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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationSat, 22 Dec 2012 08:13:37 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/22/t135618207995lqur2f016yboy.htm/, Retrieved Fri, 01 Nov 2024 01:04:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=204502, Retrieved Fri, 01 Nov 2024 01:04:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2012-12-22 13:13:37] [0b7e70096319a28f23e2583f3bf72e62] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
20
25
15
15
25
25
25
21
30
25
20
40
13
30
25
20
25
20
25
20
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15
15
12
20
5
20
15
25
22
20
22
25
20
20
35
30
25
20
20
20
25
25
15
20
35
25
25
30
23
10
22
25
25
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30
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25
25
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25
12
18
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20
22
30
25
22
20
50
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25
20
30
22
25
30
22
25
22
22
25
25
25
20
22
15
20
30
20
25
30
35
22
12
30
15
10
30
9
25
20
20
35
25
35
30
12
25
15
25
25
20
20
6
15
40
20
40
25
25
20
15
15
22
24
22
20
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25
35
40
20
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22
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25
18
25
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25
30
20
22
35
22
25
25
25
25
22
23
35
15
25
18
22
25
25
28
30
20
25
25
30
22
30
10
10
25
20
22
25
25
15
22
25
25
28
22
30
25
20
25
25
20
30
20
30
50
19
20
28
20
25
35
25
25
15
16
20
20
25
30
20
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25
25
20
20
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30
22
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18
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30
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22
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25
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22
25
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12
25
30
22
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22
25
12
18
30
25
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40
24
25
15
25
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25
25
25
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20
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30
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25
25
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50
19
50
25
35
20
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20
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25
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25
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8
20
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50
22
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25
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18
25
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18
20
25
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22
20
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10
20
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25
50
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30
50
15
25
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22
20
22
30
25
18
22
22
30
40
25
20
10
20
9
15
20
15
20
30
12
15
12
20
15
12
25
20
25
25
25
30
20
25
15
15
22
10
15
10
20
25
20
20
38
20
20
20
40
25
25
30
25
10
20
25
12
15
25
20
22
22
20
25
25
25
15
40
20
20
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25
15
20
25
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30
50
20
25
20
30
30
25
25
12
25
25
25
20
20
20
15
20
25
15
25
50
30
20
20
25
12
15
20
20
35
22
15
18
30
22
12
12
20
20
15
25
15
20
20
25
18
30
20
25
25
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15
15
22
