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Using Multivariate Statistics

A practical guide for researchers on how to choose, execute, and interpret a wide range of multivariate statistical analyses using common software, with a strong emphasis on data screening and understanding underlying assumptions.

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What it’s about

Using Multivariate Statistics is an essential, comprehensive resource for any researcher or student navigating the complex world of advanced statistical analysis. It demystifies a wide array of techniques—from multiple regression and MANOVA to structural equation modeling and multilevel modeling—by focusing on practical application rather than dense mathematical theory. The book guides you through the entire research process, starting with crucial data screening procedures to ensure the integrity of your results, moving through the selection of the appropriate statistical test for your research question, and culminating in the detailed interpretation of computer output from popular software like SPSS and SAS. With its clear explanations, numerous examples, and focus on both the 'why' and the 'how,' this book empowers you to confidently analyze complex data, avoid common pitfalls, and produce sound, publishable research.

The through-line

Who it’s for
A researcher, graduate student, or analyst who possesses a complex dataset and wants to conduct sound, publishable research. They have mastered basic statistics but are now faced with multiple independent and/or dependent variables and feel uncertain about how to proceed to answer more sophisticated, real-world research questions.
The problem
The reader needs to analyze a complex dataset with multiple correlated variables but doesn't know which statistical technique to use, how to perform it correctly in software like SPSS or SAS, or how to interpret the complex output. The reader feels overwhelmed, intimidated, and uncertain about their ability to conduct advanced statistical analyses, fearing they will make a mistake, violate assumptions, misinterpret their results, and produce flawed or unpublishable research.
The plan
  1. Use the guide in Chapter 2 to select the correct multivariate technique for your research question.
  2. Follow the detailed data screening procedures in Chapter 4 to prepare your data for analysis by checking for accuracy, handling missing data, identifying outliers, and testing assumptions.
  3. Execute and interpret the analysis by following the step-by-step, real-world examples in the relevant technique chapters (5-16).
The payoff
Confidently choose and apply the correct multivariate statistical methods to any dataset. · Produce statistically sound, robust, and defensible research findings. · Understand and interpret complex statistical output, translating it into meaningful conclusions.

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