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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 10:59:36 +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/t1418554792v6btxnivfn5p05u.htm/, Retrieved Thu, 16 May 2024 05:59:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267432, Retrieved Thu, 16 May 2024 05:59:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

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] [9c0bd235307a1b4a36b3290850d9d0d3] [Current]
-    D    [Histogram] [paper] [2014-12-15 11:48:09] [074b0dbc8d3b700fa15927150828e345]
-    D    [Histogram] [paper] [2014-12-15 11:49:06] [074b0dbc8d3b700fa15927150828e345]
-    D    [Histogram] [paper] [2014-12-15 11:49:54] [074b0dbc8d3b700fa15927150828e345]
Feedback Forum

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Dataset

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

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 Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267432&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267432&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267432&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 Ronald Aylmer Fisher' @ fisher.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[920.0069690.0139370.003484
[10,12[1150.0174220.0313590.008711
[12,14[1340.0139370.0452960.006969
[14,16[15180.0627180.1080140.031359
[16,18[17330.1149830.2229970.057491
[18,20[19430.1498260.3728220.074913
[20,22[21720.2508710.6236930.125436
[22,24[23670.2334490.8571430.116725
[24,26[25270.0940770.951220.047038
[26,28]27140.0487810.02439

\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 & 2 & 0.006969 & 0.013937 & 0.003484 \tabularnewline
[10,12[ & 11 & 5 & 0.017422 & 0.031359 & 0.008711 \tabularnewline
[12,14[ & 13 & 4 & 0.013937 & 0.045296 & 0.006969 \tabularnewline
[14,16[ & 15 & 18 & 0.062718 & 0.108014 & 0.031359 \tabularnewline
[16,18[ & 17 & 33 & 0.114983 & 0.222997 & 0.057491 \tabularnewline
[18,20[ & 19 & 43 & 0.149826 & 0.372822 & 0.074913 \tabularnewline
[20,22[ & 21 & 72 & 0.250871 & 0.623693 & 0.125436 \tabularnewline
[22,24[ & 23 & 67 & 0.233449 & 0.857143 & 0.116725 \tabularnewline
[24,26[ & 25 & 27 & 0.094077 & 0.95122 & 0.047038 \tabularnewline
[26,28] & 27 & 14 & 0.04878 & 1 & 0.02439 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267432&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]2[/C][C]0.006969[/C][C]0.013937[/C][C]0.003484[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]5[/C][C]0.017422[/C][C]0.031359[/C][C]0.008711[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]4[/C][C]0.013937[/C][C]0.045296[/C][C]0.006969[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]18[/C][C]0.062718[/C][C]0.108014[/C][C]0.031359[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]33[/C][C]0.114983[/C][C]0.222997[/C][C]0.057491[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]43[/C][C]0.149826[/C][C]0.372822[/C][C]0.074913[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]72[/C][C]0.250871[/C][C]0.623693[/C][C]0.125436[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]67[/C][C]0.233449[/C][C]0.857143[/C][C]0.116725[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]27[/C][C]0.094077[/C][C]0.95122[/C][C]0.047038[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]14[/C][C]0.04878[/C][C]1[/C][C]0.02439[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267432&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267432&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[920.0069690.0139370.003484
[10,12[1150.0174220.0313590.008711
[12,14[1340.0139370.0452960.006969
[14,16[15180.0627180.1080140.031359
[16,18[17330.1149830.2229970.057491
[18,20[19430.1498260.3728220.074913
[20,22[21720.2508710.6236930.125436
[22,24[23670.2334490.8571430.116725
[24,26[25270.0940770.951220.047038
[26,28]27140.0487810.02439


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')
}