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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

Tue, 09 Dec 2014 12:19:15 +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/09/t1418127581v7xh86pu7aa73lv.htm/, Retrieved Thu, 16 May 2024 20:41:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264518, Retrieved Thu, 16 May 2024 20:41:35 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- RMPD  [Kernel Density Estimation] [] [2011-10-18 22:42:23] [b98453cac15ba1066b407e146608df68]
- RMPD    [Percentiles] [] [2011-10-18 22:46:45] [b98453cac15ba1066b407e146608df68]
- RMPD      [Notched Boxplots] [] [2011-10-18 22:58:56] [b98453cac15ba1066b407e146608df68]
- RM D          [Notched Boxplots] [paper12] [2014-12-09 12:19:15] [0015a2406d94cac8c1a56a29b9122359] [Current]

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Dataseries X:

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Histogram

Boxplots

26	11	8	7	62	22	20	20
51	15	18	18	56	22	18	16
57	19	18	20	57	21	16	20
37	16	12	9	51	20	18	13
67	24	24	19	56	20	19	17
43	15	16	12	30	14	9	7
52	17	19	16	61	23	20	18
52	19	16	17	47	16	22	9
43	19	15	9	56	18	22	16
84	28	28	28	50	20	16	14
67	26	21	20	67	23	24	20
49	15	18	16	41	13	20	8
70	26	22	22	45	20	14	11
52	16	19	17	48	19	19	10
58	24	22	12	44	20	14	10
68	25	25	18	37	16	14	7
43	15	16	12	56	20	20	16
56	21	19	16	66	23	21	22
74	27	26	21	38	17	13	8
65	26	24	15	34	13	13	8
63	26	20	17	49	20	15	14
58	22	19	17	55	22	18	15
57	21	19	17	49	19	21	9
63	22	23	18	59	21	17	21
53	20	18	15	40	15	18	7
64	22	21	21	58	21	20	17
53	21	20	12	60	24	18	18
29	8	15	6	63	22	25	16
54	22	19	13	56	20	20	16
51	18	27	6	54	21	19	14
58	20	19	19	52	19	18	15
43	24	7	12	34	14	12	8
51	17	20	14	69	25	22	22
53	20	20	13	32	11	16	5
54	23	19	12	48	17	18	13
61	22	20	19	67	22	23	22
47	19	18	10	58	20	20	18
39	15	14	10	57	22	20	15
48	20	17	11	42	15	16	11
50	22	17	11	64	23	22	19
35	17	8	10	58	20	19	19
68	24	22	22	66	22	23	21
49	17	20	12	26	16	6	4
67	25	22	20	61	25	19	17
43	18	14	11	52	18	24	10
62	24	21	17	51	19	19	13
57	23	20	14	55	25	15	15
54	20	18	16	50	21	18	11
61	22	24	15	60	22	18	20
56	22	19	15	56	21	22	13
41	15	16	10	63	22	23	18
43	17	16	10	61	23	18	20
53	19	16	18	52	24	16	12
66	22	22	22	55	22	16	17
58	21	21	16	72	26	25	21
46	21	15	10	33	11	12	10
51	20	15	16	66	24	20	22
51	21	14	16	66	28	19	19
45	15	17	13	64	23	22	19
37	18	14	5	40	19	12	9
59	22	19	18	46	18	17	11
42	16	16	10	58	23	18	17
66	24	26	16	51	17	24	10
53	19	18	16	50	15	18	17
52	20	17	15	52	21	18	13
16	6	6	4	54	20	23	11
46	15	22	9	66	26	21	19
56	18	20	18	61	19	21	21
50	21	17	12	80	28	28	24
59	23	20	16	51	21	17	13
60	20	23	17	56	19	21	16
52	20	18	14	53	20	18	15
