Workplace exposure - Assessment of sampler performance for measurement of airborne particle concentrations - Part 3: Analysis of sampling efficiency data

This Technical Report specifies evaluation methods for analysing the data obtained from a type A test of aerosol samplers under prescribed laboratory conditions as specified in prEN 13205-2:2012.
The methods can be applied to all samplers used for the health-related sampling of particles in workplace air.

Exposition am Arbeitsplatz - Beurteilung der Leistungsfähigkeit von Sammlern für die Messung der Konzentration luftgetragener Partikel - Teil 3: Analyse der Daten zum Probenahmewirkungsgrad

Exposition sur les lieux de travail - Évaluation des performances des instruments de mesurage des concentrations d'aérosols - Partie 3: Analyse des données d'efficacité de prélèvement

Le présent rapport technique spécifie des méthodes d'évaluation pour l'analyse des données obtenues à partir d'un essai type A pour des dispositifs de prélèvement d'aérosols dans des conditions de laboratoire prescrites, telles que spécifiées dans la prEN 13205-2:2012.
Ces méthodes peuvent être appliquées à tous les dispositifs de prélèvement utilisés pour le prélèvement, à des fins sanitaires, des particules présentes sur les lieux de travail.

Izpostavljenost na delovnem mestu - Ocenjevanje lastnosti merilnikov za merjenje koncentracij lebdečih delcev - 3. del: Analiza podatkov o učinkovitosti vzorčenja

CEN/TR 13205-3 določa metode ocenjevanja za analizo podatkov, pridobljenih pri preskusu tipa A za merilnike aerosolov pod laboratorijskimi pogoji, določenimi v standardu EN 13205-2. Metode veljajo za vse merilnike, ki se uporabljajo za vzorčenje delcev v zraku, ki vplivajo na zdravje na delovnem mestu.

General Information

Status
Published
Publication Date
24-Jun-2014
Current Stage
6060 - Definitive text made available (DAV) - Publishing
Due Date
08-Apr-2013

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SLOVENSKI STANDARD
SIST-TP CEN/TR 13205-3:2014
01-september-2014
1DGRPHãþD
SIST EN 13205:2002
,]SRVWDYOMHQRVWQDGHORYQHPPHVWX2FHQMHYDQMHODVWQRVWLPHULOQLNRY]DPHUMHQMH

NRQFHQWUDFLMOHEGHþLKGHOFHYGHO$QDOL]DSRGDWNRYRXþLQNRYLWRVWLY]RUþHQMD

Workplace exposure - Assessment of sampler performance for measurement of airborne

particle concentrations - Part 3: Analysis of sampling efficiency data

Exposition am Arbeitsplatz - Bewertung der Leistungsfähigkeit von Sammlern für die

Messung der Konzentration luftgetragener Partikel - Teil 3: Analyse der Daten zum

Probenahmewirkungsgrad

Exposition sur les lieux de travail - Évaluation des performances des instruments de

mesurage des concentrations d'aérosols - Partie 3: Analyse des données d'efficacité de

prélèvement
Ta slovenski standard je istoveten z: CEN/TR 13205-3:2014
ICS:
13.040.30 Kakovost zraka na delovnem Workplace atmospheres
mestu
SIST-TP CEN/TR 13205-3:2014 en,fr,de

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST-TP CEN/TR 13205-3:2014
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SIST-TP CEN/TR 13205-3:2014
TECHNICAL REPORT
CEN/TR 13205-3
RAPPORT TECHNIQUE
TECHNISCHER BERICHT
June 2014
ICS 13.040.30 Supersedes EN 13205:2001
English Version
Workplace exposure - Assessment of sampler performance for
measurement of airborne particle concentrations - Part 3:
Analysis of sampling efficiency data

Exposition sur les lieux de travail - Évaluation des Exposition am Arbeitsplatz - Beurteilung der

performances des instruments de mesurage des Leistungsfähigkeit von Sammlern für die Messung der

concentrations d'aérosols - Partie 3: Analyse des données Konzentration luftgetragener Partikel - Teil 3: Analyse der

d'efficacité de prélèvement Daten zum Probenahmewirkungsgrad

This Technical Report was approved by CEN on 14 January 2013. It has been drawn up by the Technical Committee CEN/TC 137.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,

Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,

Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United

Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels

© 2014 CEN All rights of exploitation in any form and by any means reserved Ref. No. CEN/TR 13205-3:2014 E

worldwide for CEN national Members.
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Contents Page

Foreword ...................................................................................................................................................................... 3

Introduction ................................................................................................................................................................. 4

1 Scope .............................................................................................................................................................. 5

2 Normative references .................................................................................................................................... 5

3 Terms and definitions ................................................................................................................................... 5

4 Symbols and abbreviations .......................................................................................................................... 5

4.1 Symbols .......................................................................................................................................................... 5

4.1.1 Latin ................................................................................................................................................................ 5

4.1.2 Greek ............................................................................................................................................................. 10

4.2 Enumerating subscripts .............................................................................................................................. 11

4.3 Abbreviations ............................................................................................................................................... 12

5 Analysis of sampling efficiency data from a performance test according EN 13205-2........................ 12

5.1 General .......................................................................................................................................................... 12

5.2 Presumption of exactly balanced data ...................................................................................................... 13

5.3 Examples of balanced experimental designs ........................................................................................... 13

5.4 Analysis of efficiency data based on monodisperse test aerosols using the polygonal

approximation method ................................................................................................................................ 14

5.4.1 Statistical model for the efficiency values ................................................................................................ 14

5.4.2 Estimation of mean sampled concentration ............................................................................................. 15

5.4.3 Estimation of uncertainty (of measurement) components ...................................................................... 17

5.5 Analysis of efficiency data based on monodisperse or polydisperse test aerosols using

the curve-fitting method .............................................................................................................................. 27

5.5.1 Statistical model of the sampling efficiency data .................................................................................... 27

5.5.2 Estimation of mean sampled concentration ............................................................................................. 28

5.5.3 Estimation of uncertainty (of measurement) components ...................................................................... 30

Bibliography .............................................................................................................................................................. 46

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Foreword

This document (CEN/TR 13205-3:2014) has been prepared by Technical Committee CEN/TC 137

“Assessment of workplace exposure to chemical and biological agents”, the secretariat of which is held by

DIN.

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent

rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent rights.

This document together with EN 13205-1, EN 13205-2, EN 13205-4, EN 13205-5 and EN 13205-6

supersedes EN 13205:2001.

EN 13205, Workplace exposure — Assessment of sampler performance for measurement of airborne particle

concentrations, consists of the following parts:
— Part 1: General requirements;

— Part 2: Laboratory performance test based on determination of sampling efficiency;

— Part 3: Analysis of sampling efficiency data [Technical Report] (the present document);

— Part 4: Laboratory performance test based on comparison of concentrations;

— Part 5: Aerosol sampler performance test and sampler comparison carried out at workplaces;

— Part 6: Transport and handling tests.
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Introduction

EN 481 defines sampling conventions for the particle size fractions to be collected from workplace

atmospheres in order to assess their impact on human health. Conventions are defined for the inhalable,

thoracic and respirable aerosol fractions. These conventions represent target specifications for aerosol

samplers, giving the ideal sampling efficiency as a function of particle aerodynamic diameter.

In general, the sampling efficiency of real aerosol samplers will deviate from the target specification, and the

aerosol mass collected will therefore differ from that which an ideal sampler would collect. In addition, the

behaviour of real samplers is influenced by many factors such as external wind speed. In many cases there is

an interaction between the influence factors and fraction of the airborne particle size distribution of the

environment in which the sampler is used.

This Technical Report presents how data obtained in a type A test (see EN 13205-2) can be analysed in order

to calculate the uncertainty components specified in EN 13205-2.

The evaluation method described in this Technical Report shows how to estimate the candidate sampler’s

sampling efficiency as a function of particle aerodynamic diameter based on the measurement of sampling

efficiency values for individual sampler specimen, whether all aspirated particles are part of the sample (as for

most inhalable samplers) or if a particle size-dependent penetration occurs between the inlet and the

collection substrate (as for thoracic and respirable samplers).

