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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationFri, 21 Dec 2012 08:38:42 -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/21/t1356097159bs7zuao2qj466yz.htm/, Retrieved Sat, 16 May 2026 22:27:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=203651, Retrieved Sat, 16 May 2026 22:27:22 +0000
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User-defined keywords
Estimated Impact358

Tree of Dependent Computations

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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Paper - anova] [2012-12-21 13:38:42] [0ab7a1f5c5e2896cc7067de738ff1e9d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'Treatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Bad'	0	3
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'Treatment'	NA	'UsedStats'	'No'	'Yes'	'Good'	1	1
4	'Yes'	'Treatment'	NA	'UsedStats'	'Yes'	'Yes'	'Bad'	0	2
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'Treatment'	NA	'UsedStats'	'Yes'	'Yes'	'Good'	1	2
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Bad'	0	3
4	'Yes'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'Treatment'	NA	'UsedStats'	'No'	'No'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Bad'	0	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Bad'	0	3
4	'No'	'Treatment'	NA	'NoStats'	'No'	'No'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'Treatment'	NA	'UsedStats'	'No'	'Yes'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'Treatment'	NA	'NoStats'	'No'	'Yes'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'UsedStats'	'Yes'	'Yes'	'Good'	1	4
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Good'	1	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'Treatment'	NA	'UsedStats'	'No'	'No'	'Bad'	0	1
4	'Yes'	'Treatment'	NA	'UsedStats'	'Yes'	'Yes'	'Bad'	0	2
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'Yes'	'No'	'Bad'	0	4
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'Treatment'	NA	'UsedStats'	'No'	'No'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'Yes'	'Treatment'	NA	'UsedStats'	'Yes'	'Yes'	'Good'	1	2
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'Treatment'	NA	'NoStats'	'No'	'No'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'Treatment'	NA	'UsedStats'	'Yes'	'Yes'	'Bad'	0	2
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Good'	1	3
4	'Yes'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'Treatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'No'	'Yes'	'Good'	1	3
4	'No'	'Treatment'	NA	'UsedStats'	'Yes'	'No'	'Good'	1	2
4	'No'	'Treatment'	NA	'NoStats'	'No'	'Yes'	'Bad'	0	1
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'Yes'	'NoTreatment'	NA	'UsedStats'	'No'	'No'	'Good'	1	3
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
4	'No'	'NoTreatment'	NA	'UsedStats'	'Yes'	'No'	'Bad'	0	4
4	'No'	'NoTreatment'	NA	'NoStats'	'No'	'Yes'	'Good'	1	3
4	'Yes'	'NoTreatment'	NA	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Good'	1	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'Yes'	'Bad'	0	3
2	'Yes'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'Yes'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'Treatment'	'UsedStats'	'No'	'Yes'	'Bad'	0	1
2	'No'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'UsedStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Bad'	0	1
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'UsedStats'	'No'	'Yes'	'Good'	1	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'No'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'Yes'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'NoTreatment'	'UsedStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'Yes'	NA	'NoTreatment'	'UsedStats'	'No'	'Yes'	'Good'	1	3
2	'Yes'	NA	'Treatment'	'UsedStats'	'No'	'Yes'	'Good'	1	1
2	'No'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'UsedStats'	'Yes'	'No'	'Good'	1	4
2	'No'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Good'	1	1
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'Yes'	'Good'	1	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'Yes'	'Bad'	0	3
2	'No'	NA	'Treatment'	'NoStats'	'No'	'No'	'Good'	1	1
2	'No'	NA	'Treatment'	'UsedStats'	'No'	'No'	'Bad'	0	1
2	'No'	NA	'Treatment'	'NoStats'	'No'	'No'	'Bad'	0	1
2	'Yes'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Bad'	0	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'Yes'	'Good'	1	3
2	'No'	NA	'NoTreatment'	'NoStats'	'No'	'No'	'Good'	1	3
2	'Yes'	NA	'NoTreatment'	'UsedStats'	'Yes'	'No'	'Bad'	0	4
2	'Yes'	NA	'NoTreatment'	'UsedStats'	'Yes'	'Yes'	'Bad'	0	4
2	'Yes'	NA	'NoTreatment'	'UsedStats'	'No'	'No'	'Bad'	0	3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203651&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203651&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203651&T=0

As an alternative you can also use a QR Code:  
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'Sir Maurice George Kendall' @ kendall.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.






