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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Fri, 12 Nov 2010 18:48:14 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/12/t1289587595fbphnegozm2piy4.htm/, Retrieved Fri, 28 Nov 2025 18:40:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94279, Retrieved Fri, 28 Nov 2025 18:40:26 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

530

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]
-    D      [Chi-Squared and McNemar Tests] [happ x sep] [2010-11-12 18:48:14] [5398da98f4f83c6a353e4d3806d4bcaa] [Current]
-    D        [Chi-Squared and McNemar Tests] [depr x conn] [2010-11-12 18:54:32] [9894f466352df31a128e82ec8d720241] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-24 08:54:25] [07fa8844ca5618cd0482008937d9acea] 
-                 [Chi-Squared and McNemar Tests] [workshop 3] [2010-11-26 13:57:50] [960f506a46b790b06fab7ca57984a121] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-24 10:34:42] [42a441ca3193af442aa2201743dfb347] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [depression and co...] [2011-11-17 14:50:42] [ca5872d1d4d784184b94263c274137e3] 
- R  D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [depression and se...] [2011-11-17 14:55:12] [ca5872d1d4d784184b94263c274137e3] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-25 13:40:29] [b07cd1964830aab808142229b1166ece] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-25 15:25:57] [2e1e44f0ae3cb9513dc28781dfdb387b] 
- RM              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-15 20:41:46] [74be16979710d4c4e7c6647856088456] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Depression and co...] [2011-11-16 13:03:54] [a90f9476280cfbc76b67d22532268624] 
-    D              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-17 13:36:50] [a90f9476280cfbc76b67d22532268624] 
- RM D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Connected and sep...] [2011-11-16 13:08:08] [a90f9476280cfbc76b67d22532268624] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-16 14:32:42] [63813c3109753b730d344072266dee79] 
- R  D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-16 14:37:06] [63813c3109753b730d344072266dee79] 
- R  D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-16 14:44:23] [63813c3109753b730d344072266dee79] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared Test:...] [2011-11-16 15:25:53] [59720598bc822822e6b5d0c431ef1d7f] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-17 15:13:27] [36a3a57407ee290845630953d646934e] 
- RM              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Depression x Conn...] [2011-11-17 20:11:44] [456cd98d071701b5f4c3a71c54fae48b] 
-    D        [Chi-Squared and McNemar Tests] [depr x sep] [2010-11-12 18:57:57] [9894f466352df31a128e82ec8d720241] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-24 10:37:01] [42a441ca3193af442aa2201743dfb347] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-25 13:43:55] [b07cd1964830aab808142229b1166ece] 
-               [Chi-Squared and McNemar Tests] [] [2010-11-25 15:33:03] [2e1e44f0ae3cb9513dc28781dfdb387b] 
- RM              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-15 20:44:49] [74be16979710d4c4e7c6647856088456] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared Test:...] [2011-11-16 15:27:56] [59720598bc822822e6b5d0c431ef1d7f] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-17 15:14:35] [36a3a57407ee290845630953d646934e] 
- R               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Depression x Sepa...] [2011-11-17 20:15:02] [456cd98d071701b5f4c3a71c54fae48b] 
-             [Chi-Squared and McNemar Tests] [] [2010-11-24 08:52:28] [07fa8844ca5618cd0482008937d9acea] 
-               [Chi-Squared and McNemar Tests] [workshop 3] [2010-11-26 13:49:10] [960f506a46b790b06fab7ca57984a121] 
-             [Chi-Squared and McNemar Tests] [] [2010-11-24 10:31:08] [42a441ca3193af442aa2201743dfb347] 
-             [Chi-Squared and McNemar Tests] [] [2010-11-25 13:38:09] [b07cd1964830aab808142229b1166ece] 
-             [Chi-Squared and McNemar Tests] [] [2010-11-25 15:22:57] [2e1e44f0ae3cb9513dc28781dfdb387b] 
-             [Chi-Squared and McNemar Tests] [] [2010-11-25 15:30:16] [2e1e44f0ae3cb9513dc28781dfdb387b] 
- RM            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-15 20:33:36] [74be16979710d4c4e7c6647856088456] 
- R             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [happiness and sep...] [2011-11-16 12:57:46] [a90f9476280cfbc76b67d22532268624] 
- R             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-16 13:57:31] [63813c3109753b730d344072266dee79] 
- R             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared Test:...] [2011-11-16 15:18:48] [59720598bc822822e6b5d0c431ef1d7f] 
- R             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-17 15:11:01] [36a3a57407ee290845630953d646934e] 
- R             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Happiness x Separate] [2011-11-17 20:05:15] [456cd98d071701b5f4c3a71c54fae48b] 
- R           [Chi-Squared and McNemar Tests] [Happiness vs sepa...] [2010-11-25 15:42:29] [5b90046bcdf0f277a2c54de2210570b9] 

