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rwasp_percentiles.wasp

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Percentiles

Date of computation

Tue, 20 Oct 2009 13:34:55 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/20/t1256067423sysfjj367yl2gm7.htm/, Retrieved Thu, 02 May 2024 15:09:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=49074, Retrieved Thu, 02 May 2024 15:09:50 +0000

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User-defined keywords

Estimated Impact

123

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

-     [Exercise 1.13] [Ex. 1.13 Babies c...] [2009-10-07 19:52:56] [62d80b0d35658f72f0b015f194fffbd1]
-   P   [Exercise 1.13] [Ex. 1.13 Babies c...] [2009-10-07 20:14:54] [62d80b0d35658f72f0b015f194fffbd1]
- R       [Exercise 1.13] [Ex. 1.13 Babies c...] [2009-10-07 20:34:03] [62d80b0d35658f72f0b015f194fffbd1]
F RMPD      [Univariate Data Series] [3e grafiek] [2009-10-12 22:14:27] [df1349bc077b4746949c1672214183f7]
-   PD        [Univariate Data Series] [Y[t] - X[t] = c +...] [2009-10-20 19:10:29] [df1349bc077b4746949c1672214183f7]
-   PD          [Univariate Data Series] [Y[t] / X[t] = c +...] [2009-10-20 19:15:17] [df1349bc077b4746949c1672214183f7]
- RM D            [Central Tendency] [Central Tendency ...] [2009-10-20 19:21:07] [df1349bc077b4746949c1672214183f7]
- RM                [Harrell-Davis Quantiles] [Harrel Davis 95% ...] [2009-10-20 19:29:53] [df1349bc077b4746949c1672214183f7]
- RM                    [Percentiles] [Percentiles 80% P...] [2009-10-20 19:34:55] [2f1ac16c1440fb5aa417f0550c73728d] [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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49074&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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=49074&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49074&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' @ 193.190.124.24

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	17.5448	17.5716	18.59	18.59	18.636	17.25	18.2684	17.25
0.04	18.6912	18.7004	18.82	18.82	19.036	18.59	18.7096	18.59
0.06	19.1764	19.2088	19.36	19.36	19.396	19.36	18.9712	19.36
0.08	19.4128	19.4176	19.42	19.42	19.964	19.42	19.3624	19.42
0.1	20.213	20.326	21.23	21.23	21.23	20.1	21.004	20.1
0.12	21.2844	21.3048	21.4	21.4	21.446	21.23	21.3252	21.23
0.14	21.5242	21.5564	21.63	21.63	22.502	21.63	21.4736	21.63
0.16	23.2868	23.6356	23.81	23.81	23.906	23.81	21.8044	23.81
0.18	23.9668	24.0116	23.97	23.97	24.178	23.97	24.1884	23.97
0.2	24.516	24.802	25.66	25.66	25.66	24.23	25.088	24.23
0.22	26.1346	26.3832	26.79	26.79	26.996	25.66	26.0668	26.79
