Rによるデータの解析方法
チョウ　アナン(page47-61)

    dbinom(59000,1000000,0.05885575)
   
    dbinom(1,size=1000000,prob=0.0000082)
    
    dbinom(1,1000000,0.0000082)
    
    dbinom(0,1000000,0.0000082)+dbinom(1,1000000,0.0000082)
    
    sum(dbinom(0:1,1000000,0.0000082))
    
    pbinom(1,1000000,0.0000082)
    
    1-pbinom(381,1000000,0.0000082)
   
    n=1000
    p=0.05885575
    frequencies=seq(25,95,by=1)
    probabilities=dbinom(frequencies,n,p)
    plot(frequencies,probabilities,type="h",xlab="frequencies",ylab="probability of frequency")
    
    s=500
    n=1000000
    p=0.0000082
    x=xtabs(~rbinom(s,n,p))/s
    x
    plot(as.numeric(names(x)),x,type="h",xlim=c(0,30),xlab="frequency",ylab="sample probability of frequency")

    pbinom(4,size=10,prob=0.5)
 
    qbinom(0.3769531,size=10,prob=0.5)

    havelaar$Frequency
    n=1000
    p=mean(havelaar$Frequency/n)
    qnts=seq(0.005,0.995,by=0.01)
    plot(qbinom(qnts,n,p),quantile(havelaar$Frequency,qnts),xlab=paste("quantiles of (",n, ",",round(p,4), ")-binomial",sep=""),ylab="frequencies")

    havelaar.tab=xtab(~havelaar$Frequency)
    havelaar.tab

    havelaar.probs=xtabs(~havelaar$Frequency)/nrow(havelaar)
    round(havelaar.probs,3)

    sum(havelaar.probs)

    plot(as.numeric(names(havelaar.probs)),havelaar.probs,xlim=c(0,40),type="h",xlab="counts",ylab="relative frequency")+mtext("observed",3,1)

    n=1000
    p=mean(havelaar$Frequency/n)
    p
    counts=0:40
    plot(counts,dbinom(counts,n,p),type="h",xlab="counts",ylab="probability")+mtext("binomial(1000,0.013)",3,1)

    lambda=n*p
    plot(counts,dpois(counts,lambda),type="h",xlab="counts",ylab="probability")+mtext("Poisson(13.4)",3,1)

    sum(dpois(0:80,100))

    ppois(80,100)