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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 computationThu, 11 Dec 2014 18:24:55 +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/11/t1418322417pd6klc8km2azgtb.htm/, Retrieved Thu, 16 May 2024 17:05:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266253, Retrieved Thu, 16 May 2024 17:05:58 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69

Tree of Dependent Computations

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13 12.9
8 12.2
14 12.8
16 7.4
14 6.7
13 12.6
15 14.8
13 13.3
20 11.1
17 8.2
15 11.4
16 6.4
12 10.6
17 12
11 6.3
16 11.3
16 11.9
15 9.3
13 9.6
14 10
19 6.4
16 13.8
17 10.8
10 13.8
15 11.7
14 10.9
14 16.1
16 13.4
15 9.9
17 11.5
14 8.3
16 11.7
15 9
16 9.7
16 10.8
10 10.3
8 10.4
17 12.7
14 9.3
10 11.8
14 5.9
12 11.4
16 13
16 10.8
16 12.3
8 11.3
16 11.8
15 7.9
8 12.7
13 12.3
14 11.6
13 6.7
16 10.9
19 12.1
19 13.3
14 10.1
15 5.7
13 14.3
10 8
16 13.3
15 9.3
11 12.5
9 7.6
16 15.9
12 9.2
12 9.1
14 11.1
14 13
13 14.5
15 12.2
17 12.3
14 11.4
11 8.8
9 14.6
7 12.6
15 13
12 12.6
15 13.2
14 9.9
16 7.7
14 10.5
13 13.4
16 10.9
13 4.3
16 10.3
16 11.8
16 11.2
10 11.4
12 8.6
12 13.2
12 12.6
12 5.6
19 9.9
14 8.8
13 7.7
16 9
15 7.3
12 11.4
8 13.6
10 7.9
16 10.7
16 10.3
10 8.3
18 9.6
12 14.2
16 8.5
10 13.5
14 4.9
12 6.4
11 9.6
15 11.6
7 11.1
16 4.35
16 12.7
16 18.1
16 17.85
12 16.6
15 12.6
14 17.1
15 19.1
16 16.1
13 13.35
10 18.4
17 14.7
15 10.6
18 12.6
16 16.2
20 13.6
16 18.9
17 14.1
16 14.5
15 16.15
13 14.75
16 14.8
16 12.45
16 12.65
17 17.35
20 8.6
14 18.4
17 16.1
6 11.6
16 17.75
15 15.25
16 17.65
16 16.35
14 17.65
16 13.6
16 14.35
16 14.75
14 18.25
14 9.9
16 16
16 18.25
15 16.85
16 14.6
16 13.85
18 18.95
15 15.6
16 14.85
16 11.75
16 18.45
17 15.9
14 17.1
18 16.1
9 19.9
15 10.95
14 18.45
15 15.1
13 15
16 11.35
20 15.95
14 18.1
12 14.6
15 15.4
15 15.4
15 17.6
16 13.35
11 19.1
16 15.35
7 7.6
11 13.4
9 13.9
15 19.1
16 15.25
14 12.9
15 16.1
13 17.35
13 13.15
12 12.15
16 12.6
14 10.35
16 15.4
14 9.6
15 18.2
10 13.6
16 14.85
14 14.75
16 14.1
12 14.9
16 16.25
16 19.25
15 13.6
14 13.6
16 15.65
11 12.75
15 14.6
18 9.85
13 12.65
7 19.2
7 16.6
17 11.2
18 15.25
15 11.9
8 13.2
13 16.35
13 12.4
15 15.85
18 18.15
16 11.15
14 15.65
15 17.75
19 7.65
16 12.35
12 15.6
16 19.3
11 15.2
16 17.1
15 15.6
19 18.4
15 19.05
14 18.55
14 19.1
17 13.1
16 12.85
20 9.5
16 4.5
9 11.85
13 13.6
15 11.7
19 12.4
16 13.35
17 11.4
16 14.9
9 19.9
11 11.2
14 14.6
19 17.6
13 14.05
14 16.1
15 13.35
15 11.85
14 11.95
16 14.75
17 15.15
12 13.2
15 16.85
17 7.85
15 7.7
10 12.6
16 7.85
15 10.95
11 12.35
16 9.95
16 14.9
16 16.65
14 13.4
14 13.95
16 15.7
16 16.85
18 10.95
14 15.35
20 12.2
15 15.1
16 17.75
16 15.2
16 14.6
12 16.65
8 8.1

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'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266253&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266253&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266253&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'Herman Ole Andreas Wold' @ wold.wessa.net






