/// <summary>
/// Computes the endpoint deviation of the trials in this condition. For ribbon targets, the univariate
/// result is the standard deviation of x-coordinates. The bivariate result is undefined. For circle
/// targets, the univariate result is the standard deviation of x-coordinates. The bivariate result is
/// the deviation of points around the centroid.
/// </summary>
/// <param name="bivariate">If true, a result considering deviation in both x- and y-dimensions is given.
/// If false, only the deviation in x, defined as "along the task axis," is given.</param>
/// <returns>The endpoint deviation for normalized trials in this condition.</returns>
/// <remarks>Spatial outliers are excluded from this calculation so that the
/// measure remains consistent with its counterpart, We.</remarks>
public double GetSD(bool bivariate)
{
double stdev = 0.0;
// compute the normalized endpoint locations for each trial in this condition
List <PointF> pts = new List <PointF>(_trials.Count);
for (int i = 0; i < _trials.Count; i++)
{
if (!_trials[i].IsPractice && _trials[i].IsComplete && !_trials[i].IsSpatialOutlier)
{
pts.Add(_trials[i].NormalizedEnd); // normalized selection endpoints
}
}
// compute the desired endpoint deviation
if (pts.Count > 0)
{
if (bivariate)
{
stdev = _circular ? StatsEx.StdDev2D(pts) : 0.0; // 0.0 is for ribbon task--no bivariate deviation
}
else
{
double[] dxs = new double[pts.Count];
for (int j = 0; j < pts.Count; j++)
{
dxs[j] = pts[j].X;
}
stdev = StatsEx.StdDev(dxs); // stdev in x-dimension only
}
}
return(stdev);
}
/// <summary>
/// Calculates the movement variability of this movement path. This is the wigglyness of
/// the path and is based on the standard deviation of movement points' distances from the
/// task axis.
/// </summary>
/// <param name="pts">The points to analyze. These must be first rotated such that
/// the task axis they are following is horizontal.</param>
/// <param name="horizontal">The y-value coordinate of the horizontal task axis.</param>
/// <returns>The movement variability computation.</returns>
private double MovementVariability(List <PointF> pts, float horizontal)
{
double[] yvals = new double[pts.Count];
for (int i = 0; i < pts.Count; i++)
{
yvals[i] = pts[i].Y - horizontal;
}
return(StatsEx.StdDev(yvals));
}
private Graph gphErr; // error rates
/// <summary>
///
/// </summary>
/// <param name="sd"></param>
public ResultsForm(SessionData sd, string filename)
{
InitializeComponent();
this.Text = filename;
// create a graph for speed
gphWpm = new Graph();
gphWpm.Title = "Speed";
gphWpm.XAxisName = "Trial No.";
gphWpm.YAxisName = "WPM";
gphWpm.XAxisTicks = (sd.NumTrials > 1) ? sd.NumTrials - 1 : 1;
gphWpm.XAxisDecimals = 1;
gphWpm.YAxisDecimals = 1;
gphWpm.Legend = true;
// create a graph for error rates
gphErr = new Graph();
gphErr.Title = "Error Rates";
gphErr.XAxisName = "Trial No.";
gphErr.YAxisName = "Error Rate";
gphErr.XAxisTicks = (sd.NumTrials > 1) ? sd.NumTrials - 1 : 1;
gphErr.XAxisDecimals = 1;
gphErr.YAxisDecimals = 3;
gphErr.Legend = true;
// create each series we wish to graph
Graph.Series sWpm = new Graph.Series("WPM", Color.Red, Color.Red, true, true);
Graph.Series sAdj = new Graph.Series("AdjWPM", Color.Gray, Color.Gray, true, true);
Graph.Series sTot = new Graph.Series("Total", Color.Red, Color.Red, true, true);
Graph.Series sUnc = new Graph.Series("Uncorrected", Color.Gray, Color.Gray, true, true);
Graph.Series sCor = new Graph.Series("Corrected", Color.LightGray, Color.LightGray, true, true);
// use these lists to compute the means and stdevs for each series
List <double> mWpm = new List <double>();
List <double> sdWpm = new List <double>();
List <double> mAdj = new List <double>();
List <double> sdAdj = new List <double>();
List <double> mTot = new List <double>();
List <double> sdTot = new List <double>();
List <double> mUnc = new List <double>();
List <double> sdUnc = new List <double>();
List <double> mCor = new List <double>();
List <double> sdCor = new List <double>();
// add the points for each series
for (int i = 0; i < sd.NumTrials; i++)
{
if (sd[i].NumEntries > 0)
{
sWpm.AddPoint(new PointR(i + 1, sd[i].WPM));
mWpm.Add(sd[i].WPM);
sdWpm.Add(sd[i].WPM);
sAdj.AddPoint(new PointR(i + 1, sd[i].AdjWPM));
mAdj.Add(sd[i].AdjWPM);
sdAdj.Add(sd[i].AdjWPM);
sTot.AddPoint(new PointR(i + 1, sd[i].TotalErrorRate));
mTot.Add(sd[i].TotalErrorRate);
sdTot.Add(sd[i].TotalErrorRate);
sUnc.AddPoint(new PointR(i + 1, sd[i].UncorrectedErrorRate));
mUnc.Add(sd[i].UncorrectedErrorRate);
sdUnc.Add(sd[i].UncorrectedErrorRate);
sCor.AddPoint(new PointR(i + 1, sd[i].CorrectedErrorRate));
mCor.Add(sd[i].CorrectedErrorRate);
sdCor.Add(sd[i].CorrectedErrorRate);
}
}
// add the means and standard deviations to the series' names
sWpm.Name = String.Format("{0} (µ={1:f1}, σ={2:f1})", sWpm.Name, StatsEx.Mean(mWpm.ToArray()), StatsEx.StdDev(sdWpm.ToArray()));
sAdj.Name = String.Format("{0} (µ={1:f1}, σ={2:f1})", sAdj.Name, StatsEx.Mean(mAdj.ToArray()), StatsEx.StdDev(sdAdj.ToArray()));
sTot.Name = String.Format("{0} (µ={1:f3}, σ={2:f3})", sTot.Name, StatsEx.Mean(mTot.ToArray()), StatsEx.StdDev(sdTot.ToArray()));
sUnc.Name = String.Format("{0} (µ={1:f3}, σ={2:f3})", sUnc.Name, StatsEx.Mean(mUnc.ToArray()), StatsEx.StdDev(sdUnc.ToArray()));
sCor.Name = String.Format("{0} (µ={1:f3}, σ={2:f3})", sCor.Name, StatsEx.Mean(mCor.ToArray()), StatsEx.StdDev(sdCor.ToArray()));
// add the origin point to the graphs
Graph.Series origin = new Graph.Series(String.Empty, Color.Black, Color.Black, false, false);
origin.AddPoint(1.0, 0.0);
gphWpm.AddSeries(origin);
gphErr.AddSeries(origin);
// finally, add the series
gphWpm.AddSeries(sWpm);
gphWpm.AddSeries(sAdj);
gphErr.AddSeries(sTot);
gphErr.AddSeries(sUnc);
gphErr.AddSeries(sCor);
}