ARTUR KOPA / METROLOGY, MADE CLEAR

Uncertainty.
Finally
understood.*

It’s not magic. It’s measurement. I’ll help you understand uncertainty, evaluate it thoughtfully and put it to work.

*Without pretending any measurement is perfect.
PDF / 01 — GAUSSIAN FIELD
MATHEMATICS YOU CAN FEEL
MOVE YOUR CURSOR · EXPLORE ↗
LESS GUESSWORK. MORE UNDERSTANDING.KNOWLEDGE × PRACTICE × TOOLSSCROLL TO EXPLORE ↓
01 / TOUCH THE THEORY

Meet the shape
of uncertainty.

Switch distributions. Move the slider. See where standard uncertainty comes from. This is where intuition begins.

AN INTERACTIVE EXPERIMENT LIVE
Probability density [1/µm]
00.511.52 -4-2024 Deviation from the central value [µm]
1.00 µm
0.50 µm2.00 µm
Standard uncertainty1.000 µmu = σ

Values near the centre are more likely. For a normal distribution, standard uncertainty equals σ. The distribution has no finite bounds.

Educational model: symmetric distributions, central value 0 µm. Choose a distribution based on information, not its appearance. This is not a complete uncertainty budget.

02 / KNOWLEDGE THAT STICKS

From “not sure”
to “I get it”.

No jumping in at the deep end. Start with the question that’s on your mind.

Explore all guides↗
03 / LEARN BY DOING

You don’t have to love equations.
Just be curious.

I’ll take you from your first question to your own budget. Real examples, at your pace.

04 / FROM INSIGHT TO CALCULATION

Meet
VEGA↗

Understand your model. Then let a tool handle the calculations. VEGA helps organise your uncertainty budget and work with it thoughtfully.

  • +An organised uncertainty budget
  • +Type A and Type B evaluation
  • +From result to measurement decision
Discover VEGA↗PART OF THE ASTRUM ECOSYSTEM
EDUCATIONAL EXAMPLE / NOT AN APP SCREEN

A budget you can explain.

Repeatability0.50 µm
Reference standard0.30 µm
Resolution0.20 µm
Contribution to variance
uc = √(0.50² + 0.30² + 0.20²)0.616 µm

Uncorrelated inputs · cᵢ = 1 · u values in µm

Artur Kopa — metrology coach and author of metrologia-blog.plARTUR KOPA / METRICA
05 / THE PERSON BEHIND THE EQUATIONS

Hi, I’m
Artur.

I teach metrology the way I’d want to learn it: start with meaning, work through an example, then do it yourself.

I help quality professionals and laboratories put measurement requirements into practice. I bring training, coaching and digital tools together. A correctly calculated result is only the beginning — you need to know what to do with it.

Meet your coach↗
GOOD KNOWLEDGE, AT GOOD INTERVALS

Uncertainty is OK.
Confusion is optional.

06 / START WITH A QUESTION

What would you like
to understand?↗

Tell me what you measure and where you’re stuck. We’ll work out whether training, coaching or VEGA is the right next step.

artur.kopa@metrica.com.pl ↗