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Author

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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Fri, 12 Nov 2010 07:45:20 +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/t1289547867qs9hv3tutpz68ho.htm/, Retrieved Tue, 30 Apr 2024 20:24:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=93975, Retrieved Tue, 30 Apr 2024 20:24:27 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

134

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

F       [Chi-Squared and McNemar Tests] [] [2010-11-12 07:45:20] [cda497ce08bc921f0aec22acd67c882b] [Current]

Feedback Forum

2010-11-23 17:18:52 [411b43619fc9db329bbcdbf7261c55fb] [reply] 
De student heeft hier een correcte berekening gemaakt. Maar hij zegt dat er een verband is, en dit is niet correct. Het is logisch aangezien de p-waarde hier 78% bedraagt (deze is hoger dan de type 1 fout (5%) die je kan stellen). Wat er hier wel opvalt is dat studenten die zeer connected zijn, ook hoog scoren voor happiness. Deze balk is wel niet gekleurd, dus het kan nog altijd toeval zijn. Mocht er hier een verband geweest zijn, dan zou het een positief verband zijn. Maar voor alle duidelijkheid = hier is er dus geen. 
 
De student had dezelfde berekening ook kunnen doen met de verfijnde oplossing. Daarom geef ik de student mijn berekening mee, om te kunnen vergelijken. (bekijk http://www.freestatistics.org/blog/index.php?v=date/2010/Nov/18/t1290085715qfmthjak603yiel.htm/ voor A/B/C/D) Hier zien we dat de cell count te laag is (sommige waarden lager dan 5), daarom gebruiken we de “Exact Pearson Chi-squared by simulation”. Deze berekening kan je op dezelfde wijze interpreteren als de groffe oplossing (HI/LO). 

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Dataseries X:

Download CSV

Histogram

Boxplots

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

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=93975&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=93975&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93975&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
Connected x Hapiness
	HI	LO
HI	63	34
LO	40	25

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Connected  x  Hapiness \tabularnewline
  & HI & LO \tabularnewline
HI & 63 & 34 \tabularnewline
LO & 40 & 25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93975&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Connected  x  Hapiness[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]63[/C][C]34[/C][/ROW]
[C]LO[/C][C]40[/C][C]25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93975&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93975&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
Connected x Hapiness
	HI	LO
HI	63	34
LO	40	25

Tabulation of Expected Results
Connected x Hapiness
	HI	LO
HI	61.67	35.33
LO	41.33	23.67

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Connected  x  Hapiness \tabularnewline
  & HI & LO \tabularnewline
HI & 61.67 & 35.33 \tabularnewline
LO & 41.33 & 23.67 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93975&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Connected  x  Hapiness[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]61.67[/C][C]35.33[/C][/ROW]
[C]LO[/C][C]41.33[/C][C]23.67[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93975&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93975&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
Connected x Hapiness
	HI	LO
HI	61.67	35.33
LO	41.33	23.67

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic	0.08
Degrees of Freedom	1
P value	0.78

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Chi Square Statistic & 0.08 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.78 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93975&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]0.08[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.78[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93975&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93975&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	0.08
Degrees of Freedom	1
P value	0.78

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