44	18	13	13	47	17	17	13
67	25	22	20	50	20	18	12
52	16	20	16	39	17	14	8
55	20	20	15	58	21	20	17
37	14	13	10	35	12	14	9
54	22	16	16	58	23	17	18
51	20	16	15	60	22	21	17
48	17	15	16	62	22	23	17
60	22	19	19	63	21	24	18
50	22	19	9	53	20	21	12
63	20	24	19	46	18	14	14
33	17	9	7	67	21	24	22
67	22	22	23	59	24	16	19
46	17	15	14	64	22	21	21
54	22	22	10	38	20	8	10
59	21	22	16	50	17	17	16
61	25	24	12	48	16	17	15
47	19	21	7	47	19	16	12
69	24	25	20	66	23	22	21
52	17	26	9	63	22	21	20
55	22	19	14	44	15	20	9
55	22	21	12	43	21	8	14
41	17	14	10	38	18	11	9
73	26	28	19	56	23	15	18
51	19	16	16	45	20	13	12
52	20	21	11	50	21	18	11
50	19	16	15	54	21	19	14
51	21	16	14	55	22	22	11
60	24	25	11	37	15	11	11
56	21	21	14	46	19	14	13
56	19	22	15	51	18	21	12
29	13	9	7	64	20	21	23
73	27	24	22	47	18	18	11
55	22	22	11	62	22	21	19
43	21	10	12	67	25	23	19
61	22	22	17	56	23	20	13
56	22	21	13	65	21	21	23
56	21	20	15	50	19	18	13
47	19	17	11	57	21	19	17
25	11	7	7	47	16	18	13
46	19	14	13	47	21	18	8
51	21	23	7	57	22	19	16
48	19	18	11	50	18	18	14
47	8	17	22	22	4	11	7
58	23	20	15	59	22	20	17
51	17	19	15	56	17	20	19
55	25	19	11	53	20	21	12
57	24	23	10	42	18	12	12
60	22	20	18	52	19	15	18
56	23	19	14	54	20	18	16
49	17	16	16	44	15	14	15
43	24	11	8	62	24	18	20
59	22	21	16	53	21	16	16
58	21	20	17	50	19	19	12
53	19	20	14	36	19	7	10
48	19	19	10	76	27	21	28
51	16	19	16	66	23	24	19
59	23	20	16	62	23	21	18
62	23	22	17	59	20	20	19
51	20	19	12	47	17	22	8
64	24	23	17	55	21	17	17
52	25	16	11	58	23	19	16
50	20	18	12	60	22	20	18
54	23	23	8	57	20	20	17
58	21	20	17	45	16	16	13
63	23	23	17	49	19	20	10
31	11	13	7	62	22	19	21
71	27	26	18	56	21	18	17
54	22	19	13	60	20	20	20
43	16	13	14	67	24	24	19
41	18	10	13	52	17	18	17
63	23	21	19	52	19	15	18
63	24	24	15	53	22	18	13
56	20	21	15	45	16	18	11
51	20	23	8	47	20	18	9
41	14	16	11	41	14	19	8
66	23	26	17	53	18	20	15
44	16	16	12	34	13	11	10
58	21	19	18	45	17	16	12
51	19	19	13	44	19	15	10
57	27	24	6	60	22	21	17
30	13	7	10	53	18	19	16
46	17	17	12	53	21	19	13
51	18	23	10	51	18	17	16
56	20	23	13	65	22	25	18
58	22	21	15	51	21	14	16
44	18	18	8	49	15	19	15
14	6	4	4	58	18	20	20
53	22	27	4	62	23	20	19
42	15	18	9	52	23	18	11
44	17	15	12	50	19	18	13
30	10	14	6	53	20	19	14
46	21	14	11	62	24	22	16
50	23	17	10	66	26	24	16
54	18	20	16	50	23	18	9
48	20	16	12	58	25	22	11
55	27	16	12	53	19	18	16
35	13	11	11	59	23	21	15
55	20	21	14	58	24	21	13
41	20	10	11	52	20	20	12
59	22	18	19	58	22	20	16
54	20	18	16	71	24	24	23
66	24	21	21	58	20	19	19
55	23	16	16	46	21	16	9
45	19	15	11	64	27	21	16
51	22	17	12	67	26	22	19
47	24	15	8	44	17	19	8
42	21	12	9	69	26	23	20
53	19	20	14	64	23	22	19
53	20	20	13	38	13	15	10
41	16	18	7	59	23	21	15
55	17	21	17	47	18	16	13
