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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_notchedbox1.wasp

Title produced by software

Notched Boxplots

Date of computation

Wed, 17 Dec 2014 13:43:08 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418823807wazrj6b0f8o65hs.htm/, Retrieved Thu, 16 May 2024 08:00:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270252, Retrieved Thu, 16 May 2024 08:00:44 +0000

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Original text written by user:

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User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Notched Boxplots] [Academic motivati...] [2014-12-17 13:43:08] [c934026d251dca6435604de40b629193] [Current]

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Dataseries X:

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Histogram

Boxplots

19	21	20	19	10	18	22	23	21	23	25	23	4	7
22	19	19	19	21	13	26	16	22	16	19	16	4	5
21	27	18	24	17	6	26	25	17	26	23	18	4	8
20	13	20	7	20	10	21	15	20	25	18	28	8	8
24	17	24	17	19	12	24	25	24	23	24	26	4	5
17	18	18	23	17	10	19	22	17	24	16	21	8	4
19	20	15	23	18	13	23	19	19	26	23	20	5	4
22	22	18	21	13	15	26	22	24	20	18	21	5	11
16	18	18	18	11	8	20	24	23	24	24	26	6	5
20	6	18	4	9	4	25	10	24	14	24	15	4	22
14	22	19	27	8	4	17	24	23	28	25	16	5	4
18	15	20	18	15	9	24	23	25	25	26	21	6	4
13	17	11	15	10	12	22	22	21	19	14	22	4	5
17	10	16	14	12	6	20	24	19	22	23	24	9	16
19	21	15	14	10	11	28	23	8	21	23	24	4	5
22	23	21	17	17	10	20	27	20	21	23	22	6	6
18	18	19	20	16	16	26	28	22	23	25	27	6	5
21	20	19	16	13	12	21	21	17	16	17	22	8	4
18	27	17	16	16	12	21	23	19	15	24	24	9	4
22	13	25	11	18	11	25	25	26	24	27	26	6	4
21	20	14	21	16	14	25	23	13	25	22	26	4	7
15	20	19	10	15	11	23	22	20	23	23	28	9	4
18	22	20	18	20	19	23	23	21	19	24	20	4	8
23	20	20	18	19	16	28	22	24	24	26	23	4	7
23	24	18	21	11	21	21	27	16	14	23	24	4	4
19	23	18	16	13	16	21	24	18	20	25	23	4	6
20	19	19	15	14	11	28	24	17	23	27	26	5	5
24	22	22	17	16	12	25	20	23	12	23	20	4	8
26	24	24	15	16	8	28	19	27	22	25	20	9	8
23	21	18	12	9	9	28	23	22	18	24	12	4	4
25	19	22	20	11	14	25	21	25	21	19	21	4	7
19	20	18	20	16	13	25	27	22	23	28	28	4	4
23	16	21	18	15	7	26	19	23	22	24	24	4	13
24	17	21	21	13	17	27	25	8	28	25	24	4	4
20	25	20	22	12	8	24	25	24	20	28	24	4	4
22	16	20	21	16	9	21	24	17	22	15	22	4	4
24	23	24	25	23	15	26	26	25	24	27	26	5	4
20	20	19	12	19	11	23	21	20	19	24	23	7	7
21	23	16	22	9	20	20	22	20	9	19	10	4	5
27	22	21	24	16	13	26	26	24	23	23	27	4	4
26	15	22	17	19	7	27	20	22	23	21	24	5	5
17	16	19	20	8	8	21	21	16	22	22	26	5	12
26	23	23	19	20	15	27	28	28	23	21	22	4	4
23	25	22	25	19	19	23	25	22	17	21	21	5	4
13	14	15	27	10	5	20	27	19	23	25	28	4	4
23	18	21	17	15	11	23	18	28	19	21	19	4	7
18	15	16	17	13	8	21	14	16	15	20	27	6	13
21	27	18	24	18	19	28	25	19	22	27	17	6	4
21	22	20	18	10	14	23	23	15	25	28	20	7	4
