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Implement ZTEST: One-Sample t-Test Statistic with validation tests
- Added Ztest class to compute the one-sample t-statistic using sample standard deviation with Bessel correction. - Implemented validation tests for Ztest to ensure accuracy against manual calculations and PineScript. - Updated documentation for Ztest, detailing its mathematical foundation, performance profile, and common pitfalls. - Adjusted NDepend badges to reflect changes in code metrics after implementation. - Updated missing indicators report to reflect the completion of statistical indicators, including ZTEST.
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using System.Drawing;
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using System.Runtime.CompilerServices;
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using TradingPlatform.BusinessLayer;
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namespace QuanTAlib;
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[SkipLocalsInit]
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public sealed class ZscoreIndicator : Indicator, IWatchlistIndicator
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{
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[InputParameter("Period", sortIndex: 1, 2, 2000, 1, 0)]
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public int Period { get; set; } = 14;
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[IndicatorExtensions.DataSourceInput]
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public SourceType Source { get; set; } = SourceType.Close;
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[InputParameter("Show cold values", sortIndex: 21)]
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public bool ShowColdValues { get; set; } = true;
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private Zscore _zscore = null!;
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private readonly LineSeries _series;
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private Func<IHistoryItem, double> _priceSelector = null!;
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public static int MinHistoryDepths => 0;
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int IWatchlistIndicator.MinHistoryDepths => MinHistoryDepths;
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public override string ShortName => $"ZSCORE({Period})";
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public override string SourceCodeLink => "https://github.com/mihakralj/QuanTAlib/blob/main/lib/statistics/zscore/Zscore.Quantower.cs";
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public ZscoreIndicator()
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{
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OnBackGround = true;
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SeparateWindow = true;
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Name = "ZSCORE - Z-Score (Population Standard Score)";
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Description = "Measures how many population standard deviations a value is from the mean";
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_series = new LineSeries(name: "Z-Score", color: IndicatorExtensions.Statistics, width: 2, style: LineStyle.Solid);
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AddLineSeries(_series);
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void OnInit()
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{
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_zscore = new Zscore(Period);
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_priceSelector = Source.GetPriceSelector();
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base.OnInit();
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void OnUpdate(UpdateArgs args)
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{
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var item = this.HistoricalData[this.Count - 1, SeekOriginHistory.Begin];
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double value = _priceSelector(item);
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var time = this.HistoricalData.Time();
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var input = new TValue(time, value);
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TValue result = _zscore.Update(input, args.IsNewBar());
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_series.SetValue(result.Value, _zscore.IsHot, ShowColdValues);
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}
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}
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