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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationMon, 06 Dec 2010 18:07:52 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/06/t1291658764mvuq7jp1cki9vxj.htm/, Retrieved Sun, 28 Apr 2024 22:09:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105756, Retrieved Sun, 28 Apr 2024 22:09:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [histogram mini-tu...] [2010-11-26 06:57:40] [30b3e197115d238a51c18bcedc33a6a5]
-   PD    [Histogram] [paper- lineaire r...] [2010-12-06 18:07:52] [9e558c3b35e49a9a9a626d1906801b69] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2
0
0
3
2
4
6
3
5
7
4
1
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2
8
0
2
5
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2
2
2
1
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6
4
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0
4
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3
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1
1
1
3
3
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3
7
4
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2
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3
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0
0
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2
2
0
4
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3
6
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0
7
3
6
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3
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2
3
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1
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0
5
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3
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3
0
0
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3
3
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2
2
1
6
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2
6
4
0
3
3
4
3
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4
2
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0
7
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1
3
5
2
4
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2
2
4
4
0
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3
4
2
0
2
5
5
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1
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5
4
3
3
3
0
3
3
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4
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3
5
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0
4
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0
3
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3
0
4
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1
5
2
2
3
5
1
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1
0
1
1
2
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5
3
2
0
6
4
3
3
3
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2
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1
6
3
0
2
6
2
0
4
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2
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1
1
3
5
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3
0
2
0
4
3
4
0
3
4
3
3
5
5
3
1
1
2
6
4
0
2
0
3
3
3
4
3
5
3
5
2
5
5
2
0
1
2
2
0
4
4
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0
3
6
5
4
5
0
6
6
6
6
4
1
5
3
4
0
4
1
3
0
3
4
6
4
3
6
6
6
5
2
5
3
5
4
5
2
5
2
5
2
0
3
0
6
3
3
2
3
1
2
3
3
5
1
2
3
2
5
3
1
2
0
0
1
