public void PopulationCovarianceConsistentWithPopulationVariance(string dataSet)
{
var data = _data[dataSet];
AssertHelpers.AlmostEqual(Statistics.PopulationVariance(data.Data), Statistics.PopulationCovariance(data.Data, data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.PopulationVariance(data.Data), ArrayStatistics.PopulationCovariance(data.Data, data.Data), 10);
AssertHelpers.AlmostEqual(StreamingStatistics.PopulationVariance(data.Data), StreamingStatistics.PopulationCovariance(data.Data, data.Data), 10);
}
public void ThrowsOnNullData()
{
double[] data = null;
// ReSharper disable InvokeAsExtensionMethod
Assert.That(() => Statistics.Minimum(data), Throws.Exception);
Assert.That(() => Statistics.Maximum(data), Throws.Exception);
Assert.That(() => Statistics.Mean(data), Throws.Exception);
Assert.That(() => Statistics.Median(data), Throws.Exception);
Assert.That(() => Statistics.Quantile(data, 0.3), Throws.Exception);
Assert.That(() => Statistics.Variance(data), Throws.Exception);
Assert.That(() => Statistics.StandardDeviation(data), Throws.Exception);
Assert.That(() => Statistics.PopulationVariance(data), Throws.Exception);
Assert.That(() => Statistics.PopulationStandardDeviation(data), Throws.Exception);
Assert.That(() => Statistics.Covariance(data, data), Throws.Exception);
Assert.That(() => Statistics.PopulationCovariance(data, data), Throws.Exception);
// ReSharper restore InvokeAsExtensionMethod
Assert.That(() => SortedArrayStatistics.Minimum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.Minimum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.Maximum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.OrderStatistic(data, 1), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.Median(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.LowerQuartile(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.UpperQuartile(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.Percentile(data, 30), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.Quantile(data, 0.3), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.QuantileCustom(data, 0.3, 0, 0, 1, 0), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.QuantileCustom(data, 0.3, QuantileDefinition.Nearest), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.InterquartileRange(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => SortedArrayStatistics.FiveNumberSummary(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.Minimum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.Maximum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.OrderStatisticInplace(data, 1), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.Mean(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.Variance(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.StandardDeviation(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.PopulationVariance(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.PopulationStandardDeviation(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.Covariance(data, data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.PopulationCovariance(data, data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.MedianInplace(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => ArrayStatistics.QuantileInplace(data, 0.3), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.Minimum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.Maximum(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.Mean(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.Variance(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.StandardDeviation(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.PopulationVariance(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.PopulationStandardDeviation(data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.Covariance(data, data), Throws.Exception.TypeOf <NullReferenceException>());
Assert.That(() => StreamingStatistics.PopulationCovariance(data, data), Throws.Exception.TypeOf <NullReferenceException>());
}
public void ArrayStatisticsConsistentWithStreamimgStatistics(string dataSet)
{
var data = _data[dataSet];
AssertHelpers.AlmostEqual(ArrayStatistics.Mean(data.Data), StreamingStatistics.Mean(data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.Variance(data.Data), StreamingStatistics.Variance(data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.StandardDeviation(data.Data), StreamingStatistics.StandardDeviation(data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.PopulationVariance(data.Data), StreamingStatistics.PopulationVariance(data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.PopulationStandardDeviation(data.Data), StreamingStatistics.PopulationStandardDeviation(data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.Covariance(data.Data, data.Data), StreamingStatistics.Covariance(data.Data, data.Data), 10);
AssertHelpers.AlmostEqual(ArrayStatistics.PopulationCovariance(data.Data, data.Data), StreamingStatistics.PopulationCovariance(data.Data, data.Data), 10);
}
public void ThrowsOnNullData()
{
double[] data = null;
Assert.Throws <ArgumentNullException>(() => Statistics.Minimum(data));
Assert.Throws <ArgumentNullException>(() => Statistics.Maximum(data));
Assert.Throws <ArgumentNullException>(() => Statistics.Mean(data));
Assert.Throws <ArgumentNullException>(() => Statistics.Median(data));
Assert.Throws <ArgumentNullException>(() => Statistics.Quantile(data, 0.3));
Assert.Throws <ArgumentNullException>(() => Statistics.Variance(data));
Assert.Throws <ArgumentNullException>(() => Statistics.StandardDeviation(data));
Assert.Throws <ArgumentNullException>(() => Statistics.PopulationVariance(data));
Assert.Throws <ArgumentNullException>(() => Statistics.PopulationStandardDeviation(data));
Assert.Throws <ArgumentNullException>(() => Statistics.Covariance(data, data));
Assert.Throws <ArgumentNullException>(() => Statistics.PopulationCovariance(data, data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.Minimum(data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.Maximum(data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.OrderStatistic(data, 1));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.Median(data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.LowerQuartile(data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.UpperQuartile(data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.Percentile(data, 30));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.Quantile(data, 0.3));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.QuantileCustom(data, 0.3, 0, 0, 1, 0));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.QuantileCustom(data, 0.3, QuantileDefinition.Nearest));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.InterquartileRange(data));
Assert.Throws <ArgumentNullException>(() => SortedArrayStatistics.FiveNumberSummary(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.Minimum(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.Maximum(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.OrderStatisticInplace(data, 1));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.Mean(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.Variance(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.StandardDeviation(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.PopulationVariance(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.PopulationStandardDeviation(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.Covariance(data, data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.PopulationCovariance(data, data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.MedianInplace(data));
Assert.Throws <ArgumentNullException>(() => ArrayStatistics.QuantileInplace(data, 0.3));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.Minimum(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.Maximum(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.Mean(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.Variance(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.StandardDeviation(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.PopulationVariance(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.PopulationStandardDeviation(data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.Covariance(data, data));
Assert.Throws <ArgumentNullException>(() => StreamingStatistics.PopulationCovariance(data, data));
}
public void CovarianceIsSymmetric()
{
var dataA = _data["lottery"].Data.Take(200);
var dataB = _data["lew"].Data.Take(200);
AssertHelpers.AlmostEqual(Statistics.Covariance(dataA, dataB), Statistics.Covariance(dataB, dataA), 12);
AssertHelpers.AlmostEqual(StreamingStatistics.Covariance(dataA, dataB), StreamingStatistics.Covariance(dataB, dataA), 12);
AssertHelpers.AlmostEqual(ArrayStatistics.Covariance(dataA.ToArray(), dataB.ToArray()), ArrayStatistics.Covariance(dataB.ToArray(), dataA.ToArray()), 12);
AssertHelpers.AlmostEqual(Statistics.PopulationCovariance(dataA, dataB), Statistics.PopulationCovariance(dataB, dataA), 12);
AssertHelpers.AlmostEqual(StreamingStatistics.PopulationCovariance(dataA, dataB), StreamingStatistics.PopulationCovariance(dataB, dataA), 12);
AssertHelpers.AlmostEqual(ArrayStatistics.PopulationCovariance(dataA.ToArray(), dataB.ToArray()), ArrayStatistics.PopulationCovariance(dataB.ToArray(), dataA.ToArray()), 12);
}