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Pitch Your Research in Statistics 2017 Friday, October 6 th 2017, 1.30 – 5.30pm, University of Fribourg, Pérolles 90, Fribourg PROGRAM 13:30-14:00 Welcome coffee 14:00-14:45 Laurent Donzé: Why fuzzy logic in statistics? An introduction 14:45-15:15 Redina Berkachy: Demonstration with R how to analyse data in a fuzzy perspective 15:15-15:45 Coffee, demos, and poster session 15.45-16.45 Short presentations Corinne Hager Jörin: The different interpretations of 2×2 contingency tables Nayla Sokhn: Structure and Dynamics of niche-overlap graphs Martin Huber: Detecting heterogeneous effects of an experimental educational intervention based on machine learning 16:45-17:30 Aperitif and discussion

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Page 1: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

Pitch Your Research in Statistics 2017 Friday, October 6th 2017, 1.30 – 5.30pm,

University of Fribourg, Pérolles 90, Fribourg

PROGRAM

13:30-14:00 Welcome coffee

14:00-14:45 Laurent Donzé: Why fuzzy logic in statistics? An introduction

14:45-15:15 Redina Berkachy: Demonstration with R how to analyse data in a

fuzzy perspective

15:15-15:45 Coffee, demos, and poster session

15.45-16.45 Short presentations

Corinne Hager Jörin: The different interpretations of

2×2 contingency tables

Nayla Sokhn: Structure and Dynamics of niche-overlap graphs

Martin Huber: Detecting heterogeneous effects of an experimental

educational intervention based on machine learning

16:45-17:30 Aperitif and discussion

Page 2: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

Page 2 of 4

Abstracts

Session 1 Laurent Donzé: Why fuzzy logic in statistics? An introduction

Abstract:

The fuzzy set theory can help the statistician to model fuzziness embedded in data. It is extremely well suited for applications involving natural language, and for modelling non-stochastic uncertainties. We focus our attention on data for which imprecision, vagueness or fuzziness, are coming from linguistic variables, derived from linguistic questionnaires. First, we define "fuzzy numbers" and explain the main operators of fuzzy logic. Follows a description of the so-called "fuzzy process". We end our talk by the presentation of several applications of fuzzy statistics.

Rédina Berkachy: Demonstration with R: How to analyse complex survey data in a fuzzy perspective?

Abstract:

Considering our interest in studying questionnaires composed by linguistic variables e.g. categorical variables using fuzzy logic and applying it in real life data, we show how to compute and analyse this type of data in a fuzzy perspective. We propose an individual and global evaluations of the so-called "linguistic questionnaires" using the signed distance defuzzification method, and we provide an application of these evaluations on real data coming from a survey of the financial place of Zurich, Switzerland. At last, our most recent research showed that one can extend statistical inference methods in the classical theory to the fuzzy one. We supply as instance an example of hypotheses testing in this context.

Page 3: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

Page 3 of 4

Session 2 Corinne Hager Jörin: The different interpretations of 2×2 contingency tables

Abstract:

Three different examples of 2x2 tables are presented: one based on the total number fixed design, one based on the one margin fixed design and one based on paired data. The corresponding null hypothesis and the statistical test used to analyse these data are explained. Although the 2x2 table has a simple form, the analysis of such data is not obvious because it depends on the design of the study.

Nayla Sokhn: Structure and Dynamics of niche-overlap graphs

Abstract:

Niche-Overlap graphs depict the competition between species in the nature. We explored these networks from three different perspectives: algorithmic, structure and dynamics. We developed a novel algorithm to detect efficiently chordless cycles and showed that these cycles are numerous in niche-overlap graphs. We moreover investigated the factors influencing their presence, pointing out the important role of omnivores in these graphs. By quantifying the competition between species, we revealed the prevalence of weak links in chordless cycles, and their strong effect in reducing the number of chordless cycles when they are removed from the network. We simulated the abundance of species over time using systems of Lotka-Volterra differential equations. We then related the persistence of species to their structural properties inside the networks using the generalized linear model. Results revealed a strong significant influence of the degree and to a lesser extent of the frequency of chordless cycles and of clustering coefficient.

