Simulated Sample from Binomial Distribution

Description

The data set is used to understand the sampling variation of the score function. The simulated data is available in Pawitan (2001).

Usage

data(bs)

Format

A data frame with 10 observations on the following 20 variables.

Sample.1

a numeric vector

Sample.2

a numeric vector

Sample.3

a numeric vector

Sample.4

a numeric vector

Sample.5

a numeric vector

Sample.6

a numeric vector

Sample.7

a numeric vector

Sample.8

a numeric vector

Sample.9

a numeric vector

Sample.10

a numeric vector

Sample.11

a numeric vector

Sample.12

a numeric vector

Sample.13

a numeric vector

Sample.14

a numeric vector

Sample.15

a numeric vector

Sample.16

a numeric vector

Sample.17

a numeric vector

Sample.18

a numeric vector

Sample.19

a numeric vector

Sample.20

a numeric vector

Source

Pawitan, Y. (2001). In All Likelihood. Oxford Science Publications.

References

Pawitan, Y. (2001). In All Likelihood. Oxford Science Publications.

Examples

data(bs)
n <- 10
sample_means <- colMeans(bs)
binomial_score_fn <- function(p,xbar)
      n*(xbar-10*p)/(p*(1-p))
p <- seq(from=0,to=1,by=0.02)
plot(p,sapply(p,binomial_score_fn,xbar=sample_means[1]),"l",xlab=expression(p),
ylab=expression(S(p)))
title(main="C: Score Function Plot of Binomial Model")
for(i in 2:20) lines(p,sapply(p,
binomial_score_fn,xbar=sample_means[i]),"l")
abline(v=4)
abline(h=0)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
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Type 'license()' or 'licence()' for distribution details.

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Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(ACSWR)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/ACSWR/bs.Rd_%03d_medium.png", width=480, height=480)
> ### Name: bs
> ### Title: Simulated Sample from Binomial Distribution
> ### Aliases: bs
> ### Keywords: score function, binomial distribution
> 
> ### ** Examples
> 
> data(bs)
> n <- 10
> sample_means <- colMeans(bs)
> binomial_score_fn <- function(p,xbar)
+       n*(xbar-10*p)/(p*(1-p))
> p <- seq(from=0,to=1,by=0.02)
> plot(p,sapply(p,binomial_score_fn,xbar=sample_means[1]),"l",xlab=expression(p),
+ ylab=expression(S(p)))
> title(main="C: Score Function Plot of Binomial Model")
> for(i in 2:20) lines(p,sapply(p,
+ binomial_score_fn,xbar=sample_means[i]),"l")
> abline(v=4)
> abline(h=0)
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>