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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 computationWed, 24 Nov 2010 11:56:14 +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/24/t1290599710193wg0wbtdjrro8.htm/, Retrieved Fri, 26 Apr 2024 21:00:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100009, Retrieved Fri, 26 Apr 2024 21:00:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

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] [happ x conn] [2010-11-12 18:30:46] [9894f466352df31a128e82ec8d720241]
-    D  [Chi-Squared and McNemar Tests] [happ x depress] [2010-11-12 18:40:07] [9894f466352df31a128e82ec8d720241]
-   PD    [Chi-Squared and McNemar Tests] [] [2010-11-24 08:36:43] [07fa8844ca5618cd0482008937d9acea]
-   PD        [Chi-Squared and McNemar Tests] [] [2010-11-24 11:56:14] [ef8aba939446289dd59b403ac33ef077] [Current]
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Dataset

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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 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=100009&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]6 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=100009&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100009&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 time6 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
depressed x enjoying
1234
1054673
217175
31111
40200

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
depressed  x  enjoying
 \tabularnewline
  & 1 & 2 & 3 & 4 \tabularnewline
1 & 0 & 5 & 46 & 73 \tabularnewline
2 & 1 & 7 & 17 & 5 \tabularnewline
3 & 1 & 1 & 1 & 1 \tabularnewline
4 & 0 & 2 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100009&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]depressed  x  enjoying
[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][/ROW]
[C]1[/C][C]0[/C][C]5[/C][C]46[/C][C]73[/C][/ROW]
[C]2[/C][C]1[/C][C]7[/C][C]17[/C][C]5[/C][/ROW]
[C]3[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[C]4[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100009&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100009&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
depressed x enjoying
1234
1054673
217175
31111
40200






Tabulation of Expected Results
depressed x enjoying
1234
11.5511.6249.661.23
20.382.811214.81
30.050.381.61.98
40.020.190.80.99

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
depressed  x  enjoying
 \tabularnewline
  & 1 & 2 & 3 & 4 \tabularnewline
1 & 1.55 & 11.62 & 49.6 & 61.23 \tabularnewline
2 & 0.38 & 2.81 & 12 & 14.81 \tabularnewline
3 & 0.05 & 0.38 & 1.6 & 1.98 \tabularnewline
4 & 0.02 & 0.19 & 0.8 & 0.99 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100009&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]depressed  x  enjoying
[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][/ROW]
[C]1[/C][C]1.55[/C][C]11.62[/C][C]49.6[/C][C]61.23[/C][/ROW]
[C]2[/C][C]0.38[/C][C]2.81[/C][C]12[/C][C]14.81[/C][/ROW]
[C]3[/C][C]0.05[/C][C]0.38[/C][C]1.6[/C][C]1.98[/C][/ROW]
[C]4[/C][C]0.02[/C][C]0.19[/C][C]0.8[/C][C]0.99[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100009&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100009&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
depressed x enjoying
1234
11.5511.6249.661.23
20.382.811214.81
30.050.381.61.98
40.020.190.80.99






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic62.84
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 62.84 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100009&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]62.84[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100009&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100009&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 Statistic62.84
P value0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 5 ; par3 = Exact Pearson Chi-Squared by Simulation ;
Parameters (R input):
par1 = 1 ; par2 = 5 ; 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')