ANOVA Model
TOT ~ CONFSTATTOT
means11.7820.3380.250.8021.1951.6171.6630.992.1490.4370.043-0.1821.638-0.1392.843

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline TOT ~ CONFSTATTOT \tabularnewline means & 11.782 & 0.338 & 0.25 & 0.802 & 1.195 & 1.617 & 1.663 & 0.99 & 2.149 & 0.437 & 0.043 & -0.182 & 1.638 & -0.139 & 2.843 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=266253&T=1

[TABLE]
[ROW]
ANOVA Model[/C][/ROW] [ROW]TOT ~ CONFSTATTOT[/C][/ROW] [ROW][C]means[/C][C]11.782[/C][C]0.338[/C][C]0.25[/C][C]0.802[/C][C]1.195[/C][C]1.617[/C][C]1.663[/C][C]0.99[/C][C]2.149[/C][C]0.437[/C][C]0.043[/C][C]-0.182[/C][C]1.638[/C][C]-0.139[/C][C]2.843[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=266253&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266253&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
TOT ~ CONFSTATTOT
means11.7820.3380.250.8021.1951.6171.6630.992.1490.4370.043-0.1821.638-0.1392.843






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
CONFSTATTOT14120.1728.5840.7350.738
Residuals2633071.33211.678 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
CONFSTATTOT & 14 & 120.172 & 8.584 & 0.735 & 0.738 \tabularnewline
Residuals & 263 & 3071.332 & 11.678 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266253&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]CONFSTATTOT[/C][C]14[/C][C]120.172[/C][C]8.584[/C][C]0.735[/C][C]0.738[/C][/ROW]
[ROW][C]Residuals[/C][C]263[/C][C]3071.332[/C][C]11.678[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266253&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266253&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)
CONFSTATTOT14120.1728.5840.7350.738
Residuals2633071.33211.678






Tukey Honest Significant Difference Comparisons
difflwruprp adj
11-100.338-4.7745.4511
12-100.25-4.1834.6831
13-100.802-3.5545.1571
14-101.195-2.85.190.999
15-101.617-2.3375.5710.987
16-101.663-2.1055.4320.974
17-100.99-3.5935.5731
18-102.149-3.2887.5860.99
19-100.437-55.8741
20-100.043-5.8955.9821
6-10-0.182-12.40312.0391
7-101.638-4.6737.9491
8-10-0.139-5.7965.5181
9-102.843-3.0958.7820.948
12-11-0.088-4.664.4831
13-110.463-4.0324.9591
14-110.857-3.2915.0041
15-111.279-2.8295.3870.999
16-111.325-2.6055.2550.998
17-110.652-4.0655.3691
18-111.811-3.7397.3620.999
19-110.099-5.4525.6491
20-11-0.295-6.3375.7471
6-11-0.52-12.79211.7521
7-111.3-5.1097.7091
8-11-0.477-6.2435.2891
9-112.505-3.5378.5470.985
13-120.552-3.1534.2571
14-120.945-2.3284.2191
15-121.367-1.8564.5910.981
16-121.413-1.584.4070.954
17-120.74-3.234.7111
18-121.9-3.0326.8310.993
19-120.187-4.7445.1191
20-12-0.207-5.6865.2731
6-12-0.432-12.43711.5731
7-121.388-4.4937.271
8-12-0.389-5.5624.7851
9-122.593-2.8868.0730.953
14-130.394-2.7733.5611
15-130.816-2.33.9311
16-130.862-2.0153.7380.999
17-130.189-3.6944.0711
18-131.348-3.5146.2091
19-13-0.365-5.2264.4971
20-13-0.758-6.1754.6581
6-13-0.983-12.9610.9931
