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Statistics (1 of 5) EXAM 1 COVERS MATERIAL PRIOR TO THIS CHAPTER/LECTURE Statistics (1 of 5) Statistical Analysis: Aims “Quantitative data can be collected within all “five P” data categories: they may be collected directly (e.g., as errors or preference rankings), or they may be derived from more complex data (e.g., interaction events derived from logging or eye tracking data, or features of artifacts). These are the “dependent variable” values resulting from an experiment. Examples: Statistics (1 of 5) Statistical Analysis: Aims The independent variable is the set of conditions that the experimenter has defined and has control over. Examples of independent variables that might have been associated with experiments producing the dependent variables are as follows: The aim of the analysis is to determine what effect (if any) the values of the independent variables have had on the values of the dependent variables. We want to find out if different values of the dependent variables can be attributed to the different values of the independent variable. Statistics (1 of 5) Statistical Analysis: Getting an Initial Overview of the Data “Note that it is useful to present and analyze “errors” (i.e., trials that have an incorrect answer) rather than “accuracy” (i.e., trials that have a correct answer). Doing so means that a “high” measure in either type of performanc data (high response time, high errors) implies poor performance and a “low” measure implies good performance. This consistency in interpretation makes performance bar charts easier to read and compare. For example”: Statistics (1 of 5) Statistical Analysis: Getting an Initial Overview of the Data “A statistic is a number that is calculated from a set of numbers and that characterizes an aspect of that set of numbers (e.g., mean, standard deviation, sum of the squares, etc.). The first step in creating useful statistics is to condense the raw data into a form that is meaningful to the research question – we do this using aggregation, the process of taking a set of numbers and representing it as one summary statistic, usually by taking the: Mean, Median, Mode, Min, Max, Standard Deviation or Variance, Range. When would each of the above summary statistics be useful?
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