Jörg Stephan
2011-Aug-08 14:00 UTC
[R] histogram not equal to Kolmogorov-Smirnov test; 3-way-nested Anova (2)
Hello R-Help-Team,
I am doing a 3-way-nestedAnova and a very strange thing occurred. My
"Two-sample Kolmogorov-Smirnov test" (p=0.957) meet the requirement of
normal distribution, BUT if I have a look at the histogram it is
definitely not normally distributed. I never had something like that and
I am very confused. I attached the data and my used code; in case you
are not able to open it or need further information?s please tell me. As
it is my first nested Anova, it would be very nice if you (hopefully)
confirm the used code. Hoping you can help me. Thank you very much in
advance.
J?rg
-------------- next part --------------
genot cage egg surviver
Gudrun A fortyfive 0,955555556
Gudrun A fifteen 1
Gudrun A fifteen 0,933333333
Gudrun A fifteen 0
Gudrun A five 0
Gudrun A five 0,4
Gudrun A five 0,6
Gudrun A five 0,8
Gudrun A five 0,8
Gudrun A five 0,4
Gudrun A five 0,8
Gudrun A five 0,8
Gudrun A five 1
Gudrun B fortyfive 0,822222222
Gudrun B fifteen 0
Gudrun B fifteen 0,933333333
Gudrun B fifteen 0,8
Gudrun B five 0,2
Gudrun B five 0
Gudrun B five 0,6
Gudrun B five 0,6
Gudrun B five 1
Gudrun B five 0
Gudrun B five 0,4
Gudrun B five 1
Gudrun B five 1
Gudrun C fortyfive 1
Gudrun C fifteen 1
Gudrun C fifteen 1
Gudrun C fifteen 1
Gudrun C five 0
Gudrun C five 1
Gudrun C five 0
Gudrun C five 0,6
Gudrun C five 1
Gudrun C five 0,8
Gudrun C five 1
Gudrun C five 1
Gudrun C five 0,6
Gudrun D fortyfive 0,866666667
Gudrun D fifteen 0,866666667
Gudrun D fifteen 0,933333333
Gudrun D fifteen 1
Gudrun D five 1
Gudrun D five 1
Gudrun D five 0,2
Gudrun D five 1
Gudrun D five 1
Gudrun D five 0
Gudrun D five 1
Gudrun D five 1
Gudrun D five 0,2
Gudrun E fortyfive 0,955555556
Gudrun E fifteen 1
Gudrun E fifteen 0,6
Gudrun E fifteen 0,533333333
Gudrun E five 0
Gudrun E five 0
Gudrun E five 1
Gudrun E five 1
Gudrun E five 1
Gudrun E five 0,6
Gudrun E five 1
Gudrun E five 0,6
Gudrun E five 1
Gudrun F fortyfive 1
Gudrun F fifteen 1
Gudrun F fifteen 1
Gudrun F fifteen 1
Gudrun F five 1
Gudrun F five 1
Gudrun F five 0
Gudrun F five 0
Gudrun F five 1
Gudrun F five 0,2
Gudrun F five 0
Gudrun F five 1
Gudrun F five 1
Gudrun G fortyfive 1
Gudrun G fifteen 0,866666667
Gudrun G fifteen 0,933333333
Gudrun G fifteen 0,8
Gudrun G five 0
Gudrun G five 0
Gudrun G five 1
Gudrun G five 1
Gudrun G five 1
Gudrun G five 0
Gudrun G five 1
Gudrun G five 0,6
Gudrun G five 1
Gudrun H fortyfive 0,577777778
Gudrun H fifteen 0,4
Gudrun H fifteen 0,866666667
Gudrun H fifteen 0,066666667
Gudrun H five 0
Gudrun H five 0
Gudrun H five 0,8
Gudrun H five 0,2
Gudrun H five 0,2
Gudrun H five 0
Gudrun H five 0
Gudrun H five 0
Gudrun H five 1
Gudrun I fortyfive 0,488888889
Gudrun I fifteen 0,933333333
Gudrun I fifteen 0,933333333
Gudrun I fifteen 0,8
Gudrun I five 0
Gudrun I five 0
Gudrun I five 0
Gudrun I five 0
Gudrun I five 0
Gudrun I five 0
Gudrun I five 1
Gudrun I five 0
Gudrun I five 0,6
Gudrun J fortyfive 1
Gudrun J fifteen 1
Gudrun J fifteen 0,666666667
Gudrun J fifteen 0,8
Gudrun J five 1
Gudrun J five 1
Gudrun J five 1
Gudrun J five 0
Gudrun J five 0,8
Gudrun J five 0,8
Gudrun J five 1
Gudrun J five 0,4
Gudrun K fortyfive 0,777777778
Gudrun K fifteen 0
Gudrun K fifteen 1
Gudrun K fifteen 0,266666667
Gudrun K five 0
Gudrun K five 0
Gudrun K five 0,2
Gudrun K five 0
Gudrun K five 1
Gudrun K five 0,8
Gudrun K five 0,4
Gudrun K five 0,2
Gudrun K five 0
Loden A fortyfive 1
Loden A fifteen 0,866666667
Loden A fifteen 1
Loden A fifteen 1
Loden A five 0,8
Loden A five 1
Loden A five 1
Loden A five 1
Loden A five 1
Loden A five 1
Loden A five 1
Loden A five 1
Loden A five 1
Loden B fortyfive 0,955555556
Loden B fifteen 1
Loden B fifteen 0,333333333
Loden B five 0
