inferential tests analysis tools update 2011

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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