ANOVA Model
Weeks ~ Category2
means310.1110

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Weeks  ~  Category2
 \tabularnewline
means & 3 & 1 & 0.111 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203651&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Weeks  ~  Category2
[/C][/ROW]
[ROW][C]means[/C][C]3[/C][C]1[/C][C]0.111[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203651&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203651&T=1

As an alternative you can also use a QR Code:  
QR Code


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

ANOVA Model
Weeks ~ Category2
means310.1110






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Category2 35.2291.7431.7830.153
Residuals150146.6670.978 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Category2
 & 3 & 5.229 & 1.743 & 1.783 & 0.153 \tabularnewline
Residuals & 150 & 146.667 & 0.978 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203651&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]Category2
[/C][C]3[/C][C]5.229[/C][C]1.743[/C][C]1.783[/C][C]0.153[/C][/ROW]
[ROW][C]Residuals[/C][C]150[/C][C]146.667[/C][C]0.978[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203651&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203651&T=2

As an alternative you can also use a QR Code:  
QR Code


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

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Category2 35.2291.7431.7830.153
Residuals150146.6670.978






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-11-0.1382.1380.106
3-10.111-0.3940.6160.94
4-10-1.1381.1381
3-2-0.889-1.9660.1890.144
4-2-1-2.4830.4830.301
4-3-0.111-1.1890.9660.993

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 1 & -0.138 & 2.138 & 0.106 \tabularnewline
3-1 & 0.111 & -0.394 & 0.616 & 0.94 \tabularnewline
4-1 & 0 & -1.138 & 1.138 & 1 \tabularnewline
3-2 & -0.889 & -1.966 & 0.189 & 0.144 \tabularnewline
4-2 & -1 & -2.483 & 0.483 & 0.301 \tabularnewline
4-3 & -0.111 & -1.189 & 0.966 & 0.993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203651&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]1[/C][C]-0.138[/C][C]2.138[/C][C]0.106[/C][/ROW]
[ROW][C]3-1[/C][C]0.111[/C][C]-0.394[/C][C]0.616[/C][C]0.94[/C][/ROW]
[ROW][C]4-1[/C][C]0[/C][C]-1.138[/C][C]1.138[/C][C]1[/C][/ROW]
[ROW][C]3-2[/C][C]-0.889[/C][C]-1.966[/C][C]0.189[/C][C]0.144[/C][/ROW]
[ROW][C]4-2[/C][C]-1[/C][C]-2.483[/C][C]0.483[/C][C]0.301[/C][/ROW]
[ROW][C]4-3[/C][C]-0.111[/C][C]-1.189[/C][C]0.966[/C][C]0.993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203651&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203651&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-11-0.1382.1380.106
3-10.111-0.3940.6160.94
4-10-1.1381.1381
3-2-0.889-1.9660.1890.144
4-2-1-2.4830.4830.301
4-3-0.111-1.1890.9660.993






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group32.4510.066
150 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 2.451 & 0.066 \tabularnewline
  & 150 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203651&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]3[/C][C]2.451[/C][C]0.066[/C][/ROW]
[ROW][C] [/C][C]150[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203651&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203651&T=4

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

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group32.4510.066
150


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 1 ; par2 = 10 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'TRUE'
par2 <- '9'
par1 <- '1'
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, 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$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$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)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], 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, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
'Tukey Plot'
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
}
if(intercept==TRUE){
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(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
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<-leveneTest(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')