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<table width="100%" summary="page for Wheat"><tr><td>Wheat</td><td align="right">R Documentation</td></tr></table>

<h2>
Playfair's Data on Wages and the Price of Wheat
</h2>

<h3>Description</h3>


<p>Playfair (1821) used a graph, showing parallel time-series of the price of wheat
and the typical weekly wage for a &quot;good mechanic&quot; from 1565 to 1821 to argue
that working men had never been as well-off in terms of purchasing power as
they had become toward the end of this period. 
</p>
<p>His graph is a classic in the history of data visualization, but commits the
sin of showing two non-commensurable Y variables on different axes.
Scatterplots of wages vs. price or plots of ratios (e.g., wages/price) 
are in some ways better, but both of these ideas were unknown in 1821.
</p>
<p>In this version, information on the reigns of British monarchs is provided
in a separate data.frame, <code>Wheat.monarch</code>.
</p>


<h3>Usage</h3>

<pre>
data(Wheat)
data(Wheat.monarchs)
</pre>


<h3>Format</h3>


<p><code>Wheat</code>







A data frame with 53 observations on the following 3 variables.
</p>

<dl>
<dt><code>Year</code></dt><dd><p>Year, in intervals of 5 from 1565 to 1821: a numeric vector</p>
</dd>
<dt><code>Wheat</code></dt><dd><p>Price of Wheat (Shillings/Quarter bushel): a numeric vector</p>
</dd>
<dt><code>Wages</code></dt><dd><p>Weekly wage (Shillings): a numeric vector</p>
</dd>
</dl>

<p><code>Wheat.monarchs</code>
A data frame with 12 observations on the following 4 variables.
</p>

<dl>
<dt><code>name</code></dt><dd><p>Reigning monarch, a factor with levels <code>Anne</code> <code>Charles I</code> <code>Charles II</code> <code>Cromwell</code> <code>Elizabeth</code> <code>George I</code> <code>George II</code> <code>George III</code> <code>George IV</code> <code>James I</code> <code>James II</code> <code>W&amp;M</code></p>
</dd>
<dt><code>start</code></dt><dd><p>Starting year of reign, a numeric vector</p>
</dd>
<dt><code>end</code></dt><dd><p>Starting year of reign, a numeric vector</p>
</dd>
<dt><code>commonwealth</code></dt><dd><p>A binary variable indicating the period of the Commonwealth under Cromwell</p>
</dd>
</dl>



<h3>Source</h3>


<p>Playfair, W. (1821). <EM>Letter on our Agricultural Distresses, Their Causes and Remedies</EM>. London: W. Sams, 1821
</p>
<p>Data values:
originally digitized from <a href="http://www.math.yorku.ca/SCS/Gallery/images/playfair-wheat1.gif">http://www.math.yorku.ca/SCS/Gallery/images/playfair-wheat1.gif</a>
now taken from <a href="http://mbostock.github.com/protovis/ex/wheat.js">http://mbostock.github.com/protovis/ex/wheat.js</a>
</p>


<h3>References</h3>


<p>Friendly, M. &amp; Denis, D. (2005). The early origins and development of the scatterplot 
<EM>Journal of the History of the Behavioral Sciences</EM>, 
41, 103-130.
</p>


<h3>Examples</h3>

<pre>
data(Wheat)

data(Wheat)

# ------------------------------------
# Playfair's graph, largely reproduced
# ------------------------------------

# convenience function to fill area under a curve down to a minimum value
fillpoly &lt;- function(x,y, low=min(y),  ...) {
	n &lt;- length(x)
	polygon( c(x, x[n], x[1]), c(y, low, low), ...)
}

# For best results, this graph should be viewed with width ~ 2 * height
# Note use of type='s' to plot a step function for Wheat
#   and panel.first to provide a background grid()
# 	The curve for Wages is plotted after the polygon below it is filled
with(Wheat, {
	plot(Year, Wheat, type="s", ylim=c(0,105), ylab="Price of the Quarter of Wheat (shillings)", 
		panel.first=grid(col=gray(.9), lty=1))
	fillpoly(Year, Wages, low=0, col="lightskyblue", border=NA)
	lines(Year, Wages, lwd=3, col="red")
	})


# add some annotations
text(1625,10, "Weekly wages of a good mechanic", cex=0.8, srt=3, col="red")

# cartouche
text(1650, 85, "Chart", cex=2, font=2)
text(1650, 70, 
	paste("Shewing at One View", 
        "The Price of the Quarter of Wheat", 
        "&amp; Wages of Labor by the Week", 
        "from the Year 1565 to 1821",
        "by William Playfair",
        sep="\n"), font=3)

# add the time series bars to show reigning monarchs
# distinguish Cromwell visually, as Playfair did
with(Wheat.monarchs, {
	y &lt;- ifelse( !commonwealth &amp; (!seq_along(start) %% 2), 102, 104)
	segments(start, y, end, y, col="black", lwd=7, lend=1)
	segments(start, y, end, y, col=ifelse(commonwealth, "white", NA), lwd=4, lend=1)
	text((start+end)/2, y-2, name, cex=0.5)
	})

# -----------------------------------------
# plot the labor cost of a quarter of wheat
# -----------------------------------------
Wheat1 &lt;- within(na.omit(Wheat), {Labor=Wheat/Wages})
with(Wheat1, {
	plot(Year, Labor, type='b', pch=16, cex=1.5, lwd=1.5, 
	     ylab="Labor cost of a Quarter of Wheat (weeks)",
	     ylim=c(1,12.5));
	lines(lowess(Year, Labor), col="red", lwd=2)
	})
	
# cartouche
text(1740, 10, "Chart", cex=2, font=2)
text(1740, 8.5, 
	paste("Shewing at One View", 
        "The Work Required to Purchase", 
        "One Quarter of Wheat", 
        sep="\n"), cex=1.5, font=3)

with(Wheat.monarchs, {
	y &lt;- ifelse( !commonwealth &amp; (!seq_along(start) %% 2), 12.3, 12.5)
	segments(start, y, end, y, col="black", lwd=7, lend=1)
	segments(start, y, end, y, col=ifelse(commonwealth, "white", NA), lwd=4, lend=1)
	text((start+end)/2, y-0.2, name, cex=0.5)
	})
</pre>


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