public List <double> GetMode()
{
var sampleFrequencies = EmpericalSampleRepository.GetGeneralSample()
.GroupBy(elem => elem)
.Select(group => new { Key = group.Key, Frequency = group.Count() })
.ToList();
var sampleMode = sampleFrequencies.Where(elem => elem.Frequency == sampleFrequencies.Max(el => el.Frequency)).Select(x => x.Key).FirstOrDefault();
var intervals = GetIntervalEmpericalSample();
var modeIntervals = intervals.Where(interval => interval.HasElement(sampleMode)).ToList();
var result = new List <double>();
foreach (var modeInterval in modeIntervals)
{
var preModeInterval = intervals.Where(interval => interval.IntervalEnd == modeInterval.IntervalStart).FirstOrDefault();
var nextModeInterval = intervals.Where(interval => interval.IntervalStart == modeInterval.IntervalEnd).FirstOrDefault();
result.Add(Math.Round(
modeInterval.IntervalStart
+ (double)(modeInterval.IntervalData.Count - preModeInterval.IntervalData.Count)
/ (2 * modeInterval.IntervalData.Count - preModeInterval.IntervalData.Count - nextModeInterval.IntervalData.Count)
* IntervalSize
, 2));
}
return(result);
}
public double GetStartEmpericalMoment(int k)
{
var intervals = GetIntervalEmpericalSample();
var result = 0.0;
foreach (var interval in intervals)
{
result += Math.Pow(interval.DiscreteValue, k) * interval.IntervalData.Count;
}
return(result / EmpericalSampleRepository.GetGeneralSample().Count);
}
public double GetMedian()
{
var sampleMedian = GetSampleMedian();
var intervals = GetIntervalEmpericalSample();
var medianInterval = intervals.FirstOrDefault(elem => elem.HasElement(sampleMedian));
var preMedianIntervals = intervals.Where(elem => elem.IntervalStart < medianInterval.IntervalStart).ToList();
return(medianInterval.IntervalStart
+ (IntervalSize / medianInterval.IntervalData.Count)
* ((double)EmpericalSampleRepository.GetGeneralSample().Count / 2 - preMedianIntervals.Sum(x => x.IntervalData.Count))
* IntervalSize);
}
public Dictionary <string, double> GetIntervalRowByVirtualFrequency()
{
var result = new Dictionary <string, double>();
var intervals = this.GetIntervalEmpericalSample();
foreach (var element in intervals)
{
result.Add(
intervals.IndexOf(element) == intervals.Count - 1
? element.Name.Replace(")", "]")
: element.Name,
(double)element.IntervalData.Count / EmpericalSampleRepository.GetGeneralSample().Count);
}
return(result);
}
private double GetSampleMedian()
{
var sample = EmpericalSampleRepository.GetGeneralSample();
sample.Sort();
if (sample.Count % 2 == 0)
{
var middleId = sample.Count / 2;
return((sample[middleId] + sample[middleId - 1]) / 2);
}
else
{
return(sample[sample.Count / 2]);
}
}
public List <ChartViewModel> GetEmpericalFunction()
{
var intervals = GetIntervalEmpericalSample();
var sampleSize = EmpericalSampleRepository.GetGeneralSample().Count;
var dictionaryOfElements = new Dictionary <double, double>();
foreach (var interval in intervals)
{
dictionaryOfElements.Add(interval.DiscreteValue, intervals.Where(elem => elem.IntervalStart < interval.IntervalStart).Sum(elem => elem.IntervalData.Count) / (double)sampleSize);
}
var result = dictionaryOfElements.ToChartList().Round();
result.Add(new ChartViewModel {
x = intervals.Max(x => x.DiscreteValue), y = 1
});
return(result);
}
public List <TableViewModel> GetHistogramByVirtualFrequency()
{
var intervals = GetIntervalEmpericalSample();
var result = new List <TableViewModel>();
foreach (var interval in intervals)
{
result.Add(new TableViewModel
{
x = intervals.IndexOf(interval) == intervals.Count - 1
? interval.Name.Replace(")", "]")
: interval.Name,
y = interval.IntervalData.Count
/ (double)EmpericalSampleRepository.GetGeneralSample().Count
/ IntervalSize
});
}
return(result);
}