Geological modal mineral tally calculator

Calculate modal proportions and marginal Wilson95 intervals and total counted points with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use modal proportions and marginal Wilson95 intervals and total counted points to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Modal point counts [mineral label,count]
[["Quartz",40],["Feldspar",35],["Mica",25]]
Modal proportions and marginal Wilson95 intervals
[["Quartz",40,0.4,0.309401286432,0.497997413209],["Feldspar",35,0.35,0.263642482431,0.447455567031],["Mica",25,0.25,0.175452113623,0.343044635481]]
Total counted points
100

Try another scenario

Modal point counts [mineral label,count]
[["Quartz",50],["Feldspar",30],["Mica",20]]
Modal proportions and marginal Wilson95 intervals
[["Quartz",50,0.5,0.403831530366,0.596168469634],["Feldspar",30,0.3,0.218948852949,0.395848546333],["Mica",20,0.2,0.133366933331,0.288829165593]]
Total counted points
100
Calculation method

Calculation method

Modal proportions and marginal Wilson95 intervals

Per mineral [label,count,proportion,lower,upper]; binomial marginal intervals, not simultaneous multinomial coverage.

Total counted points

Sum supplied nonnegative integer counts.

Symbols and units
a
Modal point counts [mineral label,count]

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Point-count observations, classifications. Returns Modal proportions and sampling uncertainty. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification.
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