Summary
Contents
Subject index
Quantitative Psychology is arguably one of the oldest disciplines within the field of psychology and nearly all psychologists are exposed to quantitative psychology in some form. While textbooks in statistics, research methods, and psychological measurement exist none offer a unified treatment of quantitative psychology. The SAGE Handbook of Quantitative Methods in Psychology does just that. Each chapter covers a methodological topic with equal attention paid to established theory and the challenges facing methodologists as they address new research questions using that particular methodology. The reader will come away from each chapter with a greater understanding of the methodology being addressed as well as an understanding of the directions for future developments within that methodological area.
Functional Data Analysis
Functional Data Analysis
An Overview of Functional Data Analysis
Functional data analysis explores samples of data where each observation arises from a curve or function. We require the data to provide enough information to estimate the curve and its properties that we wish to use. For example, Figure 30.1 displays one of 50 replications of the writing of ‘statistical science’ in Chinese described in Ramsay (2000). The curve is multivariate, being a trajectory in three-dimensional space: two coordinates X and Y on the writing surface plus the vertical coordinate Z. The location of the tip of the pen was recorded 400 times per second over the roughly six seconds required to write the script, with an error level of about 0.5 millimeters. This ...
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