Block 9 — Statistical Test Planning for the F-47 ANS#
The math underpinning the project: correlation time and effective sample size, the 95th-percentile ECDF for accuracy requirements, drift-slope confidence intervals, peak-and-snapback inference of detection time, and the 27/30 compliance rule.
What you’ll learn#
Explain why correlated time-series data require effective sample size \(N_{\text{eff}}\), not the raw sample count \(N\).
Estimate \(T_{\text{corr}}\) from an autocorrelation function and apply the 10% rule of thumb.
Derive \(N_{\text{eff}}\) from first principles and plan a statistically defensible test duration.
Apply the 95th-percentile ECDF for accuracy requirements (rather than a CI on the mean).
Estimate inertial drift rate with a 95% confidence interval on the slope.
Infer fault detection time from navigation-error behavior when no internal fault flag is available.