Loden B five 0
Loden B five 1
Loden B five 0,8
Loden B five 1
Loden B five 1
Loden B five 0,2
Loden B five 0,2
Loden B five 0
Loden C fortyfive 0,933333333
Loden C fifteen 0,8
Loden C fifteen 0,333333333
Loden C fifteen 0,066666667
Loden C five 0
Loden C five 0,6
Loden C five 0
Loden C five 0,4
Loden C five 0,2
Loden C five 0,8
Loden C five 0,2
Loden C five 0,4
Loden C five 0,4
Loden D fortyfive 0,911111111
Loden D fifteen 1
Loden D fifteen 0,933333333
Loden D fifteen 0,266666667
Loden D five 0
Loden D five 0,2
Loden D five 0,4
Loden D five 0
Loden D five 0
Loden D five 0,4
Loden D five 0
Loden D five 1
Loden D five 1
Loden E fortyfive 0,933333333
Loden E fifteen 0,133333333
Loden E fifteen 0,866666667
Loden E fifteen 0,866666667
Loden E five 0
Loden E five 0
Loden E five 0
Loden E five 1
Loden E five 0
Loden E five 1
Loden E five 0
Loden E five 1
Loden E five 0,8
Loden F fortyfive 0,866666667
Loden F fifteen 0,733333333
Loden F fifteen 0,733333333
Loden F fifteen 0,2
Loden F five 0,2
Loden F five 0,8
Loden F five 0,2
Loden F five 0,8
Loden F five 0
Loden F five 0
Loden F five 0
Loden F five 0
Loden G fortyfive 0,777777778
Loden G fifteen 0
Loden G fifteen 0
Loden G fifteen 0,866666667
Loden G five 1
Loden G five 1
Loden G five 0,8
Loden G five 1
Loden G five 1
Loden G five 0,8
Loden G five 1
Loden G five 1
Loden G five 0
Loden H fortyfive 0,622222222
Loden H fifteen 0,2
Loden H fifteen 0
Loden H five 0,2
Loden H five 0,8
Loden H five 0
Loden H five 0,4
Loden H five 0,6
Loden H five 0
Loden H five 1
Loden H five 0
Loden H five 1
Loden I fortyfive 0,977777778
Loden I fifteen 0,733333333
Loden I fifteen 1
Loden I fifteen 1
Loden I five 0
Loden I five 0,6
Loden I five 0
Loden I five 1
Loden I five 1
Loden I five 1
Loden I five 1
Loden I five 1
Loden I five 1
Loden J fortyfive 1
Loden J fifteen 0,533333333
Loden J fifteen 1
Loden J fifteen 0,4
Loden J five 1
Loden J five 1
Loden J five 1
Loden J five 0,8
Loden J five 0,6
Loden J five 1
Loden J five 0
Loden J five 0
Loden J five 0
twentyone A fortyfive 0,311111111
twentyone A fifteen 0,6
twentyone A fifteen 0,933333333
twentyone A fifteen 0,733333333
twentyone A five 0,8
twentyone A five 0
twentyone A five 1
twentyone A five 0,6
twentyone A five 0,6
twentyone A five 0
twentyone A five 1
twentyone A five 0
twentyone A five 0
twentyone B fortyfive 0,933333333
twentyone B fifteen 1
twentyone B fifteen 1
twentyone B fifteen 0,933333333
twentyone B five 0,4
twentyone B five 0,8
twentyone B five 0
twentyone B five 0,2
twentyone B five 0
twentyone B five 0
twentyone B five 0,4
twentyone B five 0,4
twentyone B five 1
twentyone C fortyfive 0,844444444
twentyone C fifteen 1
twentyone C fifteen 1
twentyone C fifteen 0,933333333
twentyone C five 0,2
twentyone C five 0
twentyone C five 0,8
twentyone C five 1
twentyone C five 0,8
twentyone C five 1
twentyone C five 0,8
twentyone C five 0,6
twentyone C five 0
twentyone D fortyfive 0,511111111
twentyone D fifteen 1
twentyone D fifteen 0,2
twentyone D fifteen 0,333333333
twentyone D five 0,6
twentyone D five 0,2
twentyone D five 0
twentyone D five 0
twentyone D five 0
twentyone D five 0,2
twentyone D five 0,4
twentyone D five 0
twentyone D five 0
twentyone E fortyfive 0,688888889
twentyone E fifteen 0,8
twentyone E fifteen 0
twentyone E fifteen 0,6
twentyone E five 0,8
twentyone E five 1
twentyone E five 0,6
twentyone E five 0
twentyone E five 1
twentyone E five 0
twentyone E five 0
twentyone E five 1
twentyone E five 0
twentyone F fortyfive 0,755555556
twentyone F fifteen 0,133333333
twentyone F fifteen 0,866666667
twentyone F fifteen 1
twentyone F five 0
twentyone F five 1
twentyone F five 1
twentyone F five 0
twentyone F five 0,8
twentyone F five 0
twentyone F five 1
twentyone F five 1
twentyone G fortyfive 0,311111111
