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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, 16 Dec 2016 23:17:58 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/16/t1481926739kk6ro4dgp07bdme.htm/, Retrieved Thu, 02 May 2024 21:32:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300577, Retrieved Thu, 02 May 2024 21:32:19 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact61
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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [one way anova] [2016-12-16 22:17:58] [1e2c9196efc58119c3757b6c78ac7c5f] [Current]
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Dataseries X:
17	14
17	19
12	17
13	17
16	15
15	20
14	15
15	19
13	15
12	15
13	19
14	16
18	20
19	18
15	15
14	14
13	20
11	16
17	16
16	16
8	10
12	19
12	19
12	16
14	15
14	18
15	17
13	19
14	17
16	14
16	19
15	20
15	5
16	19
16	16
17	15
16	16
11	18
15	16
15	15
11	17
13	14
13	20
17	19
13	7
12	13
17	16
16	16
18	16
12	18
15	18
15	16
15	17
14	19
17	16
15	19
15	13
15	16
16	13
12	12
10	17
15	17
13	17
14	16
14	16
13	14
17	16
16	13
16	16
16	14
17	20
16	12
16	13
13	18
17	14
12	19
18	18
15	14
12	18
13	19
13	15
13	14
11	17
17	19
15	13
16	19
14	18
18	20
16	15
14	15
12	15
14	20
9	15
14	19
17	18
15	18
15	15
20	20
12	17
14	12
16	18
18	19
10	20
13	13
16	17
17	15
16	16
17	18
19	18
18	14
15	15
14	12
15	17
14	14
16	18
12	17
19	17
17	20
14	16
13	14
14	15
14	18
17	20
15	17
15	17
16	17
17	17
13	15
15	17
10	18
18	17
16	20
16	15
14	16
15	15
13	18
16	11
13	15
14	18
17	20
13	19
14	14
18	16
12	15
14	17
8	18
16	20
13	17
16	18
11	15
15	16
16	11
14	15
13	18
17	17
13	16
18	12
16	19
13	18
16	15
15	17
14	19
15	18
16	19
12	16
19	16
15	16
13	14




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300577&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300577&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300577&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center







ANOVA Model
KVDDSUM ~ ITHSUM
means886.86.7146.7146.047.2596.326.3336.7147.73375

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
KVDDSUM  ~  ITHSUM \tabularnewline
means & 8 & 8 & 6.8 & 6.714 & 6.714 & 6.04 & 7.259 & 6.32 & 6.333 & 6.714 & 7.733 & 7 & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300577&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]KVDDSUM  ~  ITHSUM[/C][/ROW]
[ROW][C]means[/C][C]8[/C][C]8[/C][C]6.8[/C][C]6.714[/C][C]6.714[/C][C]6.04[/C][C]7.259[/C][C]6.32[/C][C]6.333[/C][C]6.714[/C][C]7.733[/C][C]7[/C][C]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300577&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300577&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
