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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 computationTue, 13 Dec 2016 10:25:03 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/13/t1481621135pdc3hyh93fr56jt.htm/, Retrieved Sun, 05 May 2024 05:18:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299022, Retrieved Sun, 05 May 2024 05:18:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [Histogram EPSUM] [2016-12-13 09:25:03] [153c3207812fd13fe5ceee3276565119] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15
13
14
13
12
17
12
13
13
16
12
12
13
16
15
12
13
20
15
12
15
11
13
13
14
14
14
15
16
16
16
13
13
14
13
14
12
17
14
15
13
14
15
19
14
13
12
14
15
15
12
14
11
12
10
13
14
14
15
15
13
15
16
12
17
15
18
12
16
15
15
12
13
10
14
11
12
14
12
14
12
13
13
14
12
15
13
13
11
12
16
11
13
12
17
14
15
8
13
13
15
14
13
14
12
19
15
14
14
15
13
15
14
11
17
13
9
12
13
17
14
13
16
14
14
14
10
12
13
14
18
14
14
13
13
16
13
14
8
13
13
16
14
13
14
12
16
18
16
15
18
15
14
14
15
9
17
11
15
15
15
13
14
15
15
14
13

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299022&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299022&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299022&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[8,9[8.520.0119760.0119760.011976
[9,10[9.520.0119760.0239520.011976
[10,11[10.530.0179640.0419160.017964
[11,12[11.570.0419160.0838320.041916
[12,13[12.5230.1377250.2215570.137725
[13,14[13.5370.2215570.4431140.221557
[14,15[14.5370.2215570.6646710.221557
[15,16[15.5290.1736530.8383230.173653
[16,17[16.5130.0778440.9161680.077844
[17,18[17.570.0419160.9580840.041916
[18,19[18.540.0239520.9820360.023952
[19,20]19.530.01796410.017964

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[8,9[ & 8.5 & 2 & 0.011976 & 0.011976 & 0.011976 \tabularnewline
[9,10[ & 9.5 & 2 & 0.011976 & 0.023952 & 0.011976 \tabularnewline
[10,11[ & 10.5 & 3 & 0.017964 & 0.041916 & 0.017964 \tabularnewline
[11,12[ & 11.5 & 7 & 0.041916 & 0.083832 & 0.041916 \tabularnewline
[12,13[ & 12.5 & 23 & 0.137725 & 0.221557 & 0.137725 \tabularnewline
[13,14[ & 13.5 & 37 & 0.221557 & 0.443114 & 0.221557 \tabularnewline
[14,15[ & 14.5 & 37 & 0.221557 & 0.664671 & 0.221557 \tabularnewline
[15,16[ & 15.5 & 29 & 0.173653 & 0.838323 & 0.173653 \tabularnewline
[16,17[ & 16.5 & 13 & 0.077844 & 0.916168 & 0.077844 \tabularnewline
[17,18[ & 17.5 & 7 & 0.041916 & 0.958084 & 0.041916 \tabularnewline
[18,19[ & 18.5 & 4 & 0.023952 & 0.982036 & 0.023952 \tabularnewline
[19,20] & 19.5 & 3 & 0.017964 & 1 & 0.017964 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299022&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][8,9[[/C][C]8.5[/C][C]2[/C][C]0.011976[/C][C]0.011976[/C][C]0.011976[/C][/ROW]
[ROW][C][9,10[[/C][C]9.5[/C][C]2[/C][C]0.011976[/C][C]0.023952[/C][C]0.011976[/C][/ROW]
[ROW][C][10,11[[/C][C]10.5[/C][C]3[/C][C]0.017964[/C][C]0.041916[/C][C]0.017964[/C][/ROW]
[ROW][C][11,12[[/C][C]11.5[/C][C]7[/C][C]0.041916[/C][C]0.083832[/C][C]0.041916[/C][/ROW]
[ROW][C][12,13[[/C][C]12.5[/C][C]23[/C][C]0.137725[/C][C]0.221557[/C][C]0.137725[/C][/ROW]
[ROW][C][13,14[[/C][C]13.5[/C][C]37[/C][C]0.221557[/C][C]0.443114[/C][C]0.221557[/C][/ROW]
[ROW][C][14,15[[/C][C]14.5[/C][C]37[/C][C]0.221557[/C][C]0.664671[/C][C]0.221557[/C][/ROW]
[ROW][C][15,16[[/C][C]15.5[/C][C]29[/C][C]0.173653[/C][C]0.838323[/C][C]0.173653[/C][/ROW]
[ROW][C][16,17[[/C][C]16.5[/C][C]13[/C][C]0.077844[/C][C]0.916168[/C][C]0.077844[/C][/ROW]
[ROW][C][17,18[[/C][C]17.5[/C][C]7[/C][C]0.041916[/C][C]0.958084[/C][C]0.041916[/C][/ROW]
[ROW][C][18,19[[/C][C]18.5[/C][C]4[/C][C]0.023952[/C][C]0.982036[/C][C]0.023952[/C][/ROW]
[ROW][C][19,20][/C][C]19.5[/C][C]3[/C][C]0.017964[/C][C]1[/C][C]0.017964[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299022&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299022&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
[8,9[8.520.0119760.0119760.011976
[9,10[9.520.0119760.0239520.011976
[10,11[10.530.0179640.0419160.017964
[11,12[11.570.0419160.0838320.041916
[12,13[12.5230.1377250.2215570.137725
[13,14[13.5370.2215570.4431140.221557
[14,15[14.5370.2215570.6646710.221557
[15,16[15.5290.1736530.8383230.173653
[16,17[16.5130.0778440.9161680.077844
[17,18[17.570.0419160.9580840.041916
[18,19[18.540.0239520.9820360.023952
[19,20]19.530.01796410.017964


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 {
barplot(mytab <- sort(table(x),T),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,'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')
}