7-130.837-4.9866.6591
8-13-0.94-6.0474.1661
9-132.042-3.3757.4580.994
15-140.422-2.1653.0091
16-140.468-1.8272.7631
17-14-0.205-3.6793.2691
18-140.954-3.5875.4961
19-14-0.758-5.33.7831
20-14-1.152-6.2833.9791
6-14-1.377-13.22710.4731
7-140.443-5.1156.0011
8-14-1.334-6.1373.4691
9-141.648-3.4836.7790.999
16-150.046-2.1762.2681
17-15-0.627-4.0532.81
18-150.532-3.9735.0381
19-15-1.18-5.6853.3251
20-15-1.574-6.6733.5250.999
6-15-1.799-13.63510.0371
7-150.021-5.5085.551
8-15-1.756-6.5253.0130.995
9-151.226-3.8736.3251
17-16-0.673-3.8842.5381
18-160.486-3.8584.831
19-16-1.226-5.573.1181
20-16-1.62-6.5773.3370.999
6-16-1.845-13.6219.9311
7-16-0.025-5.4235.3731
8-16-1.802-6.4192.8150.991
9-161.18-3.7776.1371
18-171.159-3.9076.2261
19-17-0.553-5.624.5141
20-17-0.947-6.5484.6551
6-17-1.172-13.23310.8891
7-170.648-5.3476.6431
8-17-1.129-6.4314.1731
9-171.853-3.7487.4550.998
19-18-1.712-7.5634.1381
20-18-2.106-8.4254.2130.998
6-18-2.331-14.74210.0791
7-18-0.511-7.1826.1591
8-18-2.288-8.3443.7670.994
9-180.694-5.6257.0131
20-19-0.394-6.7135.9251
6-19-0.619-13.02911.7921
7-191.201-5.4697.8721
8-19-0.576-6.6325.481
9-192.406-3.9138.7250.993
6-20-0.225-12.86312.4131
7-201.595-5.498.681
8-20-0.182-6.6926.3281
9-202.8-3.9569.5560.985
7-61.82-10.99814.6381
8-60.043-12.46612.5521
9-63.025-9.61315.6631
8-7-1.777-8.6295.0741
9-71.205-5.888.291
9-82.982-3.5289.4920.964

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
11-10 & 0.338 & -4.774 & 5.451 & 1 \tabularnewline
12-10 & 0.25 & -4.183 & 4.683 & 1 \tabularnewline
13-10 & 0.802 & -3.554 & 5.157 & 1 \tabularnewline
14-10 & 1.195 & -2.8 & 5.19 & 0.999 \tabularnewline
15-10 & 1.617 & -2.337 & 5.571 & 0.987 \tabularnewline
16-10 & 1.663 & -2.105 & 5.432 & 0.974 \tabularnewline
17-10 & 0.99 & -3.593 & 5.573 & 1 \tabularnewline
18-10 & 2.149 & -3.288 & 7.586 & 0.99 \tabularnewline
19-10 & 0.437 & -5 & 5.874 & 1 \tabularnewline
20-10 & 0.043 & -5.895 & 5.982 & 1 \tabularnewline
6-10 & -0.182 & -12.403 & 12.039 & 1 \tabularnewline
7-10 & 1.638 & -4.673 & 7.949 & 1 \tabularnewline
8-10 & -0.139 & -5.796 & 5.518 & 1 \tabularnewline
9-10 & 2.843 & -3.095 & 8.782 & 0.948 \tabularnewline
12-11 & -0.088 & -4.66 & 4.483 & 1 \tabularnewline
13-11 & 0.463 & -4.032 & 4.959 & 1 \tabularnewline
14-11 & 0.857 & -3.291 & 5.004 & 1 \tabularnewline
15-11 & 1.279 & -2.829 & 5.387 & 0.999 \tabularnewline
16-11 & 1.325 & -2.605 & 5.255 & 0.998 \tabularnewline
17-11 & 0.652 & -4.065 & 5.369 & 1 \tabularnewline
18-11 & 1.811 & -3.739 & 7.362 & 0.999 \tabularnewline
19-11 & 0.099 & -5.452 & 5.649 & 1 \tabularnewline
20-11 & -0.295 & -6.337 & 5.747 & 1 \tabularnewline
6-11 & -0.52 & -12.792 & 11.752 & 1 \tabularnewline
7-11 & 1.3 & -5.109 & 7.709 & 1 \tabularnewline
8-11 & -0.477 & -6.243 & 5.289 & 1 \tabularnewline
9-11 & 2.505 & -3.537 & 8.547 & 0.985 \tabularnewline
13-12 & 0.552 & -3.153 & 4.257 & 1 \tabularnewline
14-12 & 0.945 & -2.328 & 4.219 & 1 \tabularnewline
15-12 & 1.367 & -1.856 & 4.591 & 0.981 \tabularnewline