The document shows how various sub-components of sampling errors due non-random and random sources

of error can be calculated from measurement data, for example, for individual sampler variability, estimation of

sampled concentration and experimental errors.
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1 Scope

This Technical Report specifies evaluation methods for analysing the data obtained from a type A test of

aerosol samplers under prescribed laboratory conditions as specified in EN 13205-2.

The methods can be applied to all samplers used for the health-related sampling of particles in workplace air.

2 Normative references

The following documents, in whole or in part, are normatively referenced in this document and are

indispensable for its application. For dated references, only the edition cited applies. For undated references,

the latest edition of the referenced document (including any amendments) applies.

EN 1540, Workplace exposure — Terminology

EN 13205-1:2014, Workplace exposure — Assessment of sampler performance for measurement of airborne

particle concentrations — Part 1: General requirements

EN 13205-2:2014, Workplace exposure — Assessment of sampler performance for measurement of airborne

particle concentrations — Part 2: Laboratory performance test based on determination of sampling efficiency

3 Terms and definitions

For the purpose of this document, the term and definitions given in EN 1540, EN 13205-1 and EN 13205-2

apply.

NOTE With regard to EN 1540, in particular, the following terms are used in this document: total airborne particles,

respirable fraction, sampling efficiency, static sampler, thoracic fraction, measuring procedure, non-random uncertainty,

random uncertainty, expanded uncertainty, standard uncertainty, combined standard uncertainty, uncertainty (of

measurement), coverage factor, precision and analysis.
4 Symbols and abbreviations
4.1 Symbols
4.1.1 Latin
relative lognormal aerosol size distribution, with mass median aerodynamic
A D ,σ , D
( )
A A
diameter and geometric standard deviation , [1/µm]
D σ
A A

NOTE The word “relative” means that the total amount of particles is unity [-], i.e. A D ,σ , D d D= 1.

( )
A A
integration of aerosol size distribution A between two particle sizes, [-] –
(polygonal approximation method)

integration of aerosol size distribution A between two particle sizes, calculated

t, p
using set t of the simulated test particle sizes, [-] – (polygonal approximation
method)

left right top front coefficients in Formula (19) to estimate the test aerosol concentration at a

b ,b ,b ,b ,b
ipr ipr ipr
ipr ipr

specific sampler position e.g. in a wind tunnel based on nearby concentrations (to

the left, right, above and in front of) the sampler measured by thin-walled sharp-

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edged probes, [-]
regression coefficient q for calibration of particle counter/sizer or similar,
[dimension depends on particle counter], (curve-fitting method)
sampled relative aerosol concentration, calculated to be obtained when using the

candidate sampler individual s, for aerosol size distribution A at influence variable

value , [-] – (curve-fitting method)
sampled relative aerosol concentration, calculated to be obtained when using the
is,t

candidate sampler individual s, for aerosol size distribution A at influence variable

value , using simulated set t of test particle sizes, [-] – (curve-fitting method)

mean sampled relative aerosol concentration, calculated to be obtained when
i,t

using the candidate sampler, for aerosol size distribution A at influence variable

value , using simulated set t of test particle sizes, [-] – (polygonal
approximation method)

correction factor for the measured efficiency values if the total airborne aerosol

Ref
is[ r ]
concentration varies between repeats, [-] – (curve-fitting method)
aerodynamic diameter, [µm]
mass median aerodynamic diameter of a lognormal aerosol size distribution A,
[µm]
mass median aerodynamic diameter a of a lognormal aerosol size distribution A,
[µm]
aerodynamic particle size of calibration particle c (c=1 to ), [µm] – (curve-
c N
fitting method)
diameter of the end of the integration range of the sampled aerosol, [µm] –and H
max
diameter of the beginning of the integration range of the sampled aerosol, [µm]
min
aerodynamic diameter of test particle p (p=1 to ), [µm]
simulated test particle size, [µm]
t, p
aerodynamic particle size of small particles u (u=1 to ) for which the sampling
efficiency is known to be , [µm]– (curve-fitting method)

expectation value of the efficiency for test particle size p at influence variable

value , [-] – (polygonal approximation method)
est inlet
fitted sampling efficiency curve (of the inlet stage) of the candidate sampler
individual s at influence variable value , [-] – (curve-fitting method)
est pen
fitted penetration curve (of the separation stage) of the candidate sampler
individual s at influence variable value , [-] – (curve-fitting method)
est tot

fitted sampling efficiency curve (of the combined inlet and penetration stages) of

