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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 computationSat, 10 Dec 2016 21:19:56 +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/10/t148140121930snvayud22tscg.htm/, Retrieved Sun, 05 May 2024 20:53:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298743, Retrieved Sun, 05 May 2024 20:53:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [Histogram ITH] [2016-12-10 20:19:56] [34b674d558c9d5fa20516c65c4cfbe6a] [Current]
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Dataset

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

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298743&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]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298743&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298743&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 time0 seconds
R ServerBig Analytics Cloud Computing Center






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[11,12]11.520.0204080.0204080.020408
]12,13]12.530.0306120.051020.030612
]13,14]13.580.0816330.1326530.081633
]14,15]14.5110.1122450.2448980.112245
]15,16]15.5170.1734690.4183670.173469
]16,17]16.5170.1734690.5918370.173469
]17,18]17.5160.1632650.7551020.163265
]18,19]18.5120.1224490.8775510.122449
]19,20]19.5120.12244910.122449

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[11,12] & 11.5 & 2 & 0.020408 & 0.020408 & 0.020408 \tabularnewline
]12,13] & 12.5 & 3 & 0.030612 & 0.05102 & 0.030612 \tabularnewline
]13,14] & 13.5 & 8 & 0.081633 & 0.132653 & 0.081633 \tabularnewline
]14,15] & 14.5 & 11 & 0.112245 & 0.244898 & 0.112245 \tabularnewline
]15,16] & 15.5 & 17 & 0.173469 & 0.418367 & 0.173469 \tabularnewline
]16,17] & 16.5 & 17 & 0.173469 & 0.591837 & 0.173469 \tabularnewline
]17,18] & 17.5 & 16 & 0.163265 & 0.755102 & 0.163265 \tabularnewline
]18,19] & 18.5 & 12 & 0.122449 & 0.877551 & 0.122449 \tabularnewline
]19,20] & 19.5 & 12 & 0.122449 & 1 & 0.122449 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298743&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][11,12][/C][C]11.5[/C][C]2[/C][C]0.020408[/C][C]0.020408[/C][C]0.020408[/C][/ROW]
[ROW][C]]12,13][/C][C]12.5[/C][C]3[/C][C]0.030612[/C][C]0.05102[/C][C]0.030612[/C][/ROW]
[ROW][C]]13,14][/C][C]13.5[/C][C]8[/C][C]0.081633[/C][C]0.132653[/C][C]0.081633[/C][/ROW]
[ROW][C]]14,15][/C][C]14.5[/C][C]11[/C][C]0.112245[/C][C]0.244898[/C][C]0.112245[/C][/ROW]
[ROW][C]]15,16][/C][C]15.5[/C][C]17[/C][C]0.173469[/C][C]0.418367[/C][C]0.173469[/C][/ROW]
[ROW][C]]16,17][/C][C]16.5[/C][C]17[/C][C]0.173469[/C][C]0.591837[/C][C]0.173469[/C][/ROW]
[ROW][C]]17,18][/C][C]17.5[/C][C]16[/C][C]0.163265[/C][C]0.755102[/C][C]0.163265[/C][/ROW]
[ROW][C]]18,19][/C][C]18.5[/C][C]12[/C][C]0.122449[/C][C]0.877551[/C][C]0.122449[/C][/ROW]
[ROW][C]]19,20][/C][C]19.5[/C][C]12[/C][C]0.122449[/C][C]1[/C][C]0.122449[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298743&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298743&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
[11,12]11.520.0204080.0204080.020408
]12,13]12.530.0306120.051020.030612
]13,14]13.580.0816330.1326530.081633
]14,15]14.5110.1122450.2448980.112245
]15,16]15.5170.1734690.4183670.173469
]16,17]16.5170.1734690.5918370.173469
]17,18]17.5160.1632650.7551020.163265
]18,19]18.5120.1224490.8775510.122449
]19,20]19.5120.12244910.122449


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = grey ; par3 = TRUE ; par4 = Unknown ;
Parameters (R input):
par1 = ; par2 = grey ; par3 = TRUE ; 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')
}