An expert witness in a case of alleged racial discriminiationin a state univerit

Question

An expert witness in a case of alleged racial discriminiationin a state univerity of nursing introduce a regression of thedeterminants of salary of each preofessor for each yr during a 8 yrperiod (n=423) with the following results, with dependent variableYear (yr in which salary was obs), Predictors Year Hire (yr whenthe individual was hired) Race ( 1 if indivdiual is balck, 0otherwise), and Rank ( 1 if individual is an assistant professor, 0otherwise) Interpret. Variable         Coeffecient         t               P Intercept         -3,816,521      -29.4        .000 Year                  1,948              29.8         .000 YearHire          -826             -5.5        .000 Race                  -2,093          -4.3        .000 Rank                  -6,438         -22.3       .000 An expert witness in a case of alleged racial discriminiationin a state univerity of nursing introduce a regression of thedeterminants of salary of each preofessor for each yr during a 8 yrperiod (n=423) with the following results, with dependent variableYear (yr in which salary was obs), Predictors Year Hire (yr whenthe individual was hired) Race ( 1 if indivdiual is balck, 0otherwise), and Rank ( 1 if individual is an assistant professor, 0otherwise) Interpret. Variable         Coeffecient         t               P Intercept         -3,816,521      -29.4        .000 Year                  1,948              29.8         .000 YearHire          -826             -5.5        .000 Race                  -2,093          -4.3        .000 Rank                  -6,438         -22.3       .000

Explanation / Answer

1. The regression as a whole indicates a very strongfit.

2. R-squared is .81. The predictor variables as agroup explain 81.1% of the variation in Salary.

3. Examination of the individual regression coefficientsindicates that all of the variables are significantly differentfrom zero, p-values <0.01

4. Conclusion: The ethnicity of a professor doesmatter. A professor who is African-American earns on average$2,093 less than one who is not. Assistant professors earn onaverage $6,438 less than other professors. New hires earn less thanthose who have been there for some time. The finding thatthose who have been there longer have higher salaries is a fact ofrank and the tenure system. The finding that after controllingfor this, race does matter does support that racial discriminationis present.

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