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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 TradingPlatform.BusinessLayer;
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using QuanTAlib;
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namespace QuanTAlib.Tests;
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public sealed class ZtestIndicatorTests
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{
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[Fact]
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public void ZtestIndicator_Constructor_SetsDefaults()
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{
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var indicator = new ZtestIndicator();
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Assert.Equal(30, indicator.Period);
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Assert.Equal(0.0, indicator.Mu0);
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Assert.True(indicator.ShowColdValues);
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Assert.Contains("ZTEST", indicator.Name, StringComparison.Ordinal);
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Assert.True(indicator.SeparateWindow);
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Assert.True(indicator.OnBackGround);
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Assert.Equal(SourceType.Close, indicator.Source);
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}
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[Fact]
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public void ZtestIndicator_MinHistoryDepths_EqualsZero()
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{
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var indicator = new ZtestIndicator { Period = 30 };
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Assert.Equal(0, ZtestIndicator.MinHistoryDepths);
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IWatchlistIndicator watchlistIndicator = indicator;
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Assert.Equal(0, watchlistIndicator.MinHistoryDepths);
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}
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[Fact]
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public void ZtestIndicator_Initialize_CreatesInternalZtest()
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{
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var indicator = new ZtestIndicator { Period = 10 };
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// Initialize should not throw
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indicator.Initialize();
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// After init, line series should exist
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Assert.Single(indicator.LinesSeries);
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Assert.Equal("t-stat", indicator.LinesSeries[0].Name);
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}
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[Fact]
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public void ZtestIndicator_ProcessUpdate_HistoricalBar_ComputesValue()
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{
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var indicator = new ZtestIndicator { Period = 5 };
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indicator.Initialize();
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var now = DateTime.UtcNow;
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for (int i = 0; i < 20; i++)
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{
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indicator.HistoricalData.AddBar(now.AddMinutes(i), 100 + i, 110 + i, 90 + i, 105 + i);
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var args = new UpdateArgs(UpdateReason.HistoricalBar);
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indicator.ProcessUpdate(args);
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}
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double tStat = indicator.LinesSeries[0].GetValue(0);
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Assert.True(double.IsFinite(tStat));
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}
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[Fact]
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public void ZtestIndicator_DifferentSourceTypes()
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{
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var indicator = new ZtestIndicator { Period = 5, Source = SourceType.Open };
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indicator.Initialize();
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var now = DateTime.UtcNow;
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for (int i = 0; i < 10; i++)
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{
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indicator.HistoricalData.AddBar(now.AddMinutes(i), 100 + i, 110 + i, 90 + i, 105 + i);
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var args = new UpdateArgs(UpdateReason.HistoricalBar);
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indicator.ProcessUpdate(args);
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}
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double tStat = indicator.LinesSeries[0].GetValue(0);
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Assert.True(double.IsFinite(tStat));
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}
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[Fact]
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public void ZtestIndicator_ShortName_IncludesPeriod()
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{
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var indicator = new ZtestIndicator { Period = 20 };
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Assert.Equal("ZTEST(20)", indicator.ShortName);
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}
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[Fact]
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public void ZtestIndicator_NewBar_UpdatesValue()
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{
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var indicator = new ZtestIndicator { Period = 5 };
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indicator.Initialize();
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var now = DateTime.UtcNow;
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// Add enough bars to warm up
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for (int i = 0; i < 10; i++)
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{
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indicator.HistoricalData.AddBar(now.AddMinutes(i), 100 + i, 110 + i, 90 + i, 105 + i);
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var args = new UpdateArgs(UpdateReason.HistoricalBar);
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indicator.ProcessUpdate(args);
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}
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_ = indicator.LinesSeries[0].GetValue(0);
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// Add a new bar with a very different value
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indicator.HistoricalData.AddBar(now.AddMinutes(10), 200, 210, 190, 205);
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var newArgs = new UpdateArgs(UpdateReason.NewBar);
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indicator.ProcessUpdate(newArgs);
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double valueAfter = indicator.LinesSeries[0].GetValue(0);
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// Value should change after adding a significantly different bar
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Assert.True(double.IsFinite(valueAfter));
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}
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}
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