Quantitative Approaches to Skill Acquisition in Choice Tasks

Abstract

VI 1 – INTRODUCTION 1 1.1 – DEVELOPMENTS IN THE LAW OF PRACTICE 1 1.2 – SEQUENTIAL SAMPLING MODELS OF CHOICE RT 4 1.2.1 – Lossless Sequential Sampling 5 1.2.2 – Leaky Sequential Sampling 8 1.3 – PRACTICE AND CHOICE RT MODELS 13 1.4 – INCORPORATING VARIABILITY 14 2 – THE ANALYSIS OF PRACTICE DATA 18 2.1 – AVERAGING LEARNING CURVES ACROSS AND WITHIN PARTICIPANTS 21 2.1.1 – Abstract 21 2.1.2 – Introduction 21 2.1.3 – Averaging Across Functions 23 2.1.4 – Averaging Within a Function 34 2.1.5 – Discussion 39 2.2 – ON THE USE OF NONPARAMETRIC REGRESSION IN ASSESSING PARAMETRIC REGRESSION MODELS 47 2.2.1 – Abstract 47 2.2.2 Introduction 47 2.2.3 – The Smooth Function Test 51 2.2.4 – Asymptotic Unbiasedness 53 2.2.5 – Example 1: Known Parametric Error Model 54 2.2.6 – Example 2: Estimated Error Model 61 2.2.7 – Discussion 66 3 – SOURCES OF VARIABILITY IN SEEXC 69 3.1 – THE SEEXC MODEL 69 3.1.2 – SEEXC and the Law of Practice 71 3.2 – SOURCES OF VARIABILITY 79 3.2.1 – LP and QP Plots 83 3.2.2 – Analytic Approaches 86 3.2.3 – Numeric Approaches 90 3.2.4 – Single Noise Sources 91

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