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10
25
20
20
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12
20
5
20
15
15
25
25
25
15
25
22
25
20
18
22
25
35
25
25
25
35
30
22
30
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15
25
24
20
25
25
25
12
15
22
25
25
25
25
15
20
20
15
35
30
20
22
65
20
25
22
20
25
25
20
25
15
20
12
15
10
25
15
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35
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25
25
25
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40
25
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40
25
25
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35
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35
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22
25
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25
25
25
40
25
30
25
20
25
25
30
22
22
20
15
15
25
25
20
20
15
25
15
20
22
25
15
15
18
5
15
25
18
40
25
25
20
30
20
25
25
25
22
22
25
25
30
25
25
25
25
20
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25
25
25
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25
22
30
20
20
30
25
25
30
20
25
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25
30
18
15
22
22
25
22
22
25
15
20
22
18
35
20
20
20
25
25
30
15
25
22
26
25
20
25
25
25
22
25
25
20
22
30
15
30
25
20
25
25
35
22
20
25
20
20
18
20
22
25
10
20
25
20
20
30
25
20
15
20
25
10
20
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22
22
25
25
15
25
20
10
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16
25
35
25
15
25
25
30
25
10
22
20
25
20
20
25
22
18
30
19
25
20
25
20
25
20
22
12
30
12
22
25
25
25
25
30
30
10
22
22
25
20
22
20
25
20
15
25
20
25
20
30
15
40
25
20
22
22
30
20
40
20
25
20
25
20
50
50
25
25
40
30
22
30
20
25
25
30
25
25
20
18
18
28
25
22
15
40
40
12
12
18
12
25
26
18
25
22
15
25
15
15
15
25
15
12
22
20
20
25
20
12
9
15
12
15
25
20
20
15
15
30
21
25
22
22
50
15
25
15
25
22
18
50
20
50
20
20
30
25
20
22
25
50
40
25
25
25
25
30
40
25
30
20

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204502&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204502&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204502&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,6[530.0033330.0033330.001667
[6,8[710.0011110.0044440.000556
[8,10[940.0044440.0088890.002222
[10,12[11170.0188890.0277780.009444
[12,14[13260.0288890.0566670.014444
[14,16[15780.0866670.1433330.043333
[16,18[1730.0033330.1466670.001667
[18,20[19280.0311110.1777780.015556
[20,22[211970.2188890.3966670.109444
[22,24[23990.110.5066670.055
[24,26[253000.3333330.840.166667
[26,28[2720.0022220.8422220.001111
[28,30[2940.0044440.8466670.002222
[30,32[31800.0888890.9355560.044444
[32,34[33000.9355560
[34,36[35200.0222220.9577780.011111
[36,38[37000.9577780
[38,40[3910.0011110.9588890.000556
[40,42[41200.0222220.9811110.011111
[42,44[43000.9811110
[44,46[45000.9811110
[46,48[47000.9811110
[48,50[49000.9811110
[50,52[51160.0177780.9988890.008889
[52,54[53000.9988890
[54,56[55000.9988890
[56,58[57000.9988890
[58,60[59000.9988890
[60,62[61000.9988890
[62,64[63000.9988890
[64,66]6510.00111110.000556

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,6[ & 5 & 3 & 0.003333 & 0.003333 & 0.001667 \tabularnewline
[6,8[ & 7 & 1 & 0.001111 & 0.004444 & 0.000556 \tabularnewline
[8,10[ & 9 & 4 & 0.004444 & 0.008889 & 0.002222 \tabularnewline
[10,12[ & 11 & 17 & 0.018889 & 0.027778 & 0.009444 \tabularnewline
[12,14[ & 13 & 26 & 0.028889 & 0.056667 & 0.014444 \tabularnewline
[14,16[ & 15 & 78 & 0.086667 & 0.143333 & 0.043333 \tabularnewline
[16,18[ & 17 & 3 & 0.003333 & 0.146667 & 0.001667 \tabularnewline
[18,20[ & 19 & 28 & 0.031111 & 0.177778 & 0.015556 \tabularnewline
[20,22[ & 21 & 197 & 0.218889 & 0.396667 & 0.109444 \tabularnewline
[22,24[ & 23 & 99 & 0.11 & 0.506667 & 0.055 \tabularnewline
[24,26[ & 25 & 300 & 0.333333 & 0.84 & 0.166667 \tabularnewline
