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(1)

Man Machine Interface

Research

Human Virtual Machine

Three Types of Theories

Yu-Hui Tao

2012/2/25

(2)

Theories Base – Explanatory

Theory

Explanatory Theories :

Lawrence, R. (2004). Understanding fatal assault of children: a

typology and explanatory theory, Children and Youth Services

Review, 26 837– 852.

Martinsons, M. G., Westwood, R. I. (1997). Management

information systems in the Chinese business culture:

An explanatory theory, Information & Management, 32,

215-228.

Krauss, D. A. et al. (2000). Beyond prediction to explanation in

risk assessment research: A comparison of two explanatory

theories of criminality and recidivism, International Journal of

Law and Psychiatry, 23(2), 91–112.

(3)

Theories Base – Empirical

Laws

Empirical Laws:

Kobayashi, Y & Kikuzawa, K. (2000). A single

theory explains two empirical laws applicable to

plant populations,

Journal of Theoretical Biology

,

205, 253-260.

Kral, J. (1986). Empirical laws of software

development and their implications, Computer

Physics Communications 41, 385-391.

Chen, Y.-S. & Chong, P. (1992). Mathematical

modeling of empirical laws in computer

applications: A case study.

Computers & Mathematics

with Applications

,

24(7), 77-87.

(4)

Theories Base – Dynamic

Models

Dynamic Models:

Chetty, V. K. & Heckman, J. J. (1986). A dynamic m

odel of aggregate output supply, factor demand and

entry and exit for a competitive industry with het

erogeneous plants, 

Journal of Econometrics

,

33(1-2), 1986, 237-262.

(5)

Lawrence, R. (2004). Understanding fatal assault of children: a

typology and

explanatory theory

, Children and Youth Services

Review, 26, 837– 852. (pp. 845-846)

“Explanatory paradigms have arisen within the fields

of

criminal, legal, medical, public health,

psychological, and sociological research

. “

“Each paradigm offers an

explanation at varying

levels of abstraction

from the

immediate incident

.”

“Radiating out from the child, theories encompass the

fatal incident

, the

family

,

the perpetrator

and

his or

her relevant characteristics

, the

victim–perpetrator

relationship

, and the

social context of the incident

(including the gender, social class, and socio-cultural

dimensions)”

“As well as

operating at different levels of

explanation

, different theories account for

different

types of fatal assault

.”

(6)

Martinsons, M. G., Westwood, R. I. (1997). Management information systems

in the Chinese business culture: An

explanatory theory

, Information &

Management, 32, 215-228. (p. 224)

“The explanatory theory presented

here also suggests that factors such

as

paternalism, personalism and high

context communications

will shape

the future use of MIS in the Chinese

business.”

(7)

Krauss, D. A. et al. (2000). Beyond prediction to explanation in risk assessment

research: A comparison of two

explanatory theories

of criminality and recidivism,

International Journal of Law and Psychiatry, 23(2), 91–112.. (p. 93)

“Two explanatory, theory-driven models

of criminality,

the competitively

disadvantaged male (CDM) model

based on evolutionary psychology and

the work of A. J. Figueredo, and a

self-control model

based on the ideas of

Michael Gottfredson and Travis Hirschi,

have been sufficiently developed to

allow

more rigorous empirical testing

of

their assumptions and hypotheses..”

(8)

Kobayashi, Y & Kikuzawa, K. (2000). A single theory explains

two

empirical laws applicable to plant populations, Journal of Theoretical Biol

ogy, 205, 253-260. (pp. 253-254)

“Data from even-aged plant populations satisfy two empirical laws.” 1. “Reciprocal equation of the yield density effect and the reciprocal

yield law…”” data from populations of the same species that are of the same age, but of different density, satisfy the following

equation:.”

“where >o(t) is the yield (total biomass) per unit area from the

population of density, or number of plants per unit area, o, at time t, and where the parameters A(t) and B(t) are functions of time t and independent of density o.”

2. “The second law, …considers the intra-population weight hierarchy.” “data from an even-aged plant monoculture will satisfy the following equation for any given n that is positive and not larger than the

density of the population o:”

where the parameters b(t) and a(t) are functions of time t and independent of n.

(9)

Kral, J. (1986).

Empirical laws

of software development and

their implications, Computer Physics Communications 41,

385-391.

(

pp. 385-386)

Large data bodies

on various software projects made it

possible to use the

methods of mathematical statistics

and to

find out important

empirical laws.

This research area is often

called

software physics

owing to the similarity of the used

research philosophy to the one used in the (

experimental)

physics

.

“The

laws of effort

are the crucial problem of software

engineering. Halstead [1] developed

the estimation

.”

Effort = constant * Length * Nopnd *Vionsz/Vrndsz * log(V),

where V = Vionsz + Vrndsz.

Vionsz=c

1

* (Length)

a

,

Vrndsz = c

2

* (Length)

b

,

Nopnd = * Length”

(10)

Chen, Y.-S. & Chong, P. (1992). Mathematical modeling of

empirical laws

in computer applications: A case study.

Computer

s & Mathematics with Applications

,

24(7), 77-87.(

p. 77)

 “This first law of Zipf focuses mainly on words of high frequency.”

"if one takes the words making up an extended body of text and ranks them by frequency of occurrence, then the rank r multiplies by its frequency of occurrence, g(r), will be approximately

constant."

 “Zipf's second law [1] was motivated by two remarkable phenomena associated with words of very low frequency of

occurrence.” “If we observe and analyze the frequency of different words in long sequences of text and count f(n) as the number of words appearing n times, then the ratio of the number of words occurring once, f(1), to the number of different words in the text is approximately a constant 0.5; also, the values of f(n)/f(1), n = 1,2, 3, 4, 5, show an approximate pattern of 1, 0.33, 0.17, 0.10 and 0.07.”

 “Grosch's law of economics of scale in computers.” “"there is a

fundamental rule ... giving added economy only as the square root of the increase in speed--that is, to do a calculation ten times as cheaply, you must do it one hundred times as fast.“

(11)

Chetty, V. K. & Heckman, J. J. (1986).

A dynamic model

of aggr

egate output supply, factor demand and entry and exit for a co

mpetitive industry with heterogeneous plants, 

Journal of Econo

metrics

, 33(1-2), 1986, 237-262. (

p. 237)

“a dynamic model of

entry and exit of firms

and

plants of

firms

in a

competitive industry

with

heterogeneous

productive units

. The model

generalizes Houthakker’s

Cobb-Douglas model

to a

dynamic setting with firm

investment

.”

“Unlike

conventional rigid lag models

, the derived lag

structure in our model

depends on the economic history

of

the industry. Nonetheless, the model is

empirically

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