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Author

*The author of this computation has been verified*

R Software Module

rwasp_One Factor ANOVA.wasp

Title produced by software

One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)

Date of computation

Thu, 08 Dec 2016 13:12:10 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/08/t148119914580vj0vxte2925x7.htm/, Retrieved Fri, 01 Nov 2024 03:39:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298342, Retrieved Fri, 01 Nov 2024 03:39:43 +0000

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127

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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [D] [2016-12-08 12:12:10] [2802fcbee976b89d2ab84425d3d65dcf] [Current]

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Boxplots

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	Big 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=298342&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=298342&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298342&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 Output	view raw output of R engine
Computing time	4 seconds
R Server	Big Analytics Cloud Computing Center

ANOVA Model
TVDCSUM ~ KVDDSUM
means	8.222	5.111	2.111	2.578	0.952	4.386	1.338	0.739	-0.833	-3.222	1.778	9.778	5.778	-8.222

\begin{tabular}{lllllllll}
\hline

ANOVA Model \tabularnewline

TVDCSUM ~ KVDDSUM \tabularnewline means & 8.222 & 5.111 & 2.111 & 2.578 & 0.952 & 4.386 & 1.338 & 0.739 & -0.833 & -3.222 & 1.778 & 9.778 & 5.778 & -8.222 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=298342&T=1

[TABLE]
[ROW]

ANOVA Model[/C][/ROW] [ROW]

TVDCSUM ~ KVDDSUM[/C][/ROW] [ROW][C]means[/C][C]8.222[/C][C]5.111[/C][C]2.111[/C][C]2.578[/C][C]0.952[/C][C]4.386[/C][C]1.338[/C][C]0.739[/C][C]-0.833[/C][C]-3.222[/C][C]1.778[/C][C]9.778[/C][C]5.778[/C][C]-8.222[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298342&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298342&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
TVDCSUM ~ KVDDSUM
means	8.222	5.111	2.111	2.578	0.952	4.386	1.338	0.739	-0.833	-3.222	1.778	9.778	5.778	-8.222

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
KVDDSUM	13	778.441	59.88	1.007	0.447
Residuals	155	9213.026	59.439

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
KVDDSUM & 13 & 778.441 & 59.88 & 1.007 & 0.447 \tabularnewline
Residuals & 155 & 9213.026 & 59.439 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298342&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]KVDDSUM[/C][C]13[/C][C]778.441[/C][C]59.88[/C][C]1.007[/C][C]0.447[/C][/ROW]
[ROW][C]Residuals[/C][C]155[/C][C]9213.026[/C][C]59.439[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298342&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298342&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
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
KVDDSUM	13	778.441	59.88	1.007	0.447
Residuals	155	9213.026	59.439

