/
2021-1 Spectacles of Measurement.fex
963 lines (884 loc) · 32.4 KB
/
2021-1 Spectacles of Measurement.fex
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
Introduction
===
measure real-world for decision making, prediction
messfehler (p. profos):
what (material properties of existing objects by physical quantities)
why (to get quantitative & object information about point of interest)
what for (as a basis of decision making)
how (relate property to unit of same physical dimension)
criteria:
if fulfilled result y = x + s + e
for x measurement, s systematic error, e random error,
objective:
independent of person involved
both at operation & interpretation
reliable:
consistent across context
repeated measurements yield equivalent results
valid:
correspondence with goals
actual representation of property
representation:
assigning numerals to (properties of) objects
\phi: S (property) -> X (numerals)
properties of objects like states, events
numerals like reals, rationals, integers
criteria:
implies objectivity & reliability
but not validity or rules
example:
object=person, property=height, mapping=cm
object=person, property=hair, mapping=color
mapping depending on required precision, reliability, scale
mapping may compare measurement (like >= 120cm giving predicate result)
china population 2 AC:
"door" & "mouth" count
determines taxes & military service
allows to strictly enforce it
US constitution:
representatives & tax relative to number of persons
#free persons + #military + 0.6(#indians + #slaves)
still done every 10 years
CH:
continuous population counting depending on population register
quarterly integration of cantonal registers
completion based on 5% sample surveys
temperature (2nd century):
galen (2nd century):
medical condition determined by hot vs cold & moist vs dry
neutral = equal amounts of hottest & coldest (boiling & ice)
remained medical authority for over 1000 years
haslerus (1578):
distance from equator = expected body temperature
extension from galen theory
romer scale (1701):
0 = freezing point of brine (salted water; -21°)
because colder than water, same under different pressures
60 = boiling point of water
because 60 divisible by much more, same as clock
thomasiums (1691):
measure personality
motives are hedonism, avarice, ambition, altruism
ratings 0, 5, ..., 60 by analyzing conversations, writings
claims objectivity as three persons came to same measurements
relates properties to each other
empirical structure:
equivalence:
some properties are same than those of others
body height, threshhold pass, hair color, personality
comparison:
ordering properties
by height, pass/fail, character trait intensity
combination:
properties are related to each other, merged
like average temperature, height
preserving structure:
when \phi: S -> X is homomophism
each empirical relation (S) reflected in numerical relation
i ~ j <=> \phi(i) = \phi(j)
if one-to-one (bijective) also called isomorphism
representation:
(1) homomorphism \phi: S -> X
(2) for empirical (S; =, <, +, ...)
(3) to numerical (X; =, <, +, ...)
aigns numerals to properties while preserving laws
valid as a basis for decision making
can assign color to number
problems representation:
existence (is it actually possible)
uniqueness (are mappings independent = contribute information)
meaningful (different mappings might create different results)
operationalization (is it implementable)
errors (how solid is it)
sealed envelopes:
two sealed envelopes with x and 2x money
you are given one, then have choice to switch
do you take it?