Martin Huber: Detecting heterogeneous effects of an experimental educational intervention based on machine

learning

Abstract: We present an experimental evaluation of the impact of an information leaflet about environmental implications of coffee production on the awareness about such environmental issues as well as self-assessed buying behaviour among high school and university students in Bulgaria. Specifically, we combine our randomized experiment with a machine learning method, namely regression trees, to investigate whether the causal effects of the leaflet are heterogeneous across specific subgroups of students. We find that w.r.t. creating awareness about environmental issues, the leaflet had the largest (and statistically significant) impacts on older students, in particular those going to non-technical universities, while the effects on younger (i.e. high school) students were mostly not statistically significantly different from zero.

Page 4: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

Page 4 of 4

Posters

Title Presented by Modelling neural circuit sensorimotor transformations in

drosophila larvae Lucia de Andres

Quel air respirent les Suisses romands dans leurs habitations

économes en énergie ? Corinne Hager Jörin

Characterization of double positive and double negative

feedback loop Xavier Richard

Impact of organizational and psychographic variables on

perceptions of work-life conflict

Mathias Rossi and

Mélanie Thomet

Indoor air quality at Perollino day nursery Pascale Voirin

Demos Title Presented by

Interactive Web Apps presentation using Shiny and R Nayla Sokhn

Jupiterhub ASAM Group

Page 5: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

MOD E L LIN G N E U R A L C IR C U I T SEN S OR I M OTORT R A N S F O R M AT I O N S I N DROSOPH ILA L A R VA ELucía de Andrés1, Christian Mazza1, Walter Senn2 and Simon Sprecher11Department of Biology, University of Fribourg (Switzerland) 2Deparment of Physiology, University of Fribourg (Switzerland)[email protected]

Experimental larval navigation

Behavioural set up

Larvae arepresented with alight input thatcomes from aprojector at 45°

Modelling larval behaviour

No stimuli: Brownian movement

-10 -5 5 10 15

5

10

-4 -2 0 2 4

0.1

0.2

0.3

0.4

1. Gaussiandistribution ofrandom numbers

2. Random walkin 1D. Randomwalks of 10.000steps each

2000 4000 6000 8000 10000

-150

-100

-50

50

100

3. Random walk in2D. Lists of pair ofnumber using twoindependentgaussians

Metropolis, a biased random walk

The metropolis algortithm can be used toasses how often larvae go against the gradient.

According to this model a system can goupwards in energy with a probabilty:

E = Energy, extrinsic part

0.5 1.0 1.5 2.0 2.5 3.0

0.2

0.4

0.6

0.8

1.0

Steepness of the field

Larval “internal energy”, ability to go against the field

T = Temperature, intrinsic part

Biological purpose of this intrinsic randomness?

The safest behaviour is to take risks

ü To find the best minima you have to go up

ü Trade-off: speed-efficiency

ü Randomness is robust, maybe genetically hard-wired

Fields in the real world are more complicated, they have local and global minima

s

Larvae would feel astrong force that woulddirect their movements“downwards” in thefield while still beingquite random

Possible fields:Light, odour, gustation

A random walk can be biased in a field

Larval response to light: important parameters

Steepness of light gradient, intensity

Larval internal energy, “temperature”Length

Intensity

• Elizabeth A. Kane et al., 2013. Sensorimotor structure of drosophila larva phototaxis. Proceedings of the National Analysis of Sciences 110.• Alex C. Keene et al., 2011. Seeing the light: photobehaviour in fruit fly larvae. Trends in Neuroscience 35. Bibliography

Important navigation parameters

NI=-1NI≈-0.2

How “efficient” are larval navigations?

Larvae consistently avoid light, yet theirmovements seem to be very inefficient for thispurpose, unexpectedly stochastic

No

stim

uli

Ligh

tstim

uli

Larvae have a better navigation indexwhen the steepness of the gradient andthe intensities are higher.

Larval “internal energy” (T) can beestimated from their navigation indexusing the Metropolis algorithm

g1 g3 g6 g9

g1

g3g5 g6

g7

g9

The filtersnamed as g1-g9are all linear andhave increasingintensity andincreasingsteepness.

