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R Software Module

rwasp_percentiles.wasp

Title produced by software

Percentiles

Date of computation

Thu, 10 Dec 2009 06:36:13 -0700

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/2009/Dec/10/t1260452222ws9k6mzqyx79erh.htm/, Retrieved Tue, 23 Apr 2024 18:54:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65367, Retrieved Tue, 23 Apr 2024 18:54:42 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

JSSHWPap17

Estimated Impact

108

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

-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
F RMPD    [Univariate Data Series] [] [2009-10-14 08:30:28] [74be16979710d4c4e7c6647856088456]
- RMP       [Central Tendency] [Constante part 1] [2009-10-17 13:50:10] [214e6e00abbde49700521a7ef1d30da2]
-  MPD        [Central Tendency] [Paper constante term] [2009-11-29 13:31:29] [214e6e00abbde49700521a7ef1d30da2]
- RM              [Percentiles] [Percentiles] [2009-12-10 13:36:13] [c8fd62404619100d8e91184019148412] [Current]

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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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65367&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65367&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65367&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	'Gwilym Jenkins' @ 72.249.127.135

Percentiles - Ungrouped Data
p	Weighted Average at Xnp	Weighted Average at X(n+1)p	Empirical Distribution Function	Empirical Distribution Function - Averaging	Empirical Distribution Function - Interpolation	Closest Observation	True Basic - Statistics Graphics Toolkit	MS Excel (old versions)
0.02	1.2	1.22	2	2	2	1	1.78	1
0.04	2	2	2	2	2	2	2	2
0.06	2	2	2	2	2	2	2	2
0.08	2	2	2	2	2	2	2	2
0.1	2	2.1	2	2.5	2.9	2	2.9	2
0.12	3	3	3	3	3	3	3	3
0.14	3	3	3	3	3	3	3	3
0.16	3	3	3	3	3.44	3	3	3
0.18	3.8	3.98	4	4	4	4	3.02	4
0.2	4	4	4	4	4	4	4	4
0.22	4	4	4	4	4	4	4	4
0.24	4	4	4	4	4	4	4	4
0.26	4	4	4	4	4	4	4	4
0.28	4	4	4	4	4	4	4	4
0.3	4	4.3	4	4.5	4.7	4	4.7	4
0.32	5	5	5	5	5	5	5	5
0.34	5	5	5	5	5	5	5	5
0.36	5	5	5	5	5	5	5	5
0.38	5	5	5	5	5	5	5	5
0.4	5	5	5	5	5	5	5	5
0.42	5	5	5	5	5	5	5	5
0.44	5.4	5.84	6	6	5.96	5	5.16	6
0.46	6	6	6	6	6	6	6	6
0.48	6	6	6	6	6	6	6	6
0.5	6	6	6	6	6	6	6	6
0.52	6	6	6	6	6	6	6	6
0.54	6	6	6	6	6	6	6	6
0.56	6.6	7	7	7	7	7	7	7
0.58	7	7	7	7	7	7	7	7
0.6	7	7	7	7	7	7	7	7
0.62	7	7	7	7	7	7	7	7
0.64	7.4	8	8	8	7.76	7	8	8
0.66	8	8	8	8	8	8	8	8
0.68	8	8	8	8	8	8	8	8
0.7	8	8	8	8	8	8	8	8
0.72	8.2	8.92	9	9	8.48	8	8.08	9
0.74	9	9	9	9	9	9	9	9
0.76	9	9	9	9	9	9	9	9
0.78	9	9	9	9	9	9	9	9
0.8	9	9	9	9	9	9	9	9
0.82	9.2	10	10	10	9.38	9	10	10
0.84	10	10	10	10	10	10	10	10
0.86	10	10	10	10	10	10	10	10
0.88	10	10.68	10	10	10	10	10.32	11
0.9	11	11	11	11	11	11	11	11
0.92	11	11	11	11	11	11	11	11
0.94	11	11.34	11	11	11	11	11.66	11
0.96	11.6	12.56	12	12	11.64	12	12.44	13
0.98	12.8	15.34	13	13	12.82	13	13.66	16

