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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 13:51:12 +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/t1418824293if598ievum8f5a6.htm/, Retrieved Thu, 16 May 2024 10:57:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270268, Retrieved Thu, 16 May 2024 10:57:21 +0000

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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 13:51:12] [c934026d251dca6435604de40b629193] [Current]

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Dataseries X:

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Histogram

Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ yule.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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.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=270268&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.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=270268&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270268&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	1 seconds
R Server	'George Udny Yule' @ yule.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
IIM1F	13	19	21	23.5	28
IM1M	12	18	20	23	28
IM2F	11	17	19	21	27
IM2M	12	17	20	23	28
IM3F	4	12	16	19	28
IM3M	4	10	14	19	28
EM1F	8	18.5	23	25.5	28
EM1M	14	20	23	24	28
EM2F	14	19	22	24	28
EM2M	9	17	20	23	28
EM3F	14	20	23	25	28
EM3M	10	19	22	25	28
AMF	4	4	5	9	16
AMM	4	4	5	9	16

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
IIM1F & 13 & 19 & 21 & 23.5 & 28 \tabularnewline
IM1M & 12 & 18 & 20 & 23 & 28 \tabularnewline
IM2F & 11 & 17 & 19 & 21 & 27 \tabularnewline
IM2M & 12 & 17 & 20 & 23 & 28 \tabularnewline
IM3F & 4 & 12 & 16 & 19 & 28 \tabularnewline
IM3M & 4 & 10 & 14 & 19 & 28 \tabularnewline
EM1F & 8 & 18.5 & 23 & 25.5 & 28 \tabularnewline
EM1M & 14 & 20 & 23 & 24 & 28 \tabularnewline
EM2F & 14 & 19 & 22 & 24 & 28 \tabularnewline
EM2M & 9 & 17 & 20 & 23 & 28 \tabularnewline
EM3F & 14 & 20 & 23 & 25 & 28 \tabularnewline
EM3M & 10 & 19 & 22 & 25 & 28 \tabularnewline
AMF & 4 & 4 & 5 & 9 & 16 \tabularnewline
AMM & 4 & 4 & 5 & 9 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270268&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]IIM1F[/C][C]13[/C][C]19[/C][C]21[/C][C]23.5[/C][C]28[/C][/ROW]
[ROW][C]IM1M[/C][C]12[/C][C]18[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]IM2F[/C][C]11[/C][C]17[/C][C]19[/C][C]21[/C][C]27[/C][/ROW]
[ROW][C]IM2M[/C][C]12[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]IM3F[/C][C]4[/C][C]12[/C][C]16[/C][C]19[/C][C]28[/C][/ROW]
[ROW][C]IM3M[/C][C]4[/C][C]10[/C][C]14[/C][C]19[/C][C]28[/C][/ROW]
[ROW][C]EM1F[/C][C]8[/C][C]18.5[/C][C]23[/C][C]25.5[/C][C]28[/C][/ROW]
[ROW][C]EM1M[/C][C]14[/C][C]20[/C][C]23[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]EM2F[/C][C]14[/C][C]19[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]EM2M[/C][C]9[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]EM3F[/C][C]14[/C][C]20[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]EM3M[/C][C]10[/C][C]19[/C][C]22[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]AMF[/C][C]4[/C][C]4[/C][C]5[/C][C]9[/C][C]16[/C][/ROW]
[ROW][C]AMM[/C][C]4[/C][C]4[/C][C]5[/C][C]9[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270268&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270268&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
IIM1F	13	19	21	23.5	28
IM1M	12	18	20	23	28
IM2F	11	17	19	21	27
IM2M	12	17	20	23	28
IM3F	4	12	16	19	28
IM3M	4	10	14	19	28
EM1F	8	18.5	23	25.5	28
EM1M	14	20	23	24	28
EM2F	14	19	22	24	28
EM2M	9	17	20	23	28
EM3F	14	20	23	25	28
EM3M	10	19	22	25	28
AMF	4	4	5	9	16
AMM	4	4	5	9	16

