What are some of the key Analytical Tools in Market Research?

Here are some common analytics:

Customer Satisfaction/Unmet Needs

Some examples:  Matrix Analysis, Customer Loyalty Drivers or Stage Diagrams

Competitive Analysis

Competitive Issue Targeting Graphics, Loyalty Quadrants, Venn Diagrams

Winn/Loss Research

Win/Loss Factor Displays

Brand Awareness and Equity

Brand Equity Driver Diagram, Structural Equations Modeling, Regression Analysis

Brand Positioning

Correspondence Analysis, Multidimensional scaling, SWOT Display

Segmentation

Needs-based modeling, VOTE overview, Multidimensional Preference Map