, [-] – (curve-
the candidate sampler individual s at influence variable value
fitting method)
est

fitted sampling efficiency curve of the candidate sampler individual s at influence

is,t
variable value using simulated set t of particle sizes, [-] – (curve-fitting
ς N
i P
method)
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experimentally determined efficiency value, with notation for polygonal
ips[r]
e and

ipr[s] approximation and curve-fitting methods, respectively. The subscripts are for

influence variable value , particle size p (p=1 to ), sampler individual s (s=1
ς N
i P
to ) and repeat r (r=1 to ), [-] – (notation for polygonal approximation and
N N
S R
curve-fitting methods, respectively)
known efficiency value for small particle sizes, [-] – (curve-fitting method)
LoF test variable for “lack of fit” for the regression model for the sampling
is E

efficiency of candidate sampler individual s and influence variable value , [-] –

(curve-fitting method)

test variable for the check whether the individual sampler variability exceeds that

CandSamplVar

of the uncertainty of the calculated concentrations, for influence variable value

, [-]
ν ν
F ν ,ν
( )
N D
0.95 N D 95-percentile of F distribution with and degrees of freedom, [-]

functions (of Ξ ) used to build the regression model of the efficiency curve (index

f(Ξ)
k=1 to ), [-] – (curve-fitting method)
inlet

functions (of ) used to build the regression model of the efficiency curve of the

f (Ξ)
inlet stage (index k=1 to ), [-] – (curve-fitting method)
pen
functions (of ) used to build the regression model of the penetration curve of
f (Ξ)
the separation stage (index k=1 to ), [-] – (curve-fitting method)

uncertainty inflation factor for the “lack of fit” uncertainty of the regression model

LoF
for candidate sampler individual s and influence variable value , [-]

uncertainty inflation factor for the “pure error” uncertainty of the regression model

for candidate sampler individual s and influence variable value , [-]
left right top front
nearby thin-walled sharp-edged probe concentrations measured in order to be
h , h , h , h
ip ip ip ip

able to estimate the test aerosol concentration at a specific sampler position, e.g.

in a wind tunnel (to the left, right, above and in front of) the candidate sampler

3 3
(see Formula (19)), [mg/m ] or [1/m ] depending on the application
est total airborne aerosol concentration estimated from the sharp-edged probe
ipr

values; the subscripts are for influence variable value i (i=1 to N ), particle size

p (p=1 to N ) and repeat r (r=1 to N )
P R
number of sizes for calibration particles – (curve-fitting method)

number of regression coefficients for calibration of particle counter/sizer or similar

– (curve-fitting method)
number of values for the other influence variables at which tests were performed
number of regression coefficients in the model for the candidate sampler –
(curve-fitting method)
inlet
number of regression coefficients in the model (inlet stage) for the candidate
sampler – (curve-fitting method)
pen
number of regression coefficients in the model of the penetration through the
separation stage for the candidate sampler – (curve-fitting method)
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number of test particle sizes
number of repeats per tested individual sampler
number of reference samplers (thin-walled sharp-edged probes) used per
Ref
experiment – (polygonal approximation method)

number of repeats at particle size p for candidate sampler individual s at influence