KVDDSUM ~ ITHSUM
means886.86.7146.7146.047.2596.326.3336.7147.73375







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
ITHSUM1293.0567.7551.690.074
Residuals155711.2234.589

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
ITHSUM & 12 & 93.056 & 7.755 & 1.69 & 0.074 \tabularnewline
Residuals & 155 & 711.223 & 4.589 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300577&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]ITHSUM[/C][C]12[/C][C]93.056[/C][C]7.755[/C][C]1.69[/C][C]0.074[/C][/ROW]
[ROW][C]Residuals[/C][C]155[/C][C]711.223[/C][C]4.589[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300577&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300577&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)
ITHSUM1293.0567.7551.690.074
Residuals155711.2234.589







Tukey Honest Significant Difference Comparisons
difflwruprp adj
11-108-0.82916.8290.118
12-106.8-1.09714.6970.171
13-106.714-0.99214.4210.158
14-106.714-0.74714.1760.125
15-106.04-1.31113.3910.23
16-107.259-0.08214.60.056
17-106.32-1.03113.6710.173
18-106.333-1.02413.6910.171
19-106.714-0.66414.0930.115
20-107.7330.28815.1780.034
5-107-3.19417.1940.513
7-105-5.19415.1940.911
12-11-1.2-7.2314.8311
13-11-1.286-7.0654.4941
14-11-1.286-6.7354.1631
15-11-1.96-7.2573.3370.99
16-11-0.741-6.0234.5421
17-11-1.68-6.9773.6170.997
18-11-1.667-6.9723.6390.998
19-11-1.286-6.624.0491
20-11-0.267-5.6935.161
5-11-1-9.8297.8291
7-11-3-11.8295.8290.995
13-12-0.086-4.3074.1351
14-12-0.086-3.8413.671
15-12-0.76-4.2912.7711
16-120.459-3.053.9691
17-12-0.48-4.0113.0511
18-12-0.467-4.013.0771
19-12-0.086-3.6733.5011
20-120.933-2.7894.6561
5-120.2-7.6978.0971
7-12-1.8-9.6976.0971
14-130-3.3373.3371
15-13-0.674-3.7572.4081
16-130.545-2.5123.6021
17-13-0.394-3.4772.6881
18-13-0.381-3.4772.7161
19-130-3.1463.1461
20-131.019-2.2814.3190.998
5-130.286-7.4217.9921
7-13-1.714-9.4215.9921
15-14-0.674-3.0811.7320.999
16-140.545-1.8292.9191
17-14-0.394-2.8012.0121
18-14-0.381-2.8052.0431
19-140-2.4872.4871
20-141.019-1.663.6980.987
5-140.286-7.1767.7471
7-14-1.714-9.1765.7471
16-151.219-0.7823.220.698
17-150.28-1.7592.3191
18-150.293-1.7672.3531
19-150.674-1.4592.8080.998
20-151.693-0.6614.0480.436
5-150.96-6.3918.3111
7-15-1.04-8.3916.3111
17-16-0.939-2.941.0620.934
18-16-0.926-2.9481.0960.944
19-16-0.545-2.6421.5521
20-160.474-1.8472.7951
5-16-0.259-7.67.0821
7-16-2.259-9.65.0820.998
18-170.013-2.0472.0731
19-170.394-1.7392.5281