0.24	27.4492	27.6964	27.82	27.82	28.16	27.82	26.9136	27.82
0.26	28.551	28.6808	28.67	28.67	28.724	28.67	28.7492	28.67
0.28	28.7784	28.8428	28.99	28.99	28.944	28.76	28.9072	28.76
0.3	29.083	29.176	29.3	29.3	29.3	28.99	29.114	29.3
0.32	29.3728	29.4176	29.44	29.44	29.584	29.44	29.3224	29.44
0.34	29.9728	30.1792	30.16	30.16	30.256	30.16	30.3808	30.16
0.36	30.3904	30.4608	30.4	30.4	30.514	30.4	30.5292	30.4
0.38	30.6422	30.7524	30.88	30.88	30.822	30.59	30.7176	30.88
0.4	30.88	30.88	30.88	30.88	30.88	30.88	30.88	30.88
0.42	30.9358	31.0048	30.97	30.97	31.144	30.97	31.8052	30.97
0.44	31.7008	31.8764	31.84	31.84	31.892	31.84	31.9336	31.84
0.46	31.973	31.996	32.02	32.02	32	31.97	31.994	32.02
0.48	32.146	32.362	32.47	32.47	32.38	32.02	32.128	32.47
0.5	32.92	33.37	33.37	33.37	33.37	33.37	33.37	33.37
0.52	33.4636	33.5216	33.5	33.5	33.518	33.5	33.5684	33.5
0.54	33.5846	34.0412	33.59	33.59	33.966	33.59	34.0788	33.59
0.56	34.5588	34.6596	34.71	34.71	34.638	34.53	34.5804	34.71
0.58	34.7518	34.8156	34.82	34.82	34.798	34.71	34.7144	34.82
0.6	34.922	35.124	34.99	34.99	34.99	34.99	35.526	34.99
0.62	35.5394	35.6864	35.66	35.66	35.672	35.66	35.6936	35.66
0.64	35.7352	35.9784	36.1	36.1	35.872	35.72	35.8416	36.1
0.66	36.139	36.238	36.25	36.25	36.19	36.1	36.112	36.25
0.68	36.2596	36.3068	36.27	36.27	36.266	36.25	36.4632	36.27
0.7	36.431	36.588	36.5	36.5	36.5	36.5	36.632	36.5
0.72	36.7024	36.944	36.72	36.72	36.79	36.72	36.846	37.07
0.74	37.07	37.07	37.07	37.07	37.07	37.07	37.07	37.07
0.76	37.322	37.7988	37.77	37.77	37.49	37.07	37.9812	37.77
0.78	37.9092	38.1612	38.01	38.01	37.962	38.01	38.2788	38.01
0.8	38.346	38.526	38.43	38.43	38.43	38.43	38.494	38.59
0.82	38.5938	38.7496	38.78	38.78	38.628	38.59	38.6204	38.78
0.84	38.9216	39.3796	39.37	39.37	39.016	38.78	39.4804	39.37
0.86	39.4252	39.5636	39.49	39.49	39.442	39.37	39.6464	39.49
0.88	39.6464	40.2464	39.72	39.72	39.674	39.72	40.1336	40.66
0.9	40.566	40.74	40.66	40.66	40.66	40.66	40.68	40.76
0.92	40.7984	41.1108	41.08	41.08	40.824	40.76	41.8192	41.08
0.94	41.3418	41.8528	41.85	41.85	41.388	41.08	41.8572	41.85
0.96	41.8556	42.0784	41.86	41.86	41.856	41.86	42.0616	42.28
0.98	42.1876	42.7436	42.28	42.28	42.196	42.28	42.4264	42.89

\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 & 17.5448 & 17.5716 & 18.59 & 18.59 & 18.636 & 17.25 & 18.2684 & 17.25 \tabularnewline
0.04 & 18.6912 & 18.7004 & 18.82 & 18.82 & 19.036 & 18.59 & 18.7096 & 18.59 \tabularnewline
0.06 & 19.1764 & 19.2088 & 19.36 & 19.36 & 19.396 & 19.36 & 18.9712 & 19.36 \tabularnewline
0.08 & 19.4128 & 19.4176 & 19.42 & 19.42 & 19.964 & 19.42 & 19.3624 & 19.42 \tabularnewline
0.1 & 20.213 & 20.326 & 21.23 & 21.23 & 21.23 & 20.1 & 21.004 & 20.1 \tabularnewline