3
3
1
2
2
4
2
2
1
6
4
2
2
3
2
4
4
0
2
2
3
0
1
4
5
5
3
2
2
4
2
2
2
2
2
0
3
3
2
3
0
2
0
0
1
4
2
3
1
2
2
2
1
1
3
5
0
4
3
2
3
2
2
1
4
2
1
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0
3
3
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3
3
1
2
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2
2
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3
3
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4
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1
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3
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4
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1
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2
4
2
2
3
2
3
2
2
0
3
4
5
0
3
2
3
0
0
0
2
2
1
0
3
3
2
6
5
4
5
0
0
3
2
0
3
4
3
3
4
1
4
1
3
4
7
2
5
3
1
6
3
1
0
0
3
2
1
2
2
2
3
2
0
2
2
2
0
5
1
0
4
2
1
4
3
3
3
2
0
0
3
3
3
3
2
2
0
0
2
5
1
2
2
2
2
2
1
2
3
5
3
3
4
2
4
2
1
1
5
2
2
2
2
2
4
3
3
2
3
0
1
4
3
2
2
0
0
2
0
0
3
3
6
0
3
0
2
2
4
1
1
3
1
2
2
1
3
2
4
0
1
2
2
2
2
2
3
1
3
1
0
0
0
1
3
0
1
3
2
2
3
2
2
2
1
2
3
0
0
0
1
0
4
2
3
4
2
2
1
3
2
1
2
3
3
0
0
0
2
1
4
2
2
1
4
2
2
1
2
2
0
2
3
2
1
2
0
0
0
0
0
4
3
2
2
2
2
2
2
3
1
2
1
1
2
3
1
3
1
1
2
2
2
0
0
2
2
1
3
2
2
2
3
2
2
1
2
1
2
3
2
3
3
2
3
7
4
3
2
1
3
0
0
3
5
1
1
4
1
2
4
2
1
3
2
0
3
2
2
2
2
2
2
1
0
0
3
3
3
1
0
0
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3
2
0
0
2
3
1
1
4
4
0
3
1
3
2
2
3
6
2
2
2
1
1
4
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3
1
1
4
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4
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1
0
0
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1
4
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2
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2
1
0
0
3
4
3
3
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1
1
1
1
4
4
5
3
0
2
3
2
1
2
1
0
0
2
2
2
2
4
2
2
4
0
2
0
1
0
2
0
1
2
2
2
2
2
0
0
2
4
2
2
0
0
4
0
3
0
2
2
0
2
2
0
2
4
1
0
0
3
2
2
3
3
2
0
0
4
3
1
2
0
0
0
0
2
3
2
2
2
3
1
2
3
2
3
2
0
3
0
1
0
0
0
0
3
4
0
0
0
0
0
0
2
2
0
2
2
0
1
3
0
2
0
3
0
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0
2
0
2
2
2
2
2
0
0
0
0
0
3
3
0
0
3
3
2
2
4
3
3
2
0
2
0
3
2
0
2
2
5
2
3
0
0
0
2
2
0
0
0
2
0
3
0
0
3
3
0
0
0
0
0
0
0
0
0
0
1
3
0
2
1
0
0
0
5
0
2
0
2
2
2
0
0
2
0
2
0
0
0
0
3
0
0
0
0
0
0
0
0
2
0
0
0
0
1
2
1
0
2
1
3
0
0
0
0
1
1
2
2
1
2
2
4
3
2
2
2
6
0
0
0
0
0
0
2
0
0
0
2
0
0
0
2
4
0
3
2
3
2
2
2
2
1
3
0
0
0
0
0
2
0
0
0
1
1
4
2
1
0
3
0
0
2
0
0
0
2
2
2
2
0
0
0
0
2
2
1
0
2
1
3
0
1
2
0
0
0
0
3
2
1
0
0
0
0
3
2
3
0
0
0
5
4
0
0
0
1
4
0
5
1
0
0
0
2
0
0
0
3
0
1
0
0
0
0
0
0
0
0
0
2
2
3
0
0
0
0
2
0
2
2
2
0
0
0
2
0
0
0
0
2
0
4
2
1
0
1
0
0
4
4
0
0
0
0
0
1
3
0
3
0
3
2
2
6
1
2
3
2
0
2
1
4
2
7
1
2
2
3
0
0
0
0
1
0
0
0
3
0
0
3
4
0
2
0
0
0
2
3
1
6
0
1
4
1
3
3
0
3
2
2
4
1
3
1
3
2
2
1
2
2
0
0
0
3
3
5
1
2
4
0
0
0
2
2
2
0
3
2
1
4
0
0
1
0
2
2
2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105756&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105756&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105756&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,0.5[0.253450.263560.263560.52712
[0.5,1[0.75000.263560
[1,1.5[1.251430.1092440.3728040.218487
[1.5,2[1.75000.3728040
[2,2.5[2.253440.2627960.63560.525592
[2.5,3[2.75000.63560
[3,3.5[3.252320.1772350.8128340.354469
[3.5,4[3.75000.8128340
[4,4.5[4.251350.1031320.9159660.206264
[4.5,5[4.75000.9159660
[5,5.5[5.25700.0534760.9694420.106952
[5.5,6[5.75000.9694420