20-171.413-0.9413.7680.718
5-170.68-6.6718.0311
7-17-1.32-8.6716.0311
19-180.381-1.7732.5351
20-181.4-0.9733.7730.741
5-180.667-6.6918.0241
7-18-1.333-8.6916.0241
20-191.019-1.4183.4560.972
5-190.286-7.0937.6641
7-19-1.714-9.0935.6641
5-20-0.733-8.1786.7121
7-20-2.733-10.1784.7120.99
7-5-2-12.1948.1941

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
11-10 & 8 & -0.829 & 16.829 & 0.118 \tabularnewline
12-10 & 6.8 & -1.097 & 14.697 & 0.171 \tabularnewline
13-10 & 6.714 & -0.992 & 14.421 & 0.158 \tabularnewline
14-10 & 6.714 & -0.747 & 14.176 & 0.125 \tabularnewline
15-10 & 6.04 & -1.311 & 13.391 & 0.23 \tabularnewline
16-10 & 7.259 & -0.082 & 14.6 & 0.056 \tabularnewline
17-10 & 6.32 & -1.031 & 13.671 & 0.173 \tabularnewline
18-10 & 6.333 & -1.024 & 13.691 & 0.171 \tabularnewline
19-10 & 6.714 & -0.664 & 14.093 & 0.115 \tabularnewline
20-10 & 7.733 & 0.288 & 15.178 & 0.034 \tabularnewline
5-10 & 7 & -3.194 & 17.194 & 0.513 \tabularnewline
7-10 & 5 & -5.194 & 15.194 & 0.911 \tabularnewline
12-11 & -1.2 & -7.231 & 4.831 & 1 \tabularnewline
13-11 & -1.286 & -7.065 & 4.494 & 1 \tabularnewline
14-11 & -1.286 & -6.735 & 4.163 & 1 \tabularnewline
15-11 & -1.96 & -7.257 & 3.337 & 0.99 \tabularnewline
16-11 & -0.741 & -6.023 & 4.542 & 1 \tabularnewline
17-11 & -1.68 & -6.977 & 3.617 & 0.997 \tabularnewline
18-11 & -1.667 & -6.972 & 3.639 & 0.998 \tabularnewline
19-11 & -1.286 & -6.62 & 4.049 & 1 \tabularnewline
20-11 & -0.267 & -5.693 & 5.16 & 1 \tabularnewline
5-11 & -1 & -9.829 & 7.829 & 1 \tabularnewline
7-11 & -3 & -11.829 & 5.829 & 0.995 \tabularnewline
13-12 & -0.086 & -4.307 & 4.135 & 1 \tabularnewline
14-12 & -0.086 & -3.841 & 3.67 & 1 \tabularnewline
15-12 & -0.76 & -4.291 & 2.771 & 1 \tabularnewline
16-12 & 0.459 & -3.05 & 3.969 & 1 \tabularnewline
17-12 & -0.48 & -4.011 & 3.051 & 1 \tabularnewline
18-12 & -0.467 & -4.01 & 3.077 & 1 \tabularnewline
19-12 & -0.086 & -3.673 & 3.501 & 1 \tabularnewline
20-12 & 0.933 & -2.789 & 4.656 & 1 \tabularnewline
5-12 & 0.2 & -7.697 & 8.097 & 1 \tabularnewline
7-12 & -1.8 & -9.697 & 6.097 & 1 \tabularnewline
14-13 & 0 & -3.337 & 3.337 & 1 \tabularnewline
15-13 & -0.674 & -3.757 & 2.408 & 1 \tabularnewline
16-13 & 0.545 & -2.512 & 3.602 & 1 \tabularnewline
17-13 & -0.394 & -3.477 & 2.688 & 1 \tabularnewline
18-13 & -0.381 & -3.477 & 2.716 & 1 \tabularnewline
19-13 & 0 & -3.146 & 3.146 & 1 \tabularnewline
20-13 & 1.019 & -2.281 & 4.319 & 0.998 \tabularnewline
5-13 & 0.286 & -7.421 & 7.992 & 1 \tabularnewline
7-13 & -1.714 & -9.421 & 5.992 & 1 \tabularnewline
