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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, 09 Dec 2014 11:46:26 +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/09/t1418125609acwj6opio54ij29.htm/, Retrieved Thu, 16 May 2024 04:26:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264480, Retrieved Thu, 16 May 2024 04:26:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Maximum-likelihood Fitting - Normal Distribution] [Intrinsic Motivat...] [2010-10-12 11:57:21] [b98453cac15ba1066b407e146608df68]
- RMP   [Maximum-likelihood Fitting - Normal Distribution] [] [2014-10-14 18:01:50] [32b17a345b130fdf5cc88718ed94a974]
- RMPD      [Histogram] [paper9] [2014-12-09 11:46:26] [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
20
16
19
18
26
24
20
19
19
23
18
16
18
21
20
15
19
27
19
7
20
20
19
19
20
18
14
17
17
8
9
22
20
20
22
22
22
16
14
24
21
20
20
18
14
19
24
19
16
16
16
14
22
21
15
14
15
14
20
21
17
14
19
16
13
26
13
18
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
17
6
22
20
16
16
17
20
23
18
13
22
20
20
13
16
25
16
15
19
19
24
9
22
15
22
22
24
12
21
25
26
19
21
14
28
16
21
16
16
25
21
22
9
20
19
24
22
22
12
17
18
10
22
24
18
18
23
21
21
28
17
21
21
20
18
17
7
17
14
18
14
23
20
14
17
21
23
24
21
14
24
16
21
8
17
18
17
16
22
17
21
20
20
19
8
19
11
15
13
18
19
23
20
22
19
16
11
11
21
14
21
20
21
20
19
19
18
20
21
22
19
23
16
23
18
23
20
20
23
13
21
26
18
19
18
19
18
19
13
10
21
24
21
23
18
11
16
20
20
26
21
12
15
18
14
18
16
19
7
21
24
21
20
22
17
19
20
16
20
16
19
19
24
7
17
23
23
21
18
4
27
18
20
15
19
14
14
18
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
20
19
24
18
15
25
27
17
18
17
24
18
27
18
23
18
21
25
18
19
20
11
22
24
23
16
24
16
16
18
17
21
15
15
19
21
19
19
18
14
17
25
14
19
20
20
20
19
18
22
18
22
19
20
22
22
24
18
21
22
19
18
24
21
21
20
17
20
22
24
24
20
19
20
16
21
22
19
19
13
22
20
21
21
15
23
22
15
20
23
21
18
23
16
18
18
10
17
20
13
25
18
20
18
19
11
17
22
21
19
20
21
22
20
21
15
22
21
28
20
20
23
18
15
19
21
19
16
17
26
20
13
19
21
21
24
23
20
23
24
8
19
18
20
21
16
17
21
27
12
17
17
18
24
18
18
24
18
19
19
24
15
22
17
20
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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264480&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264480&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264480&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'Herman Ole Andreas Wold' @ wold.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,6[510.0020080.0020080.001004
[6,8[760.0120480.0140560.006024
[8,10[980.0160640.030120.008032
[10,12[11110.0220880.0522090.011044
[12,14[13180.0361450.0883530.018072
[14,16[15390.0783130.1666670.039157
[16,18[17670.1345380.3012050.067269
[18,20[191170.234940.5361450.11747
[20,22[211140.2289160.765060.114458
[22,24[23640.1285140.8935740.064257
[24,26[25380.0763050.969880.038153
[26,28]27150.0301210.01506

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,6[ & 5 & 1 & 0.002008 & 0.002008 & 0.001004 \tabularnewline
[6,8[ & 7 & 6 & 0.012048 & 0.014056 & 0.006024 \tabularnewline
[8,10[ & 9 & 8 & 0.016064 & 0.03012 & 0.008032 \tabularnewline
[10,12[ & 11 & 11 & 0.022088 & 0.052209 & 0.011044 \tabularnewline
[12,14[ & 13 & 18 & 0.036145 & 0.088353 & 0.018072 \tabularnewline
[14,16[ & 15 & 39 & 0.078313 & 0.166667 & 0.039157 \tabularnewline
[16,18[ & 17 & 67 & 0.134538 & 0.301205 & 0.067269 \tabularnewline
[18,20[ & 19 & 117 & 0.23494 & 0.536145 & 0.11747 \tabularnewline
[20,22[ & 21 & 114 & 0.228916 & 0.76506 & 0.114458 \tabularnewline
[22,24[ & 23 & 64 & 0.128514 & 0.893574 & 0.064257 \tabularnewline
[24,26[ & 25 & 38 & 0.076305 & 0.96988 & 0.038153 \tabularnewline
[26,28] & 27 & 15 & 0.03012 & 1 & 0.01506 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264480&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]0.002008[/C][C]0.002008[/C][C]0.001004[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]6[/C][C]0.012048[/C][C]0.014056[/C][C]0.006024[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]8[/C][C]0.016064[/C][C]0.03012[/C][C]0.008032[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]11[/C][C]0.022088[/C][C]0.052209[/C][C]0.011044[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]18[/C][C]0.036145[/C][C]0.088353[/C][C]0.018072[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]39[/C][C]0.078313[/C][C]0.166667[/C][C]0.039157[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]67[/C][C]0.134538[/C][C]0.301205[/C][C]0.067269[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]117[/C][C]0.23494[/C][C]0.536145[/C][C]0.11747[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]114[/C][C]0.228916[/C][C]0.76506[/C][C]0.114458[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]64[/C][C]0.128514[/C][C]0.893574[/C][C]0.064257[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]38[/C][C]0.076305[/C][C]0.96988[/C][C]0.038153[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]15[/C][C]0.03012[/C][C]1[/C][C]0.01506[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264480&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264480&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[510.0020080.0020080.001004
[6,8[760.0120480.0140560.006024
[8,10[980.0160640.030120.008032
[10,12[11110.0220880.0522090.011044
[12,14[13180.0361450.0883530.018072
[14,16[15390.0783130.1666670.039157
[16,18[17670.1345380.3012050.067269
[18,20[191170.234940.5361450.11747
[20,22[211140.2289160.765060.114458
[22,24[23640.1285140.8935740.064257
[24,26[25380.0763050.969880.038153
[26,28]27150.0301210.01506


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')
}