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
10-0	5.111	-11.273	21.495	0.999
11-0	2.111	-14.273	18.495	1
12-0	2.578	-6.607	11.763	1
13-0	0.952	-7.316	9.22	1
14-0	4.386	-3.881	12.654	0.869
15-0	1.338	-6.784	9.459	1
16-0	0.739	-7.317	8.795	1
17-0	-0.833	-9.591	7.924	1
18-0	-3.222	-13.948	7.504	0.999
19-0	1.778	-14.606	18.162	1
20-0	9.778	-17.215	36.771	0.994
8-0	5.778	-21.215	32.771	1
9-0	-8.222	-35.215	18.771	0.999
11-10	-3	-24.452	18.452	1
12-10	-2.533	-19.15	14.083	1
13-10	-4.159	-20.287	11.968	1
14-10	-0.725	-16.852	15.403	1
15-10	-3.773	-19.826	12.28	1
16-10	-4.372	-20.392	11.648	1
17-10	-5.944	-22.328	10.44	0.994
18-10	-8.333	-25.849	9.182	0.938
19-10	-3.333	-24.785	18.118	1
20-10	4.667	-25.671	35.004	1
8-10	0.667	-29.671	31.004	1
9-10	-13.333	-43.671	17.004	0.966
12-11	0.467	-16.15	17.083	1
13-11	-1.159	-17.287	14.968	1
14-11	2.275	-13.852	18.403	1
15-11	-0.773	-16.826	15.28	1
16-11	-1.372	-17.392	14.648	1
17-11	-2.944	-19.328	13.44	1
18-11	-5.333	-22.849	12.182	0.999
19-11	-0.333	-21.785	21.118	1
20-11	7.667	-22.671	38.004	1
8-11	3.667	-26.671	34.004	1
9-11	-10.333	-40.671	20.004	0.997
13-12	-1.626	-10.346	7.093	1
14-12	1.809	-6.911	10.528	1
15-12	-1.24	-9.821	7.341	1
16-12	-1.838	-10.357	6.68	1
17-12	-3.411	-12.596	5.774	0.992
18-12	-5.8	-16.878	5.278	0.88
19-12	-0.8	-17.416	15.816	1
20-12	7.2	-19.934	34.334	1
8-12	3.2	-23.934	30.334	1
9-12	-10.8	-37.934	16.334	0.985
14-13	3.435	-4.313	11.182	0.964
15-13	0.386	-7.205	7.977	1
16-13	-0.212	-7.733	7.308	1
17-13	-1.785	-10.053	6.483	1
18-13	-4.174	-14.504	6.156	0.983
19-13	0.826	-15.301	16.954	1
20-13	8.826	-18.012	35.664	0.998
8-13	4.826	-22.012	31.664	1
9-13	-9.174	-36.012	17.664	0.996
15-14	-3.049	-10.64	4.542	0.984
16-14	-3.647	-11.168	3.873	0.929
17-14	-5.22	-13.488	3.048	0.665
18-14	-7.609	-17.939	2.721	0.408
19-14	-2.609	-18.736	13.519	1
20-14	5.391	-21.447	32.229	1
8-14	1.391	-25.447	28.229	1
9-14	-12.609	-39.447	14.229	0.943
16-15	-0.598	-7.958	6.761	1
17-15	-2.171	-10.293	5.95	1
18-15	-4.56	-14.773	5.653	0.962
19-15	0.44	-15.613	16.493	1
20-15	8.44	-18.353	35.233	0.998
8-15	4.44	-22.353	31.233	1
9-15	-9.56	-36.353	17.233	0.995
17-16	-1.573	-9.628	6.483	1
18-16	-3.962	-14.122	6.199	0.988
19-16	1.038	-14.981	17.058	1
20-16	9.038	-17.735	35.812	0.997
8-16	5.038	-21.735	31.812	1
9-16	-8.962	-35.735	17.812	0.997
18-17	-2.389	-13.115	8.337	1
19-17	2.611	-13.773	18.995	1
20-17	10.611	-16.382	37.604	0.987
8-17	6.611	-20.382	33.604	1
9-17	-7.389	-34.382	19.604	1
19-18	5	-12.515	22.515	0.999
20-18	13	-14.694	40.694	0.944
8-18	9	-18.694	36.694	0.998
9-18	-5	-32.694	22.694	1
20-19	8	-22.337	38.337	1
8-19	4	-26.337	34.337	1
9-19	-10	-40.337	20.337	0.997
8-20	-4	-41.155	33.155	1
9-20	-18	-55.155	19.155	0.929
9-8	-14	-51.155	23.155	0.991