15-14 & -0.674 & -3.081 & 1.732 & 0.999 \tabularnewline
16-14 & 0.545 & -1.829 & 2.919 & 1 \tabularnewline
17-14 & -0.394 & -2.801 & 2.012 & 1 \tabularnewline
18-14 & -0.381 & -2.805 & 2.043 & 1 \tabularnewline
19-14 & 0 & -2.487 & 2.487 & 1 \tabularnewline
20-14 & 1.019 & -1.66 & 3.698 & 0.987 \tabularnewline
5-14 & 0.286 & -7.176 & 7.747 & 1 \tabularnewline
7-14 & -1.714 & -9.176 & 5.747 & 1 \tabularnewline
16-15 & 1.219 & -0.782 & 3.22 & 0.698 \tabularnewline
17-15 & 0.28 & -1.759 & 2.319 & 1 \tabularnewline
18-15 & 0.293 & -1.767 & 2.353 & 1 \tabularnewline
19-15 & 0.674 & -1.459 & 2.808 & 0.998 \tabularnewline
20-15 & 1.693 & -0.661 & 4.048 & 0.436 \tabularnewline
5-15 & 0.96 & -6.391 & 8.311 & 1 \tabularnewline
7-15 & -1.04 & -8.391 & 6.311 & 1 \tabularnewline
17-16 & -0.939 & -2.94 & 1.062 & 0.934 \tabularnewline
18-16 & -0.926 & -2.948 & 1.096 & 0.944 \tabularnewline
19-16 & -0.545 & -2.642 & 1.552 & 1 \tabularnewline
20-16 & 0.474 & -1.847 & 2.795 & 1 \tabularnewline
5-16 & -0.259 & -7.6 & 7.082 & 1 \tabularnewline
7-16 & -2.259 & -9.6 & 5.082 & 0.998 \tabularnewline
18-17 & 0.013 & -2.047 & 2.073 & 1 \tabularnewline
19-17 & 0.394 & -1.739 & 2.528 & 1 \tabularnewline
20-17 & 1.413 & -0.941 & 3.768 & 0.718 \tabularnewline
5-17 & 0.68 & -6.671 & 8.031 & 1 \tabularnewline
7-17 & -1.32 & -8.671 & 6.031 & 1 \tabularnewline
19-18 & 0.381 & -1.773 & 2.535 & 1 \tabularnewline
20-18 & 1.4 & -0.973 & 3.773 & 0.741 \tabularnewline
5-18 & 0.667 & -6.691 & 8.024 & 1 \tabularnewline
7-18 & -1.333 & -8.691 & 6.024 & 1 \tabularnewline
20-19 & 1.019 & -1.418 & 3.456 & 0.972 \tabularnewline
5-19 & 0.286 & -7.093 & 7.664 & 1 \tabularnewline
7-19 & -1.714 & -9.093 & 5.664 & 1 \tabularnewline
5-20 & -0.733 & -8.178 & 6.712 & 1 \tabularnewline
7-20 & -2.733 & -10.178 & 4.712 & 0.99 \tabularnewline
7-5 & -2 & -12.194 & 8.194 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300577&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]8[/C][C]-0.829[/C][C]16.829[/C][C]0.118[/C][/ROW]
[ROW][C]12-10[/C][C]6.8[/C][C]-1.097[/C][C]14.697[/C][C]0.171[/C][/ROW]
[ROW][C]13-10[/C][C]6.714[/C][C]-0.992[/C][C]14.421[/C][C]0.158[/C][/ROW]
[ROW][C]14-10[/C][C]6.714[/C][C]-0.747[/C][C]14.176[/C][C]0.125[/C][/ROW]
[ROW][C]15-10[/C][C]6.04[/C][C]-1.311[/C][C]13.391[/C][C]0.23[/C][/ROW]
[ROW][C]16-10[/C][C]7.259[/C][C]-0.082[/C][C]14.6[/C][C]0.056[/C][/ROW]
[ROW][C]17-10[/C][C]6.32[/C][C]-1.031[/C][C]13.671[/C][C]0.173[/C][/ROW]
[ROW][C]18-10[/C][C]6.333[/C][C]-1.024[/C][C]13.691[/C][C]0.171[/C][/ROW]