55	25	22	8	57	21	18	18
46	16	21	9	51	21	20	10
63	23	25	15	67	22	25	20
43	20	12	11	43	15	18	10
65	23	22	20	41	18	11	12
59	22	24	13	58	25	17	16
39	15	17	7	64	23	22	19
44	16	20	8	50	21	20	9
57	23	19	15	59	23	21	15
69	25	25	19	55	19	22	14
46	14	27	5	59	22	20	17
46	18	17	11	58	23	21	14
40	15	17	8	41	15	15	11
70	27	24	19	77	24	28	25
54	22	18	14	58	23	20	15
77	26	27	24	62	19	19	24
60	25	23	12	60	23	21	16
50	19	21	10	56	23	20	13
66	19	25	22	43	16	13	14
60	24	18	18	54	23	19	12
51	19	22	10	54	19	21	14
69	25	24	20	56	19	21	16
60	20	23	17	65	22	24	19
58	17	24	17	66	26	23	17
39	13	16	10	62	22	20	20
51	20	16	15	67	24	24	19
52	20	18	14	53	21	18	14
49	24	17	8	49	18	17	14
63	25	21	17	56	19	21	16
51	20	15	16	76	27	27	22
52	20	19	13	33	14	12	7
52	20	18	14	72	26	24	22
31	11	14	6	51	20	18	13
61	23	20	18	42	13	18	11
54	19	19	16	69	26	24	19
72	26	22	24	51	19	18	14
65	26	22	17	51	21	15	15
56	20	20	16	67	26	22	19
63	23	22	18	64	25	17	22
45	19	21	5	58	20	20	18
52	23	19	10	NA	NA	NA	NA
68	27	24	17	NA	NA	NA	NA
45	16	17	12	NA	NA	NA	NA
70	26	22	22	NA	NA	NA	NA
69	26	24	19	NA	NA	NA	NA
46	20	20	6	NA	NA	NA	NA
39	12	20	7	NA	NA	NA	NA
54	20	19	15	NA	NA	NA	NA
41	18	13	10	NA	NA	NA	NA
68	28	22	18	NA	NA	NA	NA
63	24	20	19	NA	NA	NA	NA
57	24	21	12	NA	NA	NA	NA
61	24	21	16	NA	NA	NA	NA
39	12	15	12	NA	NA	NA	NA
59	23	20	16	NA	NA	NA	NA
51	16	23	12	NA	NA	NA	NA
51	18	18	15	NA	NA	NA	NA
65	25	23	17	NA	NA	NA	NA
50	18	18	14	NA	NA	NA	NA
21	7	10	4	NA	NA	NA	NA
47	19	17	11	NA	NA	NA	NA
37	17	13	7	NA	NA	NA	NA
58	20	20	18	NA	NA	NA	NA
51	19	18	14	NA	NA	NA	NA
40	10	19	11	NA	NA	NA	NA
64	25	21	18	NA	NA	NA	NA
58	23	19	16	NA	NA	NA	NA
56	23	22	11	NA	NA	NA	NA
63	23	21	19	NA	NA	NA	NA
60	20	20	20	NA	NA	NA	NA
64	24	23	17	NA	NA	NA	NA
47	17	18	12	NA	NA	NA	NA
46	21	15	10	NA	NA	NA	NA
50	22	19	9	NA	NA	NA	NA
46	14	16	16	NA	NA	NA	NA
44	19	17	8	NA	NA	NA	NA
58	21	26	11	NA	NA	NA	NA
58	24	23	11	NA	NA	NA	NA
25	11	8	6	NA	NA	NA	NA
56	21	19	16	NA	NA	NA	NA
56	22	20	14	NA	NA	NA	NA
59	22	21	16	NA	NA	NA	NA
46	19	16	11	NA	NA	NA	NA
49	15	17	17	NA	NA	NA	NA
53	20	17	16	NA	NA	NA	NA
58	22	18	18	NA	NA	NA	NA
54	20	19	15	NA	NA	NA	NA
52	18	19	15	NA	NA	NA	NA
59	20	24	15	NA	NA	NA	NA
53	21	22	10	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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
R Framework error message & The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264518&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264518&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264518&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
IS	29	46	53	59	77
I1S	11	18	20	23	28
I2S	7	16	19	22	28
I3S	4	11	14	17	24
IB	30	48.5	55	61	77
I1B	11	18	21	23	28
I2B	11	17	19	21	27
I3B	4	12	15	18	25