Larvae are willing to take more risks whenthe slope and the intensities are higher.

g9g6

g3g1

g1g3

g5

g6 g7

g9

Page 6: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

QUEL AIR RESPIRENT LES SUISSES ROMANDS DANS LEURS HABITATIONS ÉCONOMES EN ÉNERGIE ? Mesqualair, un projet Ra&D collaboratif pour y répondreJ. Goyette Pernot1, C. Hager Jörin2, H. Niculita Hirzel3 et V. Perret4

[email protected] - Les mesures prises en faveur des économies d’énergie dans le bâtiment ne risquent-t-elles pas d’induire une détérioration du cadre bâti, neuf ourénové, au détriment de la santé des occupants ?Méthode - Trois campagnes de mesures accompagnées d’un questionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre à cette question. Radon,composés organiques volatils (COV) et moisissures ont été quantifiés et identifiés dans un grand nombre de villas. Deux campagnes de mesures ont porté entre2013 et 2015 sur la mesure officielle du radon effectuée dans une pièce de vie du bâtiment durant 3 mois dans 650 bâtiments. Parmi ceux-ci 214 étaient desbâtiments neufs ou rénovés ayant obtenu le label MINERGIE® et les 436 autres ont bénéficié du Programme Bâtiment dans le cadre d’un assainissementénergétique partiel ou global. Entre septembre 2015 et février 2016, la troisième campagne s’est focalisée sur la mesure des polluants chimiques à savoir lescomposés organiques volatiles (COV) et les aldéhydes (ALD) et des bio-contaminants dans un peu moins de 200 habitations parmi les bâtiments déjàcomptabilisés.

Conclusion – Il apparait clairement que les bâtiments construits ou rénovés en respectant des prescriptions adéquates de renouvellement d’air telles quelles lesont avec le label Minergie® sont aussi les bâtiments qui présentent a priori le moins de pathologies. Une grande attention est donc requise lors de la rénovationénergétique de bâtiments traditionnels. Le fait de les isoler sans intégrer de concept de ventilation/aération rime à les enfermer sous une cloche. Ces nouvellesconditions risquent à moyen terme d’induire une détérioration significative des conditions de vie à l’intérieur ainsi que la dégradation du bâtiment lui-même. Desrecommandations de bonnes pratiques sont adressées tant aux professionnels de la construction qu’aux occupants de ces habitations. La rénovation du parcimmobilier, enjeux majeur des années à venir, nécessite une extrême vigilance de la part de toutes les parties.

•Contact établis par les Services cantonaux de l’énergie ainsi que l’agence Minergie® •Mesures effectuées sur une base

volontaire après inscription •Soumission systématique d’un

questionnaire détaillé de 120 questions adaptées au type d’habitation et aux usages des occupant-e-s (taux de réponse effectif 95%)•Un tiers des habitations

mesurées ont obtenu le label Minergie

•Concentration moyenne de radon mesurée en Suisse romande de 180 Bq/m3 d’air avec médiane à 71, min à 5 et max à 4’284 Bq/m3

•Effet du type de bâtiment hautement significatif (p< 0.001)•Effet hautement significatif de la

zone de risque (p< 0.001) telle que définie par l’OFSP. Forte empreinte de la géologie•Effet de l’âge tous types de

bâtiments confondus et de la présence d’une cave naturelle hautement significatif (p< 0.001)

•73 maisons ont retourné 110 prélèvements de surface – 22 provenant de 15 bâtiments Minergie et 88 venant de 58 logements rénovés•32% des prélèvements de surface venant de bâtiments Minergie et 56% de ceux effectués dans les bâtiments rénovés sont positifs pour le développement de moisissures

•Maisons Minergie moins affectées • La chambre est contaminée dans les

bâtiments rénovés • La cave est le seul endroit dans

lequel tous les types de bâtiments présentent des moisissures

• Identification de 73 substances présentes au moins à une reprise sur les capteurs•COV totaux (eq toluène) compris

entre 25 et 2’292 mg/m3. Environ 92% des cas sont inférieurs à la recommandation de 1’000 mg/m3 de l’OFSP et 12% dépassent le seuil de 750 mg/m3 suggéré par Minergie-Eco•Toluène attendu dans tous les

prélèvements en raison de sa source extérieure. Teneurs usuelles de l’ordre de 20 – 50 mg/m3 dans air urbain pollué par le trafic routier•Formaldéhyde toujours inférieur à

125 mg/m3 recommandé par l’OFSP•D-Limonène présent dans 76% des

cas. Terpène associé à des parfums et fragrances de produits de nettoyage• Influence significative du garage

intégré sur la qai (COV tot et BTEX: 2 à 3 fois supérieurs mais demeurent inférieures aux seuils recommandés par le label GI)

166

24

91

110

149

10924

91

110 149

109

Répartition cantonale des bâtiments selon leur type Distribution de fréquence des concentrations en radonselon le type de bâtiment

70 maisonsdont 7 Minergie

Dosimètre passif pourla mesure du radon

Boitier exposé à la poussière durant 3 mois

Lingette pour épousseter après 1 semaine

Badge à charbon actif pour la mesure passive des COV

Distribution des habitations sur le territoire Suisse romand selon le type de bâtiment considéré

Situation de fin d’été:•157 bâtiments échantillonnés en septembre

- 25% de bâtiments neufs- 75% de bâtiments rénovés

• Esp. dominante (>70%) d’été : Cladosporium•Niveau de contamination similaire entre le

neuf et le rénové et d’une tranche d’âge àl’autre. Source extérieure probable.