[ROW][C]19-10[/C][C]6.714[/C][C]-0.664[/C][C]14.093[/C][C]0.115[/C][/ROW]
[ROW][C]20-10[/C][C]7.733[/C][C]0.288[/C][C]15.178[/C][C]0.034[/C][/ROW]
[ROW][C]5-10[/C][C]7[/C][C]-3.194[/C][C]17.194[/C][C]0.513[/C][/ROW]
[ROW][C]7-10[/C][C]5[/C][C]-5.194[/C][C]15.194[/C][C]0.911[/C][/ROW]
[ROW][C]12-11[/C][C]-1.2[/C][C]-7.231[/C][C]4.831[/C][C]1[/C][/ROW]
[ROW][C]13-11[/C][C]-1.286[/C][C]-7.065[/C][C]4.494[/C][C]1[/C][/ROW]
[ROW][C]14-11[/C][C]-1.286[/C][C]-6.735[/C][C]4.163[/C][C]1[/C][/ROW]
[ROW][C]15-11[/C][C]-1.96[/C][C]-7.257[/C][C]3.337[/C][C]0.99[/C][/ROW]
[ROW][C]16-11[/C][C]-0.741[/C][C]-6.023[/C][C]4.542[/C][C]1[/C][/ROW]
[ROW][C]17-11[/C][C]-1.68[/C][C]-6.977[/C][C]3.617[/C][C]0.997[/C][/ROW]
[ROW][C]18-11[/C][C]-1.667[/C][C]-6.972[/C][C]3.639[/C][C]0.998[/C][/ROW]
[ROW][C]19-11[/C][C]-1.286[/C][C]-6.62[/C][C]4.049[/C][C]1[/C][/ROW]
[ROW][C]20-11[/C][C]-0.267[/C][C]-5.693[/C][C]5.16[/C][C]1[/C][/ROW]
[ROW][C]5-11[/C][C]-1[/C][C]-9.829[/C][C]7.829[/C][C]1[/C][/ROW]
[ROW][C]7-11[/C][C]-3[/C][C]-11.829[/C][C]5.829[/C][C]0.995[/C][/ROW]
[ROW][C]13-12[/C][C]-0.086[/C][C]-4.307[/C][C]4.135[/C][C]1[/C][/ROW]
[ROW][C]14-12[/C][C]-0.086[/C][C]-3.841[/C][C]3.67[/C][C]1[/C][/ROW]
[ROW][C]15-12[/C][C]-0.76[/C][C]-4.291[/C][C]2.771[/C][C]1[/C][/ROW]
[ROW][C]16-12[/C][C]0.459[/C][C]-3.05[/C][C]3.969[/C][C]1[/C][/ROW]
[ROW][C]17-12[/C][C]-0.48[/C][C]-4.011[/C][C]3.051[/C][C]1[/C][/ROW]
[ROW][C]18-12[/C][C]-0.467[/C][C]-4.01[/C][C]3.077[/C][C]1[/C][/ROW]
[ROW][C]19-12[/C][C]-0.086[/C][C]-3.673[/C][C]3.501[/C][C]1[/C][/ROW]
[ROW][C]20-12[/C][C]0.933[/C][C]-2.789[/C][C]4.656[/C][C]1[/C][/ROW]
[ROW][C]5-12[/C][C]0.2[/C][C]-7.697[/C][C]8.097[/C][C]1[/C][/ROW]
[ROW][C]7-12[/C][C]-1.8[/C][C]-9.697[/C][C]6.097[/C][C]1[/C][/ROW]
[ROW][C]14-13[/C][C]0[/C][C]-3.337[/C][C]3.337[/C][C]1[/C][/ROW]
[ROW][C]15-13[/C][C]-0.674[/C][C]-3.757[/C][C]2.408[/C][C]1[/C][/ROW]
[ROW][C]16-13[/C][C]0.545[/C][C]-2.512[/C][C]3.602[/C][C]1[/C][/ROW]
[ROW][C]17-13[/C][C]-0.394[/C][C]-3.477[/C][C]2.688[/C][C]1[/C][/ROW]
[ROW][C]18-13[/C][C]-0.381[/C][C]-3.477[/C][C]2.716[/C][C]1[/C][/ROW]
[ROW][C]19-13[/C][C]0[/C][C]-3.146[/C][C]3.146[/C][C]1[/C][/ROW]
[ROW][C]20-13[/C][C]1.019[/C][C]-2.281[/C][C]4.319[/C][C]0.998[/C][/ROW]
[ROW][C]5-13[/C][C]0.286[/C][C]-7.421[/C][C]7.992[/C][C]1[/C][/ROW]
[ROW][C]7-13[/C][C]-1.714[/C][C]-9.421[/C][C]5.992[/C][C]1[/C][/ROW]
[ROW][C]15-14[/C][C]-0.674[/C][C]-3.081[/C][C]1.732[/C][C]0.999[/C][/ROW]
[ROW][C]16-14[/C][C]0.545[/C][C]-1.829[/C][C]2.919[/C][C]1[/C][/ROW]
[ROW][C]17-14[/C][C]-0.394[/C][C]-2.801[/C][C]2.012[/C][C]1[/C][/ROW]
