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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, 15 Dec 2014 11:48:09 +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/2014/Dec/15/t1418644099cb2r6e0r7s3an1g.htm/, Retrieved Thu, 16 May 2024 14:35:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268161, Retrieved Thu, 16 May 2024 14:35:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [paper] [2014-12-14 10:59:36] [f13ab2b9cdb9c17a0cf473fdf5cac3ab]
-    D    [Histogram] [paper] [2014-12-15 11:48:09] [f37066d0c2d3549c99d3204e671bd762] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12
20
20
14
25
15
20
21
15
28
11
22
22
27
24
23
24
21
20
19
25
16
24
21
22
25
23
20
21
22
25
23
19
27
21
19
25
16
24
24
18
28
15
17
18
26
18
22
19
17
26
21
26
21
12
20
20
24
24
22
21
20
23
19
24
21
16
17
23
20
19
18
18
21
20
17
20
25
15
17
17
24
21
22
18
22
20
21
21
20
18
25
23
21
20
21
20
22
15
24
22
21
17
23
22
23
16
18
25
18
14
20
19
18
22
21
14
5
25
21
11
20
9
15
23
21
9
24
16
20
15
18
22
21
21
21
20
24
15
24
18
24
24
15
19
20
26
26
18
23
13
16
19
22
21
11
23
18
19
15
8
15
21
25
14
21
18
18
12
24
17
20
24
22
15
22
26
17
23
19
21
23
19
18
16
23
13
18
23
21
23
16
17
20
18
20
19
26
9
23
9
13
27
22
12
18
6
17
22
22
23
19
20
17
18
24
20
18
23
27
25
24
12
16
16
24
23
24
24
26
19
28
23
21
19
23
23
20
18
20
28
21
25
18
24
28
9
22
26
28
18
23
22
15
24
12
12
20
25
24
23
18
20
22
20
25
28
25
14
16
24
13
19
18
16
8
27
23
20
20
26
23
24
21
15
22
25

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268161&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]0 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=268161&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268161&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 time0 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,6[510.0034840.0034840.001742
[6,8[710.0034840.0069690.001742
[8,10[970.024390.0313590.012195
[10,12[1130.0104530.0418120.005226
[12,14[13110.0383280.0801390.019164
[14,16[15190.0662020.1463410.033101
[16,18[17240.0836240.2299650.041812
[18,20[19440.153310.3832750.076655
[20,22[21620.2160280.5993030.108014
[22,24[23500.1742160.7735190.087108
[24,26[25430.1498260.9233450.074913
[26,28]27220.07665510.038328

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,6[ & 5 & 1 & 0.003484 & 0.003484 & 0.001742 \tabularnewline
[6,8[ & 7 & 1 & 0.003484 & 0.006969 & 0.001742 \tabularnewline
[8,10[ & 9 & 7 & 0.02439 & 0.031359 & 0.012195 \tabularnewline
[10,12[ & 11 & 3 & 0.010453 & 0.041812 & 0.005226 \tabularnewline
[12,14[ & 13 & 11 & 0.038328 & 0.080139 & 0.019164 \tabularnewline
[14,16[ & 15 & 19 & 0.066202 & 0.146341 & 0.033101 \tabularnewline
[16,18[ & 17 & 24 & 0.083624 & 0.229965 & 0.041812 \tabularnewline
[18,20[ & 19 & 44 & 0.15331 & 0.383275 & 0.076655 \tabularnewline
[20,22[ & 21 & 62 & 0.216028 & 0.599303 & 0.108014 \tabularnewline
[22,24[ & 23 & 50 & 0.174216 & 0.773519 & 0.087108 \tabularnewline
[24,26[ & 25 & 43 & 0.149826 & 0.923345 & 0.074913 \tabularnewline
[26,28] & 27 & 22 & 0.076655 & 1 & 0.038328 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268161&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]1[/C][C]0.003484[/C][C]0.003484[/C][C]0.001742[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]1[/C][C]0.003484[/C][C]0.006969[/C][C]0.001742[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]7[/C][C]0.02439[/C][C]0.031359[/C][C]0.012195[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]3[/C][C]0.010453[/C][C]0.041812[/C][C]0.005226[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]11[/C][C]0.038328[/C][C]0.080139[/C][C]0.019164[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]19[/C][C]0.066202[/C][C]0.146341[/C][C]0.033101[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]24[/C][C]0.083624[/C][C]0.229965[/C][C]0.041812[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]44[/C][C]0.15331[/C][C]0.383275[/C][C]0.076655[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]62[/C][C]0.216028[/C][C]0.599303[/C][C]0.108014[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]50[/C][C]0.174216[/C][C]0.773519[/C][C]0.087108[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]43[/C][C]0.149826[/C][C]0.923345[/C][C]0.074913[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]22[/C][C]0.076655[/C][C]1[/C][C]0.038328[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268161&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268161&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[510.0034840.0034840.001742
[6,8[710.0034840.0069690.001742
[8,10[970.024390.0313590.012195
[10,12[1130.0104530.0418120.005226
[12,14[13110.0383280.0801390.019164
[14,16[15190.0662020.1463410.033101
[16,18[17240.0836240.2299650.041812
[18,20[19440.153310.3832750.076655
[20,22[21620.2160280.5993030.108014
[22,24[23500.1742160.7735190.087108
[24,26[25430.1498260.9233450.074913
[26,28]27220.07665510.038328


Figures (Output of Computation)

Input Parameters & R Code

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