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.02 & 1.2 & 1.22 & 2 & 2 & 2 & 1 & 1.78 & 1 \tabularnewline
0.04 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 \tabularnewline
0.06 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 \tabularnewline
0.08 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 \tabularnewline
0.1 & 2 & 2.1 & 2 & 2.5 & 2.9 & 2 & 2.9 & 2 \tabularnewline
0.12 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.14 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.16 & 3 & 3 & 3 & 3 & 3.44 & 3 & 3 & 3 \tabularnewline
0.18 & 3.8 & 3.98 & 4 & 4 & 4 & 4 & 3.02 & 4 \tabularnewline
0.2 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
0.22 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
0.24 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
0.26 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
0.28 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
0.3 & 4 & 4.3 & 4 & 4.5 & 4.7 & 4 & 4.7 & 4 \tabularnewline
0.32 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.34 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.36 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.38 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.4 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.42 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.44 & 5.4 & 5.84 & 6 & 6 & 5.96 & 5 & 5.16 & 6 \tabularnewline
0.46 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 \tabularnewline
0.48 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 \tabularnewline
0.5 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 \tabularnewline
0.52 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 \tabularnewline
0.54 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 \tabularnewline
0.56 & 6.6 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \tabularnewline
0.58 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \tabularnewline
0.6 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \tabularnewline
0.62 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \tabularnewline
0.64 & 7.4 & 8 & 8 & 8 & 7.76 & 7 & 8 & 8 \tabularnewline
0.66 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.68 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.7 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \tabularnewline
0.72 & 8.2 & 8.92 & 9 & 9 & 8.48 & 8 & 8.08 & 9 \tabularnewline
0.74 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.76 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.78 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.8 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \tabularnewline
0.82 & 9.2 & 10 & 10 & 10 & 9.38 & 9 & 10 & 10 \tabularnewline
0.84 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.86 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \tabularnewline
0.88 & 10 & 10.68 & 10 & 10 & 10 & 10 & 10.32 & 11 \tabularnewline
0.9 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.92 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.94 & 11 & 11.34 & 11 & 11 & 11 & 11 & 11.66 & 11 \tabularnewline
0.96 & 11.6 & 12.56 & 12 & 12 & 11.64 & 12 & 12.44 & 13 \tabularnewline
0.98 & 12.8 & 15.34 & 13 & 13 & 12.82 & 13 & 13.66 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65367&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.02[/C][C]1.2[/C][C]1.22[/C][C]2[/C][C]2[/C][C]2[/C][C]1[/C][C]1.78[/C][C]1[/C][/ROW]
[ROW][C]0.04[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][/ROW]
[ROW][C]0.06[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][/ROW]
[ROW][C]0.08[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][/ROW]
[ROW][C]0.1[/C][C]2[/C][C]2.1[/C][C]2[/C][C]2.5[/C][C]2.9[/C][C]2[/C][C]2.9[/C][C]2[/C][/ROW]
[ROW][C]0.12[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.14[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.16[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3.44[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.18[/C][C]3.8[/C][C]3.98[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]3.02[/C][C]4[/C][/ROW]
[ROW][C]0.2[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.22[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.24[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.26[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.28[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.3[/C][C]4[/C][C]4.3[/C][C]4[/C][C]4.5[/C][C]4.7[/C][C]4[/C][C]4.7[/C][C]4[/C][/ROW]
[ROW][C]0.32[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.34[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.36[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.38[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.4[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.42[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.44[/C][C]5.4[/C][C]5.84[/C][C]6[/C][C]6[/C][C]5.96[/C][C]5[/C][C]5.16[/C][C]6[/C][/ROW]
[ROW][C]0.46[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][/ROW]
[ROW][C]0.48[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][/ROW]
[ROW][C]0.5[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][/ROW]
[ROW][C]0.52[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][/ROW]
[ROW][C]0.54[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][C]6[/C][/ROW]
[ROW][C]0.56[/C][C]6.6[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][/ROW]
[ROW][C]0.58[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][/ROW]
[ROW][C]0.6[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][/ROW]
[ROW][C]0.62[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][C]7[/C][/ROW]
[ROW][C]0.64[/C][C]7.4[/C][C]8[/C][C]8[/C][C]8[/C][C]7.76[/C][C]7[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.66[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.68[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.7[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[ROW][C]0.72[/C][C]8.2[/C][C]8.92[/C][C]9[/C][C]9[/C][C]8.48[/C][C]8[/C][C]8.08[/C][C]9[/C][/ROW]
[ROW][C]0.74[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.76[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.78[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.8[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.82[/C][C]9.2[/C][C]10[/C][C]10[/C][C]10[/C][C]9.38[/C][C]9[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.84[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.86[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][/ROW]
[ROW][C]0.88[/C][C]10[/C][C]10.68[/C][C]10[/C][C]10[/C][C]10[/C][C]10[/C][C]10.32[/C][C]11[/C][/ROW]
[ROW][C]0.9[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]0.92[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]0.94[/C][C]11[/C][C]11.34[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11.66[/C][C]11[/C][/ROW]
[ROW][C]0.96[/C][C]11.6[/C][C]12.56[/C][C]12[/C][C]12[/C][C]11.64[/C][C]12[/C][C]12.44[/C][C]13[/C][/ROW]
[ROW][C]0.98[/C][C]12.8[/C][C]15.34[/C][C]13[/C][C]13[/C][C]12.82[/C][C]13[/C][C]13.66[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65367&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65367&T=1

As an alternative you can also use a QR Code:

