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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationTue, 11 Dec 2012 14:59:14 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/11/t1355256028izeckai4794s8lp.htm/, Retrieved Sat, 20 Apr 2024 12:45:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=198673, Retrieved Sat, 20 Apr 2024 12:45:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Guns vs. Intentio...] [2012-12-11 19:59:14] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15.3
19.2
31.3
0.5
24.8
45.7
88.8
22.1
3.9
30.4
8.6
31.6
12
30.8
15
30.3
17.2
32
19.9
6.2
31.2
0.6
11.9
10.4
36.4
1.1
22.6
25.5
7.3
13.5
11.9
22.5
16.3
1.6
8.5
35
8.3
24.8
9.2
5.5
1.3
8.9
0.7
21.7
7.8
10.7
19
10.2
12.5
14
Dataseries Y:
Download CSV
Histogram 
2.465174278
0.931192069
0.711452013
0.377183262
2.236740543
0.713040346
5.398554225
0.836420224
1.066455767
0.539451529
1.148668486
0.887746415
0.982298258
1.833295857
1.213173841
0.875413916
1.886406807
2.501723932
20.68464671
1.273047089
1.351081227
0.510491792
1.02685726
0.9435998
0.83565382
2.323293959
1.215575543
0.682603434
2.298259358
0.495497906
1.449464423
1.230981011
1.946545359
41.09568458
1.166003988
1.039045527
1.727527078
0.57014764
6.258638225
1.456811622
1.20360678
11.6070412
8.86957821
1.606921259
8.450290249
3.500918366
4.358933039
5.803955039
3.271119553
13.79015521

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198673&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198673&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198673&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'Gwilym Jenkins' @ jenkins.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean17.933.61296736048
Biased Variance221.821743.1041199972603
Biased Standard Deviation14.89367986764866.56537279956442
Covariance-16.2791442030433
Correlation-0.163153441745179
Determination0.0266190455532977
T-Test-1.14571193235674
p-value (2 sided)0.257594453175306
p-value (1 sided)0.128797226587653
Degrees of Freedom48
Number of Observations50

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 17.93 & 3.61296736048 \tabularnewline
Biased Variance & 221.8217 & 43.1041199972603 \tabularnewline
Biased Standard Deviation & 14.8936798676486 & 6.56537279956442 \tabularnewline
Covariance & -16.2791442030433 \tabularnewline
Correlation & -0.163153441745179 \tabularnewline
Determination & 0.0266190455532977 \tabularnewline
T-Test & -1.14571193235674 \tabularnewline
p-value (2 sided) & 0.257594453175306 \tabularnewline
p-value (1 sided) & 0.128797226587653 \tabularnewline
Degrees of Freedom & 48 \tabularnewline
Number of Observations & 50 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198673&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]17.93[/C][C]3.61296736048[/C][/ROW]
[ROW][C]Biased Variance[/C][C]221.8217[/C][C]43.1041199972603[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]14.8936798676486[/C][C]6.56537279956442[/C][/ROW]
[ROW][C]Covariance[/C][C]-16.2791442030433[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.163153441745179[/C][/ROW]
[ROW][C]Determination[/C][C]0.0266190455532977[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.14571193235674[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.257594453175306[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.128797226587653[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]48[/C][/ROW]
[ROW][C]Number of Observations[/C][C]50[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198673&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198673&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:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean17.933.61296736048
Biased Variance221.821743.1041199972603
Biased Standard Deviation14.89367986764866.56537279956442
Covariance-16.2791442030433
Correlation-0.163153441745179
Determination0.0266190455532977
T-Test-1.14571193235674
p-value (2 sided)0.257594453175306
p-value (1 sided)0.128797226587653
Degrees of Freedom48
Number of Observations50


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
x <- x[!is.na(y)]
y <- y[!is.na(y)]
y <- y[!is.na(x)]
x <- x[!is.na(x)]
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson', na.rm = T)
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')