trivial multiplication:
assuming own envelope contains y
then other envelope contains either x/2 or 2x
E[amount swapping] = 0.5*x/2 + 0.5*2x = 5/4*x
reasoning mistake:
reference point in "either x/2 or 2x" is changed
hence argument invalid
references:
unit is given; counted for measurement
different units through historic reasons
definition by authority, agreement, cultural norms
scales:
differnet base units
ratios might be preserved (big unit = 2 small unit or so)
length:
foot & metric system
jakob köbel (1535):
16 men (because power of 2)
tall & small ones, left feet one behind the other
measure & divide by 16
metric system:
1791 defined as 1/10'000 the distance north pole-equator
1889 reference created out of non-deforming metal alloy
now defined by 1/299'792'458s speed of light
topology:
dufour map 1832 - 1865
measurement by triangulation
with baseline im "grossen moos"
extremely exact baseline measurement:
placed metal rods one-after-the-other
aligned perfectly with stoppers in between
temperature tracking (to measure metal deformity)
adjusted for lag between temperature measurement & development over day
temperature:
rømer scale:
idea is divisibility (64 is power of two)
0 (brine freezing), 60 (water boiling)
fahrenheit:
idea is tripling (32 + 64 + 128); real-world is close
0 (brine freezing), 32 water (fluid)
96 (human body temperature), 212 (water boiling)
celsius:
for 100 change of scale is easy (as base 10 number system)
0 water freezing, 100 water boiling
kelvin:
discovered absolute 0, uses celsious unit difference
273.15 as water boiling, 373.15 water boiling
transformations:
which implications has changing the scale
nominal (=):
isomophism (x(i) = x(j) <=> y(i) = y(j))
like people
ordinal (<=):
isotone (x(i) <= x(j) <=> y(i) <= y(j)
like "higher-than"
interval (+ <=):
positive linear (x = \beta*y + \alpha; \beta > 0)
like bucketed measurement (eg days)
ratio (/ + <=):
similarities (x = \beta*y; \beta > 0)
like m to cm
absolute (/, + <=):
identity (y = x)
like counting
existance theorem:
map emiprical structure to numerical ground ("assign numbers to properties")
want to nummerics to preserve homomophism / other properties
examples under which this is possible the following theorem
theorem (<):
empirial structure (S, <) with S finite
admits order-preserving representation \phi : S -> N
iff < is strict weak order (assymetric, negatively transitive)
negative transitivity avoids enforcing everything to be comparative
theorem (<=):
empirial structure (S, <=) with S finite
admits order-preserving representation \phi : S -> N
iff <= is weak order (reflexive, complete, transitive)
utility function \phi:
descriptive (define, then verify empirically)
normative (derive logically / rationally / by axiomatization)
\phi might not exist for everything (like job preference)
theorem (<, +):
empirial structure (S, <, +)
admits order-preserving representation \phi : S -> N
iff < is strict weak order (assymetric, negatively transitive)
and associativity, order preserved if same element added, inflated (multiplied)
datafication:
\phi : S -> X
S (scope, selection like course attendees, schools)
X (nested, labels like degrees, tracks)
relations (equality, equivalence)
analysis (counting, shares which requires knowledge about |S|)
exclusiveness (single or multiple labels; mapping)
exhaustiveness (completeness of domain S; total mapping)
measuring degrees of course attendees:
scope is course attendees (but could be school, world, ..)
labels are degrees (but could include tracks, schools, ...)
relations (some degrees might be equal but different schools)
further examples:
dress codes (orderable, not additive)
music genres (but labeling exhaustiveness, exclusiveness hard)
wind speed (relative measurement, beaufort is descriptive)
quotes:
to measure is to know
if you cannot measure it, you cannot improve it
when you can measure you know something about it (kelvin)
free fall:
odd numbers by galileo (1,3,5,7, ...)
natural numbers by fabri (1,2,3,4, ...)
doubling numbers by caze (1,2,4,8, ...)
scale invariance:
necessary condition for any law to hold
if measured in different time unit, space should still hold
assume steps 2t, then galileo results in 4, 12, 20, ...
