FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_CompareCorrelations.wasp
Title produced by softwareTesting difference between two correlations
Date of computationWed, 07 May 2025 06:25:54 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2025/May/07/t1746592030ot4adi9bey76d0r.htm/, Retrieved Thu, 27 Aug 2026 08:07:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=320207, Retrieved Thu, 27 Aug 2026 08:07:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact393

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Testing difference between two correlations] [] [2025-05-07 04:25:54] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
96
117
80
104
91
99
127
86
Dataseries Y:
Download CSV
Histogram 
78
92
162
161
181
144
42
134
Dataseries Z:
Download CSV
Histogram 
46
30
35
59
50
40
53
30

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=320207&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=320207&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=320207&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Testing difference between two Pearson Correlations
Pearson Correlation between X and Y-0.72434190377176
Pearson Correlation between X and Z0.32079887323581
Type of testpaired
t-Test for dependent correlations-2.61996058017149
P-value (H0: r(xy) = r(xz))0.0471000025959187

\begin{tabular}{lllllllll}
\hline
Testing difference between two Pearson Correlations \tabularnewline
Pearson Correlation between X and Y & -0.72434190377176 \tabularnewline
Pearson Correlation between X and Z & 0.32079887323581 \tabularnewline
Type of test & paired \tabularnewline
t-Test for dependent correlations & -2.61996058017149 \tabularnewline
P-value (H0: r(xy) = r(xz)) & 0.0471000025959187 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=320207&T=1

[TABLE]
[ROW][C]Testing difference between two Pearson Correlations[/C][/ROW]
[ROW][C]Pearson Correlation between X and Y[/C][C]-0.72434190377176[/C][/ROW]
[ROW][C]Pearson Correlation between X and Z[/C][C]0.32079887323581[/C][/ROW]
[ROW][C]Type of test[/C][C]paired[/C][/ROW]
[ROW][C]t-Test for dependent correlations[/C][C]-2.61996058017149[/C][/ROW]
[ROW][C]P-value (H0: r(xy) = r(xz))[/C][C]0.0471000025959187[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=320207&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=320207&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:

Testing difference between two Pearson Correlations
Pearson Correlation between X and Y-0.72434190377176
Pearson Correlation between X and Z0.32079887323581
Type of testpaired
t-Test for dependent correlations-2.61996058017149
P-value (H0: r(xy) = r(xz))0.0471000025959187


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = unpaired ;
Parameters (R input):
par1 = paired ;
R code (references can be found in the software module):
par1 <- 'paired'
library(psych)
xy <- cor(x,y,use = 'pairwise')
xz <- cor(x,z,use = 'pairwise')
yz <- cor(y,z,use = 'pairwise')
nx <- length(na.omit(x))
ny <- length(na.omit(y))
nz <- length(na.omit(z))
nxy <- min(nx,ny)
nxz <- min(nx,nz)
if(par1=='paired') {
r <- paired.r(xy,xz,yz,n=nxy,n2=nxz)
} else {
r <- paired.r(xy,xz,n=nxy,n2=nxz)
}
print(r)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Testing difference between two Pearson Correlations',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Pearson Correlation between X and Y',header=TRUE)
a<-table.element(a,xy)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Pearson Correlation between X and Z',header=TRUE)
a<-table.element(a,xz)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type of test',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
if(par1=='paired') {
a<-table.row.start(a)
a<-table.element(a,'t-Test for dependent correlations',header=TRUE)
a<-table.element(a,r$t)
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'z-Test for independent correlations',header=TRUE)
a<-table.element(a,r$z)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'P-value (H0: r(xy) = r(xz))',header=TRUE)
a<-table.element(a,r$p)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')