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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationFri, 04 Apr 2014 11:20:24 -0400
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/Apr/04/t1396625084m0z7gnj6oorpna5.htm/, Retrieved Wed, 15 May 2024 16:19:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234402, Retrieved Wed, 15 May 2024 16:19:46 +0000
QR Codes:

Original text written by user:Numerische Mathematik I (Mathe BSc) (Bärwolff/Kandler) http://www3.math.tu-berlin.de/Vorlesungen/WS13/NumMath1/ Punktestand vor Einsicht. max 40 P., bestanden = 21 P.
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact195

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [tu berlin lina1 k...] [2012-07-11 21:49:14] [74be16979710d4c4e7c6647856088456]
- R  D  [Histogram] [Ergebnisse Modulk...] [2013-09-24 18:06:22] [74be16979710d4c4e7c6647856088456]
-   PD    [Histogram] [TU WS2013/14 Nume...] [2014-02-20 09:07:22] [74be16979710d4c4e7c6647856088456]
-   PD      [Histogram] [NumMath1-Modulkla...] [2014-02-20 09:28:44] [74be16979710d4c4e7c6647856088456]
-             [Histogram] [NumMath1-Modulkla...] [2014-02-20 09:40:05] [74be16979710d4c4e7c6647856088456]
-    D            [Histogram] [NumMath1-Modulkla...] [2014-04-04 15:20:24] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-    D              [Histogram] [Noten Juli-Klausu...] [2014-07-24 02:44:35] [74be16979710d4c4e7c6647856088456]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
22
6
26
15
16
27
12
26.5
6.5
26.5
11
25
13
18
35
14
22.5
32
32
12
12
15.5
22
17.5
12
27
26.5
17
8
35
17
12
8
21
25
28
21
27.5
14
17
29
11.5
7
0
21
21
13.5
27.5
17
32
23
25
24.5
9
23.5
17
14
21.5
29
16
32
13.5
5.5
16.5
19
29.5
21
3
15
19
16.5
21
11
18
15
25
19.5
19
24
19
18
18
6
7.5
26.5
22
26.5
13.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234402&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]2 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=234402&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234402&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,1[0.510.0113640.0113640.011364
[1,2[1.5000.0113640
[2,3[2.5000.0113640
[3,4[3.510.0113640.0227270.011364
[4,5[4.5000.0227270
[5,6[5.510.0113640.0340910.011364
[6,7[6.530.0340910.0681820.034091
[7,8[7.520.0227270.0909090.022727
[8,9[8.520.0227270.1136360.022727
[9,10[9.510.0113640.1250.011364
[10,11[10.5000.1250
[11,12[11.530.0340910.1590910.034091
[12,13[12.550.0568180.2159090.056818
[13,14[13.540.0454550.2613640.045455
[14,15[14.530.0340910.2954550.034091
[15,16[15.540.0454550.3409090.045455
[16,17[16.540.0454550.3863640.045455
[17,18[17.560.0681820.4545450.068182
[18,19[18.540.0454550.50.045455
[19,20[19.550.0568180.5568180.056818
[20,21[20.5000.5568180
[21,22[21.570.0795450.6363640.079545
[22,23[22.540.0454550.6818180.045455
[23,24[23.520.0227270.7045450.022727
[24,25[24.520.0227270.7272730.022727
[25,26[25.540.0454550.7727270.045455
[26,27[26.560.0681820.8409090.068182
[27,28[27.540.0454550.8863640.045455
[28,29[28.510.0113640.8977270.011364
[29,30[29.530.0340910.9318180.034091
[30,31[30.5000.9318180
[31,32[31.5000.9318180
[32,33[32.540.0454550.9772730.045455
[33,34[33.5000.9772730
[34,35]34.520.02272710.022727

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,1[ & 0.5 & 1 & 0.011364 & 0.011364 & 0.011364 \tabularnewline
[1,2[ & 1.5 & 0 & 0 & 0.011364 & 0 \tabularnewline