16-12 & 1.413 & -1.58 & 4.407 & 0.954 \tabularnewline
17-12 & 0.74 & -3.23 & 4.711 & 1 \tabularnewline
18-12 & 1.9 & -3.032 & 6.831 & 0.993 \tabularnewline
19-12 & 0.187 & -4.744 & 5.119 & 1 \tabularnewline
20-12 & -0.207 & -5.686 & 5.273 & 1 \tabularnewline
6-12 & -0.432 & -12.437 & 11.573 & 1 \tabularnewline
7-12 & 1.388 & -4.493 & 7.27 & 1 \tabularnewline
8-12 & -0.389 & -5.562 & 4.785 & 1 \tabularnewline
9-12 & 2.593 & -2.886 & 8.073 & 0.953 \tabularnewline
14-13 & 0.394 & -2.773 & 3.561 & 1 \tabularnewline
15-13 & 0.816 & -2.3 & 3.931 & 1 \tabularnewline
16-13 & 0.862 & -2.015 & 3.738 & 0.999 \tabularnewline
17-13 & 0.189 & -3.694 & 4.071 & 1 \tabularnewline
18-13 & 1.348 & -3.514 & 6.209 & 1 \tabularnewline
19-13 & -0.365 & -5.226 & 4.497 & 1 \tabularnewline
20-13 & -0.758 & -6.175 & 4.658 & 1 \tabularnewline
6-13 & -0.983 & -12.96 & 10.993 & 1 \tabularnewline
7-13 & 0.837 & -4.986 & 6.659 & 1 \tabularnewline
8-13 & -0.94 & -6.047 & 4.166 & 1 \tabularnewline
9-13 & 2.042 & -3.375 & 7.458 & 0.994 \tabularnewline
15-14 & 0.422 & -2.165 & 3.009 & 1 \tabularnewline
16-14 & 0.468 & -1.827 & 2.763 & 1 \tabularnewline
17-14 & -0.205 & -3.679 & 3.269 & 1 \tabularnewline
18-14 & 0.954 & -3.587 & 5.496 & 1 \tabularnewline
19-14 & -0.758 & -5.3 & 3.783 & 1 \tabularnewline
20-14 & -1.152 & -6.283 & 3.979 & 1 \tabularnewline
6-14 & -1.377 & -13.227 & 10.473 & 1 \tabularnewline
7-14 & 0.443 & -5.115 & 6.001 & 1 \tabularnewline
8-14 & -1.334 & -6.137 & 3.469 & 1 \tabularnewline
9-14 & 1.648 & -3.483 & 6.779 & 0.999 \tabularnewline
16-15 & 0.046 & -2.176 & 2.268 & 1 \tabularnewline
17-15 & -0.627 & -4.053 & 2.8 & 1 \tabularnewline
18-15 & 0.532 & -3.973 & 5.038 & 1 \tabularnewline
19-15 & -1.18 & -5.685 & 3.325 & 1 \tabularnewline
20-15 & -1.574 & -6.673 & 3.525 & 0.999 \tabularnewline
6-15 & -1.799 & -13.635 & 10.037 & 1 \tabularnewline
7-15 & 0.021 & -5.508 & 5.55 & 1 \tabularnewline
8-15 & -1.756 & -6.525 & 3.013 & 0.995 \tabularnewline
9-15 & 1.226 & -3.873 & 6.325 & 1 \tabularnewline
17-16 & -0.673 & -3.884 & 2.538 & 1 \tabularnewline
18-16 & 0.486 & -3.858 & 4.83 & 1 \tabularnewline
19-16 & -1.226 & -5.57 & 3.118 & 1 \tabularnewline
20-16 & -1.62 & -6.577 & 3.337 & 0.999 \tabularnewline
6-16 & -1.845 & -13.621 & 9.931 & 1 \tabularnewline
7-16 & -0.025 & -5.423 & 5.373 & 1 \tabularnewline
8-16 & -1.802 & -6.419 & 2.815 & 0.991 \tabularnewline
9-16 & 1.18 & -3.777 & 6.137 & 1 \tabularnewline
18-17 & 1.159 & -3.907 & 6.226 & 1 \tabularnewline
19-17 & -0.553 & -5.62 & 4.514 & 1 \tabularnewline
20-17 & -0.947 & -6.548 & 4.655 & 1 \tabularnewline
6-17 & -1.172 & -13.233 & 10.889 & 1 \tabularnewline
7-17 & 0.648 & -5.347 & 6.643 & 1 \tabularnewline
8-17 & -1.129 & -6.431 & 4.173 & 1 \tabularnewline
9-17 & 1.853 & -3.748 & 7.455 & 0.998 \tabularnewline
19-18 & -1.712 & -7.563 & 4.138 & 1 \tabularnewline
20-18 & -2.106 & -8.425 & 4.213 & 0.998 \tabularnewline
6-18 & -2.331 & -14.742 & 10.079 & 1 \tabularnewline
