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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 Test, McNemar Test, and Fisher Exact Test
Date of computationSun, 07 Dec 2014 16:16:47 +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/2014/Dec/07/t14179690229c33ho024rfgz5y.htm/, Retrieved Fri, 01 Nov 2024 00:06:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263844, Retrieved Fri, 01 Nov 2024 00:06:53 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [] [2013-11-04 07:18:26] [0307e7a6407eb638caabc417e3a6b260]
- RMPD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-07 16:16:47] [bcb5b2244e18c223160d6809eb45aeed] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0 7
0 5
0 8
0 8
0 5
0 4
0 4
0 11
0 5
0 22
0 4
0 4
1 4
0 5
1 4
0 16
0 5
0 6
0 5
0 4
0 4
0 4
0 7
0 4
0 8
0 7
0 6
0 5
0 8
0 8
0 4
0 7
0 4
0 13
0 4
0 4
0 4
0 4
0 7
0 5
0 4
0 5
0 12
1 8
0 4
1 4
1 8
1 5
0 4
0 4
0 7
1 5
0 13
0 4
0 4
0 4
1 6
0 4
1 4
0 4
0 4
0 4
1 5
1 6
1 4
0 4
0 4
0 6
1 9
0 5
0 6
0 13
0 4
0 7
0 5
1 4
0 4
0 4
1 6
1 6
1 8
0 6
0 5
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1 6
1 4
1 9
0 4
1 4
1 4
0 5
1 4
0 4
1 4
0 5
1 5
0 8
0 4
1 4
1 9
1 4
0 4
1 4
0 4
1 4
0 4
1 4
1 4
1 4
0 4
1 4
0 4
0 4
1 5
0 8
1 7
0 4
1 4
1 4
1 5
1 5
0 6
0 12
0 5
0 9
0 12
0 4
0 16
1 4
1 5
1 4
0 4
0 6
1 4
0 4
0 5
1 6
0 5
1 6
0 4
0 4
1 7
0 9
1 5
1 5
0 4
0 4
0 12
1 4
1 6
1 9
0 4
0 5
1 4
1 4
1 4
1 4
1 4
1 11
0 4
0 6
1 4
0 5
1 4
0 4
0 4
1 7
1 9
0 5
0 14
0 4
0 4
1 4
1 5
1 4
1 4
1 9
1 4
1 4
1 10
0 4
1 4
0 6
0 4
1 9
0 5
0 4
0 5
1 14
1 9
1 4
1 4
0 17
0 4
0 5
1 9
1 7
1 4
1 5
1 7
0 10
0 5
0 4
1 8
1 4
1 4
1 6
0 5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263844&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263844&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263844&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
CourseN x AMS.A
4567891011121314161722
05825977211431211
143129541011001000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline CourseN x AMS.A \tabularnewline & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 16 & 17 & 22 \tabularnewline 0 & 58 & 25 & 9 & 7 & 7 & 2 & 1 & 1 & 4 & 3 & 1 & 2 & 1 & 1 \tabularnewline 1 & 43 & 12 & 9 & 5 & 4 & 10 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=263844&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]CourseN x AMS.A[/C][/ROW] [ROW][C] [/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]16[/C][C]17[/C][C]22[/C][/ROW] [C]0[/C][C]58[/C][C]25[/C][C]9[/C][C]7[/C][C]7[/C][C]2[/C][C]1[/C][C]1[/C][C]4[/C][C]3[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][/ROW] [C]1[/C][C]43[/C][C]12[/C][C]9[/C][C]5[/C][C]4[/C][C]10[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=263844&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263844&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
CourseN x AMS.A
4567891011121314161722
05825977211431211
143129541011001000






Tabulation of Expected Results
CourseN x AMS.A
4567891011121314161722
059.2421.710.567.046.457.041.171.172.351.761.171.170.590.59
141.7615.37.444.964.554.960.830.831.651.240.830.830.410.41

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline CourseN x AMS.A \tabularnewline & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 16 & 17 & 22 \tabularnewline 0 & 59.24 & 21.7 & 10.56 & 7.04 & 6.45 & 7.04 & 1.17 & 1.17 & 2.35 & 1.76 & 1.17 & 1.17 & 0.59 & 0.59 \tabularnewline 1 & 41.76 & 15.3 & 7.44 & 4.96 & 4.55 & 4.96 & 0.83 & 0.83 & 1.65 & 1.24 & 0.83 & 0.83 & 0.41 & 0.41 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=263844&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]CourseN x AMS.A[/C][/ROW] [ROW][C] [/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]16[/C][C]17[/C][C]22[/C][/ROW] [C]0[/C][C]59.24[/C][C]21.7[/C][C]10.56[/C][C]7.04[/C][C]6.45[/C][C]7.04[/C][C]1.17[/C][C]1.17[/C][C]2.35[/C][C]1.76[/C][C]1.17[/C][C]1.17[/C][C]0.59[/C][C]0.59[/C][/ROW] [C]1[/C][C]41.76[/C][C]15.3[/C][C]7.44[/C][C]4.96[/C][C]4.55[/C][C]4.96[/C][C]0.83[/C][C]0.83[/C][C]1.65[/C][C]1.24[/C][C]0.83[/C][C]0.83[/C][C]0.41[/C][C]0.41[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=263844&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263844&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
CourseN x AMS.A
4567891011121314161722
059.2421.710.567.046.457.041.171.172.351.761.171.170.590.59
141.7615.37.444.964.554.960.830.831.651.240.830.830.410.41






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic18.61
Degrees of Freedom13
P value0.14

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 18.61 \tabularnewline
Degrees of Freedom & 13 \tabularnewline
P value & 0.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263844&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]18.61[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]13[/C][/ROW]
[ROW][C]P value[/C][C]0.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263844&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263844&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
Pearson Chi Square Statistic18.61
Degrees of Freedom13
P value0.14


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; 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')