 56
2011 "'S'" 41
2011 "'S'" 43
2011 "'S'" 53
2011 "'B'" 44
2011 "'S'" 66
2011 "'S'" 58
2011 "'S'" 46
2011 "'B'" 37
2011 "'S'" 51
2011 "'S'" 51
2011 "'B'" 56
2011 "'B'" 66
2011 "'S'" 45
2011 "'S'" 37
2011 "'S'" 59
2011 "'S'" 42
2011 "'B'" 38
2011 "'S'" 66
2011 "'B'" 34
2011 "'S'" 53
2011 "'B'" 49
2011 "'B'" 55
2011 "'B'" 49
2011 "'B'" 59
2011 "'B'" 40
2011 "'B'" 58
2011 "'B'" 60
2011 "'B'" 63
2011 "'B'" 56
2011 "'B'" 54
2011 "'B'" 52
2011 "'B'" 34
2011 "'B'" 69
2011 "'B'" 32
2011 "'B'" 48
2011 "'B'" 67
2011 "'B'" 58
2011 "'B'" 57
2011 "'B'" 42
2011 "'B'" 64
2011 "'B'" 58
2011 "'B'" 66
2011 "'B'" 26
2011 "'B'" 61
2011 "'B'" 52
2011 "'B'" 51
2011 "'B'" 55
2011 "'B'" 50
2011 "'B'" 60
2011 "'B'" 56
2011 "'B'" 63
2011 "'B'" 61
2012 "'S'" 52
2012 "'S'" 16
2012 "'S'" 46
2012 "'S'" 56
2012 "'B'" 52
2012 "'B'" 55
2012 "'S'" 50
2012 "'S'" 59
2012 "'S'" 60
2012 "'S'" 52
2012 "'S'" 44
2012 "'S'" 67
2012 "'S'" 52
2012 "'S'" 55
2012 "'S'" 37
2012 "'S'" 54
2012 "'B'" 72
2012 "'S'" 51
2012 "'S'" 48
2012 "'S'" 60
2012 "'S'" 50
2012 "'S'" 63
2012 "'S'" 33
2012 "'S'" 67
2012 "'S'" 46
2012 "'S'" 54
2012 "'S'" 59
2012 "'S'" 61
2012 "'B'" 33
2012 "'S'" 47
2012 "'S'" 69
2012 "'S'" 52
2012 "'S'" 55
2012 "'S'" 55
2012 "'S'" 41
2012 "'S'" 73
2012 "'S'" 51
2012 "'S'" 52
2012 "'S'" 50
2012 "'S'" 51
2012 "'S'" 60
2012 "'S'" 56
2012 "'S'" 56
2012 "'S'" 29
2012 "'B'" 66
2012 "'B'" 66
2012 "'S'" 73
2012 "'S'" 55
2012 "'B'" 64
2012 "'B'" 40
2012 "'B'" 46
2012 "'B'" 58
2012 "'S'" 43
2012 "'S'" 61
2012 "'B'" 51
2012 "'B'" 50
2012 "'B'" 52
2012 "'B'" 54
2012 "'B'" 66
2012 "'B'" 61
2012 "'B'" 80
2012 "'B'" 51
2012 "'B'" 56
2012 "'S'" 56
2012 "'S'" 56
2012 "'B'" 53
2012 "'S'" 47
2012 "'S'" 25
2012 "'B'" 47
2012 "'S'" 46
2012 "'B'" 50
2012 "'B'" 39
2012 "'S'" 51
2012 "'B'" 58
2012 "'B'" 35
2012 "'B'" 58
2012 "'B'" 60
2012 "'B'" 62
2012 "'B'" 63
2012 "'B'" 53
2012 "'B'" 46
2012 "'B'" 67
2012 "'B'" 59
2012 "'B'" 64
2012 "'B'" 38
2012 "'B'" 50
2012 "'S'" 48
2012 "'B'" 48
2012 "'B'" 47
2012 "'B'" 66
2012 "'S'" 47
2012 "'B'" 63
2012 "'S'" 58
