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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 computationSun, 14 Dec 2014 12:40:54 +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/14/t1418560868f9ef6rviejh4tyw.htm/, Retrieved Sun, 19 May 2024 14:10:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267518, Retrieved Sun, 19 May 2024 14:10:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [paper23] [2014-12-14 12:40:54] [0015a2406d94cac8c1a56a29b9122359] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
20
16
20
13
17
7
18
9
16
14
20
8
11
10
10
7
16
22
8
8
14
15
9
21
7
17
18
16
16
14
15
8
22
5
13
22
18
15
11
19
19
21
4
17
10
13
15
11
20
13
18
20
12
17
21
10
22
19
19
9
11
17
10
17
13
11
19
21
24
13
16
15
13
12
8
17
9
18
17
17
18
12
14
22
19
21
10
16
15
12
21
20
9
14
9
18
12
11
14
11
11
13
12
23
11
19
19
13
23
13
17
13
8
16
14
7
17
19
12
12
18
16
15
20
16
12
10
28
19
18
19
8
17
16
18
17
13
10
21
17
20
19
17
18
13
11
9
8
15
10
12
10
17
16
13
16
18
16
15
20
19
11
13
14
16
16
9
11
16
15
13
12
16
23
19
9
16
19
8
20
19
10
15
13
18
10
20
10
12
16
19
9
15
14
17
14
11
25
15
24
16
13
14
12
14
16
19
17
20
19
14
14
16
22
7
22
13
11
19
14
15
19
22
18
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA
NA

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267518&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267518&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267518&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,6[520.0072990.0072990.004464
[6,8[750.0182480.0255470.011161
[8,10[9190.0693430.0948910.042411
[10,12[11270.098540.1934310.060268
[12,14[13320.1167880.3102190.071429
[14,16[15290.1058390.4160580.064732
[16,18[17410.1496350.5656930.091518
[18,20[19350.1277370.6934310.078125
[20,22[21190.0693430.7627740.042411
[22,24[23110.0401460.802920.024554
[24,26[2530.0109490.8138690.006696
[26,28]2710.003650.8175180.002232

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,6[ & 5 & 2 & 0.007299 & 0.007299 & 0.004464 \tabularnewline
[6,8[ & 7 & 5 & 0.018248 & 0.025547 & 0.011161 \tabularnewline
[8,10[ & 9 & 19 & 0.069343 & 0.094891 & 0.042411 \tabularnewline
[10,12[ & 11 & 27 & 0.09854 & 0.193431 & 0.060268 \tabularnewline
[12,14[ & 13 & 32 & 0.116788 & 0.310219 & 0.071429 \tabularnewline
[14,16[ & 15 & 29 & 0.105839 & 0.416058 & 0.064732 \tabularnewline
[16,18[ & 17 & 41 & 0.149635 & 0.565693 & 0.091518 \tabularnewline
[18,20[ & 19 & 35 & 0.127737 & 0.693431 & 0.078125 \tabularnewline
[20,22[ & 21 & 19 & 0.069343 & 0.762774 & 0.042411 \tabularnewline
[22,24[ & 23 & 11 & 0.040146 & 0.80292 & 0.024554 \tabularnewline
[24,26[ & 25 & 3 & 0.010949 & 0.813869 & 0.006696 \tabularnewline
[26,28] & 27 & 1 & 0.00365 & 0.817518 & 0.002232 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267518&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]2[/C][C]0.007299[/C][C]0.007299[/C][C]0.004464[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]5[/C][C]0.018248[/C][C]0.025547[/C][C]0.011161[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]19[/C][C]0.069343[/C][C]0.094891[/C][C]0.042411[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]27[/C][C]0.09854[/C][C]0.193431[/C][C]0.060268[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]32[/C][C]0.116788[/C][C]0.310219[/C][C]0.071429[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]29[/C][C]0.105839[/C][C]0.416058[/C][C]0.064732[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]41[/C][C]0.149635[/C][C]0.565693[/C][C]0.091518[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]35[/C][C]0.127737[/C][C]0.693431[/C][C]0.078125[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]19[/C][C]0.069343[/C][C]0.762774[/C][C]0.042411[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]11[/C][C]0.040146[/C][C]0.80292[/C][C]0.024554[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]3[/C][C]0.010949[/C][C]0.813869[/C][C]0.006696[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]1[/C][C]0.00365[/C][C]0.817518[/C][C]0.002232[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267518&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267518&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[520.0072990.0072990.004464
[6,8[750.0182480.0255470.011161
[8,10[9190.0693430.0948910.042411
[10,12[11270.098540.1934310.060268
[12,14[13320.1167880.3102190.071429
[14,16[15290.1058390.4160580.064732
[16,18[17410.1496350.5656930.091518
[18,20[19350.1277370.6934310.078125
[20,22[21190.0693430.7627740.042411
[22,24[23110.0401460.802920.024554
[24,26[2530.0109490.8138690.006696
[26,28]2710.003650.8175180.002232


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')
}