Statistics - Admission/Application Essay Example

Statistics 29 November ANOVA and Paired T-test Is the average performace rating the same for all grades? Table 0 Table 1 Anova: Single FactorANOVASource of VariationSSdfMSFP-valueF critBetween Groups16704211670422454.091 0.0000 3.9402 Within Groups6534.4089668.067Total173576.497    Eta Squared0.962The average performance rating is not the same as figured in the Table 1.0, the Mean Difference = 0.Interpretation: p-value: 0.0000Is P-value < 0.05? YesDo we REJ or Not reject the null?

RejectIf the null hypothesis was rejected, what is the effect size value (eta squared): 0.962Meaning of effect size measure:It measures the interaction effect between Performance rating and the Grade. Its usually between 0 to 1.Or interation rate is 0.962 meaning the two variables are highly interacting; thus it shows that there may be no parity in performance rankingWhat does that decision mean in terms of our equal pay question:The pay is not equal according to the performance rating of the workers among the groups.

2Is the average salary the same for each of the grade levels?Table 2.0t-Test: Two-Sample Assuming Equal Variances SalaryMean45.449Variance366.086Observations49Pooled Variance184.783Hypothesized Mean Difference0df96t Stat15.368P(T