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Professor Salaries Statistical Analysis

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Professor Salaries Investigation

This report will analyze professor salaries at an unnamed college for the nine-month school year of 2008-2009. The source of the data set is an excel file taken from the book, An R Companion to Applied Regression, Second Edition Sage, written by John Fox and Sanford Weisberg. The data set contains salary statistics for all full time professors, therefore, the data set is a population. The conclusions reached in this data analysis will be for the entire population of full time professors at this one unnamed college. The data set contains 255 observations and five variables. The variables are discipline of the professor as theoretical or applied, years of service, years of service since obtaining a PHD, gender, and salary. There is a mix of categorical and quantitative variables to allow for in-depth statistical analysis. The objective of performing data analysis on a population of professor salaries at one college will be to learn any salary discrepancies between the males and females. The following statistical analyses will be performed: * Compare the proportion of males to females in the population * Compare the mean and median salaries for males and females * Compare the distribution of salaries for males and females * Determine if equitable salaries between males and females, and * Determine if there is an association between years of service and salary level for the population, males, and females.
We will use basic statistical methods to perform the above analyses, which include frequency tables, histograms, boxplots, and scatterplots. We first calculated the proportion of males to females in the population and created a frequency table to display the results. For this calculation we are only using one categorical variable: gender. The proportion of males in the population can be found using the

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