7-18 & -0.511 & -7.182 & 6.159 & 1 \tabularnewline
8-18 & -2.288 & -8.344 & 3.767 & 0.994 \tabularnewline
9-18 & 0.694 & -5.625 & 7.013 & 1 \tabularnewline
20-19 & -0.394 & -6.713 & 5.925 & 1 \tabularnewline
6-19 & -0.619 & -13.029 & 11.792 & 1 \tabularnewline
7-19 & 1.201 & -5.469 & 7.872 & 1 \tabularnewline
8-19 & -0.576 & -6.632 & 5.48 & 1 \tabularnewline
9-19 & 2.406 & -3.913 & 8.725 & 0.993 \tabularnewline
6-20 & -0.225 & -12.863 & 12.413 & 1 \tabularnewline
7-20 & 1.595 & -5.49 & 8.68 & 1 \tabularnewline
8-20 & -0.182 & -6.692 & 6.328 & 1 \tabularnewline
9-20 & 2.8 & -3.956 & 9.556 & 0.985 \tabularnewline
7-6 & 1.82 & -10.998 & 14.638 & 1 \tabularnewline
8-6 & 0.043 & -12.466 & 12.552 & 1 \tabularnewline
9-6 & 3.025 & -9.613 & 15.663 & 1 \tabularnewline
8-7 & -1.777 & -8.629 & 5.074 & 1 \tabularnewline
9-7 & 1.205 & -5.88 & 8.29 & 1 \tabularnewline
9-8 & 2.982 & -3.528 & 9.492 & 0.964 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266253&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]11-10[/C][C]0.338[/C][C]-4.774[/C][C]5.451[/C][C]1[/C][/ROW]
[ROW][C]12-10[/C][C]0.25[/C][C]-4.183[/C][C]4.683[/C][C]1[/C][/ROW]
[ROW][C]13-10[/C][C]0.802[/C][C]-3.554[/C][C]5.157[/C][C]1[/C][/ROW]
[ROW][C]14-10[/C][C]1.195[/C][C]-2.8[/C][C]5.19[/C][C]0.999[/C][/ROW]
[ROW][C]15-10[/C][C]1.617[/C][C]-2.337[/C][C]5.571[/C][C]0.987[/C][/ROW]
[ROW][C]16-10[/C][C]1.663[/C][C]-2.105[/C][C]5.432[/C][C]0.974[/C][/ROW]
[ROW][C]17-10[/C][C]0.99[/C][C]-3.593[/C][C]5.573[/C][C]1[/C][/ROW]
[ROW][C]18-10[/C][C]2.149[/C][C]-3.288[/C][C]7.586[/C][C]0.99[/C][/ROW]
[ROW][C]19-10[/C][C]0.437[/C][C]-5[/C][C]5.874[/C][C]1[/C][/ROW]
[ROW][C]20-10[/C][C]0.043[/C][C]-5.895[/C][C]5.982[/C][C]1[/C][/ROW]
[ROW][C]6-10[/C][C]-0.182[/C][C]-12.403[/C][C]12.039[/C][C]1[/C][/ROW]
[ROW][C]7-10[/C][C]1.638[/C][C]-4.673[/C][C]7.949[/C][C]1[/C][/ROW]
[ROW][C]8-10[/C][C]-0.139[/C][C]-5.796[/C][C]5.518[/C][C]1[/C][/ROW]
[ROW][C]9-10[/C][C]2.843[/C][C]-3.095[/C][C]8.782[/C][C]0.948[/C][/ROW]
[ROW][C]12-11[/C][C]-0.088[/C][C]-4.66[/C][C]4.483[/C][C]1[/C][/ROW]
[ROW][C]13-11[/C][C]0.463[/C][C]-4.032[/C][C]4.959[/C][C]1[/C][/ROW]
[ROW][C]14-11[/C][C]0.857[/C][C]-3.291[/C][C]5.004[/C][C]1[/C][/ROW]
[ROW][C]15-11[/C][C]1.279[/C][C]-2.829[/C][C]5.387[/C][C]0.999[/C][/ROW]
[ROW][C]16-11[/C][C]1.325[/C][C]-2.605[/C][C]5.255[/C][C]0.998[/C][/ROW]
[ROW][C]17-11[/C][C]0.652[/C][C]-4.065[/C][C]5.369[/C][C]1[/C][/ROW]
[ROW][C]18-11[/C][C]1.811[/C][C]-3.739[/C][C]7.362[/C][C]0.999[/C][/ROW]
[ROW][C]19-11[/C][C]0.099[/C][C]-5.452[/C][C]5.649[/C][C]1[/C][/ROW]
[ROW][C]20-11[/C][C]-0.295[/C][C]-6.337[/C][C]5.747[/C][C]1[/C][/ROW]
[ROW][C]6-11[/C][C]-0.52[/C][C]-12.792[/C][C]11.752[/C][C]1[/C][/ROW]
[ROW][C]7-11[/C][C]1.3[/C][C]-5.109[/C][C]7.709[/C][C]1[/C][/ROW]
[ROW][C]8-11[/C][C]-0.477[/C][C]-6.243[/C][C]5.289[/C][C]1[/C][/ROW]
[ROW][C]9-11[/C][C]2.505[/C][C]-3.537[/C][C]8.547[/C][C]0.985[/C][/ROW]
[ROW][C]13-12[/C][C]0.552[/C][C]-3.153[/C][C]4.257[/C][C]1[/C][/ROW]