Boxplot Notches
Variable	lower bound	median	upper bound
IIM1F	20.3482273686129	21	21.6517726313871
IM1M	19.2818181818182	20	20.7181818181818
IM2F	18.4206465498782	19	19.5793534501218
IM2M	19.1381818181818	20	20.8618181818182
IM3F	14.9861314622868	16	17.0138685377132
IM3M	12.7072727272727	14	15.2927272727273
EM1F	21.9861314622868	23	24.0138685377132
EM1M	22.4254545454545	23	23.5745454545455
EM2F	21.2758081873477	22	22.7241918126523
EM2M	19.1381818181818	20	20.8618181818182
EM3F	22.2758081873477	23	23.7241918126523
EM3M	21.1381818181818	22	22.8618181818182
AMF	4.27580818734771	5	5.72419181265229
AMM	4.28181818181818	5	5.71818181818182

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
IIM1F & 20.3482273686129 & 21 & 21.6517726313871 \tabularnewline
IM1M & 19.2818181818182 & 20 & 20.7181818181818 \tabularnewline
IM2F & 18.4206465498782 & 19 & 19.5793534501218 \tabularnewline
IM2M & 19.1381818181818 & 20 & 20.8618181818182 \tabularnewline
IM3F & 14.9861314622868 & 16 & 17.0138685377132 \tabularnewline
IM3M & 12.7072727272727 & 14 & 15.2927272727273 \tabularnewline
EM1F & 21.9861314622868 & 23 & 24.0138685377132 \tabularnewline
EM1M & 22.4254545454545 & 23 & 23.5745454545455 \tabularnewline
EM2F & 21.2758081873477 & 22 & 22.7241918126523 \tabularnewline
EM2M & 19.1381818181818 & 20 & 20.8618181818182 \tabularnewline
EM3F & 22.2758081873477 & 23 & 23.7241918126523 \tabularnewline
EM3M & 21.1381818181818 & 22 & 22.8618181818182 \tabularnewline
AMF & 4.27580818734771 & 5 & 5.72419181265229 \tabularnewline
AMM & 4.28181818181818 & 5 & 5.71818181818182 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270268&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]IIM1F[/C][C]20.3482273686129[/C][C]21[/C][C]21.6517726313871[/C][/ROW]
[ROW][C]IM1M[/C][C]19.2818181818182[/C][C]20[/C][C]20.7181818181818[/C][/ROW]
[ROW][C]IM2F[/C][C]18.4206465498782[/C][C]19[/C][C]19.5793534501218[/C][/ROW]
[ROW][C]IM2M[/C][C]19.1381818181818[/C][C]20[/C][C]20.8618181818182[/C][/ROW]
[ROW][C]IM3F[/C][C]14.9861314622868[/C][C]16[/C][C]17.0138685377132[/C][/ROW]
[ROW][C]IM3M[/C][C]12.7072727272727[/C][C]14[/C][C]15.2927272727273[/C][/ROW]
[ROW][C]EM1F[/C][C]21.9861314622868[/C][C]23[/C][C]24.0138685377132[/C][/ROW]
[ROW][C]EM1M[/C][C]22.4254545454545[/C][C]23[/C][C]23.5745454545455[/C][/ROW]
[ROW][C]EM2F[/C][C]21.2758081873477[/C][C]22[/C][C]22.7241918126523[/C][/ROW]
[ROW][C]EM2M[/C][C]19.1381818181818[/C][C]20[/C][C]20.8618181818182[/C][/ROW]
[ROW][C]EM3F[/C][C]22.2758081873477[/C][C]23[/C][C]23.7241918126523[/C][/ROW]
[ROW][C]EM3M[/C][C]21.1381818181818[/C][C]22[/C][C]22.8618181818182[/C][/ROW]
[ROW][C]AMF[/C][C]4.27580818734771[/C][C]5[/C][C]5.72419181265229[/C][/ROW]
[ROW][C]AMM[/C][C]4.28181818181818[/C][C]5[/C][C]5.71818181818182[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270268&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270268&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
IIM1F	20.3482273686129	21	21.6517726313871
IM1M	19.2818181818182	20	20.7181818181818
IM2F	18.4206465498782	19	19.5793534501218
IM2M	19.1381818181818	20	20.8618181818182
IM3F	14.9861314622868	16	17.0138685377132
IM3M	12.7072727272727	14	15.2927272727273
EM1F	21.9861314622868	23	24.0138685377132
EM1M	22.4254545454545	23	23.5745454545455
EM2F	21.2758081873477	22	22.7241918126523
EM2M	19.1381818181818	20	20.8618181818182
EM3F	22.2758081873477	23	23.7241918126523
EM3M	21.1381818181818	22	22.8618181818182
AMF	4.27580818734771	5	5.72419181265229
AMM	4.28181818181818	5	5.71818181818182

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):

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