DATA606 Lab 0

On Your Own

In the previous few pages, you recreated some of the displays and preliminary analysis of Arbuthnot’s baptism data. Your assignment involves repeating these steps, but for present day birth records in the United States. Load up the present day data with the following command.

source("more/present.R")
source("more/arbuthnot.R")

The data are stored in a data frame called present.

• What years are included in this data set? What are the dimensions of the data frame and what are the variable or column names?

present$year

##  [1] 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953
## [15] 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967
## [29] 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981
## [43] 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995
## [57] 1996 1997 1998 1999 2000 2001 2002

dim(present)

## [1] 63  3

names(present)

## [1] "year"  "boys"  "girls"

• How do these counts compare to Arbuthnot’s? Are they on a similar scale?

dim(arbuthnot) - dim(present)

## [1] 19  0

print("Arbuthnot includes data covering 19 more years")

## [1] "Arbuthnot includes data covering 19 more years"

mean(arbuthnot$boys + arbuthnot$girls)/mean(present$boys + present$girls)

## [1] 0.00310958

print("However on average the Arbuthnot data contains only 0.3% the counts as the Present data")

## [1] "However on average the Arbuthnot data contains only 0.3% the counts as the Present data"

• Make a plot that displays the boy-to-girl ratio for every year in the data set. What do you see? Does Arbuthnot’s observation about boys being born in greater proportion than girls hold up in the U.S.? Include the plot in your response.

plot(x = present$year, y = present$boys/(present$girls + present$boys),type = "l")

present$boys > present$girls

##  [1] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [15] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [29] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [43] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [57] TRUE TRUE TRUE TRUE TRUE TRUE TRUE

Yes, the data does generally match up, including boys outnumbering girls in each year.

• In what year did we see the most total number of births in the U.S.? You can refer to the help files or the R reference card http://cran.r-project.org/doc/contrib/Short-refcard.pdf to find helpful commands.

present[which.max(present$boys + present$girls),]$year

## [1] 1961