[ROW][C]14-12[/C][C]0.945[/C][C]-2.328[/C][C]4.219[/C][C]1[/C][/ROW]
[ROW][C]15-12[/C][C]1.367[/C][C]-1.856[/C][C]4.591[/C][C]0.981[/C][/ROW]
[ROW][C]16-12[/C][C]1.413[/C][C]-1.58[/C][C]4.407[/C][C]0.954[/C][/ROW]
[ROW][C]17-12[/C][C]0.74[/C][C]-3.23[/C][C]4.711[/C][C]1[/C][/ROW]
[ROW][C]18-12[/C][C]1.9[/C][C]-3.032[/C][C]6.831[/C][C]0.993[/C][/ROW]
[ROW][C]19-12[/C][C]0.187[/C][C]-4.744[/C][C]5.119[/C][C]1[/C][/ROW]
[ROW][C]20-12[/C][C]-0.207[/C][C]-5.686[/C][C]5.273[/C][C]1[/C][/ROW]
[ROW][C]6-12[/C][C]-0.432[/C][C]-12.437[/C][C]11.573[/C][C]1[/C][/ROW]
[ROW][C]7-12[/C][C]1.388[/C][C]-4.493[/C][C]7.27[/C][C]1[/C][/ROW]
[ROW][C]8-12[/C][C]-0.389[/C][C]-5.562[/C][C]4.785[/C][C]1[/C][/ROW]
[ROW][C]9-12[/C][C]2.593[/C][C]-2.886[/C][C]8.073[/C][C]0.953[/C][/ROW]
[ROW][C]14-13[/C][C]0.394[/C][C]-2.773[/C][C]3.561[/C][C]1[/C][/ROW]
[ROW][C]15-13[/C][C]0.816[/C][C]-2.3[/C][C]3.931[/C][C]1[/C][/ROW]
[ROW][C]16-13[/C][C]0.862[/C][C]-2.015[/C][C]3.738[/C][C]0.999[/C][/ROW]
[ROW][C]17-13[/C][C]0.189[/C][C]-3.694[/C][C]4.071[/C][C]1[/C][/ROW]
[ROW][C]18-13[/C][C]1.348[/C][C]-3.514[/C][C]6.209[/C][C]1[/C][/ROW]
[ROW][C]19-13[/C][C]-0.365[/C][C]-5.226[/C][C]4.497[/C][C]1[/C][/ROW]
[ROW][C]20-13[/C][C]-0.758[/C][C]-6.175[/C][C]4.658[/C][C]1[/C][/ROW]
[ROW][C]6-13[/C][C]-0.983[/C][C]-12.96[/C][C]10.993[/C][C]1[/C][/ROW]
[ROW][C]7-13[/C][C]0.837[/C][C]-4.986[/C][C]6.659[/C][C]1[/C][/ROW]
[ROW][C]8-13[/C][C]-0.94[/C][C]-6.047[/C][C]4.166[/C][C]1[/C][/ROW]
[ROW][C]9-13[/C][C]2.042[/C][C]-3.375[/C][C]7.458[/C][C]0.994[/C][/ROW]
[ROW][C]15-14[/C][C]0.422[/C][C]-2.165[/C][C]3.009[/C][C]1[/C][/ROW]
[ROW][C]16-14[/C][C]0.468[/C][C]-1.827[/C][C]2.763[/C][C]1[/C][/ROW]
[ROW][C]17-14[/C][C]-0.205[/C][C]-3.679[/C][C]3.269[/C][C]1[/C][/ROW]
[ROW][C]18-14[/C][C]0.954[/C][C]-3.587[/C][C]5.496[/C][C]1[/C][/ROW]
[ROW][C]19-14[/C][C]-0.758[/C][C]-5.3[/C][C]3.783[/C][C]1[/C][/ROW]
[ROW][C]20-14[/C][C]-1.152[/C][C]-6.283[/C][C]3.979[/C][C]1[/C][/ROW]
[ROW][C]6-14[/C][C]-1.377[/C][C]-13.227[/C][C]10.473[/C][C]1[/C][/ROW]
[ROW][C]7-14[/C][C]0.443[/C][C]-5.115[/C][C]6.001[/C][C]1[/C][/ROW]
[ROW][C]8-14[/C][C]-1.334[/C][C]-6.137[/C][C]3.469[/C][C]1[/C][/ROW]
[ROW][C]9-14[/C][C]1.648[/C][C]-3.483[/C][C]6.779[/C][C]0.999[/C][/ROW]
[ROW][C]16-15[/C][C]0.046[/C][C]-2.176[/C][C]2.268[/C][C]1[/C][/ROW]
[ROW][C]17-15[/C][C]-0.627[/C][C]-4.053[/C][C]2.8[/C][C]1[/C][/ROW]
[ROW][C]18-15[/C][C]0.532[/C][C]-3.973[/C][C]5.038[/C][C]1[/C][/ROW]
[ROW][C]19-15[/C][C]-1.18[/C][C]-5.685[/C][C]3.325[/C][C]1[/C][/ROW]
[ROW][C]20-15[/C][C]-1.574[/C][C]-6.673[/C][C]3.525[/C][C]0.999[/C][/ROW]
[ROW][C]6-15[/C][C]-1.799[/C][C]-13.635[/C][C]10.037[/C][C]1[/C][/ROW]
[ROW][C]7-15[/C][C]0.021[/C][C]-5.508[/C][C]5.55[/C][C]1[/C][/ROW]
[ROW][C]8-15[/C][C]-1.756[/C][C]-6.525[/C][C]3.013[/C][C]0.995[/C][/ROW]
[ROW][C]9-15[/C][C]1.226[/C][C]-3.873[/C][C]6.325[/C][C]1[/C][/ROW]
[ROW][C]17-16[/C][C]-0.673[/C][C]-3.884[/C][C]2.538[/C][C]1[/C][/ROW]
[ROW][C]18-16[/C][C]0.486[/C][C]-3.858[/C][C]4.83[/C][C]1[/C][/ROW]