2012 "'B'" 44
2012 "'S'" 51
2012 "'B'" 43
2012 "'S'" 55
2012 "'B'" 38
2012 "'B'" 56
2012 "'B'" 45
2012 "'B'" 50
2012 "'B'" 54
2012 "'S'" 57
2012 "'S'" 60
2012 "'B'" 55
2012 "'S'" 56
2012 "'S'" 49
2012 "'B'" 37
2012 "'S'" 43
2012 "'S'" 59
2012 "'B'" 46
2012 "'B'" 51
2012 "'S'" 58
2012 "'B'" 64
2012 "'S'" 53
2012 "'S'" 48
2012 "'S'" 51
2012 "'B'" 47
2012 "'S'" 59
2012 "'B'" 62
2012 "'S'" 62
2012 "'S'" 51
2012 "'S'" 64
2012 "'S'" 52
2012 "'B'" 67
2012 "'S'" 50
2012 "'S'" 54
2012 "'S'" 58
2012 "'B'" 56
2012 "'S'" 63
2012 "'S'" 31
2012 "'B'" 65
2012 "'S'" 71
2012 "'B'" 50
2012 "'B'" 57
2012 "'B'" 47
2012 "'S'" 54
2012 "'B'" 47
2012 "'B'" 57
2012 "'S'" 43
2012 "'S'" 41
2012 "'S'" 63
2012 "'S'" 63
2012 "'S'" 56
2012 "'S'" 51
2012 "'B'" 50
2012 "'B'" 22
2012 "'S'" 41
2012 "'B'" 59
2012 "'B'" 56
2012 "'S'" 66
2012 "'B'" 53
2012 "'B'" 42
2012 "'B'" 52
2012 "'B'" 54
2012 "'B'" 44
2012 "'B'" 62
2012 "'B'" 53
2012 "'B'" 50
2012 "'B'" 36
2012 "'B'" 76
2012 "'B'" 66
2012 "'B'" 62
2012 "'B'" 59
2012 "'B'" 47
2012 "'B'" 55
2012 "'B'" 58
2012 "'B'" 60
2012 "'S'" 44
2012 "'B'" 57
2012 "'B'" 45
2014 "'S'" 58
2014 "'S'" 51
2014 "'S'" 57
2014 "'S'" 30
2014 "'S'" 46
2014 "'S'" 51
2014 "'S'" 56
2014 "'S'" 58
2014 "'S'" 44
2014 "'S'" 14
2014 "'S'" 53
2014 "'S'" 42
2014 "'B'" 49
2014 "'S'" 44
2014 "'B'" 62
2014 "'S'" 30
2014 "'S'" 46
2014 "'B'" 56
2014 "'S'" 50
2014 "'S'" 54
2014 "'S'" 48
2014 "'S'" 55
2014 "'S'" 35
2014 "'S'" 55
2014 "'S'" 41
2014 "'S'" 59
2014 "'S'" 54
2014 "'S'" 66
2014 "'S'" 55
2014 "'S'" 45
2014 "'S'" 51
2014 "'S'" 47
2014 "'S'" 42
2014 "'S'" 53
2014 "'S'" 53
2014 "'S'" 41
2014 "'S'" 55
2014 "'S'" 55
2014 "'S'" 46
2014 "'S'" 63
2014 "'S'" 43
2014 "'S'" 65
2014 "'S'" 59
2014 "'S'" 39
2014 "'S'" 44
2014 "'B'" 60
2014 "'S'" 57
2014 "'B'" 67
2014 "'B'" 52
2014 "'B'" 52
2014 "'S'" 69
2014 "'S'" 46
2014 "'S'" 46
2014 "'B'" 53
2014 "'S'" 40
2014 "'S'" 70
2014 "'S'" 54
2014 "'S'" 77
2014 "'B'" 45
2014 "'S'" 60
2014 "'B'" 47
2014 "'S'" 50
2014 "'S'" 66
2014 "'S'" 60
2014 "'B'" 41
2014 "'B'" 53
