Answering Questions with Inferential Statistics

Descriptive statistics summarize data. Inferential statistics extend those insights by examining relationships, testing differences, and estimating outcomes beyond the sample.

In this section, you will explore the major families of inferential methods used in applied quantitative research. These include analyses of association, group differences, repeated measures, and prediction. Each method addresses a specific type of research question and carries distinct assumptions and interpretive boundaries.

Inferential statistics are powerful tools, but their value depends on appropriate selection and responsible interpretation. As emphasized throughout this book, statistical tests do not determine causality; research design does. Software does not determine meaning; researchers do.

The chapters in this section build on the foundations established earlier in the book. By aligning research questions, variable types, and design structures, you will learn how to select and interpret statistical analyses that support defensible conclusions.

Inferential statistics are not an end in themselves. They are tools for disciplined reasoning in service of evidence-based decision-making.