0.12 & 21.2844 & 21.3048 & 21.4 & 21.4 & 21.446 & 21.23 & 21.3252 & 21.23 \tabularnewline
0.14 & 21.5242 & 21.5564 & 21.63 & 21.63 & 22.502 & 21.63 & 21.4736 & 21.63 \tabularnewline
0.16 & 23.2868 & 23.6356 & 23.81 & 23.81 & 23.906 & 23.81 & 21.8044 & 23.81 \tabularnewline
0.18 & 23.9668 & 24.0116 & 23.97 & 23.97 & 24.178 & 23.97 & 24.1884 & 23.97 \tabularnewline
0.2 & 24.516 & 24.802 & 25.66 & 25.66 & 25.66 & 24.23 & 25.088 & 24.23 \tabularnewline
0.22 & 26.1346 & 26.3832 & 26.79 & 26.79 & 26.996 & 25.66 & 26.0668 & 26.79 \tabularnewline
0.24 & 27.4492 & 27.6964 & 27.82 & 27.82 & 28.16 & 27.82 & 26.9136 & 27.82 \tabularnewline
0.26 & 28.551 & 28.6808 & 28.67 & 28.67 & 28.724 & 28.67 & 28.7492 & 28.67 \tabularnewline
0.28 & 28.7784 & 28.8428 & 28.99 & 28.99 & 28.944 & 28.76 & 28.9072 & 28.76 \tabularnewline
0.3 & 29.083 & 29.176 & 29.3 & 29.3 & 29.3 & 28.99 & 29.114 & 29.3 \tabularnewline
0.32 & 29.3728 & 29.4176 & 29.44 & 29.44 & 29.584 & 29.44 & 29.3224 & 29.44 \tabularnewline
0.34 & 29.9728 & 30.1792 & 30.16 & 30.16 & 30.256 & 30.16 & 30.3808 & 30.16 \tabularnewline
0.36 & 30.3904 & 30.4608 & 30.4 & 30.4 & 30.514 & 30.4 & 30.5292 & 30.4 \tabularnewline
0.38 & 30.6422 & 30.7524 & 30.88 & 30.88 & 30.822 & 30.59 & 30.7176 & 30.88 \tabularnewline
0.4 & 30.88 & 30.88 & 30.88 & 30.88 & 30.88 & 30.88 & 30.88 & 30.88 \tabularnewline
0.42 & 30.9358 & 31.0048 & 30.97 & 30.97 & 31.144 & 30.97 & 31.8052 & 30.97 \tabularnewline
0.44 & 31.7008 & 31.8764 & 31.84 & 31.84 & 31.892 & 31.84 & 31.9336 & 31.84 \tabularnewline
0.46 & 31.973 & 31.996 & 32.02 & 32.02 & 32 & 31.97 & 31.994 & 32.02 \tabularnewline
0.48 & 32.146 & 32.362 & 32.47 & 32.47 & 32.38 & 32.02 & 32.128 & 32.47 \tabularnewline
0.5 & 32.92 & 33.37 & 33.37 & 33.37 & 33.37 & 33.37 & 33.37 & 33.37 \tabularnewline
0.52 & 33.4636 & 33.5216 & 33.5 & 33.5 & 33.518 & 33.5 & 33.5684 & 33.5 \tabularnewline
0.54 & 33.5846 & 34.0412 & 33.59 & 33.59 & 33.966 & 33.59 & 34.0788 & 33.59 \tabularnewline
0.56 & 34.5588 & 34.6596 & 34.71 & 34.71 & 34.638 & 34.53 & 34.5804 & 34.71 \tabularnewline
0.58 & 34.7518 & 34.8156 & 34.82 & 34.82 & 34.798 & 34.71 & 34.7144 & 34.82 \tabularnewline
0.6 & 34.922 & 35.124 & 34.99 & 34.99 & 34.99 & 34.99 & 35.526 & 34.99 \tabularnewline
0.62 & 35.5394 & 35.6864 & 35.66 & 35.66 & 35.672 & 35.66 & 35.6936 & 35.66 \tabularnewline
0.64 & 35.7352 & 35.9784 & 36.1 & 36.1 & 35.872 & 35.72 & 35.8416 & 36.1 \tabularnewline
0.66 & 36.139 & 36.238 & 36.25 & 36.25 & 36.19 & 36.1 & 36.112 & 36.25 \tabularnewline
0.68 & 36.2596 & 36.3068 & 36.27 & 36.27 & 36.266 & 36.25 & 36.4632 & 36.27 \tabularnewline
