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Chapter 17 Making Sense of Advanced Statistical Procedures in Research Articles.

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Presentation on theme: "Chapter 17 Making Sense of Advanced Statistical Procedures in Research Articles."— Presentation transcript:

1 Chapter 17 Making Sense of Advanced Statistical Procedures in Research Articles

2 Brief Review of Multiple Regression  Predicting scores on a criterion variable from two or more predictor variables  Proportion of variance accounted for ( R 2 )

3 Hierarchical and Stepwise Multiple Regression  Hierarchical multiple regression –Examine contribution to the prediction of each variable added in a sequential fashion  Stepwise Multiple regression –Controversial exploratory procedure –Predictor variable with best prediction located –Find next predictor variable that gives highest R 2 with first predictor variable –Repeat until best predictor variable does not give significant improvement

4 Hierarchical and Stepwise Multiple Regression  Both involve adding variables a stage at a time and checking for significant improvement of prediction  Theory/plan determines order of variables in hierarchical regression  No initial plan in stepwise regression –Useful in exploratory and applied research

5 Partial Correlation  Association between two variables, over and above influence of one or more other variables  Holding constant, partialing out, controlling for, adjusting for  Partial correlation coefficient

6 Reliability  Reliability –Test-retest reliability –Split-half reliability –Cronbach’s alpha (α) –Interrater reliability

7 Factor Analysis  Measured large number of variables  Identifies variables that clump together  Factor  Factor loading  Several approaches to factor analysis  Naming the factors

8 Causal Modeling  Measured large number of variables  Does the pattern of correlations match theory of which variables cause which?  Path analysis –Path –Path coefficient

9 Causal Modeling  Path analysis

10 Causal Modeling  Structural equation modeling –Elaboration of path analysis –Fit index e.g., RMSEA –Latent variable –Measured variable

11 Causal Modeling  Structural equation modeling

12 Causal Modeling  Structural equation modeling

13 Causal Modeling  Limitations –Other patterns of causality possible –Alternative theories –Correlation and causality –Linear relationships –Restriction in range

14 Independent and Dependent Variables  Independent variable –Predictor variable  Dependent variable –Criterion variable

15 Analysis of Covariance (ANCOVA)  ANOVA adjusting the dependent variable for effect of additional variables  Analogous to partial correlation  Covariate  Adjusted means

16 Multivariate Analysis of Variance (MANOVA) and Covariance (MANCOVA)  Multivariate statistics –More than one dependent variable  Multivariate analysis of variance (MANOVA) –ANOVA with more than one dependent variable –Univariate ANOVA

17 Multivariate Analysis of Variance (MANOVA) and Covariance (MANCOVA)  Multivariate analysis of covariance (MANCOVA) –ANCOVA with more than one dependent variable –MANOVA with covariates

18 Overview of Statistical Techniques

19 Controversy: Should Statistics be Controversial?  Fisher  Neyman  Pearson

20 Reading Results Using Unfamiliar Techniques  Don’t panic!  Look for a p level  Look for pattern of results that is considered significant  Look for degree of association or size of the difference  Look up in statistics book  Take more statistics courses!


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