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Combinatorial properties of uniform designs and their applications in the constructions of low-discrepancy designsTang, Yu 01 January 2005 (has links)
No description available.
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Factorial linear model analysisBrien, Christopher J. January 1992 (has links) (PDF)
"February 1992" Bibliography: leaf 323-344. Develops a general strategy for factorial linear model analysis for experimental and observational studies, an iterative, four-stage, model comparison procedure. The approach is applicable to studies characterized as being structure-balanced, multitiered and based on Tjur structures unless the structure involves variation factors when it must be a regular Tjur structure. It covers a wide range of experiments including multiple-error, change-over, two-phase, superimposed and unbalanced experiments.
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CHOICE OF FACTOR ANALYTIC TECHNIQUE AS A FUNCTION OF RESEARCH GOALLenczycki, Frederick James, 1946- January 1975 (has links)
No description available.
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Factorial linear model analysis /Brien, Christopher J. January 1992 (has links) (PDF)
Thesis (Ph. D.)--University of Adelaide, 1992. / "February 1992." Includes bibliographical references (leaf 323-344). Also available electronically.
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Construction of uniform designs and usefulness of uniformity in fractional factorial designsQin, Hong 01 January 2002 (has links)
No description available.
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Transcriptional Profiling of Chromera velia Under Diverse Environmental ConditionsTayyrov, Annageldi 05 1900 (has links)
Since
its
description
in
2008,
Chromera
velia
has
drawn
profound
interest
as
the
closest
free--living
photosynthetic
relative
of
apicomplexan
parasites
that
are
significant
pathogens,
causing
enormous
health
and
economic
problems.
There--
fore,
this
newly
described
species
holds
a
great
potential
to
understand
evolu--
tionary
basis
of
how
photosynthetic
algae
evolved
into
the
fully
pathogenic
Apicomplexa
and
how
their
common
ancestors
may
have
lived
before
they
evolved
into
obligate
parasites.
Hence,
the
aim
of
this
work
is
to
understand
how
C.
velia
function
and
respond
to
different
environmental
conditions.
This
study
aims
to
reveal
how
C.
velia
is
able
to
respond
to
environmental
perturbations
that
are
applied
individually
and
simultaneously
since,
studying
stress
factors
in
separation
fails
to
elucidate
complex
responses
to
multi
stress
factors
and
un--
derstanding
the
systemic
regulation
of
involved
genes.
To
extract
biologically
significant
information
and
to
identify
genes
involved
in
various
physiological
processes
under
variety
of
environmental
conditions
(i.e.
a
combination
of
vary--
ing
temperatures,
iron
availability,
and
salinity
in
the
growth
medium)
we
pre--
pared
strand
specific
RNA--seq
libraries
for
83
samples
in
diverse
environmental
conditions.
Here,
we
report
the
set
of
significantly
differentially
expressed
genes
as
a
re--
sponse
to
the
each
condition
and
their
combinations.
Several
interesting
up--
regulated
and
down--regulated
genes
were
found
and
their
functions
and
in--
volved
pathways
were
studied.
We
showed
that
the
profound
regulation
of
HSP20
proteins
is
significant
under
stress
conditions
and
hypothesized
that
the--
se
proteins
might
be
involved
in
their
movements.
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Investigation of Factors Affecting the Emulsification of Skin Creams / Undersökning av faktorer som påverkar emulgeringen av hudkrämerBodell, Linnéa January 2019 (has links)
Skin creams are one of Sky Resources key products, they are produced as an oil-in-water(O/W) emulsion. In order to form an emulsion the oil and water needs to be able to mixtogether, for that to happen the oil and water droplets have to be broken up into very smalldroplets (colloids). There is a certain quality difference between the products from the research and developmentdepartment and the production department. The skin creams have been made through a given recipe, which contains a number of chemicalformulas. Tests have been preformed and the results have been examined. The creams werefirst made in the research and development department’s laboratory and then that small scaleproduction was taken to big scale production in the production department. The results havebeen documented and the parameters that have been examined are speed, temperature and timeto see how they affect the viscosity of the creams. A factorial experiment with three factors has been made. The factors are the time the skincream is homogenized, at what speed the cream is homogenized and at what temperature thephases are when the homogenizing is started. That gives a total of 8 creams from thelaboratory level. The viscosity of the skin creams have been measured after 10 minutes, 24 hours, 48 hours and1 week to see how it is increasing with time and if it is increasing