22	26	25	27	20	24	27	24	23	27	24	24	5	4
15	25	18	23	10	12	23	19	21	16	27	20	5	4
18	19	11	21	12	10	22	19	20	22	23	25	4	4
25	19	17	25	16	22	26	23	23	27	21	25	6	4
23	24	22	18	19	18	23	23	22	28	21	26	9	4
21	19	20	22	9	10	28	20	21	22	28	19	4	4
23	25	21	24	15	20	26	23	23	25	23	23	4	4
19	20	22	23	14	17	24	22	22	25	19	25	4	6
22	17	20	24	17	17	23	23	21	24	23	19	4	5
23	13	21	16	14	10	28	22	26	21	18	23	4	6
15	20	15	16	11	15	21	21	16	18	21	24	11	13
24	20	28	18	25	14	28	22	28	17	28	21	4	4
23	24	20	17	15	8	24	26	16	17	23	21	4	7
19	25	19	21	24	17	22	24	18	26	18	24	7	5
23	20	21	15	16	16	25	24	22	25	22	22	9	4
23	20	20	19	13	13	28	26	25	22	27	21	4	4
16	20	13	18	14	14	24	26	23	24	20	27	5	6
23	11	19	14	12	6	25	22	24	20	26	28	4	5
19	23	21	20	14	18	24	27	22	26	25	24	4	4
19	19	21	19	16	16	25	24	24	23	23	21	9	5
22	26	24	22	19	24	27	23	24	24	24	18	4	4
26	26	23	22	17	17	28	24	24	21	27	24	4	5
22	20	20	20	20	16	23	11	25	19	28	20	10	8
24	23	24	22	19	18	27	25	27	22	27	25	4	4
21	19	18	21	14	5	21	19	17	22	22	23	9	4
18	23	17	19	14	10	24	25	21	26	22	25	14	4
19	27	21	24	16	17	25	28	24	25	23	26	9	4
27	16	27	17	22	12	27	18	27	14	25	23	4	4
14	26	12	22	7	22	14	23	12	21	14	18	4	4
26	26	24	24	22	19	24	24	24	21	22	24	9	4
20	20	18	20	13	6	22	25	20	18	24	25	7	8
13	12	18	20	11	7	16	24	22	25	28	26	4	4
26	20	24	19	19	15	26	21	23	20	24	23	5	6
19	18	18	13	14	10	26	19	22	21	26	23	7	12
21	28	15	22	15	18	24	25	20	22	26	20	8	5
26	24	22	20	19	19	20	23	18	15	12	20	4	9
25	24	17	21	22	12	21	25	19	21	24	25	4	12
20	24	20	21	18	16	26	26	25	25	26	28	6	4
NA	12	NA	15	NA	12	NA	18	NA	16	NA	19	NA	16
NA	23	NA	20	NA	16	NA	22	NA	17	NA	18	NA	4
NA	16	NA	23	NA	12	NA	22	NA	23	NA	22	NA	6
NA	18	NA	18	NA	15	NA	18	NA	19	NA	21	NA	4
NA	25	NA	23	NA	17	NA	25	NA	24	NA	25	NA	5
NA	18	NA	18	NA	14	NA	21	NA	19	NA	22	NA	5
NA	7	NA	10	NA	4	NA	19	NA	12	NA	23	NA	4
NA	19	NA	17	NA	11	NA	21	NA	16	NA	25	NA	4
NA	17	NA	13	NA	7	NA	22	NA	17	NA	25	NA	9
	20		20		18		27		20		19		4
	19		18		14		23		19		24		4
	10		19		11		21		20		22		12
	25		21		18		26		20		20		4
	23		19		16		28		24		26		5
	23		22		11		28		28		28		4
	23		21		19		21		24		22		6
	20		20		20		24		14		20		5
	24		23		17		28		22		25		4
	17		18		12		21		18		16		6
	21		15		10		26		23		23		4
	22		19		9		20		13		21		5
	14		16		16		19		20		19		14
	19		17		8		23		24		20		4
	21		26		11		26		24		27		4
	24		23		11		19		27		26		4
	11		8		6		15		14		23		6
	21		19		16		27		21		28		4
	22		20		14		26		23		23		5
	22		21		16		25		25		27		4
	19		16		11		26		20		18		5
	15		17		17		24		26		21		17
	20		17		16		25		22		26		4
	22		18		18		23		24		28		5
	20		19		15		19		21		18		10
	18		19		15		19		13		19		5
	20		24		15		28		21		26		4
	NA		NA		NA		NA		NA		NA		NA
	NA		NA		NA		NA		NA		NA		NA
	21		22		10		24		24		23		5
	NA		NA		NA		NA		NA		NA		NA
	NA		NA		NA		NA		NA		NA		NA
	NA		NA		NA		NA		NA		NA		NA
	NA		NA		NA		NA		NA		NA		NA
	NA		NA		NA		NA		NA		NA		NA

