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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 computationFri, 30 Nov 2007 07:41:44 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/30/t11964331277laqksabewj5sez.htm/, Retrieved Sat, 27 Apr 2024 14:02:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7715, Retrieved Sat, 27 Apr 2024 14:02:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsG29 paper
Estimated Impact179

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [G29 paper pearson...] [2007-11-30 14:41:44] [8e05505c645e933583b5ad9ab4281af9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
145,3
143,6
142,8
155,9
156,2
149,8
152,7
155,5
159,3
143
141,4
142,8
146,4
152,3
164,3
168
171,3
162,7
150,2
142,5
138,2
138
145,1
138,4
131,8
130,8
126,3
123
124
120,8
122,1
106,5
104,3
108,7
113,8
112,5
106,1
98,4
96
99,3
97,5
95,3
88
94,7
99,4
98,9
96,4
95,3
99,5
101,6
103,9
106,6
108,3
102
93,8
91,6
97,7
94,8
98
103,8
97,8
91,2
89,3
87,5
90,4
94,2
102,2
101,3
96
90,8
93,2
90,9
91,1
90,2
94,3
96
99
103,3
113,1
112,8
112,1
107,4
111
110,5
110,8
112,4
111,5
116,2
122,5
121,3
113,9
110,7
120,8
141,1
147,4
148
158,1
165
187
190,3
182,4
168,8
151,2
120,1
112,5
106,2
107,1
108,5
106,5
108,3
125,6
124
127,2
136,9
135,8
124,3
115,4
113,6
114,4
118,4
117
116,5
115,4
113,6
117,4
116,9
116,4
111,1
110,2
118,9
131,8
130,6
138,3
148,4
148,7
144,3
152,5
162,9
167,2
166,5
185,6
Dataseries Y:
Download CSV
Histogram 
145,9
158,5
152,2
153,7
157,9
154,4
150,7
151,2
147,3
146,6
145,2
139,3
145,7
163,3
181,8
188,1
222,9
206,3
184,9
183,6
186,6
176,5
173,9
184,9
182,5
183,6
172,4
168,9
163,3
152,4
145,8
148,6
143,4
141,2
144,6
144,5
140,8
133,3
127,3
119,6
120,2
121,9
112,4
111
107,8
110,5
118,3
123
112,1
104,2
102,4
100,3
102,6
101,5
103,4
99,4
97,9
98
90,2
87,1
91,8
94,8
91,8
89,3
91,7
86,2
82,8
82,3
79,8
79,4
85,3
87,5
88,3
88,6
94,9
94,7
92,6
91,8
96,4
96,4
107,1
111,9
107,8
109,2
115,3
119,2
107,8
106,8
104,2
94,8
97,5
98,3
100,6
94,9
93,6
98
104,3
103,9
105,3
102,6
103,3
107,9
107,8
109,8
110,6
110,8
119,3
128,1
127,6
137,9
151,4
143,6
143,4
141,9
135,2
133,1
129,6
134,1
136,8
143,5
162,5
163,1
157,2
158,8
155,4
148,5
154,2
153,3
149,4
147,9
156
163
159,1
159,5
157,3
156,4
156,6
162,4
166,8
162,6
168,1

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7715&T=0

[TABLE]
[ROW][C]Summary of compuational 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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7715&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7715&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean122.533333333333129.653191489362
Biased Variance618.187328605201977.906177757658
Biased Standard Deviation24.863373234643831.271491454001
Covariance431.909571428571
Correlation0.551560437231348
Determination0.304218915918836
T-Test7.79586300111235
p-value (2 sided)1.35869093753627e-12
p-value (1 sided)6.79345468768133e-13
Degrees of Freedom139
Number of Observations141

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 122.533333333333 & 129.653191489362 \tabularnewline
Biased Variance & 618.187328605201 & 977.906177757658 \tabularnewline
Biased Standard Deviation & 24.8633732346438 & 31.271491454001 \tabularnewline
Covariance & 431.909571428571 \tabularnewline
Correlation & 0.551560437231348 \tabularnewline
Determination & 0.304218915918836 \tabularnewline
T-Test & 7.79586300111235 \tabularnewline
p-value (2 sided) & 1.35869093753627e-12 \tabularnewline
p-value (1 sided) & 6.79345468768133e-13 \tabularnewline
Degrees of Freedom & 139 \tabularnewline
Number of Observations & 141 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7715&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]122.533333333333[/C][C]129.653191489362[/C][/ROW]
[ROW][C]Biased Variance[/C][C]618.187328605201[/C][C]977.906177757658[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]24.8633732346438[/C][C]31.271491454001[/C][/ROW]
[ROW][C]Covariance[/C][C]431.909571428571[/C][/ROW]
[ROW][C]Correlation[/C][C]0.551560437231348[/C][/ROW]
[ROW][C]Determination[/C][C]0.304218915918836[/C][/ROW]
[ROW][C]T-Test[/C][C]7.79586300111235[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.35869093753627e-12[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]6.79345468768133e-13[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]139[/C][/ROW]
[ROW][C]Number of Observations[/C][C]141[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7715&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7715&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
Mean122.533333333333129.653191489362
Biased Variance618.187328605201977.906177757658
Biased Standard Deviation24.863373234643831.271491454001
Covariance431.909571428571
Correlation0.551560437231348
Determination0.304218915918836
T-Test7.79586300111235
p-value (2 sided)1.35869093753627e-12
p-value (1 sided)6.79345468768133e-13
Degrees of Freedom139
Number of Observations141


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')