[ROW][C]18-14[/C][C]-0.381[/C][C]-2.805[/C][C]2.043[/C][C]1[/C][/ROW]
[ROW][C]19-14[/C][C]0[/C][C]-2.487[/C][C]2.487[/C][C]1[/C][/ROW]
[ROW][C]20-14[/C][C]1.019[/C][C]-1.66[/C][C]3.698[/C][C]0.987[/C][/ROW]
[ROW][C]5-14[/C][C]0.286[/C][C]-7.176[/C][C]7.747[/C][C]1[/C][/ROW]
[ROW][C]7-14[/C][C]-1.714[/C][C]-9.176[/C][C]5.747[/C][C]1[/C][/ROW]
[ROW][C]16-15[/C][C]1.219[/C][C]-0.782[/C][C]3.22[/C][C]0.698[/C][/ROW]
[ROW][C]17-15[/C][C]0.28[/C][C]-1.759[/C][C]2.319[/C][C]1[/C][/ROW]
[ROW][C]18-15[/C][C]0.293[/C][C]-1.767[/C][C]2.353[/C][C]1[/C][/ROW]
[ROW][C]19-15[/C][C]0.674[/C][C]-1.459[/C][C]2.808[/C][C]0.998[/C][/ROW]
[ROW][C]20-15[/C][C]1.693[/C][C]-0.661[/C][C]4.048[/C][C]0.436[/C][/ROW]
[ROW][C]5-15[/C][C]0.96[/C][C]-6.391[/C][C]8.311[/C][C]1[/C][/ROW]
[ROW][C]7-15[/C][C]-1.04[/C][C]-8.391[/C][C]6.311[/C][C]1[/C][/ROW]
[ROW][C]17-16[/C][C]-0.939[/C][C]-2.94[/C][C]1.062[/C][C]0.934[/C][/ROW]
[ROW][C]18-16[/C][C]-0.926[/C][C]-2.948[/C][C]1.096[/C][C]0.944[/C][/ROW]
[ROW][C]19-16[/C][C]-0.545[/C][C]-2.642[/C][C]1.552[/C][C]1[/C][/ROW]
[ROW][C]20-16[/C][C]0.474[/C][C]-1.847[/C][C]2.795[/C][C]1[/C][/ROW]
[ROW][C]5-16[/C][C]-0.259[/C][C]-7.6[/C][C]7.082[/C][C]1[/C][/ROW]
[ROW][C]7-16[/C][C]-2.259[/C][C]-9.6[/C][C]5.082[/C][C]0.998[/C][/ROW]
[ROW][C]18-17[/C][C]0.013[/C][C]-2.047[/C][C]2.073[/C][C]1[/C][/ROW]
[ROW][C]19-17[/C][C]0.394[/C][C]-1.739[/C][C]2.528[/C][C]1[/C][/ROW]
[ROW][C]20-17[/C][C]1.413[/C][C]-0.941[/C][C]3.768[/C][C]0.718[/C][/ROW]
[ROW][C]5-17[/C][C]0.68[/C][C]-6.671[/C][C]8.031[/C][C]1[/C][/ROW]
[ROW][C]7-17[/C][C]-1.32[/C][C]-8.671[/C][C]6.031[/C][C]1[/C][/ROW]
[ROW][C]19-18[/C][C]0.381[/C][C]-1.773[/C][C]2.535[/C][C]1[/C][/ROW]
[ROW][C]20-18[/C][C]1.4[/C][C]-0.973[/C][C]3.773[/C][C]0.741[/C][/ROW]
[ROW][C]5-18[/C][C]0.667[/C][C]-6.691[/C][C]8.024[/C][C]1[/C][/ROW]
[ROW][C]7-18[/C][C]-1.333[/C][C]-8.691[/C][C]6.024[/C][C]1[/C][/ROW]
[ROW][C]20-19[/C][C]1.019[/C][C]-1.418[/C][C]3.456[/C][C]0.972[/C][/ROW]
[ROW][C]5-19[/C][C]0.286[/C][C]-7.093[/C][C]7.664[/C][C]1[/C][/ROW]
[ROW][C]7-19[/C][C]-1.714[/C][C]-9.093[/C][C]5.664[/C][C]1[/C][/ROW]
[ROW][C]5-20[/C][C]-0.733[/C][C]-8.178[/C][C]6.712[/C][C]1[/C][/ROW]
[ROW][C]7-20[/C][C]-2.733[/C][C]-10.178[/C][C]4.712[/C][C]0.99[/C][/ROW]
[ROW][C]7-5[/C][C]-2[/C][C]-12.194[/C][C]8.194[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300577&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300577&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
11-108-0.82916.8290.118
12-106.8-1.09714.6970.171
13-106.714-0.99214.4210.158