Situation d’hiver:•160 bâtiments échantillonnés durant 3 mois

d’octobre à décembre- 26% de bâtiments neufs- 74% de bâtiments rénovés

• Esp. dominante (>70%) d’hiver: Pénicillium•Parmi les bâtiments construits entre 1975 et

1999, une plus grande proportion présentent un problème de moisissures. Source intérieure cachée?

Radon - Distribution des concentrations mesurées selon le type de bâtiment et le niveau de risque

Moisissures - Identification d’espèces dominantes dans la poussière époussetée selon le type de bâtiment et la saison

Moisissures – Présence/absence effective de moisissures prélevées sur lame selon le type de bâtiment

COV totaux – Distribution des concentrations mesurées selon les types de bâtiments

2013-2016

1

3

2

4

Lingette pour épousseter après 1 semaine

Boitier exposé à la poussière durant 3 mois

Fin d’été Hiver

Lame pour prélèvement sur surface

0%

5%

10%

15%

20%

25%

30%

Aspergillus

Cladosporium

Penicillium

0%

5%

10%

15%

20%

25%

30%

20

00

-20

15

19

75

-19

99

19

50

-19

74

avan

t 1

95

0

Aspergillus

Cladosporium

Penicillium

Page 7: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

CHARACTERIZATION OF DOUBLE POSITIVE AND DOUBLE NEGATIVEFEEDBACK LOOP

{ XAVIER RICHARD, BENOÎT RICHARD, CHRISTIAN MAZZA, JAN RELOF VAN DER MEER } UNIVERSITY OF FRIBOURG

INTRODUCTIONAccording to [1], a feedback "refers to a situationin which two (or more) dynamical systems areconnected together such that each system influ-ences the other". A dynamical system is a systemwhose behavior change over time. A feedback ispositive when a perturbation of a system increasethe response of the other. In contrast, a feedbackis negative when a perturbation of a system de-crease the response of the other. Double positiveand double negative feedbacks loops are the sim-plest systems in which two stable states can arise.

STABLE STEADY STATESThe steady states are the solutions of the systemwhen the equilibrium is reached:{

fp,n(A,B) = 0

gp,n(A,B) = 0(3)

A steady state s = (As, Bs) is a stable node ifall the eigenvalues of Js, the Jacobian matrix ofthe system above evaluated at s = (As, Bs) havenegative real part. If all the eigenvalues of theJacobian matrix are positive, the steady state iscalled an unstable node. A system with two sta-ble steady states is called bistable.

REFERENCES

[1] Karl Johan Aström and Richard M. Murray. Feed-back Systems. Princeton University Press, 2th edi-tion, 2009.

[2] D. Gonze and M. Kaufman. Theory of non-lineardynamical systems. University Lecture, 2015.

FUTURE RESEARCHThe next step of this research is to characterize double positive and double negative feedbacks whenan extra feedback (either positive or negative) is added to one of the species. The systems of equationsbecome much more complex and news tools such as interval analysis are needed in order to characterizethose systems. An other further work is the characterization of three interacting species.

CONTACT INFORMATIONEmail [email protected] Department of Mathematics

Chemin du Musée 23CH-1700 Fribourg

Phone +4126 300 9201

PHASE PLANE ANALYSISIn order to see graphically the dynamic of the sys-tem, a phase plane analysis can be perform forgiven parameters c1 and c2 in equations (1) and(2). When the arrows are going in the direction ofan intersection point, this point is a stable node.When the arrows are going away from an inter-section point, this point is an unstable node.

0 2 4 6 8A (a.u)

0

2

4

6

B (

a.u

)

7B2

1 +B2 A= 0

5A2

1 +A2 B= 0

0 2 4 6 8A (a.u)

71 +B2 A= 0

51 +A2 B= 0

Figure 1: Phase plane analysis of a double posi-tive feedback (left) and of a double negative feedback(right). The parameters are in both cases c1 = 7 andc2 = 5. The two stable curves are defined by eq. (3).