[6,6.5[6.25320.0244460.9938880.048892
[6.5,7[6.75000.9938880
[7,7.5[7.2570.0053480.9992360.010695
[7.5,8]7.7510.00076410.001528

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,0.5[ & 0.25 & 345 & 0.26356 & 0.26356 & 0.52712 \tabularnewline
[0.5,1[ & 0.75 & 0 & 0 & 0.26356 & 0 \tabularnewline
[1,1.5[ & 1.25 & 143 & 0.109244 & 0.372804 & 0.218487 \tabularnewline
[1.5,2[ & 1.75 & 0 & 0 & 0.372804 & 0 \tabularnewline
[2,2.5[ & 2.25 & 344 & 0.262796 & 0.6356 & 0.525592 \tabularnewline
[2.5,3[ & 2.75 & 0 & 0 & 0.6356 & 0 \tabularnewline
[3,3.5[ & 3.25 & 232 & 0.177235 & 0.812834 & 0.354469 \tabularnewline
[3.5,4[ & 3.75 & 0 & 0 & 0.812834 & 0 \tabularnewline
[4,4.5[ & 4.25 & 135 & 0.103132 & 0.915966 & 0.206264 \tabularnewline
[4.5,5[ & 4.75 & 0 & 0 & 0.915966 & 0 \tabularnewline
[5,5.5[ & 5.25 & 70 & 0.053476 & 0.969442 & 0.106952 \tabularnewline
[5.5,6[ & 5.75 & 0 & 0 & 0.969442 & 0 \tabularnewline
[6,6.5[ & 6.25 & 32 & 0.024446 & 0.993888 & 0.048892 \tabularnewline
[6.5,7[ & 6.75 & 0 & 0 & 0.993888 & 0 \tabularnewline
[7,7.5[ & 7.25 & 7 & 0.005348 & 0.999236 & 0.010695 \tabularnewline
[7.5,8] & 7.75 & 1 & 0.000764 & 1 & 0.001528 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105756&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][0,0.5[[/C][C]0.25[/C][C]345[/C][C]0.26356[/C][C]0.26356[/C][C]0.52712[/C][/ROW]
[ROW][C][0.5,1[[/C][C]0.75[/C][C]0[/C][C]0[/C][C]0.26356[/C][C]0[/C][/ROW]
[ROW][C][1,1.5[[/C][C]1.25[/C][C]143[/C][C]0.109244[/C][C]0.372804[/C][C]0.218487[/C][/ROW]
[ROW][C][1.5,2[[/C][C]1.75[/C][C]0[/C][C]0[/C][C]0.372804[/C][C]0[/C][/ROW]
[ROW][C][2,2.5[[/C][C]2.25[/C][C]344[/C][C]0.262796[/C][C]0.6356[/C][C]0.525592[/C][/ROW]
[ROW][C][2.5,3[[/C][C]2.75[/C][C]0[/C][C]0[/C][C]0.6356[/C][C]0[/C][/ROW]
[ROW][C][3,3.5[[/C][C]3.25[/C][C]232[/C][C]0.177235[/C][C]0.812834[/C][C]0.354469[/C][/ROW]
[ROW][C][3.5,4[[/C][C]3.75[/C][C]0[/C][C]0[/C][C]0.812834[/C][C]0[/C][/ROW]
[ROW][C][4,4.5[[/C][C]4.25[/C][C]135[/C][C]0.103132[/C][C]0.915966[/C][C]0.206264[/C][/ROW]
[ROW][C][4.5,5[[/C][C]4.75[/C][C]0[/C][C]0[/C][C]0.915966[/C][C]0[/C][/ROW]
[ROW][C][5,5.5[[/C][C]5.25[/C][C]70[/C][C]0.053476[/C][C]0.969442[/C][C]0.106952[/C][/ROW]
[ROW][C][5.5,6[[/C][C]5.75[/C][C]0[/C][C]0[/C][C]0.969442[/C][C]0[/C][/ROW]
[ROW][C][6,6.5[[/C][C]6.25[/C][C]32[/C][C]0.024446[/C][C]0.993888[/C][C]0.048892[/C][/ROW]
[ROW][C][6.5,7[[/C][C]6.75[/C][C]0[/C][C]0[/C][C]0.993888[/C][C]0[/C][/ROW]
[ROW][C][7,7.5[[/C][C]7.25[/C][C]7[/C][C]0.005348[/C][C]0.999236[/C][C]0.010695[/C][/ROW]
[ROW][C][7.5,8][/C][C]7.75[/C][C]1[/C][C]0.000764[/C][C]1[/C][C]0.001528[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105756&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105756&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
[0,0.5[0.253450.263560.263560.52712
[0.5,1[0.75000.263560
[1,1.5[1.251430.1092440.3728040.218487
[1.5,2[1.75000.3728040
[2,2.5[2.253440.2627960.63560.525592
[2.5,3[2.75000.63560
[3,3.5[3.252320.1772350.8128340.354469
[3.5,4[3.75000.8128340
[4,4.5[4.251350.1031320.9159660.206264
[4.5,5[4.75000.9159660
[5,5.5[5.25700.0534760.9694420.106952
[5.5,6[5.75000.9694420
[6,6.5[6.25320.0244460.9938880.048892
[6.5,7[6.75000.9938880
[7,7.5[7.2570.0053480.9992360.010695
[7.5,8]7.7510.00076410.001528


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = blue ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = ; par2 = blue ; 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')
}