0.7 & 36.431 & 36.588 & 36.5 & 36.5 & 36.5 & 36.5 & 36.632 & 36.5 \tabularnewline
0.72 & 36.7024 & 36.944 & 36.72 & 36.72 & 36.79 & 36.72 & 36.846 & 37.07 \tabularnewline
0.74 & 37.07 & 37.07 & 37.07 & 37.07 & 37.07 & 37.07 & 37.07 & 37.07 \tabularnewline
0.76 & 37.322 & 37.7988 & 37.77 & 37.77 & 37.49 & 37.07 & 37.9812 & 37.77 \tabularnewline
0.78 & 37.9092 & 38.1612 & 38.01 & 38.01 & 37.962 & 38.01 & 38.2788 & 38.01 \tabularnewline
0.8 & 38.346 & 38.526 & 38.43 & 38.43 & 38.43 & 38.43 & 38.494 & 38.59 \tabularnewline
0.82 & 38.5938 & 38.7496 & 38.78 & 38.78 & 38.628 & 38.59 & 38.6204 & 38.78 \tabularnewline
0.84 & 38.9216 & 39.3796 & 39.37 & 39.37 & 39.016 & 38.78 & 39.4804 & 39.37 \tabularnewline
0.86 & 39.4252 & 39.5636 & 39.49 & 39.49 & 39.442 & 39.37 & 39.6464 & 39.49 \tabularnewline
0.88 & 39.6464 & 40.2464 & 39.72 & 39.72 & 39.674 & 39.72 & 40.1336 & 40.66 \tabularnewline
0.9 & 40.566 & 40.74 & 40.66 & 40.66 & 40.66 & 40.66 & 40.68 & 40.76 \tabularnewline
0.92 & 40.7984 & 41.1108 & 41.08 & 41.08 & 40.824 & 40.76 & 41.8192 & 41.08 \tabularnewline
0.94 & 41.3418 & 41.8528 & 41.85 & 41.85 & 41.388 & 41.08 & 41.8572 & 41.85 \tabularnewline
0.96 & 41.8556 & 42.0784 & 41.86 & 41.86 & 41.856 & 41.86 & 42.0616 & 42.28 \tabularnewline
0.98 & 42.1876 & 42.7436 & 42.28 & 42.28 & 42.196 & 42.28 & 42.4264 & 42.89 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49074&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]17.5448[/C][C]17.5716[/C][C]18.59[/C][C]18.59[/C][C]18.636[/C][C]17.25[/C][C]18.2684[/C][C]17.25[/C][/ROW]
[ROW][C]0.04[/C][C]18.6912[/C][C]18.7004[/C][C]18.82[/C][C]18.82[/C][C]19.036[/C][C]18.59[/C][C]18.7096[/C][C]18.59[/C][/ROW]
[ROW][C]0.06[/C][C]19.1764[/C][C]19.2088[/C][C]19.36[/C][C]19.36[/C][C]19.396[/C][C]19.36[/C][C]18.9712[/C][C]19.36[/C][/ROW]
[ROW][C]0.08[/C][C]19.4128[/C][C]19.4176[/C][C]19.42[/C][C]19.42[/C][C]19.964[/C][C]19.42[/C][C]19.3624[/C][C]19.42[/C][/ROW]
[ROW][C]0.1[/C][C]20.213[/C][C]20.326[/C][C]21.23[/C][C]21.23[/C][C]21.23[/C][C]20.1[/C][C]21.004[/C][C]20.1[/C][/ROW]
[ROW][C]0.12[/C][C]21.2844[/C][C]21.3048[/C][C]21.4[/C][C]21.4[/C][C]21.446[/C][C]21.23[/C][C]21.3252[/C][C]21.23[/C][/ROW]
[ROW][C]0.14[/C][C]21.5242[/C][C]21.5564[/C][C]21.63[/C][C]21.63[/C][C]22.502[/C][C]21.63[/C][C]21.4736[/C][C]21.63[/C][/ROW]
[ROW][C]0.16[/C][C]23.2868[/C][C]23.6356[/C][C]23.81[/C][C]23.81[/C][C]23.906[/C][C]23.81[/C][C]21.8044[/C][C]23.81[/C][/ROW]
[ROW][C]0.18[/C][C]23.9668[/C][C]24.0116[/C][C]23.97[/C][C]23.97[/C][C]24.178[/C][C]23.97[/C][C]24.1884[/C][C]23.97[/C][/ROW]
[ROW][C]0.2[/C][C]24.516[/C][C]24.802[/C][C]25.66[/C][C]25.66[/C][C]25.66[/C][C]24.23[/C][C]25.088[/C][C]24.23[/C][/ROW]