The next step is to determine for which parameterc1 and c2 those systems are bistable.

BISTABILITY RANGE

0 1 2A (a.u)

0

1

2

B (a

.u)

0 1 2A (a.u)

0 1 2A (a.u)

Crossing pointTangency point

Figure 2: Change of the stable curves when the param-eters goes from c1 = c2 = 1.8 (left, one intersection), toc1 = c2 = 2.2 (right, three intersections). A tangencypoint is encountered for c1 = c2 = 2 (center).

Having two or more intersections is a sufficientcondition for bistability. The fact that deformingthe stable curves to change the number of inter-section entail the creation of a tangency point al-lows to find the boundary of the bistable region.

0 5 10 15 20c1 (a.u)

0

5

10

15

c 2 (a

.u)

bistable configurationanalytic solution

0 5 10 15 20c1 (a.u)

bistable configurationanalytic solution

Figure 3: Bistability range of a double positive feed-back (left) and a double negative feedback (right). Eachdot represents a configuration which has been testednumerically to be bistable and the solid line the ana-lytic solutions corresponding to the boundary betweenbistable and non bistable area.

The boundary is found as a parametric curve. Fora double positive feedback loop it yields{

a(λ) =(1 + λ−2

)√4 (1 + λ2)

−1 − 1

b(λ) = 4λ(3− λ2

)−1

and for a double negative feedback loop{a(λ) =

(1 + λ2

)√(1 + λ2) (3λ2 − 1)

−1

b(λ) = 4λ3(3λ2 − 1

)−1.

STOCHASTIC SIMULATIONThe Gillespie’s algorithm was used to performstochastic simulations in order to confirm thebistability of the system and to see how "deep"each stable node is. A total of 10000 simulationswere ran, with A and B ranging from 0 to 100 asinitial condition.

0 4 8 12 16A (a.u)

0

4

8

12

B (

a.u

)

0 4 8 12 16A (a.u)

density

Figure 4: Stochastic simulations of a double positivefeedback (left) and a double negative feedback (right).The parameters corresponding to the equations (1) and(2) are c1 = 7 and c2 = 5. In each cases, the valueswith the higher density are those corresponding to thesection "phase plane analysis".

In the case of a double positive feedback loop ,the point p = (0, 0) is an absorbing point i.e.if the simulation is running a certain time, bothspecies A and B will be stuck in (0, 0). In the caseof a double negative feedback, there is always aprobability to switch from one stable node to theother.

CONCLUSIONBased on this research, the following conclusionsarise:

• The two systems can be bistable.• The analytic solutions match the numerical

computations.• The stochastic simulations show how

"deep" is each stable node.

MODEL

Double positivefeedback loop

A B

Double negativefeedback loop

A B

A double positive feedback can be expressed bythe following differential equation system:

dA

dt=

c1B2

1 +B2−A = fp(A,B)

dB

dt=

c2A2

1 +A2−B = gp(A,B)

(1)

A double negative feedback can be expressed bythe following differential equation system:

dA

dt=

c11 +B2

−A = fn(A,B)

dB

dt=

c21 +A2

−B = gn(A,B)

(2)

Page 8: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

I m p a c t o f o r g a n i z a t i o n a l a n d p s y c h o g ra p h i c v a r i a b l e s o n p e r c e p t i o n s o f w o r k ‐ l i f e c o n f l i c t

Contact:

Mélanie Thomet and Mathias Rossi

Ins tute for Social and Public Innova on

HES‐SO Haute école spécialisée de Suisse occidentale

School of Management Fribourg

[email protected] / [email protected]

+41 (0)26 429 63 96

Purpose 

The objec ve of this research is to understand what means are available to an

organiza on to prevent the psychosocial risks arising from a conflict between

work and personal life (which is a combina on of psychosocial risk factors), focu‐

sing on different organiza onal variables (autonomy, job requirements, colleague

support, hierarchy and organiza on), as well as a psychographic variable (the

sense of coherence).

Hypothesis 

General hypothesis: There is a percep on of conflict between work and perso‐

nal life, which is more or less present based on the percep on of the work situa‐

on.

Specific hypothesis:

H1: The higher the level of sense of coherence, the lower the percep on of a

conflict between work and personal life.

H2: The higher the level of autonomy within the workplace, the lower the percep‐

on of work‐life conflict.

