Physical model Physical model is a smaller or

ﻣﺪﻝ ﺳﺎﺯی Physical model: Physical model is a smaller or larger physical copy of an object. The object being modeled may be small (for example, an atom) or large (for example, the Solar System). 6

ﻣﺪﻝ ﺳﺎﺯی Examples of physical models: 7

ﻣﺪﻝ ﺳﺎﺯی Conceptual model: A conceptual model is a model made of the composition of concepts, which are used to help people know, understand, or simulate a subject the model represents. The term conceptual model may be used to refer to models which are formed after a conceptualization or generalization process. 8

ﻣﺪﻝ ﺳﺎﺯی Examples of conceptual models: 9

ﻣﺪﻝ ﺳﺎﺯی Mathematical model: 10

ﻣﺪﻝ ﺳﺎﺯی Mathematical model: A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science). 11

ﻣﺪﻝ ﺳﺎﺯی Model classifications in mathematics: v Linear vs. nonlinear, v Deterministic vs. stochastic or probabilistic. 12

Difference between Deterministic and stochastic (probabilistic) models: 14

ﻣﺪﻝ ﺳﺎﺯی Example of statistical model: 15

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 20

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 21

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 26

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 31

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی SPSS > Analyze >> General Linear Model >> Univariate 32

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 33

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 34

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی : (Multiple linear regression model) ﻣﺪﻝ ﺭگﺮﺳیﻮﻥ ﺧﻄی چﻨﺪگﺎﻧﻪ 35

(Statistical Modeling) ﻣﺪﻝ ﺳﺎﺯی آﻤﺎﺭی 36

Explanatory variables used in the Modeling modeling process: (Statistical ) ﺳﺎﺯی آﻤﺎﺭی Age: Subject’s age Gender: (0=Male, 1=Female) Married: (0=No, 1=Yes) Income. C: Income in College (in thousands) Health. C: Score on Health Inventory in College Child. C: Number of Children while in College Life. Sat. C: Score on Life Satisfaction Inventory in College Spirit. C: Score on Spirituality Inventory in College SES: Socio Economic Status of Parents Smoker: (0=No, 1=Yes) Finish: Finish the program in college (0=No, 1=Yes) Income: Income seven years after College (in thousands) Dependent variable: Life. Sat 7: Score on Life Satisfaction Inventory seven years after College 38 ﻣﺪﻝ