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
10-0 & 5.111 & -11.273 & 21.495 & 0.999 \tabularnewline
11-0 & 2.111 & -14.273 & 18.495 & 1 \tabularnewline
12-0 & 2.578 & -6.607 & 11.763 & 1 \tabularnewline
13-0 & 0.952 & -7.316 & 9.22 & 1 \tabularnewline
14-0 & 4.386 & -3.881 & 12.654 & 0.869 \tabularnewline
15-0 & 1.338 & -6.784 & 9.459 & 1 \tabularnewline
16-0 & 0.739 & -7.317 & 8.795 & 1 \tabularnewline
17-0 & -0.833 & -9.591 & 7.924 & 1 \tabularnewline
18-0 & -3.222 & -13.948 & 7.504 & 0.999 \tabularnewline
19-0 & 1.778 & -14.606 & 18.162 & 1 \tabularnewline
20-0 & 9.778 & -17.215 & 36.771 & 0.994 \tabularnewline
8-0 & 5.778 & -21.215 & 32.771 & 1 \tabularnewline
9-0 & -8.222 & -35.215 & 18.771 & 0.999 \tabularnewline
11-10 & -3 & -24.452 & 18.452 & 1 \tabularnewline
12-10 & -2.533 & -19.15 & 14.083 & 1 \tabularnewline
13-10 & -4.159 & -20.287 & 11.968 & 1 \tabularnewline
14-10 & -0.725 & -16.852 & 15.403 & 1 \tabularnewline
15-10 & -3.773 & -19.826 & 12.28 & 1 \tabularnewline
16-10 & -4.372 & -20.392 & 11.648 & 1 \tabularnewline
17-10 & -5.944 & -22.328 & 10.44 & 0.994 \tabularnewline
18-10 & -8.333 & -25.849 & 9.182 & 0.938 \tabularnewline
19-10 & -3.333 & -24.785 & 18.118 & 1 \tabularnewline
20-10 & 4.667 & -25.671 & 35.004 & 1 \tabularnewline
8-10 & 0.667 & -29.671 & 31.004 & 1 \tabularnewline
9-10 & -13.333 & -43.671 & 17.004 & 0.966 \tabularnewline
12-11 & 0.467 & -16.15 & 17.083 & 1 \tabularnewline
13-11 & -1.159 & -17.287 & 14.968 & 1 \tabularnewline
14-11 & 2.275 & -13.852 & 18.403 & 1 \tabularnewline
15-11 & -0.773 & -16.826 & 15.28 & 1 \tabularnewline
16-11 & -1.372 & -17.392 & 14.648 & 1 \tabularnewline
17-11 & -2.944 & -19.328 & 13.44 & 1 \tabularnewline
18-11 & -5.333 & -22.849 & 12.182 & 0.999 \tabularnewline
19-11 & -0.333 & -21.785 & 21.118 & 1 \tabularnewline
20-11 & 7.667 & -22.671 & 38.004 & 1 \tabularnewline
8-11 & 3.667 & -26.671 & 34.004 & 1 \tabularnewline
9-11 & -10.333 & -40.671 & 20.004 & 0.997 \tabularnewline
13-12 & -1.626 & -10.346 & 7.093 & 1 \tabularnewline
14-12 & 1.809 & -6.911 & 10.528 & 1 \tabularnewline
15-12 & -1.24 & -9.821 & 7.341 & 1 \tabularnewline
16-12 & -1.838 & -10.357 & 6.68 & 1 \tabularnewline
17-12 & -3.411 & -12.596 & 5.774 & 0.992 \tabularnewline
18-12 & -5.8 & -16.878 & 5.278 & 0.88 \tabularnewline
19-12 & -0.8 & -17.416 & 15.816 & 1 \tabularnewline
20-12 & 7.2 & -19.934 & 34.334 & 1 \tabularnewline
8-12 & 3.2 & -23.934 & 30.334 & 1 \tabularnewline
9-12 & -10.8 & -37.934 & 16.334 & 0.985 \tabularnewline