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270252&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270252&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270252&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
IM1B	13	19	21	23	28
IM1S	11	18	20	23	28
IM2B	10	17	19.5	22	28
IM2S	10	17	20	23	28
IM3B	7	14	16	20	28
IM3S	4	8	12	17	27
EM1B	4	14	23	26	28
EM1S	13	19.5	22	24	28
EM2B	12	18	21	23	28
EM2S	8	17	20.5	23	28
EM3B	14	20	23	25	28
EM3S	10	19	22	25	28
AMB	4	4	6	9	16
AMS	4	4	5	8	13

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
IM1B & 13 & 19 & 21 & 23 & 28 \tabularnewline
IM1S & 11 & 18 & 20 & 23 & 28 \tabularnewline
IM2B & 10 & 17 & 19.5 & 22 & 28 \tabularnewline
IM2S & 10 & 17 & 20 & 23 & 28 \tabularnewline
IM3B & 7 & 14 & 16 & 20 & 28 \tabularnewline
IM3S & 4 & 8 & 12 & 17 & 27 \tabularnewline
EM1B & 4 & 14 & 23 & 26 & 28 \tabularnewline
EM1S & 13 & 19.5 & 22 & 24 & 28 \tabularnewline
EM2B & 12 & 18 & 21 & 23 & 28 \tabularnewline
EM2S & 8 & 17 & 20.5 & 23 & 28 \tabularnewline
EM3B & 14 & 20 & 23 & 25 & 28 \tabularnewline
EM3S & 10 & 19 & 22 & 25 & 28 \tabularnewline
AMB & 4 & 4 & 6 & 9 & 16 \tabularnewline
AMS & 4 & 4 & 5 & 8 & 13 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270252&T=1

[TABLE]
[ROW][C]Boxplot statistics[/C][/ROW]
[ROW][C]Variable[/C][C]lower whisker[/C][C]lower hinge[/C][C]median[/C][C]upper hinge[/C][C]upper whisker[/C][/ROW]
[ROW][C]IM1B[/C][C]13[/C][C]19[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]IM1S[/C][C]11[/C][C]18[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]IM2B[/C][C]10[/C][C]17[/C][C]19.5[/C][C]22[/C][C]28[/C][/ROW]
[ROW][C]IM2S[/C][C]10[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]IM3B[/C][C]7[/C][C]14[/C][C]16[/C][C]20[/C][C]28[/C][/ROW]
[ROW][C]IM3S[/C][C]4[/C][C]8[/C][C]12[/C][C]17[/C][C]27[/C][/ROW]
[ROW][C]EM1B[/C][C]4[/C][C]14[/C][C]23[/C][C]26[/C][C]28[/C][/ROW]
[ROW][C]EM1S[/C][C]13[/C][C]19.5[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]EM2B[/C][C]12[/C][C]18[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]EM2S[/C][C]8[/C][C]17[/C][C]20.5[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]EM3B[/C][C]14[/C][C]20[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]EM3S[/C][C]10[/C][C]19[/C][C]22[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]AMB[/C][C]4[/C][C]4[/C][C]6[/C][C]9[/C][C]16[/C][/ROW]
[ROW][C]AMS[/C][C]4[/C][C]4[/C][C]5[/C][C]8[/C][C]13[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270252&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270252&T=1

As an alternative you can also use a QR Code:

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

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
IM1B	13	19	21	23	28
IM1S	11	18	20	23	28
IM2B	10	17	19.5	22	28
IM2S	10	17	20	23	28
IM3B	7	14	16	20	28
IM3S	4	8	12	17	27
EM1B	4	14	23	26	28
EM1S	13	19.5	22	24	28
EM2B	12	18	21	23	28
EM2S	8	17	20.5	23	28
EM3B	14	20	23	25	28
EM3S	10	19	22	25	28
AMB	4	4	6	9	16
AMS	4	4	5	8	13

Boxplot Notches
Variable	lower bound	median	upper bound
IM1B	20.4181968414883	21	21.5818031585117
IM1S	19.2989883575613	20	20.7010116424387
IM2B	18.7727460518603	19.5	20.2272539481397
IM2S	19.1587860290735	20	20.8412139709265
IM3B	15.1272952622324	16	16.8727047377676
IM3S	10.7381790436103	12	13.2618209563897
EM1B	21.2545905244648	23	24.7454094755352
EM1S	21.3715588482205	22	22.6284411517795
EM2B	20.2758081873477	21	21.7241918126523
EM2S	19.6620784642939	20.5	21.3379215357061
EM3B	22.2758081873477	23	23.7241918126523
EM3S	21.1620784642939	22	22.8379215357061
AMB	5.27580818734771	6	6.72419181265229
AMS	4.44138564286263	5	5.55861435713737

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
IM1B & 20.4181968414883 & 21 & 21.5818031585117 \tabularnewline
IM1S & 19.2989883575613 & 20 & 20.7010116424387 \tabularnewline
IM2B & 18.7727460518603 & 19.5 & 20.2272539481397 \tabularnewline
IM2S & 19.1587860290735 & 20 & 20.8412139709265 \tabularnewline
IM3B & 15.1272952622324 & 16 & 16.8727047377676 \tabularnewline
IM3S & 10.7381790436103 & 12 & 13.2618209563897 \tabularnewline
EM1B & 21.2545905244648 & 23 & 24.7454094755352 \tabularnewline
EM1S & 21.3715588482205 & 22 & 22.6284411517795 \tabularnewline
EM2B & 20.2758081873477 & 21 & 21.7241918126523 \tabularnewline
EM2S & 19.6620784642939 & 20.5 & 21.3379215357061 \tabularnewline
EM3B & 22.2758081873477 & 23 & 23.7241918126523 \tabularnewline
EM3S & 21.1620784642939 & 22 & 22.8379215357061 \tabularnewline
AMB & 5.27580818734771 & 6 & 6.72419181265229 \tabularnewline
AMS & 4.44138564286263 & 5 & 5.55861435713737 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270252&T=2