at all or perhaps decreasing.After 1 week the creams were also studied under a microscope to see how successful theemulsions were with different factors. The fourth cream was the only cream from the laboratory that had a successful emulsion andstabilized viscosity. So the factors that are brought from laboratory to production is highhomogenization time, high homogenization speed and low temperature. Two differenthomogenizers were tried in production. The factor that affects the viscosity the most seems to be the temperature. After these tests,there is still a difference between the products from the research and development departmentand the production department even with the lower temperatures on the oil and water phases.The second cream from production and cream 4 from the laboratory show the smallest qualitydifference. More tests need to be done in the production department with differenthomogenization speed and time with the lower temperature to establish the result. / Hudkrämer är en av Sky Resources viktigaste produkter, de produceras som en olja-i-vattenemulsion(O/W). För att bilda en emulsion måste oljan och vattnet kunna blandas och för attdet ska hända måste olje- och vattendropparna brytas upp i mycket små droppar (kolloider). Det finns en viss kvalitetsskillnad mellan produkterna från forsknings- ochutvecklingsavdelningen och produktionsavdelningen. Hudkrämerna har gjorts genom ett givet recept, som innehåller ett antal kemiska ingredienser. Tester har utformats och resultaten har undersökts. Krämerna gjordes först i forsknings- ochutvecklingsavdelningen laboratorium och sedan togs den småskaliga produktionen tillstorskalig produktion i produktionsavdelningen. Resultaten har dokumenterats ochparametrarna som har undersökts är hastighet, temperatur och tid för att se hur de påverkarviskositeten hos krämerna. Ett faktorförsök med tre faktorer har gjorts. Faktorerna som använts är den tid hudkrämenhomogeniseras, i vilken hastighet krämen homogeniseras och vid vilken temperatur faserna ärnär homogeniseringen startas. Det ger totalt 8 krämer från laboratorienivån. Viskositeten hos hudkrämerna mättes efter 10 minuter, 24 timmar, 48 timmar och 1 vecka föratt se hur den ändras med tiden. Efter 1 vecka studerades också krämerna under ett mikroskopför att se hur lyckad emulsionerna var med olika faktorer. Den fjärde krämen var den enda krämen från laboratoriet som hade en lyckad emulsion och enstabil viskositet. Så de faktorer som tas från laboratorium till produktion är höghomogeniseringstid, hög homogeniseringshastighet och låg temperatur. Försök gjordes i tvåhomogenisatorer i produktionen. Den faktor som påverkar viskositeten mest är temperaturen. Efter dessa tester finns det dockfortfarande skillnader mellan produkterna från forsknings- och utvecklingsavdelningen ochproduktionsavdelningen, även med de lägre temperaturerna på olje- och vattenfaserna. Denandra krämen från produktion och kräm 4 från laboratoriet visar den minstakvalitetsskillnaden. Fler test måste göras i produktionsavdelningen med olikahomogeniseringshastigheter och tider med den lägre temperaturen för att fastställa resultatet.
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On the construction of balanced and partially balanced factorial experimentsChang, Cheng-Tao January 1982 (has links)
Satisfactory systems of confounding for symmetrical factorial experiments can be constructed oy the familiar methods, using the. theory of Galois fields. Although these methods can be extended to asymmetrical factorial experiments· (White and Hultquist, 1965; Raktoe, 1969) the actual construction of designs becomes much mor:e complicated for the general case and does not always lead to satisfactory plans. A different approach to this problem is to consider balanced factorial experiments (BFE), due to Shah (1958, 1960). Such BFE have a one-to-one relationship to EGD-PBIB designs given by Hinkelmann (1964). The problem of constructing BFE is then equivalent to constructing EGD-PBIB designs. A new method is proposed here to construct such designs. This method is based upon the so-called (1,1, ...,1)th-associate matrix and the operations symbolic direct product (SDP), generalized symbolic direct product (GSDP), symbolic direct multiplication (SDM), and generalized symbolic direct multiplication (GSDM). Let A₁ , A₂, ... , A<sub>n</sub> be n factors in a factorial experiment, with A<sub>i</sub> having t<sub>i</sub> levels (i = 1, 2, ... , n). It is shown that an EGD-PBIB design with blocks of size t<sub>i</sub> can be constructed, provided that t<sub>i</sub>ᵢ ≠ max ( t₁ , t₂, . . . , t<sub>n</sub> ). This method is more general and more flexible than the method of Aggarwal (1974) in that any two treatment combinations can be γ-th associates where γ has at least two unity components, and it can be shown the number of possible candidates for such is 2<sup>n-i l</sup> -1 for blocks of size t<sub>i</sub> (i = 1, 2, .. , n -1), where t₁ < t₂ <...< t<sub>n</sub>. This method is also more general than the Kronecker product method due to Vartak (1955}.
