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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSun, 19 Oct 2008 14:53:47 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/19/t12244496814sntwa62s4ujaeu.htm/, Retrieved Fri, 17 May 2024 01:44:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17106, Retrieved Fri, 17 May 2024 01:44:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Het aantal werklo...] [2008-10-10 14:34:09] [5e74953d94072114d25d7276793b561e]
-   PD  [Univariate Data Series] [(verbeterende ree...] [2008-10-14 19:16:21] [5e74953d94072114d25d7276793b561e]
- RMPD      [Pearson Correlation] [correlatie tussen...] [2008-10-19 20:53:47] [5925747fb2a6bb4cfcd8015825ee5e92] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
28
30
32
31
32
34
32
35
29
33
33
34
32
27
26
22
22
23
23
19
15
5
1
11
18
20
21
19
20
19
18
16
16
16
15
11
10
6
1
8
10
9
6
8
14
4
13
13
16
18
16
15
13
19
15
17
17
13
12
13
13
16
17
14
8
8
8
9
5
11
10
14
18
17
14
15
13
17
17
17
17
21
20
11
18
20
18
21
21
20
18
17
17
18
11
15
13
16
16
12
10
8
6
8
Dataseries Y:
Download CSV
Histogram 
93.9
97.5
98.1
89.6
98.4
102
99.2
101.8
108.3
106.7
108.2
94.2
95.1
98.1
93.2
94
97.2
95
90.5
91.6
90.5
79.9
74.9
74.3
75.9
77.7
86.9
90.7
91
89.5
92.5
94.1
98.5
96.8
91.2
97.1
104.9
110.9
104.8
94.1
95.8
99.3
101.1
104
99
105.4
107.1
110.7
117.1
118.7
126.5
127.5
134.6
131.8
135.9
142.7
141.7
153.4
145
137.7
148.3
152.2
169.4
168.6
161.1
174.1
179
190.6
190
181.6
174.8
180.5
196.8
193.8
197
216.3
221.4
217.9
229.7
227.4
204.2
196.6
198.8
207.5
190.7
201.6
210.5
223.5
223.8
231.2
244
234.7
250.2
265.7
287.6
283.3
295.4
312.3
333.8
347.7
383.2
407.1
413.6
362.7

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17106&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17106&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17106&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean16.7019230769231158.5
Biased Variance57.88230399408286258.93173076923
Biased Standard Deviation7.6080420604832979.1134105621116
Covariance-171.129126213592
Correlation-0.281581946063012
Determination0.0792883923486328
T-Test-2.96376034401836
p-value (2 sided)0.00378300905403461
p-value (1 sided)0.00189150452701731
Degrees of Freedom102
Number of Observations104

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 16.7019230769231 & 158.5 \tabularnewline
Biased Variance & 57.8823039940828 & 6258.93173076923 \tabularnewline
Biased Standard Deviation & 7.60804206048329 & 79.1134105621116 \tabularnewline
Covariance & -171.129126213592 \tabularnewline
Correlation & -0.281581946063012 \tabularnewline
Determination & 0.0792883923486328 \tabularnewline
T-Test & -2.96376034401836 \tabularnewline
p-value (2 sided) & 0.00378300905403461 \tabularnewline
p-value (1 sided) & 0.00189150452701731 \tabularnewline
Degrees of Freedom & 102 \tabularnewline
Number of Observations & 104 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17106&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]16.7019230769231[/C][C]158.5[/C][/ROW]
[ROW][C]Biased Variance[/C][C]57.8823039940828[/C][C]6258.93173076923[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]7.60804206048329[/C][C]79.1134105621116[/C][/ROW]
[ROW][C]Covariance[/C][C]-171.129126213592[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.281581946063012[/C][/ROW]
[ROW][C]Determination[/C][C]0.0792883923486328[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.96376034401836[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00378300905403461[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00189150452701731[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]102[/C][/ROW]
[ROW][C]Number of Observations[/C][C]104[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17106&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17106&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
Mean16.7019230769231158.5
Biased Variance57.88230399408286258.93173076923
Biased Standard Deviation7.6080420604832979.1134105621116
Covariance-171.129126213592
Correlation-0.281581946063012
Determination0.0792883923486328
T-Test-2.96376034401836
p-value (2 sided)0.00378300905403461
p-value (1 sided)0.00189150452701731
Degrees of Freedom102
Number of Observations104


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
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')
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')