14-13 & 3.435 & -4.313 & 11.182 & 0.964 \tabularnewline
15-13 & 0.386 & -7.205 & 7.977 & 1 \tabularnewline
16-13 & -0.212 & -7.733 & 7.308 & 1 \tabularnewline
17-13 & -1.785 & -10.053 & 6.483 & 1 \tabularnewline
18-13 & -4.174 & -14.504 & 6.156 & 0.983 \tabularnewline
19-13 & 0.826 & -15.301 & 16.954 & 1 \tabularnewline
20-13 & 8.826 & -18.012 & 35.664 & 0.998 \tabularnewline
8-13 & 4.826 & -22.012 & 31.664 & 1 \tabularnewline
9-13 & -9.174 & -36.012 & 17.664 & 0.996 \tabularnewline
15-14 & -3.049 & -10.64 & 4.542 & 0.984 \tabularnewline
16-14 & -3.647 & -11.168 & 3.873 & 0.929 \tabularnewline
17-14 & -5.22 & -13.488 & 3.048 & 0.665 \tabularnewline
18-14 & -7.609 & -17.939 & 2.721 & 0.408 \tabularnewline
19-14 & -2.609 & -18.736 & 13.519 & 1 \tabularnewline
20-14 & 5.391 & -21.447 & 32.229 & 1 \tabularnewline
8-14 & 1.391 & -25.447 & 28.229 & 1 \tabularnewline
9-14 & -12.609 & -39.447 & 14.229 & 0.943 \tabularnewline
16-15 & -0.598 & -7.958 & 6.761 & 1 \tabularnewline
17-15 & -2.171 & -10.293 & 5.95 & 1 \tabularnewline
18-15 & -4.56 & -14.773 & 5.653 & 0.962 \tabularnewline
19-15 & 0.44 & -15.613 & 16.493 & 1 \tabularnewline
20-15 & 8.44 & -18.353 & 35.233 & 0.998 \tabularnewline
8-15 & 4.44 & -22.353 & 31.233 & 1 \tabularnewline
9-15 & -9.56 & -36.353 & 17.233 & 0.995 \tabularnewline
17-16 & -1.573 & -9.628 & 6.483 & 1 \tabularnewline
18-16 & -3.962 & -14.122 & 6.199 & 0.988 \tabularnewline
19-16 & 1.038 & -14.981 & 17.058 & 1 \tabularnewline
20-16 & 9.038 & -17.735 & 35.812 & 0.997 \tabularnewline
8-16 & 5.038 & -21.735 & 31.812 & 1 \tabularnewline
9-16 & -8.962 & -35.735 & 17.812 & 0.997 \tabularnewline
18-17 & -2.389 & -13.115 & 8.337 & 1 \tabularnewline
19-17 & 2.611 & -13.773 & 18.995 & 1 \tabularnewline
20-17 & 10.611 & -16.382 & 37.604 & 0.987 \tabularnewline
8-17 & 6.611 & -20.382 & 33.604 & 1 \tabularnewline
9-17 & -7.389 & -34.382 & 19.604 & 1 \tabularnewline
19-18 & 5 & -12.515 & 22.515 & 0.999 \tabularnewline
20-18 & 13 & -14.694 & 40.694 & 0.944 \tabularnewline
8-18 & 9 & -18.694 & 36.694 & 0.998 \tabularnewline
9-18 & -5 & -32.694 & 22.694 & 1 \tabularnewline
20-19 & 8 & -22.337 & 38.337 & 1 \tabularnewline
8-19 & 4 & -26.337 & 34.337 & 1 \tabularnewline
9-19 & -10 & -40.337 & 20.337 & 0.997 \tabularnewline
8-20 & -4 & -41.155 & 33.155 & 1 \tabularnewline
9-20 & -18 & -55.155 & 19.155 & 0.929 \tabularnewline
9-8 & -14 & -51.155 & 23.155 & 0.991 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298342&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]10-0[/C][C]5.111[/C][C]-11.273[/C][C]21.495[/C][C]0.999[/C][/ROW]