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Dataseries X:

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Histogram

Boxplots

'HI'	'HI'
'HI'	'LO'
'LO'	'HI'
'LO'	'LO'
'HI'	'HI'
'HI'	'LO'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'HI'	'HI'
'LO'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'HI'	'LO'
'LO'	'LO'
'HI'	'HI'
'LO'	'HI'
'HI'	'LO'
'LO'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'LO'	'LO'
'HI'	'LO'
'LO'	'LO'
'HI'	'LO'
'HI'	'HI'
'HI'	'LO'
'HI'	'LO'
'LO'	'LO'
'HI'	'LO'
'HI'	'LO'
'LO'	'LO'
'HI'	'LO'
'HI'	'LO'
'HI'	'LO'
'LO'	'LO'
'LO'	'LO'
'LO'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'LO'	'LO'
'HI'	'HI'
'HI'	'LO'
'LO'	'LO'
'LO'	'HI'
'LO'	'LO'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'LO'	'HI'
'LO'	'HI'
'LO'	'LO'
'LO'	'HI'
'LO'	'HI'
'HI'	'HI'
'HI'	'LO'
'LO'	'HI'
'LO'	'HI'
'LO'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'LO'	'LO'
'LO'	'LO'
'HI'	'HI'
'LO'	'LO'
'HI'	'LO'
'LO'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'LO'	'LO'
'LO'	'LO'
'HI'	'HI'
'LO'	'LO'
'HI'	'HI'
'HI'	'LO'
'LO'	'LO'
'HI'	'HI'
'LO'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'LO'	'HI'
'HI'	'HI'
'LO'	'LO'
'HI'	'HI'
'LO'	'LO'
'HI'	'HI'
'HI'	'HI'
'LO'	'HI'
'LO'	'HI'
'HI'	'HI'
'LO'	'LO'
'LO'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'LO'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'LO'	'LO'
'HI'	'LO'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'LO'	'LO'
'LO'	'LO'
'HI'	'HI'
'HI'	'LO'
'HI'	'HI'
'HI'	'LO'
'LO'	'LO'
'HI'	'HI'
'LO'	'HI'
'HI'	'HI'
'LO'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'HI'
'HI'	'LO'
'HI'	'LO'
'HI'	'LO'
'LO'	'HI'
'LO'	'LO'
'LO'	'LO'
'HI'	'HI'
'LO'	'HI'
'HI'	'HI'
'LO'	'HI'
'LO'	'HI'
'LO'	'LO'
'LO'	'LO'
'HI'	'HI'
'HI'	'HI'
'LO'	'LO'
'LO'	'HI'
'LO'	'HI'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94279&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94279&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94279&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Tabulation of Results
Happ x Sep
	HI	LO
HI	65	38
LO	25	34

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happ  x  Sep \tabularnewline
  & HI & LO \tabularnewline
HI & 65 & 38 \tabularnewline
LO & 25 & 34 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94279&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happ  x  Sep[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]65[/C][C]38[/C][/ROW]
[C]LO[/C][C]25[/C][C]34[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94279&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94279&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
Happ x Sep
	HI	LO
HI	65	38
LO	25	34

Tabulation of Expected Results
Happ x Sep
	HI	LO
HI	57.22	45.78
LO	32.78	26.22

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happ  x  Sep \tabularnewline
  & HI & LO \tabularnewline
HI & 57.22 & 45.78 \tabularnewline
LO & 32.78 & 26.22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94279&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happ  x  Sep[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]57.22[/C][C]45.78[/C][/ROW]
[C]LO[/C][C]32.78[/C][C]26.22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94279&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94279&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
Happ x Sep
	HI	LO
HI	57.22	45.78
LO	32.78	26.22

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic	5.72
Degrees of Freedom	1
P value	0.02

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Chi Square Statistic & 5.72 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94279&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with Yates' continuity correction[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]5.72[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94279&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94279&T=3

As an alternative you can also use a QR Code:

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

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic	5.72
Degrees of Freedom	1
P value	0.02

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code