Rep
variable value – (in the polygonal approximation method equals the
ς N
i Rep
number of repeats, whereas in the curve-fitting method it equals the number of
repeats per candidate sampler individual)
recalculated number of repeats if the variation among candidate samplers
Rep
statistically does not exceed that of the uncertainty of the calculated
concentration – (curve-fitting method)
number of candidate sampler individuals – (in the polygonal approximation
method equals the number of sampler individuals tested per repeat, whereas
in the curve-fitting method it equals the total number of sampler individuals
tested.)
number of aerosol size distributions A according to EN 13205-2:2014, Table 2
number of simulated sets of test particle sizes
Sim N
number of repeats per sampler individual tested – (polygonal approximation
method, see Formula (24))
recalculated number of candidate samplers if the variation among candidate
samplers statistically does not exceed that of the uncertainty of the calculated
concentration – (curve-fitting method)
number of different sampler individuals tested – (polygonal approximation
TSI
method, see Formula (24))
number of small particle sizes at which the efficiency is known to be – (curve-
fitting method)
nominal flow rate of sampler, [l/min]

pooled relative standard deviation of the estimate of the thin-walled sharp-edged

RSD ς
Est[Ref] i
probe concentration at influence variable , [-] – (polygonal approximation
method)
pooled relative standard deviation of the concentrations sampled by the
RSD ς
CandSampl i
candidate sampler at influence variable , [-], (polygonal approximation method)
pooled relative standard deviation of the thin-walled sharp-edged probe
RSD ς
Ref i
concentrations at influence variable , [-], (polygonal approximation method)

residual standard deviation of the calibration of particle counter/sizer or similar,

CalibrRes
[dimension depends on particle counter] – (curve-fitting method)
combined non-random and random uncertainty (of measurement) of the
CandSampl-Calibr
calculated sampled concentration, due to the calibration uncertainty of the
experiment, for aerosol size distribution A at influence variable value , [-]
uncertainty of calculated sampled concentration due to uncertainty of efficiency
CandSampl-Eff
for aerosol size distribution A at influence variable value , [-] (polygonal
approximation method)
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uncertainty of calculated sampled concentration (at the inlet stage) due to
CandSampl-Eff(inlet)

uncertainty of efficiency for aerosol size distribution A at influence variable value

, [-] – (polygonal approximation method)
uncertainty of calculated sampled concentration (at the separation stage) due to
CandSampl-Eff(pen)

uncertainty of efficiency for aerosol size distribution A at influence variable value

, [-] – (polygonal approximation method)
random uncertainty (of measurement) of the calculated sampled concentration,
CandSampl-ModelCalc
aerosol size distribution A at
due to the uncertainty of the fitted model, for the a
influence variable value , [-]
uncertainty of calculated sampled concentration due to polygonal approximation
CandSampl-PGapprox
for aerosol size distribution A at influence variable value , [-] – (polygonal
approximation method)
uncertainty of calculated sampled concentration due to uncertainty of measured
CandSampl-Ref

total airborne concentrations for aerosol size distribution A at influence variable

value , [-] – (polygonal approximation method)
uncertainty of calculated sampled concentration (at the inlet stage) due to
CandSampl-Ref(inlet)

uncertainty of measured total airborne concentrations for aerosol size distribution

A at influence variable value , [-] – (polygonal approximation method)
uncertainty of calculated sampled concentration (at the separation stage) due to
CandSampl-Ref(pen)

uncertainty of measured total airborne concentrations for aerosol size distribution

A at influence variable value , [-] – (polygonal approximation method)
random uncertainty (of measurement) of the calculated sampled concentration,
CandSampl-Variability
ia th
due to individual sampler variability, for the a aerosol size distribution A and
influence variable value , [-]
RMS value of all relative uncertainties of the actual sizes of the monodisperse
test aerosols, [-]

relative uncertainty of the actual size of calibration particle c, [-] – (curve-fitting

method) [If the particle size is specified to be within the relative size interval ,

then can be calculated as .]
s s =β 3
Dc Dcc

relative uncertainty of the actual size of monodisperse test aerosol p, [-] – [If the

particle size is specified to be within the relative size interval , then can
±β s
p D p
be calculated as .]
s =β 3
D p

standard deviation pertaining to the possible lack of fit of the regression model for