[ROW][C]11-0[/C][C]2.111[/C][C]-14.273[/C][C]18.495[/C][C]1[/C][/ROW]
[ROW][C]12-0[/C][C]2.578[/C][C]-6.607[/C][C]11.763[/C][C]1[/C][/ROW]
[ROW][C]13-0[/C][C]0.952[/C][C]-7.316[/C][C]9.22[/C][C]1[/C][/ROW]
[ROW][C]14-0[/C][C]4.386[/C][C]-3.881[/C][C]12.654[/C][C]0.869[/C][/ROW]
[ROW][C]15-0[/C][C]1.338[/C][C]-6.784[/C][C]9.459[/C][C]1[/C][/ROW]
[ROW][C]16-0[/C][C]0.739[/C][C]-7.317[/C][C]8.795[/C][C]1[/C][/ROW]
[ROW][C]17-0[/C][C]-0.833[/C][C]-9.591[/C][C]7.924[/C][C]1[/C][/ROW]
[ROW][C]18-0[/C][C]-3.222[/C][C]-13.948[/C][C]7.504[/C][C]0.999[/C][/ROW]
[ROW][C]19-0[/C][C]1.778[/C][C]-14.606[/C][C]18.162[/C][C]1[/C][/ROW]
[ROW][C]20-0[/C][C]9.778[/C][C]-17.215[/C][C]36.771[/C][C]0.994[/C][/ROW]
[ROW][C]8-0[/C][C]5.778[/C][C]-21.215[/C][C]32.771[/C][C]1[/C][/ROW]
[ROW][C]9-0[/C][C]-8.222[/C][C]-35.215[/C][C]18.771[/C][C]0.999[/C][/ROW]
[ROW][C]11-10[/C][C]-3[/C][C]-24.452[/C][C]18.452[/C][C]1[/C][/ROW]
[ROW][C]12-10[/C][C]-2.533[/C][C]-19.15[/C][C]14.083[/C][C]1[/C][/ROW]
[ROW][C]13-10[/C][C]-4.159[/C][C]-20.287[/C][C]11.968[/C][C]1[/C][/ROW]
[ROW][C]14-10[/C][C]-0.725[/C][C]-16.852[/C][C]15.403[/C][C]1[/C][/ROW]
[ROW][C]15-10[/C][C]-3.773[/C][C]-19.826[/C][C]12.28[/C][C]1[/C][/ROW]
[ROW][C]16-10[/C][C]-4.372[/C][C]-20.392[/C][C]11.648[/C][C]1[/C][/ROW]
[ROW][C]17-10[/C][C]-5.944[/C][C]-22.328[/C][C]10.44[/C][C]0.994[/C][/ROW]
[ROW][C]18-10[/C][C]-8.333[/C][C]-25.849[/C][C]9.182[/C][C]0.938[/C][/ROW]
[ROW][C]19-10[/C][C]-3.333[/C][C]-24.785[/C][C]18.118[/C][C]1[/C][/ROW]
[ROW][C]20-10[/C][C]4.667[/C][C]-25.671[/C][C]35.004[/C][C]1[/C][/ROW]
[ROW][C]8-10[/C][C]0.667[/C][C]-29.671[/C][C]31.004[/C][C]1[/C][/ROW]
[ROW][C]9-10[/C][C]-13.333[/C][C]-43.671[/C][C]17.004[/C][C]0.966[/C][/ROW]
[ROW][C]12-11[/C][C]0.467[/C][C]-16.15[/C][C]17.083[/C][C]1[/C][/ROW]
[ROW][C]13-11[/C][C]-1.159[/C][C]-17.287[/C][C]14.968[/C][C]1[/C][/ROW]
[ROW][C]14-11[/C][C]2.275[/C][C]-13.852[/C][C]18.403[/C][C]1[/C][/ROW]
[ROW][C]15-11[/C][C]-0.773[/C][C]-16.826[/C][C]15.28[/C][C]1[/C][/ROW]
[ROW][C]16-11[/C][C]-1.372[/C][C]-17.392[/C][C]14.648[/C][C]1[/C][/ROW]
[ROW][C]17-11[/C][C]-2.944[/C][C]-19.328[/C][C]13.44[/C][C]1[/C][/ROW]
[ROW][C]18-11[/C][C]-5.333[/C][C]-22.849[/C][C]12.182[/C][C]0.999[/C][/ROW]
[ROW][C]19-11[/C][C]-0.333[/C][C]-21.785[/C][C]21.118[/C][C]1[/C][/ROW]
[ROW][C]20-11[/C][C]7.667[/C][C]-22.671[/C][C]38.004[/C][C]1[/C][/ROW]
[ROW][C]8-11[/C][C]3.667[/C][C]-26.671[/C][C]34.004[/C][C]1[/C][/ROW]