[ROW][C]19-16[/C][C]-1.226[/C][C]-5.57[/C][C]3.118[/C][C]1[/C][/ROW]
[ROW][C]20-16[/C][C]-1.62[/C][C]-6.577[/C][C]3.337[/C][C]0.999[/C][/ROW]
[ROW][C]6-16[/C][C]-1.845[/C][C]-13.621[/C][C]9.931[/C][C]1[/C][/ROW]
[ROW][C]7-16[/C][C]-0.025[/C][C]-5.423[/C][C]5.373[/C][C]1[/C][/ROW]
[ROW][C]8-16[/C][C]-1.802[/C][C]-6.419[/C][C]2.815[/C][C]0.991[/C][/ROW]
[ROW][C]9-16[/C][C]1.18[/C][C]-3.777[/C][C]6.137[/C][C]1[/C][/ROW]
[ROW][C]18-17[/C][C]1.159[/C][C]-3.907[/C][C]6.226[/C][C]1[/C][/ROW]
[ROW][C]19-17[/C][C]-0.553[/C][C]-5.62[/C][C]4.514[/C][C]1[/C][/ROW]
[ROW][C]20-17[/C][C]-0.947[/C][C]-6.548[/C][C]4.655[/C][C]1[/C][/ROW]
[ROW][C]6-17[/C][C]-1.172[/C][C]-13.233[/C][C]10.889[/C][C]1[/C][/ROW]
[ROW][C]7-17[/C][C]0.648[/C][C]-5.347[/C][C]6.643[/C][C]1[/C][/ROW]
[ROW][C]8-17[/C][C]-1.129[/C][C]-6.431[/C][C]4.173[/C][C]1[/C][/ROW]
[ROW][C]9-17[/C][C]1.853[/C][C]-3.748[/C][C]7.455[/C][C]0.998[/C][/ROW]
[ROW][C]19-18[/C][C]-1.712[/C][C]-7.563[/C][C]4.138[/C][C]1[/C][/ROW]
[ROW][C]20-18[/C][C]-2.106[/C][C]-8.425[/C][C]4.213[/C][C]0.998[/C][/ROW]
[ROW][C]6-18[/C][C]-2.331[/C][C]-14.742[/C][C]10.079[/C][C]1[/C][/ROW]
[ROW][C]7-18[/C][C]-0.511[/C][C]-7.182[/C][C]6.159[/C][C]1[/C][/ROW]
[ROW][C]8-18[/C][C]-2.288[/C][C]-8.344[/C][C]3.767[/C][C]0.994[/C][/ROW]
[ROW][C]9-18[/C][C]0.694[/C][C]-5.625[/C][C]7.013[/C][C]1[/C][/ROW]
[ROW][C]20-19[/C][C]-0.394[/C][C]-6.713[/C][C]5.925[/C][C]1[/C][/ROW]
[ROW][C]6-19[/C][C]-0.619[/C][C]-13.029[/C][C]11.792[/C][C]1[/C][/ROW]
[ROW][C]7-19[/C][C]1.201[/C][C]-5.469[/C][C]7.872[/C][C]1[/C][/ROW]
[ROW][C]8-19[/C][C]-0.576[/C][C]-6.632[/C][C]5.48[/C][C]1[/C][/ROW]
[ROW][C]9-19[/C][C]2.406[/C][C]-3.913[/C][C]8.725[/C][C]0.993[/C][/ROW]
[ROW][C]6-20[/C][C]-0.225[/C][C]-12.863[/C][C]12.413[/C][C]1[/C][/ROW]
[ROW][C]7-20[/C][C]1.595[/C][C]-5.49[/C][C]8.68[/C][C]1[/C][/ROW]
[ROW][C]8-20[/C][C]-0.182[/C][C]-6.692[/C][C]6.328[/C][C]1[/C][/ROW]
[ROW][C]9-20[/C][C]2.8[/C][C]-3.956[/C][C]9.556[/C][C]0.985[/C][/ROW]
[ROW][C]7-6[/C][C]1.82[/C][C]-10.998[/C][C]14.638[/C][C]1[/C][/ROW]
[ROW][C]8-6[/C][C]0.043[/C][C]-12.466[/C][C]12.552[/C][C]1[/C][/ROW]
[ROW][C]9-6[/C][C]3.025[/C][C]-9.613[/C][C]15.663[/C][C]1[/C][/ROW]
[ROW][C]8-7[/C][C]-1.777[/C][C]-8.629[/C][C]5.074[/C][C]1[/C][/ROW]
[ROW][C]9-7[/C][C]1.205[/C][C]-5.88[/C][C]8.29[/C][C]1[/C][/ROW]
[ROW][C]9-8[/C][C]2.982[/C][C]-3.528[/C][C]9.492[/C][C]0.964[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266253&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266253&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
11-100.338-4.7745.4511
12-100.25-4.1834.6831
13-100.802-3.5545.1571
14-101.195-2.85.190.999
15-101.617-2.3375.5710.987
16-101.663-2.1055.4320.974
17-100.99-3.5935.5731
18-102.149-3.2887.5860.99
19-100.437-55.8741
20-100.043-5.8955.9821
6-10-0.182-12.40312.0391
7-101.638-4.6737.9491
8-10-0.139-5.7965.5181
9-102.843-3.0958.7820.948
12-11-0.088-4.664.4831
13-110.463-4.0324.9591
14-110.857-3.2915.0041