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

Percentiles - Ungrouped Data
p	Weighted Average at Xnp	Weighted Average at X(n+1)p	Empirical Distribution Function	Empirical Distribution Function - Averaging	Empirical Distribution Function - Interpolation	Closest Observation	True Basic - Statistics Graphics Toolkit	MS Excel (old versions)
0.02	1.2	1.22	2	2	2	1	1.78	1
0.04	2	2	2	2	2	2	2	2
0.06	2	2	2	2	2	2	2	2
0.08	2	2	2	2	2	2	2	2
0.1	2	2.1	2	2.5	2.9	2	2.9	2
0.12	3	3	3	3	3	3	3	3
0.14	3	3	3	3	3	3	3	3
0.16	3	3	3	3	3.44	3	3	3
0.18	3.8	3.98	4	4	4	4	3.02	4
0.2	4	4	4	4	4	4	4	4
0.22	4	4	4	4	4	4	4	4
0.24	4	4	4	4	4	4	4	4
0.26	4	4	4	4	4	4	4	4
0.28	4	4	4	4	4	4	4	4
0.3	4	4.3	4	4.5	4.7	4	4.7	4
0.32	5	5	5	5	5	5	5	5
0.34	5	5	5	5	5	5	5	5
0.36	5	5	5	5	5	5	5	5
0.38	5	5	5	5	5	5	5	5
0.4	5	5	5	5	5	5	5	5
0.42	5	5	5	5	5	5	5	5
0.44	5.4	5.84	6	6	5.96	5	5.16	6
0.46	6	6	6	6	6	6	6	6
0.48	6	6	6	6	6	6	6	6
0.5	6	6	6	6	6	6	6	6
0.52	6	6	6	6	6	6	6	6
0.54	6	6	6	6	6	6	6	6
0.56	6.6	7	7	7	7	7	7	7
0.58	7	7	7	7	7	7	7	7
0.6	7	7	7	7	7	7	7	7
0.62	7	7	7	7	7	7	7	7
0.64	7.4	8	8	8	7.76	7	8	8
0.66	8	8	8	8	8	8	8	8
0.68	8	8	8	8	8	8	8	8
0.7	8	8	8	8	8	8	8	8
0.72	8.2	8.92	9	9	8.48	8	8.08	9
0.74	9	9	9	9	9	9	9	9
0.76	9	9	9	9	9	9	9	9
0.78	9	9	9	9	9	9	9	9
0.8	9	9	9	9	9	9	9	9
0.82	9.2	10	10	10	9.38	9	10	10
0.84	10	10	10	10	10	10	10	10
0.86	10	10	10	10	10	10	10	10
0.88	10	10.68	10	10	10	10	10.32	11
0.9	11	11	11	11	11	11	11	11
0.92	11	11	11	11	11	11	11	11
0.94	11	11.34	11	11	11	11	11.66	11
0.96	11.6	12.56	12	12	11.64	12	12.44	13
0.98	12.8	15.34	13	13	12.82	13	13.66	16

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

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

x <-sort(x[!is.na(x)])
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
lx <- length(x)
qval <- array(NA,dim=c(99,8))
mystep <- 25
mystart <- 25
if (lx>10){
mystep=10
mystart=10
}
if (lx>20){
mystep=5
mystart=5
}
if (lx>50){
mystep=2
mystart=2
}
if (lx>=100){
mystep=1
mystart=1
}
for (perc in seq(mystart,99,mystep)) {
qval[perc,1] <- q1(x,lx,perc/100,i,f)
qval[perc,2] <- q2(x,lx,perc/100,i,f)
qval[perc,3] <- q3(x,lx,perc/100,i,f)
qval[perc,4] <- q4(x,lx,perc/100,i,f)
qval[perc,5] <- q5(x,lx,perc/100,i,f)
qval[perc,6] <- q6(x,lx,perc/100,i,f)
qval[perc,7] <- q7(x,lx,perc/100,i,f)
qval[perc,8] <- q8(x,lx,perc/100,i,f)
}
bitmap(file='test1.png')
myqqnorm <- qqnorm(x,col=2)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Percentiles - Ungrouped Data',9,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p',1,TRUE)
a<-table.element(a,hyperlink('method_1.htm', 'Weighted Average at Xnp',''),1,TRUE)
a<-table.element(a,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),1,TRUE)
a<-table.element(a,hyperlink('method_3.htm','Empirical Distribution Function',''),1,TRUE)
a<-table.element(a,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),1,TRUE)
a<-table.element(a,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),1,TRUE)
a<-table.element(a,hyperlink('method_6.htm','Closest Observation',''),1,TRUE)
a<-table.element(a,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),1,TRUE)
a<-table.element(a,hyperlink('method_8.htm','MS Excel (old versions)',''),1,TRUE)
a<-table.row.end(a)
for (perc in seq(mystart,99,mystep)) {
a<-table.row.start(a)
a<-table.element(a,round(perc/100,2),1,TRUE)
for (j in 1:8) {
a<-table.element(a,round(qval[perc,j],6))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code