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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 12:32:58 +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/t1418560393l1k6clv2a8f0tm8.htm/, Retrieved Thu, 16 May 2024 17:49:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267509, Retrieved Thu, 16 May 2024 17:49:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [paper19] [2014-12-14 12:32:58] [0015a2406d94cac8c1a56a29b9122359] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8
18
18
12
24
16
19
16
15
28
21
18
22
19
22
25
16
19
26
24
20
19
19
23
18
21
20
15
19
27
19
7
20
20
19
20
18
14
17
17
8
22
20
22
14
21
20
18
24
19
16
16
16
22
21
15
15
14
17
14
19
16
26
18
17
6
22
20
17
20
23
18
13
22
20
20
13
16
16
15
19
19
24
9
22
15
22
22
24
21
25
26
19
21
14
28
16
21
16
16
25
21
22
9
24
22
10
22
21
20
17
7
14
23
18
17
20
19
19
23
20
19
16
11
21
20
20
19
19
20
22
19
23
16
18
23
20
23
13
26
19
13
10
21
24
21
23
16
26
16
19
19
24
7
17
23
23
21
18
4
27
18
15
14
14
17
20
16
16
11
21
10
18
18
21
16
15
17
15
12
20
20
18
21
22
21
25
12
22
24
17
20
19
25
27
17
17
24
18
27
23
21
25
18
22
24
23
24
16
16
18
17
21
15
19
18
14
20
19
22
22
20
22
21
19
24
17
22
24
20
20
19
13
22
20
21
21
15
20
23
18
23
18
10
17
13
20
18
19
21
19
22
21
20
23
18
15
19
16
17
26
23
8
19
20
21
16
17
17
18
19
19
24
22

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267509&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267509&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267509&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'Gertrude Mary Cox' @ cox.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,6[510.003650.003650.001825
[6,8[740.0145990.0182480.007299
[8,10[950.0182480.0364960.009124
[10,12[1160.0218980.0583940.010949
[12,14[1390.0328470.0912410.016423
[14,16[15210.0766420.1678830.038321
[16,18[17420.1532850.3211680.076642
[18,20[19570.2080290.5291970.104015
[20,22[21560.204380.7335770.10219
[22,24[23400.1459850.8795620.072993
[24,26[25210.0766420.9562040.038321
[26,28]27120.04379610.021898

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,6[ & 5 & 1 & 0.00365 & 0.00365 & 0.001825 \tabularnewline
[6,8[ & 7 & 4 & 0.014599 & 0.018248 & 0.007299 \tabularnewline
[8,10[ & 9 & 5 & 0.018248 & 0.036496 & 0.009124 \tabularnewline
[10,12[ & 11 & 6 & 0.021898 & 0.058394 & 0.010949 \tabularnewline
[12,14[ & 13 & 9 & 0.032847 & 0.091241 & 0.016423 \tabularnewline
[14,16[ & 15 & 21 & 0.076642 & 0.167883 & 0.038321 \tabularnewline
[16,18[ & 17 & 42 & 0.153285 & 0.321168 & 0.076642 \tabularnewline
[18,20[ & 19 & 57 & 0.208029 & 0.529197 & 0.104015 \tabularnewline
[20,22[ & 21 & 56 & 0.20438 & 0.733577 & 0.10219 \tabularnewline
[22,24[ & 23 & 40 & 0.145985 & 0.879562 & 0.072993 \tabularnewline
[24,26[ & 25 & 21 & 0.076642 & 0.956204 & 0.038321 \tabularnewline
[26,28] & 27 & 12 & 0.043796 & 1 & 0.021898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267509&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]0.00365[/C][C]0.00365[/C][C]0.001825[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]4[/C][C]0.014599[/C][C]0.018248[/C][C]0.007299[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]5[/C][C]0.018248[/C][C]0.036496[/C][C]0.009124[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]6[/C][C]0.021898[/C][C]0.058394[/C][C]0.010949[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]9[/C][C]0.032847[/C][C]0.091241[/C][C]0.016423[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]21[/C][C]0.076642[/C][C]0.167883[/C][C]0.038321[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]42[/C][C]0.153285[/C][C]0.321168[/C][C]0.076642[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]57[/C][C]0.208029[/C][C]0.529197[/C][C]0.104015[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]56[/C][C]0.20438[/C][C]0.733577[/C][C]0.10219[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]40[/C][C]0.145985[/C][C]0.879562[/C][C]0.072993[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]21[/C][C]0.076642[/C][C]0.956204[/C][C]0.038321[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]12[/C][C]0.043796[/C][C]1[/C][C]0.021898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267509&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267509&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[510.003650.003650.001825
[6,8[740.0145990.0182480.007299
[8,10[950.0182480.0364960.009124
[10,12[1160.0218980.0583940.010949
[12,14[1390.0328470.0912410.016423
[14,16[15210.0766420.1678830.038321
[16,18[17420.1532850.3211680.076642
[18,20[19570.2080290.5291970.104015
[20,22[21560.204380.7335770.10219
[22,24[23400.1459850.8795620.072993
[24,26[25210.0766420.9562040.038321
[26,28]27120.04379610.021898


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')
}