2014 "'B'" 34
2014 "'S'" 51
2014 "'S'" 69
2014 "'S'" 60
2014 "'B'" 45
2014 "'S'" 58
2014 "'S'" 39
2014 "'S'" 51
2014 "'S'" 52
2014 "'S'" 49
2014 "'S'" 63
2014 "'B'" 44
2014 "'S'" 51
2014 "'S'" 52
2014 "'B'" 60
2014 "'B'" 53
2014 "'B'" 53
2014 "'S'" 52
2014 "'S'" 31
2014 "'B'" 51
2014 "'B'" 65
2014 "'B'" 51
2014 "'B'" 49
2014 "'S'" 61
2014 "'B'" 58
2014 "'B'" 62
2014 "'S'" 54
2014 "'B'" 52
2014 "'S'" 72
2014 "'B'" 50
2014 "'S'" 65
2014 "'B'" 53
2014 "'S'" 56
2014 "'S'" 63
2014 "'B'" 62
2014 "'B'" 66
2014 "'B'" 50
2014 "'S'" 45
2014 "'B'" 58
2014 "'S'" 52
2014 "'B'" 53
2014 "'S'" 68
2014 "'B'" 59
2014 "'B'" 58
2014 "'B'" 52
2014 "'S'" 45
2014 "'B'" 58
2014 "'S'" 70
2014 "'S'" 69
2014 "'B'" 71
2014 "'S'" 46
2014 "'B'" 58
2014 "'S'" 39
2014 "'B'" 46
2014 "'B'" 64
2014 "'B'" 67
2014 "'B'" 44
2014 "'S'" 54
2014 "'S'" 41
2014 "'S'" 68
2014 "'S'" 63
2014 "'S'" 57
2014 "'S'" 61
2014 "'S'" 39
2014 "'B'" 69
2014 "'B'" 64
2014 "'B'" 38
2014 "'S'" 59
2014 "'S'" 51
2014 "'B'" 59
2014 "'S'" 51
2014 "'S'" 65
2014 "'B'" 47
2014 "'S'" 50
2014 "'B'" 57
2014 "'S'" 21
2014 "'S'" 47
2014 "'B'" 51
2014 "'S'" 37
2014 "'B'" 67
2014 "'B'" 43
2014 "'S'" 58
2014 "'S'" 51
2014 "'S'" 40
2014 "'B'" 41
2014 "'B'" 58
2014 "'B'" 64
2014 "'S'" 64
2014 "'S'" 58
2014 "'B'" 50
2014 "'B'" 59
2014 "'B'" 55
2014 "'B'" 59
2014 "'B'" 58
2014 "'B'" 41
2014 "'S'" 56
2014 "'S'" 63
2014 "'B'" 77
2014 "'S'" 60
2014 "'B'" 58
2014 "'S'" 64
2014 "'S'" 47
2014 "'S'" 46
2014 "'B'" 62
2014 "'B'" 60
2014 "'S'" 50
2014 "'S'" 46
2014 "'S'" 44
2014 "'S'" 58
2014 "'B'" 56
2014 "'B'" 43
2014 "'B'" 54
2014 "'B'" 54
2014 "'B'" 56
2014 "'B'" 65
2014 "'B'" 66
2014 "'B'" 62
2014 "'S'" 58
2014 "'B'" 67
2014 "'S'" 25
2014 "'S'" 56
2014 "'B'" 53
2014 "'S'" 56
2014 "'S'" 59
2014 "'S'" 46
2014 "'B'" 49
2014 "'B'" 56
2014 "'B'" 76
2014 "'B'" 33
2014 "'S'" 49
2014 "'S'" 53
2014 "'S'" 58
2014 "'B'" 72
2014 "'B'" 51
2014 "'B'" 42
2014 "'B'" 69
2014 "'B'" 51
2014 "'S'" 54
2014 "'S'" 52
2014 "'S'" 59
2014 "'B'" 51
2014 "'B'" 67
2014 "'B'" 64
2014 "'B'" 58
2014 "'S'" 53




