Math.NET Numerics
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// <copyright file="GoodnessOfFit.cs">
// Math.NET Numerics, part of the Math.NET Project
// http://numerics.mathdotnet.com
// http://github.com/mathnet/mathnet-numerics
// http://mathnetnumerics.codeplex.com
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use,
// copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following
// conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
// OTHER DEALINGS IN THE SOFTWARE.
// </copyright>
using System.Collections.Generic;
using MathNet.Numerics.Statistics;
namespace MathNet.Numerics
{
public static class GoodnessOfFit
{
/// <summary>
/// Calculated the R-Squared value, also known as coefficient of determination,
/// given modelled and observed values
/// </summary>
/// <param name="modelledValues">The values expected from the modelled</param>
/// <param name="observedValues">The actual data set values obtained</param>
/// <returns>Squared Person product-momentum correlation coefficient.</returns>
public static double RSquared(IEnumerable<double> modelledValues, IEnumerable<double> observedValues)
{
var corr = Correlation.Pearson(modelledValues, observedValues);
return corr * corr;
}
/// <summary>
/// Calculated the R value, also known as linear correlation coefficient,
/// given modelled and observed values
/// </summary>
/// <param name="modelledValues">The values expected from the modelled</param>
/// <param name="observedValues">The actual data set values obtained</param>
/// <returns>Person product-momentum correlation coefficient.</returns>
public static double R(IEnumerable<double> modelledValues, IEnumerable<double> observedValues)
{
return Correlation.Pearson(modelledValues, observedValues);
}
}
}