[2,3[ & 2.5 & 0 & 0 & 0.011364 & 0 \tabularnewline
[3,4[ & 3.5 & 1 & 0.011364 & 0.022727 & 0.011364 \tabularnewline
[4,5[ & 4.5 & 0 & 0 & 0.022727 & 0 \tabularnewline
[5,6[ & 5.5 & 1 & 0.011364 & 0.034091 & 0.011364 \tabularnewline
[6,7[ & 6.5 & 3 & 0.034091 & 0.068182 & 0.034091 \tabularnewline
[7,8[ & 7.5 & 2 & 0.022727 & 0.090909 & 0.022727 \tabularnewline
[8,9[ & 8.5 & 2 & 0.022727 & 0.113636 & 0.022727 \tabularnewline
[9,10[ & 9.5 & 1 & 0.011364 & 0.125 & 0.011364 \tabularnewline
[10,11[ & 10.5 & 0 & 0 & 0.125 & 0 \tabularnewline
[11,12[ & 11.5 & 3 & 0.034091 & 0.159091 & 0.034091 \tabularnewline
[12,13[ & 12.5 & 5 & 0.056818 & 0.215909 & 0.056818 \tabularnewline
[13,14[ & 13.5 & 4 & 0.045455 & 0.261364 & 0.045455 \tabularnewline
[14,15[ & 14.5 & 3 & 0.034091 & 0.295455 & 0.034091 \tabularnewline
[15,16[ & 15.5 & 4 & 0.045455 & 0.340909 & 0.045455 \tabularnewline
[16,17[ & 16.5 & 4 & 0.045455 & 0.386364 & 0.045455 \tabularnewline
[17,18[ & 17.5 & 6 & 0.068182 & 0.454545 & 0.068182 \tabularnewline
[18,19[ & 18.5 & 4 & 0.045455 & 0.5 & 0.045455 \tabularnewline
[19,20[ & 19.5 & 5 & 0.056818 & 0.556818 & 0.056818 \tabularnewline
[20,21[ & 20.5 & 0 & 0 & 0.556818 & 0 \tabularnewline
[21,22[ & 21.5 & 7 & 0.079545 & 0.636364 & 0.079545 \tabularnewline
[22,23[ & 22.5 & 4 & 0.045455 & 0.681818 & 0.045455 \tabularnewline
[23,24[ & 23.5 & 2 & 0.022727 & 0.704545 & 0.022727 \tabularnewline
[24,25[ & 24.5 & 2 & 0.022727 & 0.727273 & 0.022727 \tabularnewline
[25,26[ & 25.5 & 4 & 0.045455 & 0.772727 & 0.045455 \tabularnewline
[26,27[ & 26.5 & 6 & 0.068182 & 0.840909 & 0.068182 \tabularnewline
[27,28[ & 27.5 & 4 & 0.045455 & 0.886364 & 0.045455 \tabularnewline
[28,29[ & 28.5 & 1 & 0.011364 & 0.897727 & 0.011364 \tabularnewline
[29,30[ & 29.5 & 3 & 0.034091 & 0.931818 & 0.034091 \tabularnewline
[30,31[ & 30.5 & 0 & 0 & 0.931818 & 0 \tabularnewline
[31,32[ & 31.5 & 0 & 0 & 0.931818 & 0 \tabularnewline
[32,33[ & 32.5 & 4 & 0.045455 & 0.977273 & 0.045455 \tabularnewline
[33,34[ & 33.5 & 0 & 0 & 0.977273 & 0 \tabularnewline
[34,35] & 34.5 & 2 & 0.022727 & 1 & 0.022727 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234402&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][0,1[[/C][C]0.5[/C][C]1[/C][C]0.011364[/C][C]0.011364[/C][C]0.011364[/C][/ROW]
[ROW][C][1,2[[/C][C]1.5[/C][C]0[/C][C]0[/C][C]0.011364[/C][C]0[/C][/ROW]
[ROW][C][2,3[[/C][C]2.5[/C][C]0[/C][C]0[/C][C]0.011364[/C][C]0[/C][/ROW]
[ROW][C][3,4[[/C][C]3.5[/C][C]1[/C][C]0.011364[/C][C]0.022727[/C][C]0.011364[/C][/ROW]
[ROW][C][4,5[[/C][C]4.5[/C][C]0[/C][C]0[/C][C]0.022727[/C][C]0[/C][/ROW]
[ROW][C][5,6[[/C][C]5.5[/C][C]1[/C][C]0.011364[/C][C]0.034091[/C][C]0.011364[/C][/ROW]
[ROW][C][6,7[[/C][C]6.5[/C][C]3[/C][C]0.034091[/C][C]0.068182[/C][C]0.034091[/C][/ROW]
[ROW][C][7,8[[/C][C]7.5[/C][C]2[/C][C]0.022727[/C][C]0.090909[/C][C]0.022727[/C][/ROW]
[ROW][C][8,9[[/C][C]8.5[/C][C]2[/C][C]0.022727[/C][C]0.113636[/C][C]0.022727[/C][/ROW]
[ROW][C][9,10[[/C][C]9.5[/C][C]1[/C][C]0.011364[/C][C]0.125[/C][C]0.011364[/C][/ROW]
[ROW][C][10,11[[/C][C]10.5[/C][C]0[/C][C]0[/C][C]0.125[/C][C]0[/C][/ROW]
[ROW][C][11,12[[/C][C]11.5[/C][C]3[/C][C]0.034091[/C][C]0.159091[/C][C]0.034091[/C][/ROW]
[ROW][C][12,13[[/C][C]12.5[/C][C]5[/C][C]0.056818[/C][C]0.215909[/C][C]0.056818[/C][/ROW]
[ROW][C][13,14[[/C][C]13.5[/C][C]4[/C][C]0.045455[/C][C]0.261364[/C][C]0.045455[/C][/ROW]
