The library documents itself · Numeric & optimization

stzTukeySummary

25 own methods · 1 forms written with extensions, listed under their method

the source: base/math/stzTukey.ring(opens in a new tab) · All classes · The area reference: Numeric & optimization

Under each method, its extensions (Q CS XT Z ZZ IB W U): bold and ticked, it exists; struck, it does not. The extensions and what they mean

Examples: 3 methods carry one, from the library's tests; 22 have none yet.

Method

Explanation, as the source carries it

init

(no comment in the source: the name reads as a sentence) initno extension

Numbers

(no comment in the source: the name reads as a sentence) numbersno extension

Count

(no comment in the source: the name reads as a sentence) countno extension

SetConvention

(no comment in the source: the name reads as a sentence) set conventionQCSXTZZZIBWU

Convention

(no comment in the source: the name reads as a sentence) conventionno extension

Median

(no comment in the source: the name reads as a sentence) medianno extension

Fourths

Tukey's fourths, whatever the convention in force: the two hinges 1 examples run

aV = [ 2, 4, 4, 5, 7, 9, 12, 25 ]
oS = StzTukeySummaryQ(aV)
? oS.Why()
? @@( oS.Fourths() )
? oS.FourthSpread()
#--> a Tukey summary of 8 value(s) under Tukey's fourths (hinges at depth (floor((n+1)/2)+1)/2): hinges 4 | 6 | 10.5, fourth-spread 6.5, 1 outside, 0 far out
#--> [ 4, 10.50 ]
#--> 6.50

library testno extension

Quartiles

percentile quartiles, stats.zig's rank = p/100 * (n-1)no extension

Hinges

the pair the convention in force namesno extension

FourthSpread

(no comment in the source: the name reads as a sentence) fourth spread 1 examples run

aV = [ 2, 4, 4, 5, 7, 9, 12, 25 ]
oS = StzTukeySummaryQ(aV)
? oS.Why()
? @@( oS.Fourths() )
? oS.FourthSpread()
#--> a Tukey summary of 8 value(s) under Tukey's fourths (hinges at depth (floor((n+1)/2)+1)/2): hinges 4 | 6 | 10.5, fourth-spread 6.5, 1 outside, 0 far out
#--> [ 4, 10.50 ]
#--> 6.50

library testno extension

Fences

[ lower, upper ] at a multiplier of the fourth-spread, under the convention in forceno extension

OutsideFences

(no comment in the source: the name reads as a sentence) outside fencesno extension

FarOutFences

Same as Fences: [ lower, upper ] at a multiplier of the fourth-spread, under the convention in forceno extension

Outside

the values beyond the outside fences (1.5), in the order givenno extension

FarOut

the values beyond the far-out fences (3)no extension

LetterValues

the ladder from M outward: [ [ letter, depth, lower, upper, mid, spread ], ... ]no extension

Trimean

(no comment in the source: the name reads as a sentence) trimeanno extension

LetterValueTable

the ladder as a table: letter, depth, lower, mid, upper, spreadno extension

Mad

the median absolute deviation, unscaledno extension

Biweight

the biweight midvariance with the tuning constant (9 is usual)no extension

Skewness

the shape, measured, and the verdicts (TK4) ----------------------------- skewness: the mean drift of the F, E and D mid-summaries from the median, over the fourth-spread; positive leans rightno extension

TailWeight

tail weight: the sixteenth-spread over the fourth-spread, against the Gaussian's ratio; 1 is Gaussian, above 1.2 is heavy by the measurementno extension

Shape

the shape as words, with the numbers they were read fromno extension

Diagnostics

the verdicts in the house shape [ :rule, :subject, :where, :severity, :message ]: a far-out value is an error, a shape is a warning, and every message names the measurement and the threshold it crossedno extension

Why

(no comment in the source: the name reads as a sentence) why 1 examples run

aV = [ 2, 4, 4, 5, 7, 9, 12, 25 ]
oS = StzTukeySummaryQ(aV)
? oS.Why()
? @@( oS.Fourths() )
? oS.FourthSpread()
#--> a Tukey summary of 8 value(s) under Tukey's fourths (hinges at depth (floor((n+1)/2)+1)/2): hinges 4 | 6 | 10.5, fourth-spread 6.5, 1 outside, 0 far out
#--> [ 4, 10.50 ]
#--> 6.50

library testno extension