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
IS & 29 & 46 & 53 & 59 & 77 \tabularnewline
I1S & 11 & 18 & 20 & 23 & 28 \tabularnewline
I2S & 7 & 16 & 19 & 22 & 28 \tabularnewline
I3S & 4 & 11 & 14 & 17 & 24 \tabularnewline
IB & 30 & 48.5 & 55 & 61 & 77 \tabularnewline
I1B & 11 & 18 & 21 & 23 & 28 \tabularnewline
I2B & 11 & 17 & 19 & 21 & 27 \tabularnewline

I3B & 4 & 12 & 15 & 18 & 25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264518&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]IS[/C][C]29[/C][C]46[/C][C]53[/C][C]59[/C][C]77[/C][/ROW]
[ROW][C]I1S[/C][C]11[/C][C]18[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I2S[/C][C]7[/C][C]16[/C][C]19[/C][C]22[/C][C]28[/C][/ROW]
[ROW][C]I3S[/C][C]4[/C][C]11[/C][C]14[/C][C]17[/C][C]24[/C][/ROW]
[ROW][C]IB[/C][C]30[/C][C]48.5[/C][C]55[/C][C]61[/C][C]77[/C][/ROW]
[ROW][C]I1B[/C][C]11[/C][C]18[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I2B[/C][C]11[/C][C]17[/C][C]19[/C][C]21[/C][C]27[/C][/ROW]
[ROW][C]
I3B[/C][C]4[/C][C]12[/C][C]15[/C][C]18[/C][C]25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264518&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264518&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
IS	29	46	53	59	77
I1S	11	18	20	23	28
I2S	7	16	19	22	28
I3S	4	11	14	17	24
IB	30	48.5	55	61	77
I1B	11	18	21	23	28
I2B	11	17	19	21	27
I3B	4	12	15	18	25

Boxplot Notches
Variable	lower bound	median	upper bound
IS	51.7591332202998	53	54.2408667797002
I1S	19.5227435462692	20	20.4772564537308
I2S	18.427292255523	19	19.572707744477
I3S	13.427292255523	14	14.572707744477
IB	53.6803976180574	55	56.3196023819426
I1B	20.472159047223	21	21.527840952777
I2B	18.5777272377784	19	19.4222727622216
I3B	14.3665908566676	15	15.6334091433324

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
IS & 51.7591332202998 & 53 & 54.2408667797002 \tabularnewline
I1S & 19.5227435462692 & 20 & 20.4772564537308 \tabularnewline
I2S & 18.427292255523 & 19 & 19.572707744477 \tabularnewline
I3S & 13.427292255523 & 14 & 14.572707744477 \tabularnewline
IB & 53.6803976180574 & 55 & 56.3196023819426 \tabularnewline
I1B & 20.472159047223 & 21 & 21.527840952777 \tabularnewline
I2B & 18.5777272377784 & 19 & 19.4222727622216 \tabularnewline

I3B & 14.3665908566676 & 15 & 15.6334091433324 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264518&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]IS[/C][C]51.7591332202998[/C][C]53[/C][C]54.2408667797002[/C][/ROW]
[ROW][C]I1S[/C][C]19.5227435462692[/C][C]20[/C][C]20.4772564537308[/C][/ROW]
[ROW][C]I2S[/C][C]18.427292255523[/C][C]19[/C][C]19.572707744477[/C][/ROW]
[ROW][C]I3S[/C][C]13.427292255523[/C][C]14[/C][C]14.572707744477[/C][/ROW]
[ROW][C]IB[/C][C]53.6803976180574[/C][C]55[/C][C]56.3196023819426[/C][/ROW]
[ROW][C]I1B[/C][C]20.472159047223[/C][C]21[/C][C]21.527840952777[/C][/ROW]
[ROW][C]I2B[/C][C]18.5777272377784[/C][C]19[/C][C]19.4222727622216[/C][/ROW]
[ROW][C]
I3B[/C][C]14.3665908566676[/C][C]15[/C][C]15.6334091433324[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264518&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264518&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
IS	51.7591332202998	53	54.2408667797002
I1S	19.5227435462692	20	20.4772564537308
I2S	18.427292255523	19	19.572707744477
I3S	13.427292255523	14	14.572707744477
IB	53.6803976180574	55	56.3196023819426
I1B	20.472159047223	21	21.527840952777
I2B	18.5777272377784	19	19.4222727622216
I3B	14.3665908566676	15	15.6334091433324

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