[ROW][C]9-11[/C][C]-10.333[/C][C]-40.671[/C][C]20.004[/C][C]0.997[/C][/ROW]
[ROW][C]13-12[/C][C]-1.626[/C][C]-10.346[/C][C]7.093[/C][C]1[/C][/ROW]
[ROW][C]14-12[/C][C]1.809[/C][C]-6.911[/C][C]10.528[/C][C]1[/C][/ROW]
[ROW][C]15-12[/C][C]-1.24[/C][C]-9.821[/C][C]7.341[/C][C]1[/C][/ROW]
[ROW][C]16-12[/C][C]-1.838[/C][C]-10.357[/C][C]6.68[/C][C]1[/C][/ROW]
[ROW][C]17-12[/C][C]-3.411[/C][C]-12.596[/C][C]5.774[/C][C]0.992[/C][/ROW]
[ROW][C]18-12[/C][C]-5.8[/C][C]-16.878[/C][C]5.278[/C][C]0.88[/C][/ROW]
[ROW][C]19-12[/C][C]-0.8[/C][C]-17.416[/C][C]15.816[/C][C]1[/C][/ROW]
[ROW][C]20-12[/C][C]7.2[/C][C]-19.934[/C][C]34.334[/C][C]1[/C][/ROW]
[ROW][C]8-12[/C][C]3.2[/C][C]-23.934[/C][C]30.334[/C][C]1[/C][/ROW]
[ROW][C]9-12[/C][C]-10.8[/C][C]-37.934[/C][C]16.334[/C][C]0.985[/C][/ROW]
[ROW][C]14-13[/C][C]3.435[/C][C]-4.313[/C][C]11.182[/C][C]0.964[/C][/ROW]
[ROW][C]15-13[/C][C]0.386[/C][C]-7.205[/C][C]7.977[/C][C]1[/C][/ROW]
[ROW][C]16-13[/C][C]-0.212[/C][C]-7.733[/C][C]7.308[/C][C]1[/C][/ROW]
[ROW][C]17-13[/C][C]-1.785[/C][C]-10.053[/C][C]6.483[/C][C]1[/C][/ROW]
[ROW][C]18-13[/C][C]-4.174[/C][C]-14.504[/C][C]6.156[/C][C]0.983[/C][/ROW]
[ROW][C]19-13[/C][C]0.826[/C][C]-15.301[/C][C]16.954[/C][C]1[/C][/ROW]
[ROW][C]20-13[/C][C]8.826[/C][C]-18.012[/C][C]35.664[/C][C]0.998[/C][/ROW]
[ROW][C]8-13[/C][C]4.826[/C][C]-22.012[/C][C]31.664[/C][C]1[/C][/ROW]
[ROW][C]9-13[/C][C]-9.174[/C][C]-36.012[/C][C]17.664[/C][C]0.996[/C][/ROW]
[ROW][C]15-14[/C][C]-3.049[/C][C]-10.64[/C][C]4.542[/C][C]0.984[/C][/ROW]
[ROW][C]16-14[/C][C]-3.647[/C][C]-11.168[/C][C]3.873[/C][C]0.929[/C][/ROW]
[ROW][C]17-14[/C][C]-5.22[/C][C]-13.488[/C][C]3.048[/C][C]0.665[/C][/ROW]
[ROW][C]18-14[/C][C]-7.609[/C][C]-17.939[/C][C]2.721[/C][C]0.408[/C][/ROW]
[ROW][C]19-14[/C][C]-2.609[/C][C]-18.736[/C][C]13.519[/C][C]1[/C][/ROW]
[ROW][C]20-14[/C][C]5.391[/C][C]-21.447[/C][C]32.229[/C][C]1[/C][/ROW]
[ROW][C]8-14[/C][C]1.391[/C][C]-25.447[/C][C]28.229[/C][C]1[/C][/ROW]
[ROW][C]9-14[/C][C]-12.609[/C][C]-39.447[/C][C]14.229[/C][C]0.943[/C][/ROW]
[ROW][C]16-15[/C][C]-0.598[/C][C]-7.958[/C][C]6.761[/C][C]1[/C][/ROW]
[ROW][C]17-15[/C][C]-2.171[/C][C]-10.293[/C][C]5.95[/C][C]1[/C][/ROW]
[ROW][C]18-15[/C][C]-4.56[/C][C]-14.773[/C][C]5.653[/C][C]0.962[/C][/ROW]
[ROW][C]19-15[/C][C]0.44[/C][C]-15.613[/C][C]16.493[/C][C]1[/C][/ROW]
[ROW][C]20-15[/C][C]8.44[/C][C]-18.353[/C][C]35.233[/C][C]0.998[/C][/ROW]
[ROW][C]8-15[/C][C]4.44[/C][C]-22.353[/C][C]31.233[/C][C]1[/C][/ROW]
[ROW][C]9-15[/C][C]-9.56[/C][C]-36.353[/C][C]17.233[/C][C]0.995[/C][/ROW]
