Statistics

9.

Analysis of Variance (ANOVA)

9.1.

9.1.1.

9.1.1.1.

Comparing Multiple Means

9.1.1.2.

Extension of t-test

9.1.2.

9.1.2.1.

9.1.2.1.1.

Testing Normality

9.1.2.1.2.

9.1.2.2.

Homogeneity of Variance

9.1.2.2.1.

9.1.2.2.2.

Bartlett's Test

9.1.2.3.

9.1.2.3.1.

Random Sampling

9.1.2.3.2.

Experimental Design

9.1.3.

9.1.3.1.

Null Hypothesis

9.1.3.2.

Alternative Hypothesis

9.1.4.

9.1.4.1.

9.1.4.2.

Degrees of Freedom

9.1.5.

9.1.5.1.

Sources of Variation

9.1.5.1.1.

9.1.5.1.2.

9.1.5.1.3.

9.1.5.2.

Calculation of Sums of Squares

9.1.5.2.1.

SSB (Sum of Squares Between)

9.1.5.2.2.

SSW (Sum of Squares Within)

9.1.5.2.3.

SST (Total Sum of Squares)

9.1.5.3.

Mean Squares and F-Ratio

9.1.5.3.1.

MSB (Mean Square Between)

9.1.5.3.2.

MSW (Mean Square Within)

9.1.5.3.3.

F-statistic Calculation

9.1.6.

9.1.6.1.

Need for Multiple Comparisons

9.1.6.2.

9.1.6.2.1.

9.1.6.2.2.

9.1.6.2.3.

9.1.6.3.

Bonferroni Correction

9.1.6.4.

Scheffé's Method

9.2.

9.2.1.

9.2.1.1.

Two Factor Analysis

9.2.1.2.

Interaction Effects

9.2.2.

9.2.2.1.

Factor A Effects

9.2.2.2.

Factor B Effects

9.2.3.

Interaction Effects

9.2.3.1.

9.2.3.2.

Graphical Analysis

9.2.4.

9.2.4.1.

Same as One-Way ANOVA

9.2.5.

ANOVA Table Structure

9.2.5.1.

Sources of Variation

9.2.5.2.

F-tests for Each Effect

9.2.6.

Interpretation of Results

9.2.6.1.

Significant Main Effects

9.2.6.2.

Significant Interactions

9.2.6.3.

Simple Effects Analysis

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10. Correlation and Regression