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Carlo Magno, PhD,[object Object],Counseling and Educational Psychology Department,[object Object],Path Analysis,[object Object]
What is path analysis,[object Object],Uses regression models to test theories of causal relationships among a set of variables.,[object Object],The researcher specify explicitly the presumed causal relationship s among the variables.,[object Object],This technique help logically clear theories of variable relationships. ,[object Object],Not only searches association of variable relationships but also for causal relationships.,[object Object]
Path models,[object Object],Observed variables are represented in a rectangle (manifest variables).,[object Object],Causality is indicated by a single-headed arrow,[object Object],Correlation is indicated by a bent double-headed arrow,[object Object],Error terms are place at each endogenous variable,[object Object],Parental monitoring,[object Object],e1,[object Object],e2,[object Object],Motivation,[object Object],Achievement,[object Object],Intelligence,[object Object]
Variables,[object Object],Explaining variable (independent variable, exogenous variable),[object Object],Outcome variable (dependent variable, endogenous variable),[object Object],Intervening variable (mediating),[object Object],Effects:,[object Object],Direct Effects,[object Object],Indirect effects,[object Object],Type of Variables:,[object Object],Latent (factor),[object Object],Manifest (observed/subscales) ,[object Object],Residual variable (error terms/measurement error),[object Object]
Path coefficients,[object Object],Standardized regression coefficients for the regression equation for the response variable to which the arrows point.,[object Object],Interpretation: .14 path estimate from intelligence to motivation,[object Object],“1 standard deviation increase of intelligence corresponds to a .4 standard deviation increase in motivation, controlling fo other factors in the model.”,[object Object]
Residual path,[object Object],Attached to every response variable (endogenous variable).,[object Object],Represents the variation unexplained by the explanatory variable (exogenous variable).,[object Object],Remaining portion of the (1-R2) of the unexplained variation, where R2 is the coefficient of multiple determination for the regression equation.,[object Object],Path coefficient=SQRT(1-R2),[object Object]
Decomposing path diagrams,[object Object],X  Z  Y,[object Object],Parameter of X and Y, controlling for the effects of Z,[object Object],Parameter of X on Y,[object Object],Parameter of Z on Y,[object Object]

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Path analysis

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