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Worksheets
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VelocityInput velocity data, get estimates for mean, variance, and standard deviation with confidence intervals. (Works for any Normally distributed sample data.)
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AvB VelocityStatistical analysis of the difference in velocity variance between two different loads.
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X-Y VarianceInput (x,y) coordinates of shots on targets. This sheet computes the variance estimate of each axis with confidence intervals, as well as aggregate variance and sigma, and a test of whether the variance on each axis is statistically different.
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Target PrecisionInput (x,y) coordinates of shots on targets. This sheet computes the precision estimate (sigma) with 90% upper confidence bound – Ballistic Precision Class (BPC)
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Precision – known POAInput (x,y) coordinates of shots on targets relative to the point of aim (POA). Knowing the POA allows more efficient statistics when analyzing multiple targets.
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AvB TargetCompares precision of two different loads. Input R^2 from targets (which is calculated on Target Precision sheets).
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2-Shot BPCShoot two shots at each point of aim and measure their straight-line spread. Can be easier than recording (x,y) for each hit, but sacrifices statistical power in calculating precision estimate (sigma).
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Extreme SpreadConvert an average extreme spread to an estimate of sigma
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Applied σGiven sigma, find expected extreme spread, covering probabilities, and zero errors.
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David Bookstaber is the original author of this workbook.
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Please email him if you have any questions or comments: bookstaber@gmail.com
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References:
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Detailed explanation and validation of the formulas used here.
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https://david.bookstaber.com/Interests/category/ballistics/
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https://github.com/dbookstaber/ballistipedia
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http://ballistipedia.com/
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