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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 computationFri, 16 Dec 2011 09:53:46 -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/2011/Dec/16/t1324047243cz7ht0nrl8lixak.htm/, Retrieved Fri, 03 May 2024 10:02:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156025, Retrieved Fri, 03 May 2024 10:02:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordscorrelation
Estimated Impact81

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Colombia Coffee -...] [2008-02-26 10:22:06] [74be16979710d4c4e7c6647856088456]
-  M D  [Linear Regression Graphical Model Validation] [mini-tutorial] [2011-11-15 09:10:29] [227e53f633d125e3e89f625705633e7f]
- RMPD    [Pearson Correlation] [Paper] [2011-12-16 14:50:31] [227e53f633d125e3e89f625705633e7f]
- R           [Pearson Correlation] [Paper] [2011-12-16 14:53:46] [065e524ef27b3ebe8baf73e00eb8c266] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
96
91
108
95
105
117
94
98
120
91
100
90
123
97
120
133
141
138
85
121
74
100
67
73
116
115
92
109
120
105
115
105
122
87
94
78
135
113
123
126
127
120
108
83
117
96
103
134
112
93
103
84
116
97
87
122
111
101
109
96
100
90
120
86
85
96
93
95
127
156
94
123
80
98
88
109
98
83
85
85
76
96
72
125
121
103
113
89
108
80
87
84
93
94
87
95
106
94
Dataseries Y:
Download CSV
Histogram 
83
79
92
83
92
103
82
86
106
79
86
76
108
82
108
118
127
123
72
105
63
86
58
59
100
100
78
94
105
89
101
92
105
76
80
66
117
94
107
110
110
106
94
71
101
84
89
119
97
82
89
70
101
81
74
107
97
83
95
82
88
74
104
73
73
81
79
83
111
138
81
107
66
81
74
96
86
69
73
71
64
79
60
111
107
90
98
77
93
68
74
70
80
81
72
81
92
81

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=156025&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=156025&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156025&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
Mean102.70408163265388.6530612244898
Biased Variance297.249167013744263.04289879217
Biased Standard Deviation17.240915492332316.21859731272
Covariance281.442667788765
Correlation0.996235430962474
Determination0.992485033904987
T-Test112.59888423874
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom96
Number of Observations98

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 102.704081632653 & 88.6530612244898 \tabularnewline
Biased Variance & 297.249167013744 & 263.04289879217 \tabularnewline
Biased Standard Deviation & 17.2409154923323 & 16.21859731272 \tabularnewline
Covariance & 281.442667788765 \tabularnewline
Correlation & 0.996235430962474 \tabularnewline
Determination & 0.992485033904987 \tabularnewline
T-Test & 112.59888423874 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 96 \tabularnewline
Number of Observations & 98 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156025&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]102.704081632653[/C][C]88.6530612244898[/C][/ROW]
[ROW][C]Biased Variance[/C][C]297.249167013744[/C][C]263.04289879217[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]17.2409154923323[/C][C]16.21859731272[/C][/ROW]
[ROW][C]Covariance[/C][C]281.442667788765[/C][/ROW]
[ROW][C]Correlation[/C][C]0.996235430962474[/C][/ROW]
[ROW][C]Determination[/C][C]0.992485033904987[/C][/ROW]
[ROW][C]T-Test[/C][C]112.59888423874[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]96[/C][/ROW]
[ROW][C]Number of Observations[/C][C]98[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156025&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156025&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
Mean102.70408163265388.6530612244898
Biased Variance297.249167013744263.04289879217
Biased Standard Deviation17.240915492332316.21859731272
Covariance281.442667788765
Correlation0.996235430962474
Determination0.992485033904987
T-Test112.59888423874
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom96
Number of Observations98


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')