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267917&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267917&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267917&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 time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







ANOVA Model
Response ~ Treatment_A * Treatment_B
means52.4421.1463.1321.089-1.98-4.422

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 52.442 & 1.146 & 3.132 & 1.089 & -1.98 & -4.422 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267917&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]52.442[/C][C]1.146[/C][C]3.132[/C][C]1.089[/C][C]-1.98[/C][C]-4.422[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267917&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267917&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
means52.4421.1463.1321.089-1.98-4.422







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
2
Treatment_A232.91416.4570.1610.851
Treatment_B2256.265256.2652.5130.114
Treatment_A:Treatment_B2379.558189.7791.8610.157
Residuals49250165.498101.962

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 2 &  &  &  &  \tabularnewline
Treatment_A & 2 & 32.914 & 16.457 & 0.161 & 0.851 \tabularnewline
Treatment_B & 2 & 256.265 & 256.265 & 2.513 & 0.114 \tabularnewline
Treatment_A:Treatment_B & 2 & 379.558 & 189.779 & 1.861 & 0.157 \tabularnewline
Residuals & 492 & 50165.498 & 101.962 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267917&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]32.914[/C][C]16.457[/C][C]0.161[/C][C]0.851[/C][/ROW]
[ROW][C]Treatment_B[/C][C]2[/C][C]256.265[/C][C]256.265[/C][C]2.513[/C][C]0.114[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]2[/C][C]379.558[/C][C]189.779[/C][C]1.861[/C][C]0.157[/C][/ROW]
[ROW][C]Residuals[/C][C]492[/C][C]50165.498[/C][C]101.962[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267917&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267917&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_A232.91416.4570.1610.851
Treatment_B2256.265256.2652.5130.114
Treatment_A:Treatment_B2379.558189.7791.8610.157
Residuals49250165.498101.962







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2012-20110.097-2.7582.9530.996
2014-20110.573-2.1713.3170.876
2014-20120.476-1.9672.9180.891
'S'-'B'-1.438-3.2250.3490.115
2012:'B'-2011:'B'1.146-3.946.2320.988
2014:'B'-2011:'B'3.132-1.9318.1960.486
2011:'S'-2011:'B'1.089-4.3056.4820.992
2012:'S'-2011:'B'0.255-4.8195.331
2014:'S'-2011:'B'-0.2-4.9734.5721
2014:'B'-2012:'B'1.986-2.4196.3920.791
2011:'S'-2012:'B'-0.057-4.8384.7241
2012:'S'-2012:'B'-0.891-5.3093.5280.993
2014:'S'-2012:'B'-1.346-5.4142.7220.934
2011:'S'-2014:'B'-2.043-6.8012.7140.823
2012:'S'-2014:'B'-2.877-7.271.5160.42
2014:'S'-2014:'B'-3.333-7.3730.7070.173
2012:'S'-2011:'S'-0.834-5.6033.9360.996
2014:'S'-2011:'S'-1.289-5.7363.1570.962
2014:'S'-2012:'S'-0.456-4.513.5981