[ROW][C][14,15[[/C][C]14.5[/C][C]3[/C][C]0.034091[/C][C]0.295455[/C][C]0.034091[/C][/ROW]
[ROW][C][15,16[[/C][C]15.5[/C][C]4[/C][C]0.045455[/C][C]0.340909[/C][C]0.045455[/C][/ROW]
[ROW][C][16,17[[/C][C]16.5[/C][C]4[/C][C]0.045455[/C][C]0.386364[/C][C]0.045455[/C][/ROW]
[ROW][C][17,18[[/C][C]17.5[/C][C]6[/C][C]0.068182[/C][C]0.454545[/C][C]0.068182[/C][/ROW]
[ROW][C][18,19[[/C][C]18.5[/C][C]4[/C][C]0.045455[/C][C]0.5[/C][C]0.045455[/C][/ROW]
[ROW][C][19,20[[/C][C]19.5[/C][C]5[/C][C]0.056818[/C][C]0.556818[/C][C]0.056818[/C][/ROW]
[ROW][C][20,21[[/C][C]20.5[/C][C]0[/C][C]0[/C][C]0.556818[/C][C]0[/C][/ROW]
[ROW][C][21,22[[/C][C]21.5[/C][C]7[/C][C]0.079545[/C][C]0.636364[/C][C]0.079545[/C][/ROW]
[ROW][C][22,23[[/C][C]22.5[/C][C]4[/C][C]0.045455[/C][C]0.681818[/C][C]0.045455[/C][/ROW]
[ROW][C][23,24[[/C][C]23.5[/C][C]2[/C][C]0.022727[/C][C]0.704545[/C][C]0.022727[/C][/ROW]
[ROW][C][24,25[[/C][C]24.5[/C][C]2[/C][C]0.022727[/C][C]0.727273[/C][C]0.022727[/C][/ROW]
[ROW][C][25,26[[/C][C]25.5[/C][C]4[/C][C]0.045455[/C][C]0.772727[/C][C]0.045455[/C][/ROW]
[ROW][C][26,27[[/C][C]26.5[/C][C]6[/C][C]0.068182[/C][C]0.840909[/C][C]0.068182[/C][/ROW]
[ROW][C][27,28[[/C][C]27.5[/C][C]4[/C][C]0.045455[/C][C]0.886364[/C][C]0.045455[/C][/ROW]
[ROW][C][28,29[[/C][C]28.5[/C][C]1[/C][C]0.011364[/C][C]0.897727[/C][C]0.011364[/C][/ROW]
[ROW][C][29,30[[/C][C]29.5[/C][C]3[/C][C]0.034091[/C][C]0.931818[/C][C]0.034091[/C][/ROW]
[ROW][C][30,31[[/C][C]30.5[/C][C]0[/C][C]0[/C][C]0.931818[/C][C]0[/C][/ROW]
[ROW][C][31,32[[/C][C]31.5[/C][C]0[/C][C]0[/C][C]0.931818[/C][C]0[/C][/ROW]
[ROW][C][32,33[[/C][C]32.5[/C][C]4[/C][C]0.045455[/C][C]0.977273[/C][C]0.045455[/C][/ROW]
[ROW][C][33,34[[/C][C]33.5[/C][C]0[/C][C]0[/C][C]0.977273[/C][C]0[/C][/ROW]
[ROW][C][34,35][/C][C]34.5[/C][C]2[/C][C]0.022727[/C][C]1[/C][C]0.022727[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234402&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234402&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
[0,1[0.510.0113640.0113640.011364
[1,2[1.5000.0113640
[2,3[2.5000.0113640
[3,4[3.510.0113640.0227270.011364
[4,5[4.5000.0227270
[5,6[5.510.0113640.0340910.011364
[6,7[6.530.0340910.0681820.034091
[7,8[7.520.0227270.0909090.022727
[8,9[8.520.0227270.1136360.022727
[9,10[9.510.0113640.1250.011364
[10,11[10.5000.1250
[11,12[11.530.0340910.1590910.034091
[12,13[12.550.0568180.2159090.056818
[13,14[13.540.0454550.2613640.045455
[14,15[14.530.0340910.2954550.034091
[15,16[15.540.0454550.3409090.045455
[16,17[16.540.0454550.3863640.045455
[17,18[17.560.0681820.4545450.068182
[18,19[18.540.0454550.50.045455
[19,20[19.550.0568180.5568180.056818
[20,21[20.5000.5568180
[21,22[21.570.0795450.6363640.079545
[22,23[22.540.0454550.6818180.045455
[23,24[23.520.0227270.7045450.022727
[24,25[24.520.0227270.7272730.022727
[25,26[25.540.0454550.7727270.045455
[26,27[26.560.0681820.8409090.068182
[27,28[27.540.0454550.8863640.045455
[28,29[28.510.0113640.8977270.011364
[29,30[29.530.0340910.9318180.034091
[30,31[30.5000.9318180
[31,32[31.5000.9318180
[32,33[32.540.0454550.9772730.045455
[33,34[33.5000.9772730
[34,35]34.520.02272710.022727


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 30 ; par2 = red ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 30 ; par2 = red ; 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')
}