Two types of PBIB designs· are used for reducing the numbers of associa,te classes in EGD-PBIB designs. When the t<sub>i</sub> (i = 1, 2, ... , n) are equal, then some EGD-PBIB designs can be reduced to a hypercubic design. The EGD-PBIB designs with block size π [below jεA] t<sub>j</sub>, where A is an arbitrary subset of the set {1, 2, ... , n} can be reduced to newly introduced F<sub>A</sub><sup>(n)</sup>-type PBIR designs.
Since BFE results very often in designs with a large number of blocks, the notion of partial balanced factorial experiment (PBFE) has been introduced. It is investigated how such designs can be constructed and related to PBIB-designs similar to that between BFE and EGD-PBIB designs. Two new types of PBIB designs have been introduced in this context. / Ph. D.
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A graphical comparison of designs for response optimization based on slope estimationHockman, Kimberly Kearns January 1989 (has links)
The response surface problem is two-fold: to predict values of the response, and to optimize the response. Slope estimation criteria are well suited for the optimization problem. Response prediction capability has been assessed by plotting the average, maximum, and minimum prediction variances on the surface of spheres with radii ranging across the region of interest. Average and maximum prediction bias plots have recently been added to the spherical criteria. Combined with the prediction variance, a graphical MSE criterion results. This research extends these ideas to the slope estimation objective.
A direct relationship between precise slope estimation and the ability to pinpoint the location of the optimum is developed, resulting in a general slope variance measure related to E-optimality in slope estimation. A more specific slope variance measure is defined and analyzed for use in evaluating standard response surface (RS) designs,where slopes parallel to the factor axes are estimated with equal precision. Standard second order RS designs are then studied in light of the prediction and optimization goal distinction. Designs which perform well for prediction of the response do not necessarily estimate the slope precisely.
A spherical measure of bias in slope estimation is developed and used to measure slope bias due to model misspecification and due to the presence of outliers. A study of augmenting saturated orthogonal arrays of strength two to detect lack of fit is included as an application of a combined squared bias and variance measure of MSE in slope.
A study of the designs recommended for precise slope estimation in their robustness to outliers and to missing observations is conducted using the slope bias and general slope variance measures, respectively. / Ph. D.
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Economic expansible-contractible sequential factorial designs for exploratory experimentsHilow, Hisham January 1985 (has links)
Sequential experimentation, especially for factorial treatment structures, becomes important when one or more of the following, conditions exist: observations become available quickly, observations are costly to obtain, experimental results need to be evaluated quickly, adjustments in experimental set-up may be desirable, a quick screening of the importance of various factors is important. The designs discussed in this study are suitable for these situations. Two approaches to sequential factorial experimentation are considered: one-run-at-a-time (ORAT) plans and one-block-at-a-time (OBAT) plans.
For 2ⁿ experiments, saturated non-orthogonal 2ᵥⁿ fractions to be carried out as ORAT plans are reported. In such ORAT plans, only one factor level is changed between any two successive runs. Such plans are useful and economical for situations in which it is costly to change simultaneously more than one factor level at a given time. The estimable effects and the alias structure after each run have been provided. Formulas for the estimates of main-effects and two-factor interactions have been derived. Such formulas can be used for assessing the significance of their estimates.
For 3<sup>m</sup> and 2ⁿ3<sup>m</sup> experiments, Webb's (1965) saturated non-orthogonal expansible-contractible <0, 1, 2> - 2ᵥⁿ designs have been generalized and new saturated non-orthogonal expansible-contractible 3ᵥ<sup>m</sup> and 2ⁿ3ᵥ<sup>m</sup> designs have been reported. Based on these 2ᵥⁿ, 3ᵥ<sup>m</sup> and 2ⁿ3ᵥ<sup>m</sup> designs, we have reported new OBAT 2ᵥⁿ, 3ᵥ<sup>m</sup> and 2ⁿ3ᵥ<sup>m</sup> plans which will eventually lead to the estimation of all main-effects and all two-factor interactions. The OBAT 2ⁿ, 3<sup>m</sup> and 2ⁿ3<sup>m</sup> plans have been constructed according to two strategies: Strategy I OBAT plans are carried out in blocks of very small sizes, i.e. 2 and 3, and factor effects are estimated one at a time whereas Strategy II OBAT plans involve larger block sizes where factors are assumed to fall into disjoint sets and each block investigates the effects of the factors of a particular set. Strategy I OBAT plans are appropriate when severe time trends in the response may be present. Formulas for estimates of main-effects and two-factor interactions at the various stages of strategy I OBAT 2ⁿ, 3<sup>m</sup> and 2ⁿ3<sup>m</sup> plans are reported. / Ph. D.
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