[26,28[ & 27 & 2 & 0.002222 & 0.842222 & 0.001111 \tabularnewline
[28,30[ & 29 & 4 & 0.004444 & 0.846667 & 0.002222 \tabularnewline
[30,32[ & 31 & 80 & 0.088889 & 0.935556 & 0.044444 \tabularnewline
[32,34[ & 33 & 0 & 0 & 0.935556 & 0 \tabularnewline
[34,36[ & 35 & 20 & 0.022222 & 0.957778 & 0.011111 \tabularnewline
[36,38[ & 37 & 0 & 0 & 0.957778 & 0 \tabularnewline
[38,40[ & 39 & 1 & 0.001111 & 0.958889 & 0.000556 \tabularnewline
[40,42[ & 41 & 20 & 0.022222 & 0.981111 & 0.011111 \tabularnewline
[42,44[ & 43 & 0 & 0 & 0.981111 & 0 \tabularnewline
[44,46[ & 45 & 0 & 0 & 0.981111 & 0 \tabularnewline
[46,48[ & 47 & 0 & 0 & 0.981111 & 0 \tabularnewline
[48,50[ & 49 & 0 & 0 & 0.981111 & 0 \tabularnewline
[50,52[ & 51 & 16 & 0.017778 & 0.998889 & 0.008889 \tabularnewline
[52,54[ & 53 & 0 & 0 & 0.998889 & 0 \tabularnewline
[54,56[ & 55 & 0 & 0 & 0.998889 & 0 \tabularnewline
[56,58[ & 57 & 0 & 0 & 0.998889 & 0 \tabularnewline
[58,60[ & 59 & 0 & 0 & 0.998889 & 0 \tabularnewline
[60,62[ & 61 & 0 & 0 & 0.998889 & 0 \tabularnewline
[62,64[ & 63 & 0 & 0 & 0.998889 & 0 \tabularnewline
[64,66] & 65 & 1 & 0.001111 & 1 & 0.000556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204502&T=1

[TABLE]
[ROW][C]Frequency Table (Histogram)[/C][/ROW]
[ROW][C]Bins[/C][C]Midpoint[/C][C]Abs. Frequency[/C][C]Rel. Frequency[/C][C]Cumul. Rel. Freq.[/C][C]Density[/C][/ROW]
[ROW][C][4,6[[/C][C]5[/C][C]3[/C][C]0.003333[/C][C]0.003333[/C][C]0.001667[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]1[/C][C]0.001111[/C][C]0.004444[/C][C]0.000556[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]4[/C][C]0.004444[/C][C]0.008889[/C][C]0.002222[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]17[/C][C]0.018889[/C][C]0.027778[/C][C]0.009444[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]26[/C][C]0.028889[/C][C]0.056667[/C][C]0.014444[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]78[/C][C]0.086667[/C][C]0.143333[/C][C]0.043333[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]3[/C][C]0.003333[/C][C]0.146667[/C][C]0.001667[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]28[/C][C]0.031111[/C][C]0.177778[/C][C]0.015556[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]197[/C][C]0.218889[/C][C]0.396667[/C][C]0.109444[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]99[/C][C]0.11[/C][C]0.506667[/C][C]0.055[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]300[/C][C]0.333333[/C][C]0.84[/C][C]0.166667[/C][/ROW]
[ROW][C][26,28[[/C][C]27[/C][C]2[/C][C]0.002222[/C][C]0.842222[/C][C]0.001111[/C][/ROW]
[ROW][C][28,30[[/C][C]29[/C][C]4[/C][C]0.004444[/C][C]0.846667[/C][C]0.002222[/C][/ROW]
[ROW][C][30,32[[/C][C]31[/C][C]80[/C][C]0.088889[/C][C]0.935556[/C][C]0.044444[/C][/ROW]
[ROW][C][32,34[[/C][C]33[/C][C]0[/C][C]0[/C][C]0.935556[/C][C]0[/C][/ROW]
[ROW][C][34,36[[/C][C]35[/C][C]20[/C][C]0.022222[/C][C]0.957778[/C][C]0.011111[/C][/ROW]
[ROW][C][36,38[[/C][C]37[/C][C]0[/C][C]0[/C][C]0.957778[/C][C]0[/C][/ROW]
[ROW][C][38,40[[/C][C]39[/C][C]1[/C][C]0.001111[/C][C]0.958889[/C][C]0.000556[/C][/ROW]
[ROW][C][40,42[[/C][C]41[/C][C]20[/C][C]0.022222[/C][C]0.981111[/C][C]0.011111[/C][/ROW]
[ROW][C][42,44[[/C][C]43[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][44,46[[/C][C]45[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][46,48[[/C][C]47[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][48,50[[/C][C]49[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][50,52[[/C][C]51[/C][C]16[/C][C]0.017778[/C][C]0.998889[/C][C]0.008889[/C][/ROW]
[ROW][C][52,54[[/C][C]53[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][54,56[[/C][C]55[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][56,58[[/C][C]57[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][58,60[[/C][C]59[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][60,62[[/C][C]61[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][62,64[[/C][C]63[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][64,66][/C][C]65[/C][C]1[/C][C]0.001111[/C][C]1[/C][C]0.000556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204502&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204502&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,6[530.0033330.0033330.001667