14-106.714-0.74714.1760.125
15-106.04-1.31113.3910.23
16-107.259-0.08214.60.056
17-106.32-1.03113.6710.173
18-106.333-1.02413.6910.171
19-106.714-0.66414.0930.115
20-107.7330.28815.1780.034
5-107-3.19417.1940.513
7-105-5.19415.1940.911
12-11-1.2-7.2314.8311
13-11-1.286-7.0654.4941
14-11-1.286-6.7354.1631
15-11-1.96-7.2573.3370.99
16-11-0.741-6.0234.5421
17-11-1.68-6.9773.6170.997
18-11-1.667-6.9723.6390.998
19-11-1.286-6.624.0491
20-11-0.267-5.6935.161
5-11-1-9.8297.8291
7-11-3-11.8295.8290.995
13-12-0.086-4.3074.1351
14-12-0.086-3.8413.671
15-12-0.76-4.2912.7711
16-120.459-3.053.9691
17-12-0.48-4.0113.0511
18-12-0.467-4.013.0771
19-12-0.086-3.6733.5011
20-120.933-2.7894.6561
5-120.2-7.6978.0971
7-12-1.8-9.6976.0971
14-130-3.3373.3371
15-13-0.674-3.7572.4081
16-130.545-2.5123.6021
17-13-0.394-3.4772.6881
18-13-0.381-3.4772.7161
19-130-3.1463.1461
20-131.019-2.2814.3190.998
5-130.286-7.4217.9921
7-13-1.714-9.4215.9921
15-14-0.674-3.0811.7320.999
16-140.545-1.8292.9191
17-14-0.394-2.8012.0121
18-14-0.381-2.8052.0431
19-140-2.4872.4871
20-141.019-1.663.6980.987
5-140.286-7.1767.7471
7-14-1.714-9.1765.7471
16-151.219-0.7823.220.698
17-150.28-1.7592.3191
18-150.293-1.7672.3531
19-150.674-1.4592.8080.998
20-151.693-0.6614.0480.436
5-150.96-6.3918.3111
7-15-1.04-8.3916.3111
17-16-0.939-2.941.0620.934
18-16-0.926-2.9481.0960.944
19-16-0.545-2.6421.5521
20-160.474-1.8472.7951
5-16-0.259-7.67.0821
7-16-2.259-9.65.0820.998
18-170.013-2.0472.0731
19-170.394-1.7392.5281
20-171.413-0.9413.7680.718
5-170.68-6.6718.0311
7-17-1.32-8.6716.0311
19-180.381-1.7732.5351
20-181.4-0.9733.7730.741
5-180.667-6.6918.0241
7-18-1.333-8.6916.0241
20-191.019-1.4183.4560.972
5-190.286-7.0937.6641
7-19-1.714-9.0935.6641
5-20-0.733-8.1786.7121
7-20-2.733-10.1784.7120.99
7-5-2-12.1948.1941







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group120.9980.453
155

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 12 & 0.998 & 0.453 \tabularnewline
  & 155 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300577&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]12[/C][C]0.998[/C][C]0.453[/C][/ROW]
[ROW][C] [/C][C]155[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300577&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300577&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)
Group120.9980.453
155



Parameters (Session):
par1 = 11111 ; par2 = 22222 ; par3 = TRUETRUETRUEFALSETRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'FALSE'
par2 <- '2'
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')