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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Sun, 14 Dec 2014 20:53:35 +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/2014/Dec/14/t1418590546cc008pokkato7nf.htm/, Retrieved Sun, 12 May 2024 23:05:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267871, Retrieved Sun, 12 May 2024 23:05:33 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

108

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Explorative Data Analysis] [Monthly US soldie...] [2010-11-02 12:07:39] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [Soldiers] [2010-11-30 14:03:31] [b98453cac15ba1066b407e146608df68]
- RM      [Classical Decomposition] [WS8 CD] [2014-11-19 16:56:27] [46c7ebd23dbdec306a09830d8b7528e7]
- RMPD        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [P chi AMSA CONFST...] [2014-12-14 20:53:35] [9772ee27deeac3d50cc1fb84835cd7d6] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267871&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267871&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267871&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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
AMS.A x CONFSTATTOT
	'A'	'B'	'C'	'D'
A	5	16	15	31
B	3	14	19	9
C	6	12	11	9
D	24	36	37	32

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
AMS.A  x  CONFSTATTOT \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 5 & 16 & 15 & 31 \tabularnewline
B & 3 & 14 & 19 & 9 \tabularnewline
C & 6 & 12 & 11 & 9 \tabularnewline
D & 24 & 36 & 37 & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267871&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]AMS.A  x  CONFSTATTOT[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]5[/C][C]16[/C][C]15[/C][C]31[/C][/ROW]
[C]B[/C][C]3[/C][C]14[/C][C]19[/C][C]9[/C][/ROW]
[C]C[/C][C]6[/C][C]12[/C][C]11[/C][C]9[/C][/ROW]
[C]D[/C][C]24[/C][C]36[/C][C]37[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267871&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267871&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
AMS.A x CONFSTATTOT
	'A'	'B'	'C'	'D'
A	5	16	15	31
B	3	14	19	9
C	6	12	11	9
D	24	36	37	32

Tabulation of Expected Results
AMS.A x CONFSTATTOT
	'A'	'B'	'C'	'D'
A	9.13	18.73	19.69	19.45
B	6.13	12.58	13.23	13.06
C	5.18	10.62	11.17	11.03
D	17.57	36.06	37.91	37.45

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
AMS.A  x  CONFSTATTOT \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 9.13 & 18.73 & 19.69 & 19.45 \tabularnewline
B & 6.13 & 12.58 & 13.23 & 13.06 \tabularnewline
C & 5.18 & 10.62 & 11.17 & 11.03 \tabularnewline
D & 17.57 & 36.06 & 37.91 & 37.45 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267871&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]AMS.A  x  CONFSTATTOT[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]9.13[/C][C]18.73[/C][C]19.69[/C][C]19.45[/C][/ROW]
[C]B[/C][C]6.13[/C][C]12.58[/C][C]13.23[/C][C]13.06[/C][/ROW]
[C]C[/C][C]5.18[/C][C]10.62[/C][C]11.17[/C][C]11.03[/C][/ROW]
[C]D[/C][C]17.57[/C][C]36.06[/C][C]37.91[/C][C]37.45[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267871&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267871&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
AMS.A x CONFSTATTOT
	'A'	'B'	'C'	'D'
A	9.13	18.73	19.69	19.45
B	6.13	12.58	13.23	13.06
C	5.18	10.62	11.17	11.03
D	17.57	36.06	37.91	37.45

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	19.64
Degrees of Freedom	9
P value	0.02

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 19.64 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267871&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]19.64[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267871&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267871&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
Pearson Chi Square Statistic	19.64
Degrees of Freedom	9
P value	0.02

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 8 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;

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=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
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)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
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