LoF
the Ω -transformed sampling efficiency of candidate sampler individual s at
influence variable value , [-] – (curve-fitting method)
random uncertainty (of measurement) of the calculated sampled concentration,
ModelCalc-LoF

due to the “lack of fit” of the model for candidate sampler individual s, for aerosol

size distribution A at influence variable value , [-]
random uncertainty (of measurement) of the calculated sampled concentration,
ModelCalc-pe

due to the “pure error” of the experiment for candidate sampler individual s, for

aerosol size distribution A at influence variable value , [-]
“pure error” standard deviation of the Ω -transformed experimental data of
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candidate sampler individual s at influence variable value , [-] – (curve-fitting

method)
random uncertainty (of measurement) of the calculated sampled concentration,
RefCorr

due to the correction of measured sampler efficiency values because of variations

in e.g. time, for candidate sampler individual s, at influence variable value , [-]

residual standard deviation of the regression model for the Ω -transformed
res

sampling efficiency of candidate sampler individual s at influence variable value

, [-] – (curve-fitting method)

residual standard deviation of the model for the estimation of the total airborne

res(Est[Ref])
3 3

aerosol concentration for particle size p at influence variable , [mg/m ] or [1/m ]

depending on the application – (polygonal approximation method)
“pure error” sum of squares of the -transformed experimental data of candidate
sampler individual s at influence variable value , [-] – (curve-fitting method)
residual sum of squares of the regression model for the -transformed sampling
res
efficiency of candidate sampler individual s at influence variable value , [-] –
(curve-fitting method)
standard uncertainty (of measurement) of the calculated sampled concentration
CandSampl-ModelCalc

(random errors), due to the uncertainty of the fitted model, calculated as the RMS

of the corresponding relative uncertainties over all aerosol size distributions
A at influence variable value , [-]
standard uncertainty (of measurement) of the sampled concentration (random
CandSampl-Variability
errors) due to differences among candidate sampler individuals at influence
variable value , [-]

weighted average of integration of aerosol size distribution A between two particle

sizes, [-] – (polygonal approximation)

weighted average of integration of aerosol size distribution A between two particle

t, p

sizes, calculated using set t of the simulated test particle sizes, [-] – (polygonal

approximation method)
instrument response of calibrated particle counter/sizer or similar, [dimension
depends on particle counter] – (curve-fitting method)
random number with a normal distribution, with expectation value equal to zero
t, p
and standard deviation equal to unity, [-]
4.1.2 Greek

specified size range within which actual particle size is found with high probability for

monodisperse test aerosols with nominal particle size , [µm]

relative adjustment of calibration particle size c to obtain a smooth spline, [-] – (curve-

δ D
fitting method)

random experimental error at particle size p, repeat r and candidate sampler s at

and
ipr[]s
ips[]r

influence variable value , [-] – (notations for polygonal approximation and curve-fitting

methods, respectively)

value of other influence variable values, as for example wind speed and mass loading of

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sampler, with values for i=1 to , [various dimensions]
i value of another influence variable

NOTE The dimension of each ς depends on the influence variable. The dimension selected, however, is not critical, as

the values are never part in any calculation.
est

regression coefficient number k for candidate sampler individual s at influence variable

isk

value , [dimension depends on selected regression model for the sampling efficiency]

– (curve-fitting method)
est inlet

regression coefficient number k for model of inlet stage efficiency for candidate sampler

isk

individual s at influence variable value , [dimension depends on selected regression

model for the sampling efficiency] – (curve-fitting method)
est pen

regression coefficient number k for model of penetration through the separation stage

isk

for candidate sampler individual s at influence variable value , [dimension depends on

selected regression model for the sampling efficiency] – (curve-fitting method)
number of degrees of freedom for the “pure error” standard deviation of the

experimental data of candidate sampler individual s at influence variable value –

(curve-fitting method)

number of degrees of freedom for the residual standard deviation of the regression

res

model for the -transformed sampling efficiency of candidate sampler individual s at

influence variable value , (curve-fitting method)

transformation of particle size, [dimension depends on transformation] – (curve-fitting

method)
inlet

transformation of particle size for inlet stage, [dimension depends on transformation] –

...

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