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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, 01 Nov 2009 17:36:23 -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/2009/Nov/02/t1257122463251ymwnmj43ucj5.htm/, Retrieved Fri, 03 May 2024 22:46:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=52443, Retrieved Fri, 03 May 2024 22:46:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWS 4 Part 2 r
Estimated Impact156

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
-   PD  [Bivariate Data Series] [WS 4 1 PLOTS] [2009-10-23 11:13:05] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMPD    [Bivariate Explorative Data Analysis] [ws 4 part 2] [2009-10-23 11:56:36] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMP       [Pearson Correlation] [ws 4 2.1 r] [2009-10-23 12:05:33] [6e4e01d7eb22a9f33d58ebb35753a195]
-  M D          [Pearson Correlation] [WS 4 Part 2 r] [2009-11-02 00:36:23] [52b85b290d6f50b0921ad6729b8a5af2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5840
5823
5855
5855
5907
6056
6040
5966
6031
6028
5959
5517
6115
6162
6137
6211
6263
6409
6441
6405
6514
6356
6382
6321
6332
6211
6102
6143
6180
6142
6162
6110
6114
6169
6193
6159
6103
6112
6045
6115
6121
6039
6012
5946
5930
5984
6050
6033
5917
6029
6078
6159
6229
6335
6471
6571
6467
6587
6633
6700
Dataseries Y:
Download CSV
Histogram 
8987
8832
8802
8576
8498
8901
8835
8655
8665
8416
8423
8255
8919
9031
8737
8754
8640
8776
8896
8557
8777
8434
8626
8461
8794
8566
8184
8126
8066
8137
8092
7904
7898
7920
8083
8039
8054
8095
7985
7980
7914
7703
7726
7587
7367
7393
7403
7444
7512
7699
7627
7684
7843
7959
8191
8367
8057
8187
8319
8435

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'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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=52443&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=52443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=52443&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean6154.68246.55
Biased Variance48428.84208824.2475
Biased Standard Deviation220.065535693347456.97291768769
Covariance17100.9016949153
Correlation0.167215786472445
Determination0.0279611192455985
T-Test1.29166369883536
p-value (2 sided)0.201597280337661
p-value (1 sided)0.100798640168830
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 6154.6 & 8246.55 \tabularnewline
Biased Variance & 48428.84 & 208824.2475 \tabularnewline
Biased Standard Deviation & 220.065535693347 & 456.97291768769 \tabularnewline
Covariance & 17100.9016949153 \tabularnewline
Correlation & 0.167215786472445 \tabularnewline
Determination & 0.0279611192455985 \tabularnewline
T-Test & 1.29166369883536 \tabularnewline
p-value (2 sided) & 0.201597280337661 \tabularnewline
p-value (1 sided) & 0.100798640168830 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=52443&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]6154.6[/C][C]8246.55[/C][/ROW]
[ROW][C]Biased Variance[/C][C]48428.84[/C][C]208824.2475[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]220.065535693347[/C][C]456.97291768769[/C][/ROW]
[ROW][C]Covariance[/C][C]17100.9016949153[/C][/ROW]
[ROW][C]Correlation[/C][C]0.167215786472445[/C][/ROW]
[ROW][C]Determination[/C][C]0.0279611192455985[/C][/ROW]
[ROW][C]T-Test[/C][C]1.29166369883536[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.201597280337661[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.100798640168830[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=52443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=52443&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
Mean6154.68246.55
Biased Variance48428.84208824.2475
Biased Standard Deviation220.065535693347456.97291768769
Covariance17100.9016949153
Correlation0.167215786472445
Determination0.0279611192455985
T-Test1.29166369883536
p-value (2 sided)0.201597280337661
p-value (1 sided)0.100798640168830
Degrees of Freedom58
Number of Observations60


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')