Category Archives: Essays on Mathematics

RELIABILITY ANALYSIS OF LEADERSHIP EFFECTIVENESS: Mathematics Paper

Sample Essay

Words 3,653

Summary

The “Nordic” questionnaire produced a data set that were examined to determine the reliability of the underlying nine scales and for ways in which the use of these scales could be concatenated in various ways to predict with an effective level of reliability the overall satisfaction from both above and below of the manager as a leader. In examining these scales, all were found to be reliable; however, the questionnaire as it is currently configured is highly redundant; over one-third of the questions can be eliminated without compromising the reliability of the questionnaire, which will be strengthened by being shorter (give that shorter questionnaires tend to have higher response rates).

Regression analysis of these results demonstrated that three vectors (Communication, Planning/Execution, and Teamwork) are the best predictors of overall satisfaction; however, the different reporting groups tended to employ different criteria in judging overall satisfaction. Because of the differences in reporting in these two groups, two different varieties of reduced-form scales (of between 16 and 18 items) derived from regression models may be used instead.

The process of 360-degree feedback involves both an upward and downward evaluation in a process in which all peers in a work team or department have the opportunity to evaluate their co-workers, including their supervisors as well as their subordinates. This evaluation may take a number of different forms but is most typically a questionnaire with ten to fifty question based on issues or values that the company wishes its employee to possess.

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Statistical Analysis of a Secondary Data Set: Term Paper

Sample Paper

Words 1,878

Introduction

We are generally taught in high school that the Industrial Revolution was a good thing for humanity, that it has increased both our welfare and our happiness. And in many ways this is arguably true. In general we live longer now than our ancestors did before the Industrial Revolution, our children are much less likely to die in infancy, women are much less likely to die giving birth to those children. We can now fight cancer, provide anesthetics, fight infections with antibiotics, replace failing hearts with those taken from other people or with robotics. We have the luxuries of refrigeration, quality-controlled pharmacies, municipal codes that prohibit the burning of noxious substances and ensure that homes and other buildings meet minimal safety standards, our children have the luxury of attending school into adulthood so that they learn good habits and understand the basics of human health.

And yet, of course, the Industrial Revolution also has also brought up about a number of health problems that we tend to overlook in the midst of so many signs of obvious improvement in the standard of living. This paper uses a statistical analysis of a data set to provide an insight into the mixed health inheritance that is ours from the process of industrialization that occurred from roughly the beginning to the middle of the 19th century.

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