can rescale (divide by 4), results again in 1,3,5
=> galileo's proposal only one to fulfil this
temperature:
compare °K, °C, °F, rankine °R (like °F starting at absolute 0)
comparison always works, but "5% more", "double" might be nonsensical
meaningful:
if truth value invariant under admissible (homomophy-preserving) transformations
then statement about measured property is meaningful
change of scale:
might affect truth value
hence meaningfulness relative to scale type
meaningful when statements only use preserved relations
scale types & their preserved relations:
norminal preserve mode
ordinal preserve mode, median
interval preserve mode, median, arithmetic mean
ratio preserve mode, median, arithmetic mean, geometric mean
health of newborn children:
check skin, heart, reflexes, muscle tone, breathing
each category 0,1,2 value depending on observable properties
then sum for assessent (critical until 3, low until 7, normal until 10)
analysis:
for example bpm measure in none, <100 or >100
but when measured 0, 90 vs 110, same difference
=> interval criteria not satisfied
measure childrens health:
all are proxys of childrens health
multiple measurements might increase accuracy
accuracy overall OK for quick assessment
indirect measurement:
unobservability:
cost
physical size (too small or big)
accessibility in time / space
theoretical construct (like state of baby)
way around:
instead of measuring property(object) (\phi)
measure property'(object)
map to numerical space with \psi into proxy
then apply transformation f
\phi = \psi * f (ideal case)
length:
comparison meter stick, translation range scanner
sends light & registers reflection time
length = c/2 * t
corrects for non-vaccuum conditions
mass:
comparison balance scale, translation spring scale
length = 1/k * F; translate length to weight
temperature:
no direct comparison, translation thermometer
expansion of quicksilver as length
egg sizes:
regulations define which sizes eggs can be labeled at
<= 53 S, <= 63 M, <= 73 L, else XL
weight taken as proxy of size
use springs which open hole if heavy enough
radiocarbon dating:
C^12 stable, C^14 unstable; C^12 to C^14 in predictable ratio
C^14 production by cosmic rays; ratio is kept in environment
organism has same ratio as environment due to exchange (like photosynthesis)
when organism dies, exchange is stopped and ratio deteriorates (as C^14 decaying)
measure ratio of C^12 / C^14 in dead organism to determine time of death
big mac index:
indication of purchasing power
expect that price ratio = currency ratio
adjust with gross domestic product per capita
https://www.economist.com/big-mac-index
world health:
plot income vs lifespan
see log-linear relationship between income / life expectancy
https://www.gapminder.org/downloads/updated-gapminder-world-poster-2019/
conjoint measurement
===
archimedes (EUREKA):
measure if all gold used for gold crown
ensure weight & volumina match
volumina match by immersing into water, measure pegel change
multiplicative composition:
density = mass (kg) / volume (m^3)
has inverse, hence order-reversing transformation
log(density) = log(mass) - log(volume)
alters neither equivalence nor ordering
conjoint measurement:
conjoint representation:
\phi: S_1 x ... x S_n -> X
with \phi(s_1, ..., s_n) -> f(\phi_1(s_1), ..., \phi_n(s_n))
for \phi_i: S_i -> X_i, aggregation f: X_1 x ... x X_n -> X
additive conjoint representation:
when f sums up representations
s <= t <=> \phi(s) <= \phi(t)
(s_1, s_2) <= \phi_1(s_1) + \phi_2(s_2) <= \phi_1(t_1) + \phi_2(t_2)
properties conjoint representation:
<= is a weak ordering on S
solvability (\exists s_2 for any condition (s_1, ?) = (t_1, t_2))
double cancellation
double cancellation:
when (s_1, r_2) <= (t_1, s_2)
and (r_1, s_2) <= (s_1, t_2)
then (r_1, r_2) <= (t_1, t_2)
"double cancellation" because we remove (s_1, s_2)
independence:
when (s_1, s_2) <= (t_1, s_2)
then (s_1, t_2) <= (t_1, t_2)
standard sequence:
for sequence s_1, s_1', s_1'', ...
