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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 computationSat, 08 Jan 2011 01:53:27 +0000
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/Jan/08/t1294451578i5n0ughe7qyjzn0.htm/, Retrieved Thu, 31 Oct 2024 23:00:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117295, Retrieved Thu, 31 Oct 2024 23:00:11 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsJif, sleep, hours, day, rating
Estimated Impact283

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Jif, sleep hours ...] [2011-01-08 01:53:27] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6.75
8.5
8
7.9
8
10
7.75
6.75
8
9
7.5
7.75
10.5
10
7.5
7
7.5
8.5
7.5
8
8.5
7
8
7
7.15
8.4
8
7.75
8
10
7
7
8
7.75
8
7.15
9.75
8.75
9
9
9
7.5
9
7.75
7.5
8
8
9.5
9
7.5
7.75
7.75
7.75
9
7.5
8
8
8
8
8.5
7.5
7
8
8
7
7.5
9
7
8
8
8
7.5
10
9
7.5
7
8.5
7
7.5
7.5
10
8
7.5
9.5
8.5
8
8.5
8
8
8
9
8
7.5
9.5
7.75
7
7
8
8
9
9.5
7.5
7.5
7.5
7.5
9.5
10
7
7
7.5
7
7
7
9.5
7.5
7
7.5
7.25
7.5
7.5
9.5
7.5
7
7
7.25
8.15
7.15
9.5
7.5
6.7
7.15
7.5
7
10.25
9
8.4
9.25
6.3
6.4
6.75
7
8.5
7.5
7
7.5
7.25
7.75
7.5
8.5
8.5
7
7
7
7
7.6
9.5
8.5
5.25
8.25
7.75
9.5
9.5
8.75
7
7
7.5
7.5
9.5
7
9
8.25
7
8
7.5
7.5
7.1
9.25
10.25
7
7.45
7
7.5
8
9
8.5
6.5
8
8
7.5
7.5
9.5
8
7
7.5
8
7.15
7.75
8
8
6
7.5
7.5
7.5
7
9.5
8
7
7
7.5
8.5
7.75
7.75
9.5
10.45
8.75
7.25
10.1
9.25
9.25
8.5
8.5
7
7
7
Dataseries Y:
Download CSV
Histogram 
-4
-3
5
5
5
-1
-3
5
4
5
5
5
4
1
3
5
4
5
5
4
5
6
5
6
7.5
6
3
6
3
3
2
2.5
2
-4
4
3
3
3
3
4.5
5
5
5
-5.5
3
4.5
3
3
1
3
3
3.5
3.5
4
3
4
3.7
5
0
1
5
4
4
4
4
4
3.75
5
5
5
4
4
4
1
1
5
3
5
5
8
5
6
3
3
-2
3
2
2
-1
2
3
3
3.5
1
2
4
4
5
4
3.5
3
3
4.5
3.75
2
2
-3
0
3
4
5
4
4
4
4
3
3
4.5
2
4
3
-1.2
-1
2.5
2.7
-1.75
-1.75
0.5
1.75
-0.5
2.5
1.5
0
-1.25
-2.5
-2
1.5
-1
4
3
3
-1
1
1.5
3
2.75
1.75
1
-3
-4.75
-1
0
1
-2
-5.6
-3
-6
-3.5
1.8
-1
2
2.25
1.25
0
-4
-4.5
-8.5
-2
2
2
0.5
0
1.5
3
2.25
3
1
-0.5
2.5
3.75
1
2.7
3
2.5
3.25
5
4
3.5
3.5
3
6
4
5
4
3
1
3
6
4
4
2
3.5
4
3.5
3
3
3
3
3
2
3
3
3
3.2
3
3.75
3
3
3
2
5
5.5
6
3.75

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117295&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117295&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117295&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean7.951785714285712.43214285714286
Biased Variance0.882340561224496.93758290816327
Biased Standard Deviation0.9393298468719552.63392917675538
Covariance-0.141268417680974
Correlation-0.0568433559629647
Determination0.00323116711713231
T-Test-0.848318567105871
p-value (2 sided)0.397174321819659
p-value (1 sided)0.19858716090983
Degrees of Freedom222
Number of Observations224

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 7.95178571428571 & 2.43214285714286 \tabularnewline
Biased Variance & 0.88234056122449 & 6.93758290816327 \tabularnewline
Biased Standard Deviation & 0.939329846871955 & 2.63392917675538 \tabularnewline
Covariance & -0.141268417680974 \tabularnewline
Correlation & -0.0568433559629647 \tabularnewline
Determination & 0.00323116711713231 \tabularnewline
T-Test & -0.848318567105871 \tabularnewline
p-value (2 sided) & 0.397174321819659 \tabularnewline
p-value (1 sided) & 0.19858716090983 \tabularnewline
Degrees of Freedom & 222 \tabularnewline
Number of Observations & 224 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117295&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]7.95178571428571[/C][C]2.43214285714286[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.88234056122449[/C][C]6.93758290816327[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.939329846871955[/C][C]2.63392917675538[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.141268417680974[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.0568433559629647[/C][/ROW]
[ROW][C]Determination[/C][C]0.00323116711713231[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.848318567105871[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.397174321819659[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.19858716090983[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]222[/C][/ROW]
[ROW][C]Number of Observations[/C][C]224[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117295&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117295&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
Mean7.951785714285712.43214285714286
Biased Variance0.882340561224496.93758290816327
Biased Standard Deviation0.9393298468719552.63392917675538
Covariance-0.141268417680974
Correlation-0.0568433559629647
Determination0.00323116711713231
T-Test-0.848318567105871
p-value (2 sided)0.397174321819659
p-value (1 sided)0.19858716090983
Degrees of Freedom222
Number of Observations224


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')