[TABLE]
[ROW][C]Boxplot Notches[/C][/ROW]
[ROW][C]Variable[/C][C]lower bound[/C][C]median[/C][C]upper bound[/C][/ROW]
[ROW][C]IM1B[/C][C]20.4181968414883[/C][C]21[/C][C]21.5818031585117[/C][/ROW]
[ROW][C]IM1S[/C][C]19.2989883575613[/C][C]20[/C][C]20.7010116424387[/C][/ROW]
[ROW][C]IM2B[/C][C]18.7727460518603[/C][C]19.5[/C][C]20.2272539481397[/C][/ROW]
[ROW][C]IM2S[/C][C]19.1587860290735[/C][C]20[/C][C]20.8412139709265[/C][/ROW]
[ROW][C]IM3B[/C][C]15.1272952622324[/C][C]16[/C][C]16.8727047377676[/C][/ROW]
[ROW][C]IM3S[/C][C]10.7381790436103[/C][C]12[/C][C]13.2618209563897[/C][/ROW]
[ROW][C]EM1B[/C][C]21.2545905244648[/C][C]23[/C][C]24.7454094755352[/C][/ROW]
[ROW][C]EM1S[/C][C]21.3715588482205[/C][C]22[/C][C]22.6284411517795[/C][/ROW]
[ROW][C]EM2B[/C][C]20.2758081873477[/C][C]21[/C][C]21.7241918126523[/C][/ROW]
[ROW][C]EM2S[/C][C]19.6620784642939[/C][C]20.5[/C][C]21.3379215357061[/C][/ROW]
[ROW][C]EM3B[/C][C]22.2758081873477[/C][C]23[/C][C]23.7241918126523[/C][/ROW]
[ROW][C]EM3S[/C][C]21.1620784642939[/C][C]22[/C][C]22.8379215357061[/C][/ROW]
[ROW][C]AMB[/C][C]5.27580818734771[/C][C]6[/C][C]6.72419181265229[/C][/ROW]
[ROW][C]AMS[/C][C]4.44138564286263[/C][C]5[/C][C]5.55861435713737[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270252&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270252&T=2

As an alternative you can also use a QR Code:

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

Boxplot Notches
Variable	lower bound	median	upper bound
IM1B	20.4181968414883	21	21.5818031585117
IM1S	19.2989883575613	20	20.7010116424387
IM2B	18.7727460518603	19.5	20.2272539481397
IM2S	19.1587860290735	20	20.8412139709265
IM3B	15.1272952622324	16	16.8727047377676
IM3S	10.7381790436103	12	13.2618209563897
EM1B	21.2545905244648	23	24.7454094755352
EM1S	21.3715588482205	22	22.6284411517795
EM2B	20.2758081873477	21	21.7241918126523
EM2S	19.6620784642939	20.5	21.3379215357061
EM3B	22.2758081873477	23	23.7241918126523
EM3S	21.1620784642939	22	22.8379215357061
AMB	5.27580818734771	6	6.72419181265229
AMS	4.44138564286263	5	5.55861435713737

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ;

Parameters (R input):

par1 = grey ;

R code (references can be found in the software module):

par1 <- 'grey'
z <- as.data.frame(t(y))
bitmap(file='test1.png')
(r<-boxplot(z ,xlab=xlab,ylab=ylab,main=main,notch=TRUE,col=par1))
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('overview.htm','Boxplot statistics','Boxplot overview'),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,hyperlink('lower_whisker.htm','lower whisker','definition of lower whisker'),1,TRUE)
a<-table.element(a,hyperlink('lower_hinge.htm','lower hinge','definition of lower hinge'),1,TRUE)
a<-table.element(a,hyperlink('central_tendency.htm','median','definitions about measures of central tendency'),1,TRUE)
a<-table.element(a,hyperlink('upper_hinge.htm','upper hinge','definition of upper hinge'),1,TRUE)
a<-table.element(a,hyperlink('upper_whisker.htm','upper whisker','definition of upper whisker'),1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
for (j in 1:5)
{
a<-table.element(a,r$stats[j,i])
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot Notches',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,'lower bound',1,TRUE)
a<-table.element(a,'median',1,TRUE)
a<-table.element(a,'upper bound',1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
a<-table.element(a,r$conf[1,i])
a<-table.element(a,r$stats[3,i])
a<-table.element(a,r$conf[2,i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code