H3: The higher the percep on of job requirements, the greater the percep on of

work‐life conflict.

H4: The higher the percep on of support from colleagues and employee's hie‐

rarchy, the lower the perceived conflict between work and personal life.

H5: The higher the percep on of organiza onal support, the lower the perceived

conflict between work and personal life.

Methodology  

The quan ta ve diagnosis was carried out in a representa ve sample of 60 indi‐

viduals. A total of 44 people par cipated in this study, with a response rate of

73%. The number of surveys handled sta s cally remains of the order of 44.

The quan ta ve survey consisted of 62 ques ons: socio‐demographic ques ons

(age, gender, presence of children and sector) ; Antonovskys Life Orienta on

Ques onnaire (seven‐point seman c differen al scale with two terms (or

phrases) disposed at the extremes) ; Job Content Ques onary (JCQ) of Karasek

(four‐point Likert scale) ; Eisenberger scale (five‐point Likert scales) ; Geurts

scale, named SWING (four‐point Likert scale).

Results (socio‐demographic variables) 

Organiza onal variables (perceived autonomy,

perceived task demands, support from colleagues, hierarchy and perceived

organiza on)

Psychographic variable (sense of coherence)

Possible Influence (to check)

Suggested influence

Percep on of a conflict between work and personal

life more or less strong

Sociodemographic variables (age, gender,

presence of children, sector of ac vity)

Sociodemographic variables Significant Trends

Sector *: in this sector the job requirements perceived are higher

> Posi ve impact of work on privacy (in terms of propor ons)

Fisher’s Exact Test : p‐value = 0.066)

Age: over 35 years <Psychological demand (in terms of pro‐

por ons) Fisher’s Exact Test : p‐value = 0.052

Presence of children: no children > Psychological demand (in terms of pro‐

por ons) Fisher’s Exact Test : p‐value = 0.057

Gender: Women

<Social support (in terms of propor ons and medians)

Fisher’s Exact Test : p‐value = 0.054 Wilcoxon test : p‐value = 0.088

Main contribu ons 

This study highlighted the impact of certain organiza onal variables (job require‐

ments, social support and organiza onal support) and the sense of coherence in

the percep on of work‐life conflict.

It opens up new perspec ves for concrete recommenda ons for organiza ons.

 

 

Main references:

‐ TREMBLAY, Diane‐Gabrielle, 2012. Ar culer emploi et famille: le rôle du sou en

organisa onnel au cœur de trois professions.

‐ GANA, Kamel, LOUREL, Marcel et WAWRZYNIAK, Sophie, 2005. L’Interface « vie

privée ‐ vie au travail » : adapta on et valida on française de l’échelle SWING

(Survey Work ‐ Home Interac on‐Nijmegen).

‐ OWENS, Bradley et WADSWORTH, Lori, 2007. The effects of social support on

work‐family enhancement and work‐family conflict in the public sector.

‐ VAN WASSENHOVE, Wim, 2014. Modèle de Karasek.

‐ DEBRAY, Caroline, [et al. ] 2014. Le lien entre le sen ment de cohérence, le stress

et la santé chez le dirigeant de PME: résultats d’étude.

Results (valida on of hypothesis) 

Hypothesis Valida on Sta s cal tests used

General hypothesis Accepted

H1: level of sense of coherence Accepted (for

nega ve effect)

H2: level of autonomy Declined

H3: percep on of job requirements Accepted (for

posi ve effect)

H4: percep on of social support Accepted (for

nega ve effect)

H5: percep on of organiza onal support Accepted (for

posi ve effect)

‐ Shapiro‐Wilk ; Q‐Q‐plot

‐Test on the average of a star ng variable

(test on the right)

‐ Correla on test (Pearson and Spear‐

man)

‐ Par al correla on

Pitch your Research in Sta s cs 2017, Swiss 

Sta s cal Society and FRI SAM workshop, 

Fribourg, 06.10.2017  

Page 9: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

Results (valida on of hypotheses) 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Variables Descrip ve sta s cs Test of

normality Principal rela ons to be verified Other rela onships to verify

Effet_nega f

Average = 7.91 Median = 7.00 Variance = 9.34

Standard devia on = 3.056

Minimum = 3; Maximum = 18

Min. possible = 0 Max. possible = 24

95% confidence interval = [6.98; 8.84]

No Shapiro‐Wilk: W = 0.916, p‐value = 0.004

Test on the average of a star ng variable (nega ve effect of work on privacy). Test on the right (it is assumed that the average of the police concerning the nega ve effect of work on privacy is greater

than 6). S0 = 4.14

p‐value = 0 The general hypothesis is accepted.

