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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 computationMon, 20 Oct 2008 15:13:31 -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/20/t1224537269kz8s4lvjofqp29g.htm/, Retrieved Sun, 19 May 2024 15:21:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18162, Retrieved Sun, 19 May 2024 15:21:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D  [Pearson Correlation] [Q10- Verband Bouw...] [2008-10-20 20:27:55] [86761fc994bdf34e4f4ab5b8e1d9e1c3]
F    D      [Pearson Correlation] [Q10 Verband Bouwp...] [2008-10-20 21:13:31] [8a1195ff8db4df756ce44b463a631c76] [Current]
Feedback Forum
2008-10-27 07:47:29 [Siem Van Opstal] [reply] 
De student doet een zeer uitgebreide, correcte interpratie van zijn tijdreeksen

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
82.7
88.9
105.9
100.8
94
105
58.5
87.6
113.1
112.5
89.6
74.5
82.7
90.1
109.4
96
89.2
109.1
49.1
92.9
107.7
103.5
91.1
79.8
71.9
82.9
90.1
100.7
90.7
108.8
44.1
93.6
107.4
96.5
93.6
76.5
76.7
84
103.3
88.5
99
105.9
44.7
94
107.1
104.8
102.5
77.7
85.2
91.3
106.5
92.4
97.5
107
51.1
98.6
102.2
114.3
99.4
72.5
92.3
99.4
85.9
109.4
97.6
Dataseries Y:
Download CSV
Histogram 
5.66
5.48
5.29
5.18
4.99
4.92
4.81
4.79
4.75
4.68
4.68
4.73
4.75
4.61
4.76
4.74
4.64
4.65
4.68
4.78
4.78
4.95
4.96
4.71
4.45
4.38
4.32
4.27
4.17
4.07
4.02
3.95
3.9
3.9
3.88
3.89
3.89
3.93
3.94
3.97
4
4.04
4.18
4.32
4.37
4.4
4.38
4.36
4.36
4.4
4.41
4.43
4.42
4.46
4.61
4.78
4.88
4.95
4.95
4.93
4.93
4.91
4.88
4.83
4.83

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' @ 193.190.124.10:1001

\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' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18162&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' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18162&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18162&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' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean91.71230769230774.55246153846154
Biased Variance259.9816946745560.166532402366864
Biased Standard Deviation16.12394786256010.408083817820388
Covariance0.703484855769232
Correlation0.105269027590366
Determination0.0110815681698213
T-Test0.840215424928015
p-value (2 sided)0.40396508727428
p-value (1 sided)0.20198254363714
Degrees of Freedom63
Number of Observations65

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 91.7123076923077 & 4.55246153846154 \tabularnewline
Biased Variance & 259.981694674556 & 0.166532402366864 \tabularnewline
Biased Standard Deviation & 16.1239478625601 & 0.408083817820388 \tabularnewline
Covariance & 0.703484855769232 \tabularnewline
Correlation & 0.105269027590366 \tabularnewline
Determination & 0.0110815681698213 \tabularnewline
T-Test & 0.840215424928015 \tabularnewline
p-value (2 sided) & 0.40396508727428 \tabularnewline
p-value (1 sided) & 0.20198254363714 \tabularnewline
Degrees of Freedom & 63 \tabularnewline
Number of Observations & 65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18162&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]91.7123076923077[/C][C]4.55246153846154[/C][/ROW]
[ROW][C]Biased Variance[/C][C]259.981694674556[/C][C]0.166532402366864[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]16.1239478625601[/C][C]0.408083817820388[/C][/ROW]
[ROW][C]Covariance[/C][C]0.703484855769232[/C][/ROW]
[ROW][C]Correlation[/C][C]0.105269027590366[/C][/ROW]
[ROW][C]Determination[/C][C]0.0110815681698213[/C][/ROW]
[ROW][C]T-Test[/C][C]0.840215424928015[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.40396508727428[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.20198254363714[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]63[/C][/ROW]
[ROW][C]Number of Observations[/C][C]65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18162&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18162&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
Mean91.71230769230774.55246153846154
Biased Variance259.9816946745560.166532402366864
Biased Standard Deviation16.12394786256010.408083817820388
Covariance0.703484855769232
Correlation0.105269027590366
Determination0.0110815681698213
T-Test0.840215424928015
p-value (2 sided)0.40396508727428
p-value (1 sided)0.20198254363714
Degrees of Freedom63
Number of Observations65


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')