public void Verify(List <BooleanStatistic> statistics, CorrelationMatrix correlationMatrix, double meanConfidence = 0.1, double correlationConfidence = 0.1, bool onlyWarn = false, Dictionary <string, double> diffie = null)
        {
            var samples = GetSamples(1000, statistics);

            var taken = new HashSet <string>();

            foreach (var outerStat in statistics)
            {
                if (!NameToColumnIndex.ContainsKey(outerStat.Name))
                {
                    continue;
                }

                var samplesForOuterStat = GetValue(NameToColumnIndex[outerStat.Name], samples);
                var meanForOuterStat    = TrueRatio(samplesForOuterStat);
                ThrowIfExceedsConfidence(meanForOuterStat, outerStat.TrueRatio, meanConfidence, "Mean for " + outerStat.Name, onlyWarn);

                foreach (var innerStat in statistics)
                {
                    var combo = innerStat.Name + outerStat.Name;
                    if (!NameToColumnIndex.ContainsKey(innerStat.Name))
                    {
                        continue;
                    }

                    if (taken.Contains(combo))
                    {
                        continue;
                    }

                    if (innerStat.Name == outerStat.Name)
                    {
                        continue;
                    }

                    if (outerStat.TrueRatio == 100 || outerStat.TrueRatio == 0 || innerStat.TrueRatio == 100 || innerStat.TrueRatio == 0)
                    {
                        continue;
                    }

                    var samplesForInnerStat = GetValue(NameToColumnIndex[innerStat.Name], samples);
                    var cor    = StatisticHelper.CalculateCorrelation(samplesForOuterStat, samplesForInnerStat);
                    var orgCor = correlationMatrix.GetValue(outerStat.Name, innerStat.Name).Value;

                    var realDiff = ThrowIfExceedsConfidence(cor, orgCor, correlationConfidence, "Correlation between " + innerStat.Name + " and " + outerStat.Name, onlyWarn);

                    if (diffie != null)
                    {
                        if (!diffie.ContainsKey(combo))
                        {
                            diffie.Add(combo, 0);
                        }

                        diffie[combo] += realDiff;
                    }

                    taken.Add(outerStat.Name + innerStat.Name);
                }
            }
        }
        public void BuildCoverianceMatrix(List <BooleanStatistic> statistics, CorrelationMatrix correlationMatrix, Func <double[, ], double[, ]> getSigma)
        {
            var taken = new HashSet <string>();

            NameToColumnIndex = new Dictionary <string, int>();
            ColumnIndexToName = new Dictionary <int, string>();

            if (statistics.Any(s => string.IsNullOrEmpty(s.Name)))
            {
                throw new ArgumentException("All statistics.name must be non-null");
            }

            var commonprob = new double[statistics.Count, statistics.Count];

            int outerIndex = -1;
            int innerIndex = -1;

            foreach (var outerStat in statistics)
            {
                outerIndex++;
                NameToColumnIndex.Add(outerStat.Name, outerIndex);
                ColumnIndexToName.Add(outerIndex, outerStat.Name);

                foreach (var innerStat in statistics)
                {
                    innerIndex++;
                    var key = GetKey(outerIndex, innerIndex);
                    if (taken.Contains(key) || taken.Contains(GetKey(innerIndex, outerIndex)))
                    {
                        continue;
                    }
                    taken.Add(key);

                    if (outerIndex == innerIndex)
                    {
                        if (outerStat.Name != innerStat.Name)
                        {
                            throw new ArgumentException("Bug..");
                        }

                        commonprob[outerIndex, innerIndex] = outerStat.TrueRatio;
                        continue;
                    }

                    var correlation = correlationMatrix.GetValue(outerStat.Name, innerStat.Name);
                    if (Double.IsNaN(correlation.Value))
                    {
                        throw new ArgumentException("Correlation cannot be 0");
                    }

                    if (correlation.Value > 1.0)
                    {
                        correlation.Value = 1.0;
                    }

                    var value = GetPaGivenB(outerStat, innerStat, correlation.Value);
                    commonprob[outerIndex, innerIndex] = value;
                    commonprob[innerIndex, outerIndex] = value;
                }

                innerIndex = -1;
            }

            CovarianceMatrix = getSigma(commonprob);
        }