[ROW][C]0.22[/C][C]26.1346[/C][C]26.3832[/C][C]26.79[/C][C]26.79[/C][C]26.996[/C][C]25.66[/C][C]26.0668[/C][C]26.79[/C][/ROW]
[ROW][C]0.24[/C][C]27.4492[/C][C]27.6964[/C][C]27.82[/C][C]27.82[/C][C]28.16[/C][C]27.82[/C][C]26.9136[/C][C]27.82[/C][/ROW]
[ROW][C]0.26[/C][C]28.551[/C][C]28.6808[/C][C]28.67[/C][C]28.67[/C][C]28.724[/C][C]28.67[/C][C]28.7492[/C][C]28.67[/C][/ROW]
[ROW][C]0.28[/C][C]28.7784[/C][C]28.8428[/C][C]28.99[/C][C]28.99[/C][C]28.944[/C][C]28.76[/C][C]28.9072[/C][C]28.76[/C][/ROW]
[ROW][C]0.3[/C][C]29.083[/C][C]29.176[/C][C]29.3[/C][C]29.3[/C][C]29.3[/C][C]28.99[/C][C]29.114[/C][C]29.3[/C][/ROW]
[ROW][C]0.32[/C][C]29.3728[/C][C]29.4176[/C][C]29.44[/C][C]29.44[/C][C]29.584[/C][C]29.44[/C][C]29.3224[/C][C]29.44[/C][/ROW]
[ROW][C]0.34[/C][C]29.9728[/C][C]30.1792[/C][C]30.16[/C][C]30.16[/C][C]30.256[/C][C]30.16[/C][C]30.3808[/C][C]30.16[/C][/ROW]
[ROW][C]0.36[/C][C]30.3904[/C][C]30.4608[/C][C]30.4[/C][C]30.4[/C][C]30.514[/C][C]30.4[/C][C]30.5292[/C][C]30.4[/C][/ROW]
[ROW][C]0.38[/C][C]30.6422[/C][C]30.7524[/C][C]30.88[/C][C]30.88[/C][C]30.822[/C][C]30.59[/C][C]30.7176[/C][C]30.88[/C][/ROW]
[ROW][C]0.4[/C][C]30.88[/C][C]30.88[/C][C]30.88[/C][C]30.88[/C][C]30.88[/C][C]30.88[/C][C]30.88[/C][C]30.88[/C][/ROW]
[ROW][C]0.42[/C][C]30.9358[/C][C]31.0048[/C][C]30.97[/C][C]30.97[/C][C]31.144[/C][C]30.97[/C][C]31.8052[/C][C]30.97[/C][/ROW]
[ROW][C]0.44[/C][C]31.7008[/C][C]31.8764[/C][C]31.84[/C][C]31.84[/C][C]31.892[/C][C]31.84[/C][C]31.9336[/C][C]31.84[/C][/ROW]
[ROW][C]0.46[/C][C]31.973[/C][C]31.996[/C][C]32.02[/C][C]32.02[/C][C]32[/C][C]31.97[/C][C]31.994[/C][C]32.02[/C][/ROW]
[ROW][C]0.48[/C][C]32.146[/C][C]32.362[/C][C]32.47[/C][C]32.47[/C][C]32.38[/C][C]32.02[/C][C]32.128[/C][C]32.47[/C][/ROW]
[ROW][C]0.5[/C][C]32.92[/C][C]33.37[/C][C]33.37[/C][C]33.37[/C][C]33.37[/C][C]33.37[/C][C]33.37[/C][C]33.37[/C][/ROW]
[ROW][C]0.52[/C][C]33.4636[/C][C]33.5216[/C][C]33.5[/C][C]33.5[/C][C]33.518[/C][C]33.5[/C][C]33.5684[/C][C]33.5[/C][/ROW]
[ROW][C]0.54[/C][C]33.5846[/C][C]34.0412[/C][C]33.59[/C][C]33.59[/C][C]33.966[/C][C]33.59[/C][C]34.0788[/C][C]33.59[/C][/ROW]
[ROW][C]0.56[/C][C]34.5588[/C][C]34.6596[/C][C]34.71[/C][C]34.71[/C][C]34.638[/C][C]34.53[/C][C]34.5804[/C][C]34.71[/C][/ROW]
[ROW][C]0.58[/C][C]34.7518[/C][C]34.8156[/C][C]34.82[/C][C]34.82[/C][C]34.798[/C][C]34.71[/C][C]34.7144[/C][C]34.82[/C][/ROW]
[ROW][C]0.6[/C][C]34.922[/C][C]35.124[/C][C]34.99[/C][C]34.99[/C][C]34.99[/C][C]34.99[/C][C]35.526[/C][C]34.99[/C][/ROW]
[ROW][C]0.62[/C][C]35.5394[/C][C]35.6864[/C][C]35.66[/C][C]35.66[/C][C]35.672[/C][C]35.66[/C][C]35.6936[/C][C]35.66[/C][/ROW]
[ROW][C]0.64[/C][C]35.7352[/C][C]35.9784[/C][C]36.1[/C][C]36.1[/C][C]35.872[/C][C]35.72[/C][C]35.8416[/C][C]36.1[/C][/ROW]