it holds (s_1, s_2) ~ (s_1', t_2)
strictly bounded if some s_bottom <= s_1 <= s_top
additive representation:
sufficient conditions for (S_1 x S_2, <=)
a) <= is a weak order
b) solvability
c) double cancellation
d) every strictly bounded standard sequence is finite
(means scales cannot be infinitely small)
standard sequence if s_1^(i)
conjoint additive representation:
necessary conditions for (S_1 x S_2, <=)
a) <= is complete
b) let standard sequences of length k and permutations \pi_1 \pi_2
if (s_1^i, s_2^i) <= (s_1^j, s_2^j) for j permuted i
then (s_1^k, s_2^k) <= (s_1^1, s_2^1) for k permuted 1
b condition summarizes theoretic conditions
but hard to test empirically
measuring loundness:
loundness = (amplitude, frequency)
weak order:
every pair of sound comparable, transitive
solvability:
for given sound (a, f) and frequency (f')
come up with a' such equally lound
double cancellation:
empirical tests hard (as many combinations)
instead show conjoint commutativity
sound compression:
average DB & peak points plotted
in old song, average db lower & different peaks
in newer song, higher average db & peaks all on line
=> improved mastering likely increases sales
examples:
BMI:
weight / m^2
18.5 - 25 is OK
h-index:
plot #citations for each paper
fit largest square in there
45 means => 45 papers with each at least 45 citations
does not capture few high-valued, many low-valued
units & scales
===
scale types:
nominal (labels are all distinct)
ordinal (order of label preserved relative to empirical observation)
interval (distance between labels always same)
ratio (fixed reference point; like absolute 0)
absolute (fixed unit; like counting people)
analysis:
interval enables reasoning about differences
ratio enables multiples & fractions
example:
(mechanical) horsepower:
lifting 550 lbs up 1 feet in 1 second (=745.7 watt)
used as a unit for "rate of work"
other horsepowers:
hydraulic/air (rate of flow times pressure)
boiler (rate of heating)
electrical (directly defined in watt)
tax (power of cars)
historic developments:
want measurements to depend on environment (not authorities)
1795 decimal meter system (france)
1799 meter & kilogram (archives de la republique)
1875 May 20th agreement signed between 17 countries
introduced buro for administration (BIPM)
governed by conference of member states (CGPM)
adviced by scientific committee (CIPM)
1889 prototypes sanctioned (officially recognised)
1954 kelvin, ampere & candela as base units
1960 systeme international d'unites (SI units)
1971 mole introduced as seventh base unit
2018 new definitions for kilogram, ampere, kelvin, mole
(allowed to remove the need for prototypes)
2019 new SI base units in effect
SI base units:
since 2019, one natural constant per unit
time (t):
in seconds (s)
duration of ca 9 billion caesium radiation periods
9 192 631 770 Hz
length (l):
in meter (m)
length of path traveled by light in 1/299 792 458s
c / 299 792 458 for c speed of light
mass (m):
in kilogram (kg)
the mass of the international prototype of kilogram (until 2019)
h / (6.626 * 10^34) for h planck constant
thermodynamic temperature (T):
in kelvin (K)
the change of thermodynamic temperature
to result in energy kT = 1.38 * 10^-23 J
luminous intensity (I_v):
in candela (cd)
from source to given direction
with frequency 540 * 10^12
with radiant intensity of 1/683 watt per steradian
electric current (I):
in ampere (A)
flow of 1/(1.6 * 10^19) elementary charges e per second
amount of substance (n):
in mole (mol)
6.02 * 10^23 specified elementary entities
derived units:
SI base units are fixed
all other units can be derived from this
might have other name / symbol defined
examples:
square meter as area
metre pre second as velocity
kilogram per cubic meter as density
special examples:
weight (which is actually a force)
richter scale (log_10 (measurement / f(distance)))
frequencies (hertz for periodic processes, becquerel for random)
angular velocity (actually a ratio; has no unit)
unit of information:
information to be measured in bit
log(n) bits necessary for n items
constants:
planck constant (very hard to measure)
half-life (randomized)
day, moon cycle, year (varies)
\pi (infinite)
UNIX-time (1.1.1970)
legal & scientific:
want scientific input & legal backing
for meterology alone, 9 different institutions
financing BIPM:
the burea international des poids et mesures
capacity to pay:
GNI (gross national income)
PPP (purchasing power parity)
scaled to capita
BIPM donation:
fixed budget, payed in percentage by capacity to pay
upper limit (US at 22.000)
lower limit (small, poor countries 0.001)
adjustments (like "welcome discount")
thresholds:
poverty line:
60% of median household income of population
median guards against outlines
household includes "economies of scale", non-earners
process deviation:
manufacturing process might has some uncontrolled factors
want to reach 6 \sigma of correctness (management strategy)
basel accords:
formulated recommendation of how much money banks have to actually have
members of committee adapt recommendations into law
sensors & intruments
===
y = x + s + \epsilon
for y result, x measurement, s structural error, \epsilon random error
intrument:
sensor
transformation
display
read out
errors:
gross errors, blunders (inappropriate setup / operator)
conditions (heat, stability, ...)