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2012-2011 & 0.097 & -2.758 & 2.953 & 0.996 \tabularnewline
2014-2011 & 0.573 & -2.171 & 3.317 & 0.876 \tabularnewline
2014-2012 & 0.476 & -1.967 & 2.918 & 0.891 \tabularnewline
'S'-'B' & -1.438 & -3.225 & 0.349 & 0.115 \tabularnewline
2012:'B'-2011:'B' & 1.146 & -3.94 & 6.232 & 0.988 \tabularnewline
2014:'B'-2011:'B' & 3.132 & -1.931 & 8.196 & 0.486 \tabularnewline
2011:'S'-2011:'B' & 1.089 & -4.305 & 6.482 & 0.992 \tabularnewline
2012:'S'-2011:'B' & 0.255 & -4.819 & 5.33 & 1 \tabularnewline
2014:'S'-2011:'B' & -0.2 & -4.973 & 4.572 & 1 \tabularnewline
2014:'B'-2012:'B' & 1.986 & -2.419 & 6.392 & 0.791 \tabularnewline
2011:'S'-2012:'B' & -0.057 & -4.838 & 4.724 & 1 \tabularnewline
2012:'S'-2012:'B' & -0.891 & -5.309 & 3.528 & 0.993 \tabularnewline
2014:'S'-2012:'B' & -1.346 & -5.414 & 2.722 & 0.934 \tabularnewline
2011:'S'-2014:'B' & -2.043 & -6.801 & 2.714 & 0.823 \tabularnewline
2012:'S'-2014:'B' & -2.877 & -7.27 & 1.516 & 0.42 \tabularnewline
2014:'S'-2014:'B' & -3.333 & -7.373 & 0.707 & 0.173 \tabularnewline
2012:'S'-2011:'S' & -0.834 & -5.603 & 3.936 & 0.996 \tabularnewline
2014:'S'-2011:'S' & -1.289 & -5.736 & 3.157 & 0.962 \tabularnewline
2014:'S'-2012:'S' & -0.456 & -4.51 & 3.598 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267917&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]0.097[/C][C]-2.758[/C][C]2.953[/C][C]0.996[/C][/ROW]
[ROW][C]2014-2011[/C][C]0.573[/C][C]-2.171[/C][C]3.317[/C][C]0.876[/C][/ROW]
[ROW][C]2014-2012[/C][C]0.476[/C][C]-1.967[/C][C]2.918[/C][C]0.891[/C][/ROW]
[ROW][C]'S'-'B'[/C][C]-1.438[/C][C]-3.225[/C][C]0.349[/C][C]0.115[/C][/ROW]
[ROW][C]2012:'B'-2011:'B'[/C][C]1.146[/C][C]-3.94[/C][C]6.232[/C][C]0.988[/C][/ROW]
[ROW][C]2014:'B'-2011:'B'[/C][C]3.132[/C][C]-1.931[/C][C]8.196[/C][C]0.486[/C][/ROW]
[ROW][C]2011:'S'-2011:'B'[/C][C]1.089[/C][C]-4.305[/C][C]6.482[/C][C]0.992[/C][/ROW]
[ROW][C]2012:'S'-2011:'B'[/C][C]0.255[/C][C]-4.819[/C][C]5.33[/C][C]1[/C][/ROW]
[ROW][C]2014:'S'-2011:'B'[/C][C]-0.2[/C][C]-4.973[/C][C]4.572[/C][C]1[/C][/ROW]
[ROW][C]2014:'B'-2012:'B'[/C][C]1.986[/C][C]-2.419[/C][C]6.392[/C][C]0.791[/C][/ROW]
[ROW][C]2011:'S'-2012:'B'[/C][C]-0.057[/C][C]-4.838[/C][C]4.724[/C][C]1[/C][/ROW]
[ROW][C]2012:'S'-2012:'B'[/C][C]-0.891[/C][C]-5.309[/C][C]3.528[/C][C]0.993[/C][/ROW]
[ROW][C]2014:'S'-2012:'B'[/C][C]-1.346[/C][C]-5.414[/C][C]2.722[/C][C]0.934[/C][/ROW]
[ROW][C]2011:'S'-2014:'B'[/C][C]-2.043[/C][C]-6.801[/C][C]2.714[/C][C]0.823[/C][/ROW]
[ROW][C]2012:'S'-2014:'B'[/C][C]-2.877[/C][C]-7.27[/C][C]1.516[/C][C]0.42[/C][/ROW]
[ROW][C]2014:'S'-2014:'B'[/C][C]-3.333[/C][C]-7.373[/C][C]0.707[/C][C]0.173[/C][/ROW]
[ROW][C]2012:'S'-2011:'S'[/C][C]-0.834[/C][C]-5.603[/C][C]3.936[/C][C]0.996[/C][/ROW]
[ROW][C]2014:'S'-2011:'S'[/C][C]-1.289[/C][C]-5.736[/C][C]3.157[/C][C]0.962[/C][/ROW]
[ROW][C]2014:'S'-2012:'S'[/C][C]-0.456[/C][C]-4.51[/C][C]3.598[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267917&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267917&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
2012-20110.097-2.7582.9530.996
2014-20110.573-2.1713.3170.876
2014-20120.476-1.9672.9180.891
'S'-'B'-1.438-3.2250.3490.115
2012:'B'-2011:'B'1.146-3.946.2320.988
2014:'B'-2011:'B'3.132-1.9318.1960.486
2011:'S'-2011:'B'1.089-4.3056.4820.992
2012:'S'-2011:'B'0.255-4.8195.331
2014:'S'-2011:'B'-0.2-4.9734.5721
2014:'B'-2012:'B'1.986-2.4196.3920.791
2011:'S'-2012:'B'-0.057-4.8384.7241
2012:'S'-2012:'B'-0.891-5.3093.5280.993
2014:'S'-2012:'B'-1.346-5.4142.7220.934
2011:'S'-2014:'B'-2.043-6.8012.7140.823
2012:'S'-2014:'B'-2.877-7.271.5160.42
2014:'S'-2014:'B'-3.333-7.3730.7070.173
2012:'S'-2011:'S'-0.834-5.6033.9360.996
2014:'S'-2011:'S'-1.289-5.7363.1570.962
2014:'S'-2012:'S'-0.456-4.513.5981







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group50.3570.878
492

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 0.357 & 0.878 \tabularnewline
  & 492 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267917&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]0.357[/C][C]0.878[/C][/ROW]
[ROW][C] [/C][C]492[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267917&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267917&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)
Group50.3570.878
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')