Kerrich's coin data

Source: R/datasets.R

A summary of the 10,000 coin throws conducted by Jon Kerrich.

kerrich

Format

A data frame with 35 observations on 2 variables:

  • throws: the number of throws conducted.

  • heads: the corresponding cumulative number of heads obtained.

Details

These data are considered in Section 3.2 of the STAT0002 notes.

References

Kerrich, J. E. (1946). An Experimental Introduction to the Theory of Probability. E. Munksgaard.

Examples

# This code produces the plot in Figure 3.1 of the STAT0002 notes
plot(kerrich$throws, kerrich$heads / kerrich$throws,
     ylab = "proportion of heads",
     xlab = "number of throws (logarithmic scale)", lwd = 2, type = "l",
     log = "x", ylim = c(0,1), axes = FALSE)
abline(h = 0.5, lty = 2)
axis(1, labels = as.character(c(3, 10, 30, 100, 300, 1000, 3000, 10000)),
     at=c(3, 10, 30, 100, 300, 1000, 3000, 10000))
axis(2, labels = c(0, 0.2, 0.4, 0.5, 0.6, 0.8, 1.0),
     at=c(0, 0.2, 0.4, 0.5, 0.6, 0.8, 1.0))