15-111.279-2.8295.3870.999
16-111.325-2.6055.2550.998
17-110.652-4.0655.3691
18-111.811-3.7397.3620.999
19-110.099-5.4525.6491
20-11-0.295-6.3375.7471
6-11-0.52-12.79211.7521
7-111.3-5.1097.7091
8-11-0.477-6.2435.2891
9-112.505-3.5378.5470.985
13-120.552-3.1534.2571
14-120.945-2.3284.2191
15-121.367-1.8564.5910.981
16-121.413-1.584.4070.954
17-120.74-3.234.7111
18-121.9-3.0326.8310.993
19-120.187-4.7445.1191
20-12-0.207-5.6865.2731
6-12-0.432-12.43711.5731
7-121.388-4.4937.271
8-12-0.389-5.5624.7851
9-122.593-2.8868.0730.953
14-130.394-2.7733.5611
15-130.816-2.33.9311
16-130.862-2.0153.7380.999
17-130.189-3.6944.0711
18-131.348-3.5146.2091
19-13-0.365-5.2264.4971
20-13-0.758-6.1754.6581
6-13-0.983-12.9610.9931
7-130.837-4.9866.6591
8-13-0.94-6.0474.1661
9-132.042-3.3757.4580.994
15-140.422-2.1653.0091
16-140.468-1.8272.7631
17-14-0.205-3.6793.2691
18-140.954-3.5875.4961
19-14-0.758-5.33.7831
20-14-1.152-6.2833.9791
6-14-1.377-13.22710.4731
7-140.443-5.1156.0011
8-14-1.334-6.1373.4691
9-141.648-3.4836.7790.999
16-150.046-2.1762.2681
17-15-0.627-4.0532.81
18-150.532-3.9735.0381
19-15-1.18-5.6853.3251
20-15-1.574-6.6733.5250.999
6-15-1.799-13.63510.0371
7-150.021-5.5085.551
8-15-1.756-6.5253.0130.995
9-151.226-3.8736.3251
17-16-0.673-3.8842.5381
18-160.486-3.8584.831
19-16-1.226-5.573.1181
20-16-1.62-6.5773.3370.999
6-16-1.845-13.6219.9311
7-16-0.025-5.4235.3731
8-16-1.802-6.4192.8150.991
9-161.18-3.7776.1371
18-171.159-3.9076.2261
19-17-0.553-5.624.5141
20-17-0.947-6.5484.6551
6-17-1.172-13.23310.8891
7-170.648-5.3476.6431
8-17-1.129-6.4314.1731
9-171.853-3.7487.4550.998
19-18-1.712-7.5634.1381
20-18-2.106-8.4254.2130.998
6-18-2.331-14.74210.0791
7-18-0.511-7.1826.1591
8-18-2.288-8.3443.7670.994
9-180.694-5.6257.0131
20-19-0.394-6.7135.9251
6-19-0.619-13.02911.7921
7-191.201-5.4697.8721
8-19-0.576-6.6325.481
9-192.406-3.9138.7250.993
6-20-0.225-12.86312.4131
7-201.595-5.498.681
8-20-0.182-6.6926.3281
9-202.8-3.9569.5560.985
7-61.82-10.99814.6381
8-60.043-12.46612.5521
9-63.025-9.61315.6631
8-7-1.777-8.6295.0741
9-71.205-5.888.291
9-82.982-3.5289.4920.964






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group141.0690.386
263 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 14 & 1.069 & 0.386 \tabularnewline
  & 263 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266253&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]1.069[/C][C]0.386[/C][/ROW]
[ROW][C] [/C][C]263[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266253&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266253&T=4

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


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

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group141.0690.386
263


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
Parameters (R input):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
R code (references can be found in the software module):
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')