Effet_posi f

Average = 7.34 Median = 8.00

Variance = 10.509 Standard devia on =

3.242 Minimum = 1; Maximum

= 14 Min. possible = 0

Max. possible = 15 95% confidence interval =

[6.36; 8.33]

Yes Shapiro‐Wilk: W = 0.971, p‐value = 0.326

/

Demande_ psychologique

Average = 23.59 Median = 24.00

Variance = 11.922 Standard devia on =

3.453 Minimum = 17; Maximum

= 29 Min. possible = 9

Max. possible = 36 95% confidence interval =

[22.54; 24.64]

Yes Shapiro‐Wilk: W = 0.959, p‐value = 0.114

Correla on with the nega ve effect of labor (Spearman): correla on coefficient = 0.228

p‐value = 0.137 Correla on with the posi ve effect of labor (Pearson):

correla on coefficient = 0.372 p‐value = 0.013

H3 hypothesis is accepted for the posi ve effect of labor.

Sou en_social

Average = 9.98 Median = 10.00 Variance = 1.325

Standard devia on = 1.151

Minimum = 7; Maximum = 12

Min. possible = 3 Max. possible = 12

95% confidence interval = [9.63; 10.33]

No Shapiro‐Wilk: W = 0.925, p‐value = 0.007

Correla on with the nega ve effect of labor (Spearman): correla on coefficient = ‐0.30

p‐value = 0.048 Correla on with the posi ve effect of labor (Spearman):

correla on coefficient = 0.280 p‐value = 0.066

H4 hypothesis is accepted for the nega ve effect of labor.

La tude_ decisionnelle

Average = 79.82 Median = 80.00

Variance = 76.245 Standard devia on =

8.732 Minimum = 60; Maximum

= 94 Min. possible = 42 Max. possible = 96

95% confidence interval = [77.16; 82.47]

Yes Shapiro‐Wilk: W = 0.968, p‐value = 0.246

Correla on with the nega ve effect of labor (Spearman): correla on coefficient = ‐0.136

p‐value = 0.378 Correla on with the posi ve effect of labor (Pearson):

correla on coefficient = 0.214 p‐value = 0.163

H2 hypothesis is denied.

Correla on with social support (Spearman): correla on coefficient = 0.411

p‐value = 0.006 Decisional la tude and social support =

posi ve linear rela onship

Sou en_ organisa onnel

Average = 37.30 Median = 38.50

Variance = 39,794 Standard devia on =

6.308 Minimum = 21; Maximum

= 52 Min. possible = 11 Max. possible = 55

95% confidence interval = [35.38; 39.21]

Yes Shapiro‐Wilk: W = 0.967, p‐value = 0.228

Correla on with the nega ve effect of labor (Spearman): correla on coefficient = ‐0.041

p‐value = 0.793 Correla on with the posi ve effect of labor (Pearson):

correla on coefficient = 0.297 p‐value = 0.050

H4 hypothesis is accepted for the posi ve effect of labor.

Sen ment_ coherence

Average = 67.75 Median = 67.00

Variance = 39.262 Standard devia on =

6.266 Minimum = 57; Maximum

= 87 Min. possible = 13 Max. possible = 91

95% confidence interval = [65.84; 69.66]

Yes Shapiro‐Wilk: W = 0.959, p‐value = 0.123

Correla on with the nega ve effect of labor (Spearman): correla on coefficient = ‐0.347

p‐value = 0.021 Correla on with the posi ve effect of labor (Pearson):

correla on coefficient = ‐0.068 p‐value = 0.662

H1 hypothesis is accepted for the nega ve effect of labor.

Correla on with psychological demand (Pearson):

correla on coefficient = ‐0.297 p‐value = 0.050

Sense of coherence and psychological de‐mand = nega ve linear rela onship

Par al correla on between sense of co‐

herence, psychological demand and nega ve effect: none

Page 10: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

INDOOR AIR QUALITY AT PEROLLINO DAY NURSERYR-SÛR – a collaborative R&D project at the school of engineering and architecture of Fribourg (HEIA//FR)

J. Goyette Pernot, P. Voirin, M. Capitan, Lucy Linder, P. Kuonen, O. Vorlet

The aim of this R‐SÛR project is to demonstrate the feasability and the benefit of keeping a constant check, withremote monitoring, on the indoor air quality (IAQ) in a building accommodating young children (0‐5). The ideais to ensure a 100% healthy environment in the medium term, as this young population is very sensitive and canbe affected in its physical and psychological development. This topic represents a true public health issue.