[ROW][C]0.66[/C][C]36.139[/C][C]36.238[/C][C]36.25[/C][C]36.25[/C][C]36.19[/C][C]36.1[/C][C]36.112[/C][C]36.25[/C][/ROW]
[ROW][C]0.68[/C][C]36.2596[/C][C]36.3068[/C][C]36.27[/C][C]36.27[/C][C]36.266[/C][C]36.25[/C][C]36.4632[/C][C]36.27[/C][/ROW]
[ROW][C]0.7[/C][C]36.431[/C][C]36.588[/C][C]36.5[/C][C]36.5[/C][C]36.5[/C][C]36.5[/C][C]36.632[/C][C]36.5[/C][/ROW]
[ROW][C]0.72[/C][C]36.7024[/C][C]36.944[/C][C]36.72[/C][C]36.72[/C][C]36.79[/C][C]36.72[/C][C]36.846[/C][C]37.07[/C][/ROW]
[ROW][C]0.74[/C][C]37.07[/C][C]37.07[/C][C]37.07[/C][C]37.07[/C][C]37.07[/C][C]37.07[/C][C]37.07[/C][C]37.07[/C][/ROW]
[ROW][C]0.76[/C][C]37.322[/C][C]37.7988[/C][C]37.77[/C][C]37.77[/C][C]37.49[/C][C]37.07[/C][C]37.9812[/C][C]37.77[/C][/ROW]
[ROW][C]0.78[/C][C]37.9092[/C][C]38.1612[/C][C]38.01[/C][C]38.01[/C][C]37.962[/C][C]38.01[/C][C]38.2788[/C][C]38.01[/C][/ROW]
[ROW][C]0.8[/C][C]38.346[/C][C]38.526[/C][C]38.43[/C][C]38.43[/C][C]38.43[/C][C]38.43[/C][C]38.494[/C][C]38.59[/C][/ROW]
[ROW][C]0.82[/C][C]38.5938[/C][C]38.7496[/C][C]38.78[/C][C]38.78[/C][C]38.628[/C][C]38.59[/C][C]38.6204[/C][C]38.78[/C][/ROW]
[ROW][C]0.84[/C][C]38.9216[/C][C]39.3796[/C][C]39.37[/C][C]39.37[/C][C]39.016[/C][C]38.78[/C][C]39.4804[/C][C]39.37[/C][/ROW]
[ROW][C]0.86[/C][C]39.4252[/C][C]39.5636[/C][C]39.49[/C][C]39.49[/C][C]39.442[/C][C]39.37[/C][C]39.6464[/C][C]39.49[/C][/ROW]
[ROW][C]0.88[/C][C]39.6464[/C][C]40.2464[/C][C]39.72[/C][C]39.72[/C][C]39.674[/C][C]39.72[/C][C]40.1336[/C][C]40.66[/C][/ROW]
[ROW][C]0.9[/C][C]40.566[/C][C]40.74[/C][C]40.66[/C][C]40.66[/C][C]40.66[/C][C]40.66[/C][C]40.68[/C][C]40.76[/C][/ROW]
[ROW][C]0.92[/C][C]40.7984[/C][C]41.1108[/C][C]41.08[/C][C]41.08[/C][C]40.824[/C][C]40.76[/C][C]41.8192[/C][C]41.08[/C][/ROW]
[ROW][C]0.94[/C][C]41.3418[/C][C]41.8528[/C][C]41.85[/C][C]41.85[/C][C]41.388[/C][C]41.08[/C][C]41.8572[/C][C]41.85[/C][/ROW]
[ROW][C]0.96[/C][C]41.8556[/C][C]42.0784[/C][C]41.86[/C][C]41.86[/C][C]41.856[/C][C]41.86[/C][C]42.0616[/C][C]42.28[/C][/ROW]
[ROW][C]0.98[/C][C]42.1876[/C][C]42.7436[/C][C]42.28[/C][C]42.28[/C][C]42.196[/C][C]42.28[/C][C]42.4264[/C][C]42.89[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=49074&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49074&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	17.5448	17.5716	18.59	18.59	18.636	17.25	18.2684	17.25
0.04	18.6912	18.7004	18.82	18.82	19.036	18.59	18.7096	18.59
0.06	19.1764	19.2088	19.36	19.36	19.396	19.36	18.9712	19.36
0.08	19.4128	19.4176	19.42	19.42	19.964	19.42	19.3624	19.42
0.1	20.213	20.326	21.23	21.23	21.23	20.1	21.004	20.1
0.12	21.2844	21.3048	21.4	21.4	21.446	21.23	21.3252	21.23