range (measure room length vs distance to moon)
transmission, conversion (quicksilver)
feedback (
drift (changes in error with repeated measurements)
prevent errors:
conversion (change scale to normalize)
correction (remove predicted error)
calibration (reset to known measure)
length:
ruler, measurement band, roller
vernier (measure fraction of milimeter)
laser
angles (sextant, triangle ruler)
mass:
balance scale
spring scales (force => length)
strain gauge (force => resistance)
temperatue:
thermometer
bimetal (different metals bend differently)
thermocouple (current)
pyrometer (radiation)
weather:
temperature
humidity
precipitation
wind direction / speed
atmospheric pressure
height of trees:
given (laser) range finder & and angle measurement
tan measure length until tree middle
but high variation (small errors * angle has large effect)
sin measures length until tip of tree
but systematic error (underestimation of height of tree)
measure effort
===
classical test theory:
y = x + \epsilon (target observation is the value we observe)
\epsilon = 0 (no systematic error)
corr(x, \epsilon) = 0 (no correlation between value / error)
uncorrelated errors between items, repondents
averaging:
no systematic error => many measurements lead to good average
assumption is measurement on interval scale
likert scale:
to address single, one-dimensional concept
bipolar (+ and -), discrete levels (1, 2, ...) & centered (0 exists)
both positives & negative orientations
score is average (or total) level (aligned orientations)
example:
environmental consciousness, knowledge, behaviour
for each dimension measure likert scale
"we should doing more" (+), "we are doing enough" (-)
constructing scale:
create items pool (variation, coverage, refinement)
pretest (difficulty, selectivity, correlation)
selection (single dimension, variying difficulties, high selecitivity)
finalization (instruct terms, reduce order effects)
aftwards, report on observed properties
measurement criteria:
objectivity (usually granted if administred same way)
reliability (test-retest, parallel tests, split-half test)
validity:
content (theory, personal expertise)
criterion (correlation to other observable variable)
construct (consistency of associations)
guttman scale:
single, one-dimensional concept
items of increasing difficulty with binary answers
score is number of items checked
personal answered most correctly => best one
formally:
subjects S, items I, checkings Y \subseteq S \times I
can define consistency of guttman scale
(higher ratings only answered by better persons
reproducability = 1 - errors
thurstone scale:
single, one-dimensional concept
weighted items, binary answers
score is sum of weights of items checked
weights by expert assessment / pairwise comparison
example neighborhood:
feel like a stranger (-2)
no secrets (+3)
know everyone (+1)
no one notices if I'm gone (-3)
pairwise comparison:
dominance matrix ("prefer X over Y?")
normalized matrix (replaced counts by percentages)
with (observation - average) / standard diviation
get z-score (preference to other items in standard deviations)
use minimal z-score as 0-point (shift scale upwards)
item response theory:
latent trait (invisible) manifests observation probabilistically
plot & parameters:
ability plotted against probability of correct answer
guessing chance c_i (if too diffcult)
difficulty b_i (before random guess, after always correct)
discrimination a_i (how exact difficulty separates)
indices
===
indices:
item response theory:
latent variables (invisible)
result probabilistically in manifest variables
reflective indicators (descriptive):
latent variables (invisible)
assumed to effect in manifest variables
like prices of products reflect inflation (consumer price index)
formative indicators (normative):
latent variables (invisble)
declared to be cause of manifest variables
like IQ defines intelligence (IQ test)
index construction:
C-OAR-SE model:
Construction definition (object, attributes, ...)
Object representation (concrete through open-ended interviews)
Attribute classification (concrete through open-ended interviews)
Rater identification (experts)
Scale formation (combine items, pretest)
Enumeration (derive total score)
common composition methods:
index additive or multiplicative, unweighted or weigthed
like consumer price index is additive, weighted score
like swiss market index resuting is additive, unweighted score
like human development index is multiplicative, unweighted score
like water quality index is multiplicative, weighted score
consumer price index:
tries to measure inflation to guide monetary policy
how much products the money is actually worth
1000 fairly common items (milk, cars, rent, ...)
collected at 5400 locations in 11 regions
for each product, geometric weight taken
for each region/distribution channel, weighted sum
for each product category / consumption share, weighted sum
conjoint analysis:
latent preference (willingness to pay) for multi-featured product
features are package design, brand name, price, ...