twentyone G fifteen 0
twentyone G fifteen 0,933333333
twentyone G fifteen 1
twentyone G five 0,8
twentyone G five 0,2
twentyone G five 0
twentyone G five 0
twentyone G five 0
twentyone G five 0,2
twentyone G five 0,6
twentyone G five 0,2
twentyone G five 1
twentyone H fortyfive 0,844444444
twentyone H fifteen 0,066666667
twentyone H fifteen 0,866666667
twentyone H fifteen 0,8
twentyone H five 0,2
twentyone H five 0,6
twentyone H five 0
twentyone H five 0
twentyone H five 0,6
twentyone H five 1
twentyone H five 0
twentyone H five 0
twentyone H five 0,6
twentyone I fortyfive 0,6
twentyone I fifteen 0,533333333
twentyone I fifteen 0,533333333
twentyone I fifteen 0,666666667
twentyone I five 0
twentyone I five 0,2
twentyone I five 0
twentyone I five 0
twentyone I five 0
twentyone I five 0,4
twentyone I five 0,2
twentyone I five 1
twentyone J fortyfive 0,311111111
twentyone J fifteen 0,733333333
twentyone J fifteen 0,866666667
twentyone J fifteen 0,666666667
twentyone J five 0
twentyone J five 0,8
twentyone J five 0,6
twentyone J five 1
twentyone J five 0,6
twentyone J five 0
twentyone J five 0,2
twentyone J five 0
twentyone J five 0
twentyone K fortyfive 0,733333333
twentyone K fifteen 0,8
twentyone K fifteen 0
twentyone K fifteen 0,266666667
twentyone K five 0
twentyone K five 0
twentyone K five 0
twentyone K five 0
twentyone K five 0,2
twentyone K five 1
twentyone K five 0,2
twentyone K five 0
twentyone K five 0,4
eightythree A fortyfive 1
eightythree A fifteen 0,933333333
eightythree A fifteen 1
eightythree A fifteen 0,933333333
eightythree A five 0,4
eightythree A five 1
eightythree A five 1
eightythree A five 1
eightythree A five 1
eightythree A five 1
eightythree A five 0,8
eightythree A five 0,8
eightythree A five 1
eightythree B fortyfive 1
eightythree B fifteen 0,8
eightythree B fifteen 1
eightythree B fifteen 0,733333333
eightythree B five 0
eightythree B five 0,6
eightythree B five 0,8
eightythree B five 0
eightythree B five 0
eightythree B five 0
eightythree B five 0,4
eightythree B five 0
eightythree B five 1
eightythree C fortyfive 0,644444444
eightythree C fifteen 0,8
eightythree C fifteen 0,733333333
eightythree C fifteen 0
eightythree C five 0,4
eightythree C five 0
eightythree C five 0
eightythree C five 0
eightythree C five 0
eightythree C five 0
eightythree C five 0
eightythree C five 0
eightythree C five 1
eightythree D fortyfive 0,866666667
eightythree D fifteen 1
eightythree D fifteen 0,133333333
eightythree D five 0,6
eightythree D five 0,2
eightythree D five 0
eightythree D five 0
eightythree D five 0
eightythree D five 0
eightythree D five 0
eightythree D five 1
eightythree D five 0
eightythree E fortyfive 0,644444444
eightythree E fifteen 0,6
eightythree E fifteen 0,333333333
eightythree E fifteen 1
eightythree E five 0
eightythree E five 0
eightythree E five 0,6
eightythree E five 1
eightythree E five 1
eightythree E five 0
eightythree E five 0,6
eightythree E five 0
eightythree E five 0
eightythree F fortyfive 1
eightythree F fifteen 0,933333333
eightythree F fifteen 0,333333333
eightythree F fifteen 0,6
eightythree F five 0
eightythree F five 0,4
eightythree F five 0
eightythree F five 0
eightythree F five 0
eightythree F five 0,8
eightythree F five 0
eightythree F five 0
eightythree F five 0
eightythree G fortyfive 0,155555556
eightythree G fifteen 0,066666667
eightythree G fifteen 0,066666667
eightythree G fifteen 0,466666667
eightythree G five 0
eightythree G five 0,6
eightythree G five 0
eightythree G five 0,4
eightythree G five 0,4
eightythree G five 0
eightythree G five 0
eightythree G five 0
eightythree H fortyfive 0,666666667
eightythree H fifteen 0,666666667
eightythree H fifteen 0,133333333
eightythree H fifteen 0,533333333
eightythree H five 0
eightythree H five 0
eightythree H five 0,4
