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Inferential Tests:
Analysis Tools
Analysis Tools
Chi-Square-Based
ANOVA-Based Regression-
BasedSpecial Case
Step 1: Identify Model
Step 2: Level of Measurement
Structural Equation Modeling
Step 2: Theory Driven?
Linkin
g
Hybrid
Data Reduction
Step 3: Go to Decision Table PCA FA
YesNo
Chi-Square-Based
ANOVA & Regression
BasedRegression-Based
Chi-Square & Regression-
Based
Step 1: Identify Model
Step 2: Level of Measurement
Linkin
g
Step 3: Go to Decision Table
Chi-SquareBased
ANOVA & Regression-
Based
Step 2: What is the Level of Measurement for Each Variable?
4 Levels 2 Categories
Nominal categorical
Ordinal Interval continuousRatio
Decision Table: Analysis Tools for Linking Models
Criterion Variable(s)
categorical continuous
PredictorVariable(s)
categorical Chi-SquareBased
ANOVA-Based
continuousRegression-Based
Decision Table : Analysis Tools for Linking Models with Single and Multiple Variables
Criterion Variable(s)
Noncontinuous continuous
SV MV SV MV
Predictor
Variable(s)
Noncontinuous
Single Variable Chi
SquareLog
LinearAVOVA
MANOVA
Multiple Variable Log
Linear
continuousSingle
Variable
LogisticRegression/Discriminant
Analysis
Simple
RegressionMultivariateRegression
Multiple Variable
LogisticRegression/Discriminant
Analysis
Multiple
RegressionCanonical
Correlation
Step 1: Identify Design
Step 2: Level of Measurement
Structural Equation Modeling
Step 2: Theory Driven?
Linkin
g
Hybrid
Data Reduction
Step 3: Go to Decision Table
PCA FA
YesNo
Regression-Based
Step 2: Theory Driven?
Data Reduction
Principal Components
Analysis (PCA)
Factor Analysis (FA)
YesNo
Step 1: Identify Design
Regression-Based
Step 1: Identify Model
Structural Equation Modeling
Hybrid
Chi-Square & Regression-
Based
How to Find the Analysis Tool for Your Model
A. Linking Model 1) Identify levels of measurement2) Use Decision Table to pinpoint analysis tools: chi-square, ANOVA and Regression-Based
B. Data Reduction Model 1) Theory-Based: Factor Analysis–
Regression-Based2) Not theory-Based: Principal Components
Analysis – Regression-BasedC. Hybrid Model: Both a Linking Model and a Data Reduction
Model - Chi-Square-Based and Regression-Based tools
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