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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared and McNemar Tests
Date of computationTue, 23 Nov 2010 15:53:11 +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/2010/Nov/23/t1290527494164z3mt25bivrba.htm/, Retrieved Wed, 24 Apr 2024 13:02:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=99327, Retrieved Wed, 24 Apr 2024 13:02:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWS3
Estimated Impact128

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [MiniA- Hypothese 1] [2010-11-23 13:22:40] [17d39bb3ec485d4ce196f61215d11ba1]
-         [Chi-Squared and McNemar Tests] [WS3] [2010-11-23 15:53:11] [c2514e24605d0513c6bae17788e1fef3] [Current]
-           [Chi-Squared and McNemar Tests] [ws3 mini case] [2010-11-26 17:38:45] [a2638725f7f7c6bd63902ba17eba666b]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5	3
4	3
4	2
4	2
3	1
4	4
5	2
4	2
3	4
4	5
5	3
4	3
5	2
4	3
4	2
3	3
4	4
4	3
5	2
2	3
4	2
2	2
4	3
4	3
4	2
4	4
4	2
3	3
4	3
4	3
4	1
5	1
3	4
4	3
4	4
4	3
4	3
4	3
3	2
4	2
5	3
4	3
4	4
2	5
4	5
3	3
4	4
4	3
4	3
5	3
2	2
4	3
5	2
4	3
3	2
4	4
4	2
4	2
4	3
4	2
3	3
3	4
3	2
2	2
3	2
3	2
4	2
4	4
4	4
4	4
4	5
3	1
4	3
5	2
4	3
5	5
4	2
4	4
2	2
4	4
4	3
4	3
4	4
4	3
3	2
3	2
4	4
4	2
3	3
4	3
4	1
5	5
5	2
3	2
4	2
5	3
4	3
3	2
4	3
5	3
4	2
5	3
4	2
2	3
3	2
5	4
4	4
5	5
4	4
5	3
3	2
3	2
4	2
3	3
4	4
4	3
4	4
2	4
3	2
5	4
1	3
4	2
4	3
4	3
5	
4	2
5	3
5	5
4	2
4	3
4	3
4	3
4	4
4	3
5	3
3	2
3	1
4	4
4	3
3	3
4	3
3	2
4	3
2	1
4	2
4	5
4	2
4	3
4	2
4	3
5	2
5	3
4	4
4	3
5	4
4	3
5	5
4	1
4	2
3	4
4	2
5	3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99327&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99327&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99327&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.






Tabulation of Results
experience x education
12345
100130
204464
3214996
421929233
516863

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
experience  x  education
 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0 & 0 & 1 & 3 & 0 \tabularnewline
2 & 0 & 4 & 4 & 6 & 4 \tabularnewline
3 & 2 & 14 & 9 & 9 & 6 \tabularnewline
4 & 2 & 19 & 29 & 23 & 3 \tabularnewline
5 & 1 & 6 & 8 & 6 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99327&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]experience  x  education
[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]0[/C][/ROW]
[C]2[/C][C]0[/C][C]4[/C][C]4[/C][C]6[/C][C]4[/C][/ROW]
[C]3[/C][C]2[/C][C]14[/C][C]9[/C][C]9[/C][C]6[/C][/ROW]
[C]4[/C][C]2[/C][C]19[/C][C]29[/C][C]23[/C][C]3[/C][/ROW]
[C]5[/C][C]1[/C][C]6[/C][C]8[/C][C]6[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99327&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99327&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:

Tabulation of Results
experience x education
12345
100130
204464
3214996
421929233
516863






Tabulation of Expected Results
experience x education
12345
10.121.061.261.160.4
20.564.785.675.221.78
31.2310.6212.5911.63.95
42.3520.1723.9322.057.51
50.746.377.566.962.37

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
experience  x  education
 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.12 & 1.06 & 1.26 & 1.16 & 0.4 \tabularnewline
2 & 0.56 & 4.78 & 5.67 & 5.22 & 1.78 \tabularnewline
3 & 1.23 & 10.62 & 12.59 & 11.6 & 3.95 \tabularnewline
4 & 2.35 & 20.17 & 23.93 & 22.05 & 7.51 \tabularnewline
5 & 0.74 & 6.37 & 7.56 & 6.96 & 2.37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99327&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]experience  x  education
[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.12[/C][C]1.06[/C][C]1.26[/C][C]1.16[/C][C]0.4[/C][/ROW]
[C]2[/C][C]0.56[/C][C]4.78[/C][C]5.67[/C][C]5.22[/C][C]1.78[/C][/ROW]
[C]3[/C][C]1.23[/C][C]10.62[/C][C]12.59[/C][C]11.6[/C][C]3.95[/C][/ROW]
[C]4[/C][C]2.35[/C][C]20.17[/C][C]23.93[/C][C]22.05[/C][C]7.51[/C][/ROW]
[C]5[/C][C]0.74[/C][C]6.37[/C][C]7.56[/C][C]6.96[/C][C]2.37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99327&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99327&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
experience x education
12345
10.121.061.261.160.4
20.564.785.675.221.78
31.2310.6212.5911.63.95
42.3520.1723.9322.057.51
50.746.377.566.962.37






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic17.22
P value0.38

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 17.22 \tabularnewline
P value & 0.38 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99327&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]17.22[/C][/ROW]
[ROW][C]P value[/C][C]0.38[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99327&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99327&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic17.22
P value0.38


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3 != 'McNemar Chi-Squared') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')