eightythree H five 0,4
eightythree H five 0
eightythree H five 0
eightythree H five 0,6
eightythree H five 1
eightythree H five 0
eightythree I fortyfive 0,533333333
eightythree I fifteen 0,066666667
eightythree I fifteen 0
eightythree I fifteen 1
eightythree I five 0
eightythree I five 0
eightythree I five 1
eightythree I five 0
eightythree I five 0
eightythree I five 0
eightythree I five 1
eightythree I five 0
eightythree I five 1
eightythree J fortyfive 0,888888889
eightythree J fifteen 0,466666667
eightythree J fifteen 0,8
eightythree J fifteen 0,533333333
eightythree J five 0,8
eightythree J five 0,8
eightythree J five 1
eightythree J five 1
eightythree J five 0,6
eightythree J five 1
eightythree J five 0
eightythree J five 0
eightythree J five 0
eightythree K fortyfive 0,955555556
eightythree K fifteen 0,2
eightythree K fifteen 0,066666667
eightythree K fifteen 0,933333333
eightythree K five 0
eightythree K five 1
eightythree K five 0
eightythree K five 1
eightythree K five 0
eightythree K five 0,8
eightythree K five 0
eightythree K five 1
code:
par(mfrow=c(2, 3),mar=c(5, 5, 3, 1))
hist(surviver,cex.lab=1.5,ylab="Frequenz",main="Histogramm")
boxplot(surviver)
title("Boxplot",ylab="Mittelwert",cex.lab=1.5)
qqnorm(surviver,cex.lab=1.5,ylab="gemessene
Quantilen",xlab="theoretische Quantilen",main="normal
Q-Q-Plot")
qqline(surviver)
fm<-lm(surviver~genot*cage/egg)
summary(fm)
ANOVA<-aov(fm)
summary(ANOVA)
ANOVA
Residuen<-resid(fm)
ks.test(Residuen,mean(Residuen),sd(Residuen))
Short explanation:
As the three independent variables ?fifteen? (15 eggs) and the
nine ?five? (5 eggs) are pseudo-replication within one cage (plant individual),
the ?egg? is nested within the ?cage?, respectively.
David Winsemius
2011-Aug-08 15:42 UTC
[R] histogram not equal to Kolmogorov-Smirnov test; 3-way-nested Anova (2)
On Aug 8, 2011, at 10:00 AM, J?rg Stephan wrote:> Hello R-Help-Team, > > I am doing a 3-way-nestedAnova and a very strange thing occurred. My > "Two-sample Kolmogorov-Smirnov test" (p=0.957) meet the requirement > of normal distribution, BUT if I have a look at the histogram it is > definitely not normally distributed. I never had something like that > and I am very confused. I attached the data and my used code; in > case you are not able to open it or need further information?s > please tell me. As it is my first nested Anova, it would be very > nice if you (hopefully) confirm the used code. Hoping you can help > me. Thank you very much in advance.Is this homework? Homework submissions are discouraged on this list. Looking at marginal distributions and then making inferences about residual seems like a student error. -- David Winsemius, MD West Hartford, CT
Dennis Murphy
2011-Aug-08 19:10 UTC
[R] histogram not equal to Kolmogorov-Smirnov test; 3-way-nested Anova (2)
Hi: What is the connection between genot and cage? What is the purpose of the levels fifteen, nine and fortyfive in eggs? Are these the numbers of eggs per some type of batch whose total is 45? Dennis On Mon, Aug 8, 2011 at 7:00 AM, J?rg Stephan <jogstephan at googlemail.com> wrote:> Hello R-Help-Team, > > I am doing a 3-way-nestedAnova and a very strange thing occurred. My > "Two-sample Kolmogorov-Smirnov test" (p=0.957) meet the requirement of > normal distribution, BUT if I have a look at the histogram it is definitely > not normally distributed. I never had something like that and I am very > confused. I attached the data and my used code; in case you are not able to > open it or need further information?s please tell me. As it is my first > nested Anova, it would be very nice if you (hopefully) confirm the used > code. Hoping you can help me. Thank you very much in advance. > > J?rg > > > ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. > >