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8.2.58.4 tblish.dataset.anscombe ¶

Static Method: out = anscombe () ¶

Anscombe’s Quartet of “Identical” Simple Linear Regressions

Description ¶

Four sets of x/y pairs which have the same statistical properties, but are very different.

Format ¶

The data comes in an array of 4 structs, each with fields as follows:

x

The X values for this pair.

y

The Y values for this pair.

Source ¶

Tufte, Edward R. (1989). The Visual Display of Quantitative Information. 13–14. Cheshire, CT: Graphics Press.

References ¶

Anscombe, Francis J. (1973). Graphs in statistical analysis. The American Statistician, 27, 17–21.

Examples ¶

data = tblish.dataset.anscombe

# Pick good limits for the plots
all_x = [data.x];
all_y = [data.y];
x_limits = [min(0, min(all_x)) max(all_x)*1.2];
y_limits = [min(0, min(all_y)) max(all_y)*1.2];

# Do regression on each pair and plot the input and results
figure;
haxs = NaN (1, 4);
for i_pair = 1:4
  x = data(i_pair).x;
  y = data(i_pair).y;
  # TODO: Port the anova and other characterizations from the R code
  # TODO: Do a linear regression and plot its line
  hax = subplot (2, 2, i_pair);
  haxs(i_pair) = hax;
  xlabel (sprintf ("x%d", i_pair));
  ylabel (sprintf ("y%d", i_pair));
  scatter (x, y, "r");
endfor

# Fiddle with the plot axes parameters
linkaxes (haxs);
xlim (haxs(1), x_limits);
ylim (haxs(1), y_limits);