study design:
give each participant exhaustive list
but too large, likely ranking takes too long
give each participant different sublist covering range
faster to do, can then run regression
regression:
rank defined as sum of weighted components
regression calculates weight
then can infer utility for each value of property
like price (low-middle-high), brand (name1-name2-name3)
event horizon telescope:
measurements of telescopes over the world
then combined into image of black hole
april 2019 first measurement, update april 2021
confirms that simulations were / are on the right track
big data:
3V (2013):
Volume (how much data there is)
Velocity (rate at which data arrives)
Variety (heterogeneity of data)
6V definition:
Veracity (correctness)
Variability (change over time)
Value (usefulness of data)
the end of theory:
enough data makes extrapolation unnecessary
models are not needed anymore
but disagreeable as observations likely biased
measurement vs datafication:
measurement part of datafication
measurement:
assignment of numerals
to represent properties
while preserving laws (homomophy)
measurement process:
many empirical testing to ensure representation makes sense
issues with existence, scales, meaningfulness, operationalization, bias
datafication:
assignment of values (not numerals anymore)
to represent properties (or values are used directly)
datafication critique:
on much less empirical grounds
much less reliable, systematic
but still used as basis for decisions as it were a measurement
measurement politics
===
measurement to understand phenomena better & predict future behaviour
helps us organize social structure & societies
but once number is accepted, then arising does no longer matter
numbers are compared "the same" with different validities
objectivity:
negotiation/agreement from same basis
required for coordination (trade, division of labor)
required for ethics (like impersonal trade due to objective price discrimination)
might be relative to specific group (required understanding of topic)
expert judgements where objectivity cannot be archived
usage:
engineering & science (natural)
bureaucracy & technocracy (social)
technocracy powered by objective expert opinions
further examples:
taxation (contribute according to principles, fairness)
insurance (pooling of risks)
risk & cost-benefit analysis
environmental policy
administrating goods 3000 BCE:
mesopotamia had warehouses & needed to keep track of inventory
objects with different indents (1, 10, 60, 120; bisexagesimal system)
clay table documents sign of product & quantity
may includes signature of authority
clay balls storing quantities exist too
rosetta stone (300 BCE):
three different translations of same text
divine pharao (clear leader makes god-given rule)
decentralized government (local rulers decided by pharao)
taxes to central government depending on population, land, state
governance-organised central storage of supplies
french engineering school (1794):
also motivated founding of ETH (1855)
introduced quantification to steer social structures
like fair price of rail travel (cost of operation / passengers)
like building canal (break even point after high investment)
factor in societal benefits (less traffic) and user behaviour (canal slower)
amalgamal:
argues that averaging cost/usage not fair due to different gains/efficiency
writes 600 pages about how to calculate price more faily
but concludes that it is likely still not enough
population-level averages:
crime rates (>1830)
for elite/rich people, police budget
unemployment rates (>1900)
for poor people, only relevant if social services exist
life insurance (>19th century GB):
no longer government, but private companies offering product
insure "law of nature" (sudden death, murder, ...) but not sickness
administrative basis uses general vital statistics
selective admission only for applicants passing medical tests
tools:
bushels of grain (GB middle ages):
way to measure grain (volumnia)
local reference at town hall ("more appropriate", local power demonstration)
price is fixed, but measurement can be influenced (wet, quality, ...)