0.14	21.5242	21.5564	21.63	21.63	22.502	21.63	21.4736	21.63
0.16	23.2868	23.6356	23.81	23.81	23.906	23.81	21.8044	23.81
0.18	23.9668	24.0116	23.97	23.97	24.178	23.97	24.1884	23.97
0.2	24.516	24.802	25.66	25.66	25.66	24.23	25.088	24.23
0.22	26.1346	26.3832	26.79	26.79	26.996	25.66	26.0668	26.79
0.24	27.4492	27.6964	27.82	27.82	28.16	27.82	26.9136	27.82
0.26	28.551	28.6808	28.67	28.67	28.724	28.67	28.7492	28.67
0.28	28.7784	28.8428	28.99	28.99	28.944	28.76	28.9072	28.76
0.3	29.083	29.176	29.3	29.3	29.3	28.99	29.114	29.3
0.32	29.3728	29.4176	29.44	29.44	29.584	29.44	29.3224	29.44
0.34	29.9728	30.1792	30.16	30.16	30.256	30.16	30.3808	30.16
0.36	30.3904	30.4608	30.4	30.4	30.514	30.4	30.5292	30.4
0.38	30.6422	30.7524	30.88	30.88	30.822	30.59	30.7176	30.88
0.4	30.88	30.88	30.88	30.88	30.88	30.88	30.88	30.88
0.42	30.9358	31.0048	30.97	30.97	31.144	30.97	31.8052	30.97
0.44	31.7008	31.8764	31.84	31.84	31.892	31.84	31.9336	31.84
0.46	31.973	31.996	32.02	32.02	32	31.97	31.994	32.02
0.48	32.146	32.362	32.47	32.47	32.38	32.02	32.128	32.47
0.5	32.92	33.37	33.37	33.37	33.37	33.37	33.37	33.37
0.52	33.4636	33.5216	33.5	33.5	33.518	33.5	33.5684	33.5
0.54	33.5846	34.0412	33.59	33.59	33.966	33.59	34.0788	33.59
0.56	34.5588	34.6596	34.71	34.71	34.638	34.53	34.5804	34.71
0.58	34.7518	34.8156	34.82	34.82	34.798	34.71	34.7144	34.82
0.6	34.922	35.124	34.99	34.99	34.99	34.99	35.526	34.99
0.62	35.5394	35.6864	35.66	35.66	35.672	35.66	35.6936	35.66
0.64	35.7352	35.9784	36.1	36.1	35.872	35.72	35.8416	36.1
0.66	36.139	36.238	36.25	36.25	36.19	36.1	36.112	36.25
0.68	36.2596	36.3068	36.27	36.27	36.266	36.25	36.4632	36.27
0.7	36.431	36.588	36.5	36.5	36.5	36.5	36.632	36.5
0.72	36.7024	36.944	36.72	36.72	36.79	36.72	36.846	37.07
0.74	37.07	37.07	37.07	37.07	37.07	37.07	37.07	37.07
0.76	37.322	37.7988	37.77	37.77	37.49	37.07	37.9812	37.77
0.78	37.9092	38.1612	38.01	38.01	37.962	38.01	38.2788	38.01
0.8	38.346	38.526	38.43	38.43	38.43	38.43	38.494	38.59
0.82	38.5938	38.7496	38.78	38.78	38.628	38.59	38.6204	38.78
0.84	38.9216	39.3796	39.37	39.37	39.016	38.78	39.4804	39.37
0.86	39.4252	39.5636	39.49	39.49	39.442	39.37	39.6464	39.49
0.88	39.6464	40.2464	39.72	39.72	39.674	39.72	40.1336	40.66
0.9	40.566	40.74	40.66	40.66	40.66	40.66	40.68	40.76
0.92	40.7984	41.1108	41.08	41.08	40.824	40.76	41.8192	41.08
0.94	41.3418	41.8528	41.85	41.85	41.388	41.08	41.8572	41.85
0.96	41.8556	42.0784	41.86	41.86	41.856	41.86	42.0616	42.28
0.98	42.1876	42.7436	42.28	42.28	42.196	42.28	42.4264	42.89

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Y[t] / X[t] = c + e[t] ; par3 = Y[t] - X[t] = c + e[t] ;

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