[ROW][C]17-16[/C][C]-1.573[/C][C]-9.628[/C][C]6.483[/C][C]1[/C][/ROW]
[ROW][C]18-16[/C][C]-3.962[/C][C]-14.122[/C][C]6.199[/C][C]0.988[/C][/ROW]
[ROW][C]19-16[/C][C]1.038[/C][C]-14.981[/C][C]17.058[/C][C]1[/C][/ROW]
[ROW][C]20-16[/C][C]9.038[/C][C]-17.735[/C][C]35.812[/C][C]0.997[/C][/ROW]
[ROW][C]8-16[/C][C]5.038[/C][C]-21.735[/C][C]31.812[/C][C]1[/C][/ROW]
[ROW][C]9-16[/C][C]-8.962[/C][C]-35.735[/C][C]17.812[/C][C]0.997[/C][/ROW]
[ROW][C]18-17[/C][C]-2.389[/C][C]-13.115[/C][C]8.337[/C][C]1[/C][/ROW]
[ROW][C]19-17[/C][C]2.611[/C][C]-13.773[/C][C]18.995[/C][C]1[/C][/ROW]
[ROW][C]20-17[/C][C]10.611[/C][C]-16.382[/C][C]37.604[/C][C]0.987[/C][/ROW]
[ROW][C]8-17[/C][C]6.611[/C][C]-20.382[/C][C]33.604[/C][C]1[/C][/ROW]
[ROW][C]9-17[/C][C]-7.389[/C][C]-34.382[/C][C]19.604[/C][C]1[/C][/ROW]
[ROW][C]19-18[/C][C]5[/C][C]-12.515[/C][C]22.515[/C][C]0.999[/C][/ROW]
[ROW][C]20-18[/C][C]13[/C][C]-14.694[/C][C]40.694[/C][C]0.944[/C][/ROW]
[ROW][C]8-18[/C][C]9[/C][C]-18.694[/C][C]36.694[/C][C]0.998[/C][/ROW]
[ROW][C]9-18[/C][C]-5[/C][C]-32.694[/C][C]22.694[/C][C]1[/C][/ROW]
[ROW][C]20-19[/C][C]8[/C][C]-22.337[/C][C]38.337[/C][C]1[/C][/ROW]
[ROW][C]8-19[/C][C]4[/C][C]-26.337[/C][C]34.337[/C][C]1[/C][/ROW]
[ROW][C]9-19[/C][C]-10[/C][C]-40.337[/C][C]20.337[/C][C]0.997[/C][/ROW]
[ROW][C]8-20[/C][C]-4[/C][C]-41.155[/C][C]33.155[/C][C]1[/C][/ROW]
[ROW][C]9-20[/C][C]-18[/C][C]-55.155[/C][C]19.155[/C][C]0.929[/C][/ROW]
[ROW][C]9-8[/C][C]-14[/C][C]-51.155[/C][C]23.155[/C][C]0.991[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298342&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298342&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
	diff	lwr	upr	p adj
10-0	5.111	-11.273	21.495	0.999
11-0	2.111	-14.273	18.495	1
12-0	2.578	-6.607	11.763	1
13-0	0.952	-7.316	9.22	1
14-0	4.386	-3.881	12.654	0.869
15-0	1.338	-6.784	9.459	1
16-0	0.739	-7.317	8.795	1
17-0	-0.833	-9.591	7.924	1
18-0	-3.222	-13.948	7.504	0.999
19-0	1.778	-14.606	18.162	1
20-0	9.778	-17.215	36.771	0.994
8-0	5.778	-21.215	32.771	1
9-0	-8.222	-35.215	18.771	0.999
11-10	-3	-24.452	18.452	1
12-10	-2.533	-19.15	14.083	1
13-10	-4.159	-20.287	11.968	1
14-10	-0.725	-16.852	15.403	1
15-10	-3.773	-19.826	12.28	1
16-10	-4.372	-20.392	11.648	1
17-10	-5.944	-22.328	10.44	0.994
18-10	-8.333	-25.849	9.182	0.938
19-10	-3.333	-24.785	18.118	1
20-10	4.667	-25.671	35.004	1
8-10	0.667	-29.671	31.004	1
9-10	-13.333	-43.671	17.004	0.966
12-11	0.467	-16.15	17.083	1
13-11	-1.159	-17.287	14.968	1
14-11	2.275	-13.852	18.403	1