declaration of grievances (french revolution):
demands (besides other) measurements should be democratized
leaded into meter / kilogram development, but unfamiliar for peasants
weather predictions nature:
off measurement (1993) in strasbourg yielded cyclone (which was never there)
lothar (1999) forecasting wrong due to wrong measurement on island
lead to damages of around 6 billion
weather derivatives traded on stock markets
measurement in social systems:
standardization:
precision, reliability not enough for validity, accuracy
want define variables (probability distributions that make sense to measure)
with units & standards, sensing & analysis
add legal framework & regulation
implications:
power (regulation, convincing laws)
scalability (able to master over many peasents)
universal competence (illusion of management pure by the numbers)
like impact management of scientifics with seemingly objective measurements
delegation of responsibility (as responsibility now delegated to numbers)
like (unknowingly) wrong/delayed numbers decision problem
behavioural adaptation (gaming the system)
like beginner PhDs writing survey articles (instead of seasoned researchers)
discrimination and behavior
===
reactions to measurements:
system is modified
do what is desired (which might not be a good thing)
do something that looks good in measurement system
they lie (create untrue measurements)
find ways to avoid being measured
example reading tests:
modified (easier tests in some schools)
do what desired (school focuses on reading)
something that looks good (training to pass tests)
lies (cheating scandals in many states)
avoidance (parents/teachers avoid tests)
university ranking:
indicators:
outcome (graduation/retention rate, income higher than parents)
student excellence (SAT scores, top 10%)
faculty (class size, salary, student/faculty ratio)
financial resources
alumni giving rate
expert opinion
northeast university (boston):
from place 162 to place 99 in 10 years, to place 40 into 25 years
building dorms to improve retention rate
hiring faculty (student/factory, hiring starts, high salary)
caps of 19 to classes (as extra points <20)
admission recruiting (finding good students)
many international students, only high-SAT- scores-domestic
incentives for worse students to enroll in spring
online advertising:
100 billion industry (2018), exponential growth
seach engine:
around 50% of market share
incremental ad clicks (total clicks - unpaid clicks) at 89%
controlled experiment:
for branded search, no effect
for new customers has positive return
for existing customers ROI negative
micro-targeting:
direct marketing (recency, frequency, monetary, customer churn)
political campaigns (agenda setting, tailored arguments)
commercial, political databases (cambridge analytica)
modeled data:
measurement/datafication:
direct observation
indirect
empirical regularity (statistics, machine learning)
assumed regularities:
prejudice, stereotypes
market segmentations
regularities:
city/country divide:
democrats/republicans
cheap housing initiative
cultural divide:
french part of switzerland for fair-food initiative
relation outcomes:
homophily (similar people attract each other)
social selection (similar attributes attract each other)
social influence (related people adapt to each other)
social circles:
individuals characterized by interactions in different social circles
multiple overlapping social circles might create stronger relationships
stronger relationships constrain decisions
estimate relationships:
count triangles (joint friends)
count quads (joint friends that do not know each others)
then count among top neighbours how many are common
evaluation:
can use the estimation to remove irrelevant edges
can deduce common attributes of groups if other members leak
cambridge analytica:
around 100k users used app, then could also access their facebook friends profiles
facebook shut down API capability, but too late
used to influence populistic elections
smart living
===
definitions:
by technology:
electronic (some technological device)
connected (to some network)
information processing (some actual data processed)
simplified human-computer interaction
context-aware
by behaviour:
reactive (behaviour reacts to environment)
adaptive (behaviour changes over time)
autonomous (no reliance on others)
smart homes:
comfort:
ease interaction with devices
for heating, lighting, watering, cleaning
like vacuum cleaner, lawn mower
monitoring:
use for surveillance
for security, occupancy, movement
like cameras, sensors
control:
use to control industrial applicances
for control, saving
like sensors
access:
to enter secured area
for entering house, authentication
like doors, locks, windows
quantified self:
indentification (DNA / biometrics)
status (weight, fitness)
activity (status time series)
nudging:
permanent:
"typical customers use.."
"in your neighbourhood typical consumption is..."
opt-in / opt-out
organ donation default
situated:
"your speed is (smilie/frauny)"
"you balance this month ..."
apps of amusement parks
model:
indirect measurement of behaviour to understand type
requires surveilled interaction forming a trace
then classifying / regressing over the trace
personalization/discrimination:
new / loyal / special / rich customers
driving history motivates car insurance
browser history hint online shopping desires
...
health insurance:
pooling risks
escalation levels:
nudging (brochures, health risks)
incentivizing (check-ups, benefits)
controlling (behaviour monitoring)
data access:
opendata.swiss
bitaboutme (analyse data of large services like spotify)
mitdata cooperative (controlled access to medical data for research)
GDPR & california laws