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One-Way Analysis of Variance: Comparing Several Means
One-Way Analysis of Variance: Comparing Several Means

... significantly different if we look at just two groups but not significantly different if we know that they are the smallest and the largest means in three groups. As we look at more groups, we expect the gap between the smallest and the largest sample mean to get larger. (Think of comparing the tall ...
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... Which of these is about a difference and which is addressing correlation? - well they aren't all that well described but I recon the first on is about seeing a difference and the second is about correlation, i.e. does the amount of exercise correlate with muscle strength, whereas the first is about ...
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Chapters 7 and 8 Sample Exercises Provide an appropriate response.
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The Proper Use of Risk Measures in Portfolio Theory

... different investors adopt different investment strategies in seeking to realize their investment objectives. In some sense risk itself is a subjective concept and this is probably the main characteristic of risk. Thus, even if we can identify some desirable features of an investment risk measure, pr ...
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... You have to think about how the data were collected. The assumption would be violated, for example, if one group comprised husbands and the other their wives. Whatever we measure on one might naturally be related to the other. Similarly, if we compared subjects’ performances before some treatment wi ...
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... • This is a plot of the number of accidents which happen on the 6th against those which happen on the 13th. • As each 6th of the month can be paired with the following 13th of the month. We called this paired data. • Looking at the plot, we see that the variation within each sample (6th and 13th) is ...
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Psychometrics

Psychometrics is a field of study concerned with the theory and technique of psychological measurement. One part of the field is concerned with the objective measurement of skills and knowledge, abilities, attitudes, personality traits, and educational achievement. For example, some psychometric researchers have, thus far, concerned themselves with the construction and validation of assessment instruments such as questionnaires, tests, raters' judgments, and personality tests. Another part of the field is concerned with statistical research bearing on measurement theory (e.g., item response theory; intraclass correlation).As a result of these focuses, psychometric research involves two major tasks: (i) the construction of instruments; and (ii) the development of procedures for measurement. Practitioners are described as psychometricians. All psychometricians usually possess a specific qualification, and while most are psychologists with advanced graduate training, many work for the government or in human resources departments. Others specialize as learning and development professionals.
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