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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 12:40:03 +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/t1418560818ydmwi18ken0of5b.htm/, Retrieved Thu, 16 May 2024 16:08:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267517, Retrieved Thu, 16 May 2024 16:08:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [paper22] [2014-12-14 12:40:03] [0015a2406d94cac8c1a56a29b9122359] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
20
18
16
18
19
9
20
22
22
16
24
20
14
19
14
14
20
21
13
13
15
18
21
17
18
20
18
25
20
19
18
12
22
16
18
23
20
20
16
22
19
23
6
19
24
19
15
18
18
22
23
18
16
16
25
12
20
19
22
12
17
18
24
18
18
23
21
21
28
17
21
18
17
18
14
20
14
17
21
23
24
21
14
24
16
21
8
17
17
16
22
21
20
8
11
15
13
18
19
22
11
14
21
21
18
21
23
20
21
18
19
18
18
19
18
11
20
20
21
12
15
18
14
18
16
19
7
21
24
21
20
22
17
19
20
20
16
20
19
18
20
24
18
15
18
18
18
19
20
11
16
15
21
19
19
17
25
14
19
20
20
18
18
19
22
24
18
22
18
21
21
20
20
24
19
16
21
22
19
23
22
15
21
16
18
20
25
18
11
17
22
20
21
22
20
21
15
28
20
19
21
20
13
19
21
21
24
23
20
24
18
17
21
27
12
24
18
18
24
18
15
22
17
20
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=267517&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=267517&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267517&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
[6,8[720.0072990.0072990.004464
[8,10[930.0109490.0182480.006696
[10,12[1150.0182480.0364960.011161
[12,14[1390.0328470.0693430.020089
[14,16[15180.0656930.1350360.040179
[16,18[17250.0912410.2262770.055804
[18,20[19600.2189780.4452550.133929
[20,22[21580.2116790.6569340.129464
[22,24[23240.0875910.7445260.053571
[24,26[25170.0620440.8065690.037946
[26,28]2730.0109490.8175180.006696

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[6,8[ & 7 & 2 & 0.007299 & 0.007299 & 0.004464 \tabularnewline
[8,10[ & 9 & 3 & 0.010949 & 0.018248 & 0.006696 \tabularnewline
[10,12[ & 11 & 5 & 0.018248 & 0.036496 & 0.011161 \tabularnewline
[12,14[ & 13 & 9 & 0.032847 & 0.069343 & 0.020089 \tabularnewline
[14,16[ & 15 & 18 & 0.065693 & 0.135036 & 0.040179 \tabularnewline
[16,18[ & 17 & 25 & 0.091241 & 0.226277 & 0.055804 \tabularnewline
[18,20[ & 19 & 60 & 0.218978 & 0.445255 & 0.133929 \tabularnewline
[20,22[ & 21 & 58 & 0.211679 & 0.656934 & 0.129464 \tabularnewline
[22,24[ & 23 & 24 & 0.087591 & 0.744526 & 0.053571 \tabularnewline
[24,26[ & 25 & 17 & 0.062044 & 0.806569 & 0.037946 \tabularnewline
[26,28] & 27 & 3 & 0.010949 & 0.817518 & 0.006696 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267517&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][6,8[[/C][C]7[/C][C]2[/C][C]0.007299[/C][C]0.007299[/C][C]0.004464[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]3[/C][C]0.010949[/C][C]0.018248[/C][C]0.006696[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]5[/C][C]0.018248[/C][C]0.036496[/C][C]0.011161[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]9[/C][C]0.032847[/C][C]0.069343[/C][C]0.020089[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]18[/C][C]0.065693[/C][C]0.135036[/C][C]0.040179[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]25[/C][C]0.091241[/C][C]0.226277[/C][C]0.055804[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]60[/C][C]0.218978[/C][C]0.445255[/C][C]0.133929[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]58[/C][C]0.211679[/C][C]0.656934[/C][C]0.129464[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]24[/C][C]0.087591[/C][C]0.744526[/C][C]0.053571[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]17[/C][C]0.062044[/C][C]0.806569[/C][C]0.037946[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]3[/C][C]0.010949[/C][C]0.817518[/C][C]0.006696[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267517&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267517&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
[6,8[720.0072990.0072990.004464
[8,10[930.0109490.0182480.006696
[10,12[1150.0182480.0364960.011161
[12,14[1390.0328470.0693430.020089
[14,16[15180.0656930.1350360.040179
[16,18[17250.0912410.2262770.055804
[18,20[19600.2189780.4452550.133929
[20,22[21580.2116790.6569340.129464
[22,24[23240.0875910.7445260.053571
[24,26[25170.0620440.8065690.037946
[26,28]2730.0109490.8175180.006696


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')
}