With this in mind, a major step will be to raise awareness and educate the nursery staff on this issue in thefuture.

Measurements at Perollino Development of a prototype at HEIA//FRThe Amstein&Walthert fireflies device used is a multi‐sensor platformthat measures :

The prototype consists of two sensors boards protected by a box (see picture above) and isconnected to a portable computer by USB. The communication architecture relies on POP‐C++objects and can be generic, independently of the actual sensors used; a driver must be availablefor each sensor.To get and save measurements, we address two databases:• a local database with raw records, that we can question by SQL queries (Structured query

language)• A remote database, hosted by the BBData platform.

This platform offers also an interface to displayeasily the recorded sensors measurements.This is accessible from anywhere on the internetnetwork

https://r‐sur.daplab.ch

Coldest week

Too dry conditions 

Pérollino opening

Cleaning and moving in

WHO recommandation for CO2

Increase over 1000 ppm

Source: meteoblue, Fribourg

The comparison of the data collected with our prototype and the flyerflies system is quitepromising; even if there is a shift, the relative behaviour is very close, as for CO2 for instance:

Carbon dioxide, volatile organic compounds, fine particles, radon are part of the indoor pollution sources of of the air breathed all day long.

Up to now, this study has mainly been developed into two parallel parts :• measuring, in collaboration with Amstein &Walthert, the usual indicators with a standard measurement device, to get a first characteristic signature of Perollino nursery air• designing at HEIA‐FR a measurement prototype, as open and flexible as possible, and testing the measurement recording, the data transfer as well as the data analysis

PITCH YOUR RESEARCH IN STATISTICS 2017Friday, October 6 , UNIFR

• Temperature (°C)• Relative humidity (%)• Carbon dioxide CO2 (ppm)• Noise level (dB)

• Light volatile organic compounds (μg/m3)• Total volatile organic compounds (μg/m3)• Fine particles, 0.5 to 1.5 μm (Mpart/m3)

We can observe portions of rawdata directly:

We have implemented several types of sensors, commercially available: calibrated or not, more or less cheap, in order to test what we can measure dynamically. The main advantage, compared to the fireflies platform, is that we can monitor the different sensors, add or remove a sensor according to our wishes or results, thus improving our prototype design with time.

CO2 data recordedwith the fireflies

CO2 data recordedwith the prototype

Further work:Study of sensors calibration – investigation of different sensors – improvement of prototype autonomy and measurement robustness

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Scree plot

We can also summarize the data – 7 variables (see above) observed on 3409 individuals(different timing) – with principal component analysis (PCA). This method consists in  building virtual variables to best explain the variance contained in the data. These virtual variables, the components, are linear combinations of the true variables, defined mathematically as the eigen vectors of the correlation matrix. The graph on the right shows the projection of individuals in the plane of components 1 and 2; Arrows are the projections of true variables in the same plane. Their lengths and relative positions show which variables are important and which are correlated.  

Further work:Validation of the hypothesis of normality for PCA method.Investigation of classification methods to characterize these time series, with the objective to get identified profiles of indoor air quality in a specific building, in particular at Perollino.

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part

Relative magnitude (eigenvalues) of the components

Individuals and variables in the 1‐2 components plane

Page 11: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

Pitch Your Research in Statistics

University of Fribourg (Switzerland)Bd de Pérolles 90

CH – 1700 Fribourg (Switzerland)

Interact – Analyze – Communicate

Make interactive web applications forvisualizing dataBring R data analysis to lifeCombine the computational power of R withthe interactivity of the modern web

http://diuf.unifr.ch/asam

@asamunifr

Page 12: Pitch Your Research in Statistics 2017 - FRISAM · - Trois campagnes de mesures accompagnées d’unquestionnaire détaillé, se sont succédées entre 2013 et 2016 pour répondre

ASAM Research GroupDepartment of Informatics

University of Fribourg (Switzerland)Bd de Pérolles 90

CH – 1700 Fribourg (Switzerland)

Launched by the ASAM Group

Give students a set of interactive courses inlive environmentsGive students the possibility to create theirown notebooksAccess to standard datascience softwares(R, Python, Julia)Access to numerous data sets

https://asam-group.ch

@asamunifr