[6,8[710.0011110.0044440.000556
[8,10[940.0044440.0088890.002222
[10,12[11170.0188890.0277780.009444
[12,14[13260.0288890.0566670.014444
[14,16[15780.0866670.1433330.043333
[16,18[1730.0033330.1466670.001667
[18,20[19280.0311110.1777780.015556
[20,22[211970.2188890.3966670.109444
[22,24[23990.110.5066670.055
[24,26[253000.3333330.840.166667
[26,28[2720.0022220.8422220.001111
[28,30[2940.0044440.8466670.002222
[30,32[31800.0888890.9355560.044444
[32,34[33000.9355560
[34,36[35200.0222220.9577780.011111
[36,38[37000.9577780
[38,40[3910.0011110.9588890.000556
[40,42[41200.0222220.9811110.011111
[42,44[43000.9811110
[44,46[45000.9811110
[46,48[47000.9811110
[48,50[49000.9811110
[50,52[51160.0177780.9988890.008889
[52,54[53000.9988890
[54,56[55000.9988890
[56,58[57000.9988890
[58,60[59000.9988890
[60,62[61000.9988890
[62,64[63000.9988890
[64,66]6510.00111110.000556


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 27 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 27 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par3 == 'TRUE') par3 <- TRUE
if (par3 == 'FALSE') par3 <- FALSE
if (par4 == 'Unknown') par1 <- as.numeric(par1)
if (par4 == 'Interval/Ratio') par1 <- as.numeric(par1)
if (par4 == '3-point Likert') par1 <- c(1:3 - 0.5, 3.5)
if (par4 == '4-point Likert') par1 <- c(1:4 - 0.5, 4.5)
if (par4 == '5-point Likert') par1 <- c(1:5 - 0.5, 5.5)
if (par4 == '6-point Likert') par1 <- c(1:6 - 0.5, 6.5)
if (par4 == '7-point Likert') par1 <- c(1:7 - 0.5, 7.5)
if (par4 == '8-point Likert') par1 <- c(1:8 - 0.5, 8.5)
if (par4 == '9-point Likert') par1 <- c(1:9 - 0.5, 9.5)
if (par4 == '10-point Likert') par1 <- c(1:10 - 0.5, 10.5)
bitmap(file='test1.png')
if(is.numeric(x[1])) {
if (is.na(par1)) {
myhist<-hist(x,col=par2,main=main,xlab=xlab,right=par3)
} else {
if (par1 < 0) par1 <- 3
if (par1 > 50) par1 <- 50
myhist<-hist(x,breaks=par1,col=par2,main=main,xlab=xlab,right=par3)
}
} else {
plot(mytab <- table(x),col=par2,main='Frequency Plot',xlab=xlab,ylab='Absolute Frequency')
}
dev.off()
if(is.numeric(x[1])) {
myhist
n <- length(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('histogram.htm','Frequency Table (Histogram)',''),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bins',header=TRUE)
a<-table.element(a,'Midpoint',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.element(a,'Cumul. Rel. Freq.',header=TRUE)
a<-table.element(a,'Density',header=TRUE)
a<-table.row.end(a)
crf <- 0
if (par3 == FALSE) mybracket <- '[' else mybracket <- ']'
mynumrows <- (length(myhist$breaks)-1)
for (i in 1:mynumrows) {
a<-table.row.start(a)
if (i == 1)
dum <- paste('[',myhist$breaks[i],sep='')
else
dum <- paste(mybracket,myhist$breaks[i],sep='')
dum <- paste(dum,myhist$breaks[i+1],sep=',')
if (i==mynumrows)
dum <- paste(dum,']',sep='')
else
dum <- paste(dum,mybracket,sep='')
a<-table.element(a,dum,header=TRUE)
a<-table.element(a,myhist$mids[i])
a<-table.element(a,myhist$counts[i])
rf <- myhist$counts[i]/n
crf <- crf + rf
a<-table.element(a,round(rf,6))
a<-table.element(a,round(crf,6))
a<-table.element(a,round(myhist$density[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
} else {
mytab
reltab <- mytab / sum(mytab)
n <- length(mytab)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Frequency Table (Categorical Data)',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Category',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,labels(mytab)$x[i],header=TRUE)
a<-table.element(a,mytab[i])
a<-table.element(a,round(reltab[i],4))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}