15-11	-0.773	-16.826	15.28	1
16-11	-1.372	-17.392	14.648	1
17-11	-2.944	-19.328	13.44	1
18-11	-5.333	-22.849	12.182	0.999
19-11	-0.333	-21.785	21.118	1
20-11	7.667	-22.671	38.004	1
8-11	3.667	-26.671	34.004	1
9-11	-10.333	-40.671	20.004	0.997
13-12	-1.626	-10.346	7.093	1
14-12	1.809	-6.911	10.528	1
15-12	-1.24	-9.821	7.341	1
16-12	-1.838	-10.357	6.68	1
17-12	-3.411	-12.596	5.774	0.992
18-12	-5.8	-16.878	5.278	0.88
19-12	-0.8	-17.416	15.816	1
20-12	7.2	-19.934	34.334	1
8-12	3.2	-23.934	30.334	1
9-12	-10.8	-37.934	16.334	0.985
14-13	3.435	-4.313	11.182	0.964
15-13	0.386	-7.205	7.977	1
16-13	-0.212	-7.733	7.308	1
17-13	-1.785	-10.053	6.483	1
18-13	-4.174	-14.504	6.156	0.983
19-13	0.826	-15.301	16.954	1
20-13	8.826	-18.012	35.664	0.998
8-13	4.826	-22.012	31.664	1
9-13	-9.174	-36.012	17.664	0.996
15-14	-3.049	-10.64	4.542	0.984
16-14	-3.647	-11.168	3.873	0.929
17-14	-5.22	-13.488	3.048	0.665
18-14	-7.609	-17.939	2.721	0.408
19-14	-2.609	-18.736	13.519	1
20-14	5.391	-21.447	32.229	1
8-14	1.391	-25.447	28.229	1
9-14	-12.609	-39.447	14.229	0.943
16-15	-0.598	-7.958	6.761	1
17-15	-2.171	-10.293	5.95	1
18-15	-4.56	-14.773	5.653	0.962
19-15	0.44	-15.613	16.493	1
20-15	8.44	-18.353	35.233	0.998
8-15	4.44	-22.353	31.233	1
9-15	-9.56	-36.353	17.233	0.995
17-16	-1.573	-9.628	6.483	1
18-16	-3.962	-14.122	6.199	0.988
19-16	1.038	-14.981	17.058	1
20-16	9.038	-17.735	35.812	0.997
8-16	5.038	-21.735	31.812	1
9-16	-8.962	-35.735	17.812	0.997
18-17	-2.389	-13.115	8.337	1
19-17	2.611	-13.773	18.995	1
20-17	10.611	-16.382	37.604	0.987
8-17	6.611	-20.382	33.604	1
9-17	-7.389	-34.382	19.604	1
19-18	5	-12.515	22.515	0.999
20-18	13	-14.694	40.694	0.944
8-18	9	-18.694	36.694	0.998
9-18	-5	-32.694	22.694	1
20-19	8	-22.337	38.337	1
8-19	4	-26.337	34.337	1
9-19	-10	-40.337	20.337	0.997
8-20	-4	-41.155	33.155	1
9-20	-18	-55.155	19.155	0.929
9-8	-14	-51.155	23.155	0.991

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	13	1.207	0.279
	155

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 13 & 1.207 & 0.279 \tabularnewline
  & 155 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298342&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]13[/C][C]1.207[/C][C]0.279[/C][/ROW]
[ROW][C] [/C][C]155[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298342&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298342&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
	Df	F value	Pr(>F)
Group	13	1.207	0.279
	155

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code