Some tools
• 16`b.~Pareto chart • 03`8.Variation measures (03`8.&) • 13`4.^~Standard deviation • 12`4.^~Standard deviation of integers
• Histogram § 09`2.~construction (08`1.~old, 07`a.~&) • Some 05`c.theory • § 08`4.RSM (Response Surface Methodology)
• Quality of (4-legged) 10`b.^~tables • Light 12`4.^~bulbs • 10`b.~Fraction defective (3-D surface)
Control charts
• $ 00`7.Chart factors d2, 3
$ At 'Faculdade de Ciências' (Univ. of Lisbon):§
• 03`a.other factors
• 02`a.Simulation of factors
• 99`a.X-bar & R charts • §From $raw data
Acceptance sampling
Inspection by attributes • 01`2.Sample size (105 ¹)
Inspection by variables
• 09`8.~Gauss from specs
• Z1.9: 07`6.~procedure;
14`8.~decision, via file upload
(non-central, noncentral distribution).
• Sample 03`8.size (414¹, approx.)
• Gaussian 12`4.^~ladder
• OC curve
• 04`b.§Sampling plan
(deprecated)
• Estimated Lot
99`8.Percent nonconforming,
ϖ, (414¹) 'std dev method'
• Estimated Lot
(14`4.~) Percent defective
(fraction nonconforming), ϖ (414¹) (Compstat 2014, Genève)
• Acceptance sampling
(14`4.~) by variables
(from Q to k, non-central t) (414¹)
(Compstat 2014, Genève)
⇒ • Non-central (noncentral) t distribution:
03`a.~curve and k,
04`c.table
(with 10`c.^§graph),
06`3.^~convergence to curve,
03`c.~sequence of curves with formulas,
04`4.~moments curves,
01`b.direct,
$inverse;
$non-c. vs. Student's t;*
$risk underlying k
• 03`6.§Acceptability criterion by variables
¹ ex-Mil-Std-105D or ex-Mil-Std-414 or
recent equivalent standards:
ANSI/ASQ Z1.4 (attributes) → ISO 2859,
ANSI/ASQ Z1.9 (variables) → ISO 3951
Bags for σ (sigma)
Sums of unequal size samples
• 18`1.^~in parallel (CISTI'2018)
• 19`6.^~(SPE 2019) Sigma from sums
• More bags (cement)
Exponential
• 12`a.~quality index
Weibull
• 16`7.~Distribution
• 16`3.~Quality index
Sample loc. statistics
• 16`8.~Average, median, total median Truncated Gaussian
• A quality index, 12`4.^~ Q DOE, Design Of Experiments
• 18`b.$ DOE full fact. Special topics
• "Inverse Gaussian" (IG) (or Wald): 04`c.~distribution curve, 04`a.approximation; sampling plan; 04`a.^~$ Q index • Distribution of the 04`9.^~$ reciprocal of an IG var.
• 04`1.~§$ Lognormal distr. • ~Gamma function • 04`8.^~Gaussian raised to a power • 06`5.~Average of exponentials • 06`6.~Gamma distr. • Sampling plan for 07`1.~Gaussian, exponential • 06`7.^~Q index ←
Monte Carlo simulation
(See...)
