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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 computationWed, 25 Jan 2017 09:54:12 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Jan/25/t1485334481hac87w7qe9cu21i.htm/, Retrieved Tue, 14 May 2024 14:00:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=305859, Retrieved Tue, 14 May 2024 14:00:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2017-01-25 08:54:12] [cf891dd8f76140334edd84f5996aae27] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10.24 6
10.89 7
9 2
12.25 11
13.69 13
7.29 3
12.96 17
12.25 10
14.44 4
11.56 12
13.69 7
12.25 11
7.84 3
14.44 5
18.49 1
10.89 12
12.96 18
12.96 8
10.89 6
7.84 1

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=305859&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=305859&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305859&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
X6 x Score
12345678101112131718
7.2900100000000000
7.8410100000000000
901000000000000
10.2400000100000000
10.8900000110001000
11.5600000000001000
12.2500000000120000
12.9600000001000011
13.6900000010000100
14.4400011000000000
18.4910000000000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline X6 x Score \tabularnewline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 10 & 11 & 12 & 13 & 17 & 18 \tabularnewline 7.29 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 7.84 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 9 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 10.24 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 10.89 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline 11.56 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline 12.25 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 0 & 0 \tabularnewline 12.96 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 1 \tabularnewline 13.69 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline 14.44 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 18.49 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=305859&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]X6 x Score[/C][/ROW] [ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]17[/C][C]18[/C][/ROW] [C]7.29[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]7.84[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]9[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]10.24[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]10.89[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]11.56[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]12.25[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]12.96[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][/ROW] [C]13.69[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]14.44[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]18.49[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=305859&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305859&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
X6 x Score
12345678101112131718
7.2900100000000000
7.8410100000000000
901000000000000
10.2400000100000000
10.8900000110001000
11.5600000000001000
12.2500000000120000
12.9600000001000011
13.6900000010000100
14.4400011000000000
18.4910000000000000






Tabulation of Expected Results
X6 x Score
12345678101112131718
7.290.10.050.10.050.050.10.10.050.050.10.10.050.050.05
7.840.20.10.20.10.10.20.20.10.10.20.20.10.10.1
90.10.050.10.050.050.10.10.050.050.10.10.050.050.05
10.240.10.050.10.050.050.10.10.050.050.10.10.050.050.05
10.890.30.150.30.150.150.30.30.150.150.30.30.150.150.15
11.560.10.050.10.050.050.10.10.050.050.10.10.050.050.05
12.250.30.150.30.150.150.30.30.150.150.30.30.150.150.15
12.960.30.150.30.150.150.30.30.150.150.30.30.150.150.15
13.690.20.10.20.10.10.20.20.10.10.20.20.10.10.1
14.440.20.10.20.10.10.20.20.10.10.20.20.10.10.1
18.490.10.050.10.050.050.10.10.050.050.10.10.050.050.05

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline X6 x Score \tabularnewline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 10 & 11 & 12 & 13 & 17 & 18 \tabularnewline 7.29 & 0.1 & 0.05 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.05 \tabularnewline 7.84 & 0.2 & 0.1 & 0.2 & 0.1 & 0.1 & 0.2 & 0.2 & 0.1 & 0.1 & 0.2 & 0.2 & 0.1 & 0.1 & 0.1 \tabularnewline 9 & 0.1 & 0.05 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.05 \tabularnewline 10.24 & 0.1 & 0.05 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.05 \tabularnewline 10.89 & 0.3 & 0.15 & 0.3 & 0.15 & 0.15 & 0.3 & 0.3 & 0.15 & 0.15 & 0.3 & 0.3 & 0.15 & 0.15 & 0.15 \tabularnewline 11.56 & 0.1 & 0.05 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.05 \tabularnewline 12.25 & 0.3 & 0.15 & 0.3 & 0.15 & 0.15 & 0.3 & 0.3 & 0.15 & 0.15 & 0.3 & 0.3 & 0.15 & 0.15 & 0.15 \tabularnewline 12.96 & 0.3 & 0.15 & 0.3 & 0.15 & 0.15 & 0.3 & 0.3 & 0.15 & 0.15 & 0.3 & 0.3 & 0.15 & 0.15 & 0.15 \tabularnewline 13.69 & 0.2 & 0.1 & 0.2 & 0.1 & 0.1 & 0.2 & 0.2 & 0.1 & 0.1 & 0.2 & 0.2 & 0.1 & 0.1 & 0.1 \tabularnewline 14.44 & 0.2 & 0.1 & 0.2 & 0.1 & 0.1 & 0.2 & 0.2 & 0.1 & 0.1 & 0.2 & 0.2 & 0.1 & 0.1 & 0.1 \tabularnewline 18.49 & 0.1 & 0.05 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.1 & 0.1 & 0.05 & 0.05 & 0.05 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=305859&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]X6 x Score[/C][/ROW] [ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]17[/C][C]18[/C][/ROW] [C]7.29[/C][C]0.1[/C][C]0.05[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW] [C]7.84[/C][C]0.2[/C][C]0.1[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][/ROW] [C]9[/C][C]0.1[/C][C]0.05[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW] [C]10.24[/C][C]0.1[/C][C]0.05[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW] [C]10.89[/C][C]0.3[/C][C]0.15[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.3[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.3[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.15[/C][/ROW] [C]11.56[/C][C]0.1[/C][C]0.05[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW] [C]12.25[/C][C]0.3[/C][C]0.15[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.3[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.3[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.15[/C][/ROW] [C]12.96[/C][C]0.3[/C][C]0.15[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.3[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.3[/C][C]0.3[/C][C]0.15[/C][C]0.15[/C][C]0.15[/C][/ROW] [C]13.69[/C][C]0.2[/C][C]0.1[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][/ROW] [C]14.44[/C][C]0.2[/C][C]0.1[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][/ROW] [C]18.49[/C][C]0.1[/C][C]0.05[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=305859&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305859&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
X6 x Score
12345678101112131718
7.290.10.050.10.050.050.10.10.050.050.10.10.050.050.05
7.840.20.10.20.10.10.20.20.10.10.20.20.10.10.1
90.10.050.10.050.050.10.10.050.050.10.10.050.050.05
10.240.10.050.10.050.050.10.10.050.050.10.10.050.050.05
10.890.30.150.30.150.150.30.30.150.150.30.30.150.150.15
11.560.10.050.10.050.050.10.10.050.050.10.10.050.050.05
12.250.30.150.30.150.150.30.30.150.150.30.30.150.150.15
12.960.30.150.30.150.150.30.30.150.150.30.30.150.150.15
13.690.20.10.20.10.10.20.20.10.10.20.20.10.10.1
14.440.20.10.20.10.10.20.20.10.10.20.20.10.10.1
18.490.10.050.10.050.050.10.10.050.050.10.10.050.050.05






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic135
Degrees of Freedom130
P value0.36

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 135 \tabularnewline
Degrees of Freedom & 130 \tabularnewline
P value & 0.36 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=305859&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]135[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]130[/C][/ROW]
[ROW][C]P value[/C][C]0.36[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=305859&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305859&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 Statistic135
Degrees of Freedom130
P value0.36


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par4 = 4 ;
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')